2017, ISBN: 9780071068116

McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field … More...

McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy`s theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Contents: Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The Geometric Representation of Complex Numbers 2.1 Geometric Addition and Multiplication 2.2 The Binomial Equation 2.3 Analytic Geometry 2.4 The Spherical Representation Chapter 2: Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel`s Limit Theorem 3 The Exponential and Trigonometric Functions 3.1 The Exponential 3.2 The Trigonometric Functions 3.3 The Periodicity 3.4 The Logarithm Chapter 3: Analytic Functions as Mappings 1 Elementary Point Set Topology 1.1 Sets and Elements 1.2 Metric Spaces 1.3 Connectedness 1.4 Compactness 1.5 Continuous Functions 1.6 Topological Spaces 2 Conformality 2.1 Arcs and Closed Curves 2.2 Analytic Functions in Regions 2.3 Conformal Mapping 2.4 Length and Area 3 Linear Transformations 3.1 The Linear Group 3.2 The Cross Ratio 3.3 Symmetry 3.4 Oriented Circles 3.5 Families of Circles 4 Elementary Conformal Mappings 4.1 The Use of Level Curves 4.2 A Survey of Elementary Mappings 4.3 Elementary Riemann Surfaces Chapter 4: Complex Integration 1 Fundamental Theorems 1.1 Line Integrals 1.2 Rectifiable Arcs 1.3 Line Integrals as Functions of Arcs 1.4 Cauchy`s Theorem for a Rectangle 1.5 Cauchy`s Theorem in a Disk 2 Cauchy`s Integral Formula 2.1 The Index of a Point with Respect to a Closed Curve 2.2 The Integral Formula 2.3 Higher Derivatives 3 Local Properties of Analytical Functions 3.1 Removable Singularities. Taylor`s Theorem 3.2 Zeros and Poles 3.3 The Local Mapping 3.4 The Maximum Principle 4 The General Form of Cauchy`s Theorem 4.1 Chains and Cycles 4.2 Simple Connectivity 4.3 Homology 4.4 The General Statement of Cauchy`s Theorem 4.5 Proof of Cauchy`s Theorem 4.6 Locally Exact Differentials 4.7 Multiply Connected Regions 5 The Calculus of Residues 5.1 The Residue Theorem 5.2 The Argument Principle 5.3 Evaluation of Definite Integrals 6 Harmonic Functions 6.1 Definition and Basic Properties 6.2 The Mean-value Property 6.3 Poisson`s Formula 6.4 Schwarz`s Theorem 6.5 The Reflection Principle Chapter 5: Series and Product Developments 1 Power Series Expansions 1.1 Wierstrass`s Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling`s Formula 3 Entire Functions 3.1 Jensen`s Formula 3.2 Hadamard`s Theorem 4 The Riemann Zeta Function 4.1 The Product Development 4.2 Extension of ?(s) to the Whole Plane 4.3 The Functional Equation 4.4 The Zeros of the Zeta Function 5 Normal Families 5.1 Equicontinuity 5.2 Printed Pages: 345. NA, McGraw Hill Education, 2017, 6, McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy`s theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Contents: Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The Geometric Representation of Complex Numbers 2.1 Geometric Addition and Multiplication 2.2 The Binomial Equation 2.3 Analytic Geometry 2.4 The Spherical Representation Chapter 2: Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel`s Limit Theorem 3 The Exponential and Trigonometric Functions 3.1 The Exponential 3.2 The Trigonometric Functions 3.3 The Periodicity 3.4 The Logarithm Chapter 3: Analytic Functions as Mappings 1 Elementary Point Set Topology 1.1 Sets and Elements 1.2 Metric Spaces 1.3 Connectedness 1.4 Compactness 1.5 Continuous Functions 1.6 Topological Spaces 2 Conformality 2.1 Arcs and Closed Curves 2.2 Analytic Functions in Regions 2.3 Conformal Mapping 2.4 Length and Area 3 Linear Transformations 3.1 The Linear Group 3.2 The Cross Ratio 3.3 Symmetry 3.4 Oriented Circles 3.5 Families of Circles 4 Elementary Conformal Mappings 4.1 The Use of Level Curves 4.2 A Survey of Elementary Mappings 4.3 Elementary Riemann Surfaces Chapter 4: Complex Integration 1 Fundamental Theorems 1.1 Line Integrals 1.2 Rectifiable Arcs 1.3 Line Integrals as Functions of Arcs 1.4 Cauchy`s Theorem for a Rectangle 1.5 Cauchy`s Theorem in a Disk 2 Cauchy`s Integral Formula 2.1 The Index of a Point with Respect to a Closed Curve 2.2 The Integral Formula 2.3 Higher Derivatives 3 Local Properties of Analytical Functions 3.1 Removable Singularities. Taylor`s Theorem 3.2 Zeros and Poles 3.3 The Local Mapping 3.4 The Maximum Principle 4 The General Form of Cauchy`s Theorem 4.1 Chains and Cycles 4.2 Simple Connectivity 4.3 Homology 4.4 The General Statement of Cauchy`s Theorem 4.5 Proof of Cauchy`s Theorem 4.6 Locally Exact Differentials 4.7 Multiply Connected Regions 5 The Calculus of Residues 5.1 The Residue Theorem 5.2 The Argument Principle 5.3 Evaluation of Definite Integrals 6 Harmonic Functions 6.1 Definition and Basic Properties 6.2 The Mean-value Property 6.3 Poisson`s Formula 6.4 Schwarz`s Theorem 6.5 The Reflection Principle Chapter 5: Series and Product Developments 1 Power Series Expansions 1.1 Wierstrass`s Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling`s Formula 3 Entire Functions 3.1 Jensen`s Formula 3.2 Hadamard`s Theorem 4 The Riemann Zeta Function 4.1 The Product Development 4.2 Extension of ?(s) to the Whole Plane 4.3 The Functional Equation 4.4 The Zeros of the Zeta Function 5 Normal Families 5.1 Equicontinuity 5.2 Printed Pages: 345., McGraw Hill Education, 2017, 6, McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy`s theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Contents: Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The Geometric Representation of Complex Numbers 2.1 Geometric Addition and Multiplication 2.2 The Binomial Equation 2.3 Analytic Geometry 2.4 The Spherical Representation Chapter 2: Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel`s Limit Theorem 3 The Exponential and Trigonometric Functions 3.1 The Exponential 3.2 The Trigonometric Functions 3.3 The Periodicity 3.4 The Logarithm Chapter 3: Analytic Functions as Mappings 1 Elementary Point Set Topology 1.1 Sets and Elements 1.2 Metric Spaces 1.3 Connectedness 1.4 Compactness 1.5 Continuous Functions 1.6 Topological Spaces 2 Conformality 2.1 Arcs and Closed Curves 2.2 Analytic Functions in Regions 2.3 Conformal Mapping 2.4 Length and Area 3 Linear Transformations 3.1 The Linear Group 3.2 The Cross Ratio 3.3 Symmetry 3.4 Oriented Circles 3.5 Families of Circles 4 Elementary Conformal Mappings 4.1 The Use of Level Curves 4.2 A Survey of Elementary Mappings 4.3 Elementary Riemann Surfaces Chapter 4: Complex Integration 1 Fundamental Theorems 1.1 Line Integrals 1.2 Rectifiable Arcs 1.3 Line Integrals as Functions of Arcs 1.4 Cauchy`s Theorem for a Rectangle 1.5 Cauchy`s Theorem in a Disk 2 Cauchy`s Integral Formula 2.1 The Index of a Point with Respect to a Closed Curve 2.2 The Integral Formula 2.3 Higher Derivatives 3 Local Properties of Analytical Functions 3.1 Removable Singularities. Taylor`s Theorem 3.2 Zeros and Poles 3.3 The Local Mapping 3.4 The Maximum Principle 4 The General Form of Cauchy`s Theorem 4.1 Chains and Cycles 4.2 Simple Connectivity 4.3 Homology 4.4 The General Statement of Cauchy`s Theorem 4.5 Proof of Cauchy`s Theorem 4.6 Locally Exact Differentials 4.7 Multiply Connected Regions 5 The Calculus of Residues 5.1 The Residue Theorem 5.2 The Argument Principle 5.3 Evaluation of Definite Integrals 6 Harmonic Functions 6.1 Definition and Basic Properties 6.2 The Mean-value Property 6.3 Poisson`s Formula 6.4 Schwarz`s Theorem 6.5 The Reflection Principle Chapter 5: Series and Product Developments 1 Power Series Expansions 1.1 Wierstrass`s Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling`s Formula 3 Entire Functions 3.1 Jensen`s Formula 3.2 Hadamard`s Theorem 4 The Riemann Zeta Function 4.1 The Product Development 4.2 Extension of ?(s) to the Whole Plane 4.3 The Functional Equation 4.4 The Zeros of the Zeta Function 5 Normal Families 5.1 Equicontinuity 5.2 Printed Pages: 345., McGraw Hill Education, 2017, 6, McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy`s theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Contents: Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The Geometric Representation of Complex Numbers 2.1 Geometric Addition and Multiplication 2.2 The Binomial Equation 2.3 Analytic Geometry 2.4 The Spherical Representation Chapter 2: Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel`s Limit Theorem 3 The Exponential and Trigonometric Functions 3.1 The Exponential 3.2 The Trigonometric Functions 3.3 The Periodicity 3.4 The Logarithm Chapter 3: Analytic Functions as Mappings 1 Elementary Point Set Topology 1.1 Sets and Elements 1.2 Metric Spaces 1.3 Connectedness 1.4 Compactness 1.5 Continuous Functions 1.6 Topological Spaces 2 Conformality 2.1 Arcs and Closed Curves 2.2 Analytic Functions in Regions 2.3 Conformal Mapping 2.4 Length and Area 3 Linear Transformations 3.1 The Linear Group 3.2 The Cross Ratio 3.3 Symmetry 3.4 Oriented Circles 3.5 Families of Circles 4 Elementary Conformal Mappings 4.1 The Use of Level Curves 4.2 A Survey of Elementary Mappings 4.3 Elementary Riemann Surfaces Chapter 4: Complex Integration 1 Fundamental Theorems 1.1 Line Integrals 1.2 Rectifiable Arcs 1.3 Line Integrals as Functions of Arcs 1.4 Cauchy`s Theorem for a Rectangle 1.5 Cauchy`s Theorem in a Disk 2 Cauchy`s Integral Formula 2.1 The Index of a Point with Respect to a Closed Curve 2.2 The Integral Formula 2.3 Higher Derivatives 3 Local Properties of Analytical Functions 3.1 Removable Singularities. Taylor`s Theorem 3.2 Zeros and Poles 3.3 The Local Mapping 3.4 The Maximum Principle 4 The General Form of Cauchy`s Theorem 4.1 Chains and Cycles 4.2 Simple Connectivity 4.3 Homology 4.4 The General Statement of Cauchy`s Theorem 4.5 Proof of Cauchy`s Theorem 4.6 Locally Exact Differentials 4.7 Multiply Connected Regions 5 The Calculus of Residues 5.1 The Residue Theorem 5.2 The Argument Principle 5.3 Evaluation of Definite Integrals 6 Harmonic Functions 6.1 Definition and Basic Properties 6.2 The Mean-value Property 6.3 Poisson`s Formula 6.4 Schwarz`s Theorem 6.5 The Reflection Principle Chapter 5: Series and Product Developments 1 Power Series Expansions 1.1 Wierstrass`s Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling`s Formula 3 Entire Functions 3.1 Jensen`s Formula 3.2 Hadamard`s Theorem 4 The Riemann Zeta Function 4.1 The Product Development 4.2 Extension of ?(s) to the Whole Plane 4.3 The Functional Equation 4.4 The Zeros of the Zeta Function 5 Normal Families 5.1 Equicontinuity 5.2 Printed Pages: 345., McGraw Hill Education, 2017, 6, McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy`s theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Contents: Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The Geometric Representation of Complex Numbers 2.1 Geometric Addition and Multiplication 2.2 The Binomial Equation 2.3 Analytic Geometry 2.4 The Spherical Representation Chapter 2: Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel`s Limit Theorem 3 The Exponential and Trigonometric Functions 3.1 The Exponential 3.2 The Trigonometric Functions 3.3 The Periodicity 3.4 The Logarithm Chapter 3: Analytic Functions as Mappings 1 Elementary Point Set Topology 1.1 Sets and Elements 1.2 Metric Spaces 1.3 Connectedness 1.4 Compactness 1.5 Continuous Functions 1.6 Topological Spaces 2 Conformality 2.1 Arcs and Closed Curves 2.2 Analytic Functions in Regions 2.3 Conformal Mapping 2.4 Length and Area 3 Linear Transformations 3.1 The Linear Group 3.2 The Cross Ratio 3.3 Symmetry 3.4 Oriented Circles 3.5 Families of Circles 4 Elementary Conformal Mappings 4.1 The Use of Level Curves 4.2 A Survey of Elementary Mappings 4.3 Elementary Riemann Surfaces Chapter 4: Complex Integration 1 Fundamental Theorems 1.1 Line Integrals 1.2 Rectifiable Arcs 1.3 Line Integrals as Functions of Arcs 1.4 Cauchy`s Theorem for a Rectangle 1.5 Cauchy`s Theorem in a Disk 2 Cauchy`s Integral Formula 2.1 The Index of a Point with Respect to a Closed Curve 2.2 The Integral Formula 2.3 Higher Derivatives 3 Local Properties of Analytical Functions 3.1 Removable Singularities. Taylor`s Theorem 3.2 Zeros and Poles 3.3 The Local Mapping 3.4 The Maximum Principle 4 The General Form of Cauchy`s Theorem 4.1 Chains and Cycles 4.2 Simple Connectivity 4.3 Homology 4.4 The General Statement of Cauchy`s Theorem 4.5 Proof of Cauchy`s Theorem 4.6 Locally Exact Differentials 4.7 Multiply Connected Regions 5 The Calculus of Residues 5.1 The Residue Theorem 5.2 The Argument Principle 5.3 Evaluation of Definite Integrals 6 Harmonic Functions 6.1 Definition and Basic Properties 6.2 The Mean-value Property 6.3 Poisson`s Formula 6.4 Schwarz`s Theorem 6.5 The Reflection Principle Chapter 5: Series and Product Developments 1 Power Series Expansions 1.1 Wierstrass`s Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling`s Formula 3 Entire Functions 3.1 Jensen`s Formula 3.2 Hadamard`s Theorem 4 The Riemann Zeta Function 4.1 The Product Development 4.2 Extension of ?(s) to the Whole Plane 4.3 The Functional Equation 4.4 The Zeros of the Zeta Function 5 Normal Families 5.1 Equicontinuity 5.2 Printed Pages: 345. NA, McGraw Hill Education, 2017, 6, McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy`s theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Contents: Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The Geometric Representation of Complex Numbers 2.1 Geometric Addition and Multiplication 2.2 The Binomial Equation 2.3 Analytic Geometry 2.4 The Spherical Representation Chapter 2: Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel`s Limit Theorem 3 The Exponential and Trigonometric Functions 3.1 The Exponential 3.2 The Trigonometric Functions 3.3 The Periodicity 3.4 The Logarithm Chapter 3: Analytic Functions as Mappings 1 Elementary Point Set Topology 1.1 Sets and Elements 1.2 Metric Spaces 1.3 Connectedness 1.4 Compactness 1.5 Continuous Functions 1.6 Topological Spaces 2 Conformality 2.1 Arcs and Closed Curves 2.2 Analytic Functions in Regions 2.3 Conformal Mapping 2.4 Length and Area 3 Linear Transformations 3.1 The Linear Group 3.2 The Cross Ratio 3.3 Symmetry 3.4 Oriented Circles 3.5 Families of Circles 4 Elementary Conformal Mappings 4.1 The Use of Level Curves 4.2 A Survey of Elementary Mappings 4.3 Elementary Riemann Surfaces Chapter 4: Complex Integration 1 Fundamental Theorems 1.1 Line Integrals 1.2 Rectifiable Arcs 1.3 Line Integrals as Functions of Arcs 1.4 Cauchy`s Theorem for a Rectangle 1.5 Cauchy`s Theorem in a Disk 2 Cauchy`s Integral Formula 2.1 The Index of a Point with Respect to a Closed Curve 2.2 The Integral Formula 2.3 Higher Derivatives 3 Local Properties of Analytical Functions 3.1 Removable Singularities. Taylor`s Theorem 3.2 Zeros and Poles 3.3 The Local Mapping 3.4 The Maximum Principle 4 The General Form of Cauchy`s Theorem 4.1 Chains and Cycles 4.2 Simple Connectivity 4.3 Homology 4.4 The General Statement of Cauchy`s Theorem 4.5 Proof of Cauchy`s Theorem 4.6 Locally Exact Differentials 4.7 Multiply Connected Regions 5 The Calculus of Residues 5.1 The Residue Theorem 5.2 The Argument Principle 5.3 Evaluation of Definite Integrals 6 Harmonic Functions 6.1 Definition and Basic Properties 6.2 The Mean-value Property 6.3 Poisson`s Formula 6.4 Schwarz`s Theorem 6.5 The Reflection Principle Chapter 5: Series and Product Developments 1 Power Series Expansions 1.1 Wierstrass`s Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling`s Formula 3 Entire Functions 3.1 Jensen`s Formula 3.2 Hadamard`s Theorem 4 The Riemann Zeta Function 4.1 The Product Development 4.2 Extension of ?(s) to the Whole Plane 4.3 The Functional Equation 4.4 The Zeros of the Zeta Function 5 Normal Families 5.1 Equicontinuity 5.2 Printed Pages: 345., McGraw Hill Education, 2017, 6, McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy`s theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Contents: Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The Geometric Representation of Complex Numbers 2.1 Geometric Addition and Multiplication 2.2 The Binomial Equation 2.3 Analytic Geometry 2.4 The Spherical Representation Chapter 2: Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel`s Limit Theorem 3 The Exponential and Trigonometric Functions 3.1 The Exponential 3.2 The Trigonometric Functions 3.3 The Periodicity 3.4 The Logarithm Chapter 3: Analytic Functions as Mappings 1 Elementary Point Set Topology 1.1 Sets and Elements 1.2 Metric Spaces 1.3 Connectedness 1.4 Compactness 1.5 Continuous Functions 1.6 Topological Spaces 2 Conformality 2.1 Arcs and Closed Curves 2.2 Analytic Functions in Regions 2.3 Conformal Mapping 2.4 Length and Area 3 Linear Transformations 3.1 The Linear Group 3.2 The Cross Ratio 3.3 Symmetry 3.4 Oriented Circles 3.5 Families of Circles 4 Elementary Conformal Mappings 4.1 The Use of Level Curves 4.2 A Survey of Elementary Mappings 4.3 Elementary Riemann Surfaces Chapter 4: Complex Integration 1 Fundamental Theorems 1.1 Line Integrals 1.2 Rectifiable Arcs 1.3 Line Integrals as Functions of Arcs 1.4 Cauchy`s Theorem for a Rectangle 1.5 Cauchy`s Theorem in a Disk 2 Cauchy`s Integral Formula 2.1 The Index of a Point with Respect to a Closed Curve 2.2 The Integral Formula 2.3 Higher Derivatives 3 Local Properties of Analytical Functions 3.1 Removable Singularities. Taylor`s Theorem 3.2 Zeros and Poles 3.3 The Local Mapping 3.4 The Maximum Principle 4 The General Form of Cauchy`s Theorem 4.1 Chains and Cycles 4.2 Simple Connectivity 4.3 Homology 4.4 The General Statement of Cauchy`s Theorem 4.5 Proof of Cauchy`s Theorem 4.6 Locally Exact Differentials 4.7 Multiply Connected Regions 5 The Calculus of Residues 5.1 The Residue Theorem 5.2 The Argument Principle 5.3 Evaluation of Definite Integrals 6 Harmonic Functions 6.1 Definition and Basic Properties 6.2 The Mean-value Property 6.3 Poisson`s Formula 6.4 Schwarz`s Theorem 6.5 The Reflection Principle Chapter 5: Series and Product Developments 1 Power Series Expansions 1.1 Wierstrass`s Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling`s Formula 3 Entire Functions 3.1 Jensen`s Formula 3.2 Hadamard`s Theorem 4 The Riemann Zeta Function 4.1 The Product Development 4.2 Extension of ?(s) to the Whole Plane 4.3 The Functional Equation 4.4 The Zeros of the Zeta Function 5 Normal Families 5.1 Equicontinuity 5.2 Printed Pages: 345., McGraw Hill Education, 2017, 6, McGraw Hill Education, 2017. Softcover. New. 14 x 22 cm. A standard source of information of functions of one complex variable, this text has retained its wide popularity in this field by being consistently rigorous without becoming needlessly concerned with advanced or overspecialized material. Difficult points have been clarified, the book has been reviewed for accuracy, and notations and terminology have been modernized. Chapter 2, Complex Functions, features a brief section on the change of length and area under conformal mapping, and much of Chapter 8, Global-Analytic Functions, has been rewritten in order to introduce readers to the terminology of germs and sheaves while still emphasizing that classical concepts are the backbone of the theory. Chapter 4, Complex Integration, now includes a new and simpler proof of the general form of Cauchy`s theorem. There is a short section on the Riemann zeta function, showing the use of residues in a more exciting situation than in the computation of definite integrals. Contents: Chapter 1: Complex Numbers 1 The Algebra of Complex Numbers 1.1 Arithmetic Operations 1.2 Square Roots 1.3 Justification 1.4 Conjugation, Absolute Value 1.5 Inequalities 2 The Geometric Representation of Complex Numbers 2.1 Geometric Addition and Multiplication 2.2 The Binomial Equation 2.3 Analytic Geometry 2.4 The Spherical Representation Chapter 2: Complex Functions 1 Introduction to the Concept of Analytic Function 1.1 Limits and Continuity 1.2 Analytic Functions 1.3 Polynomials 1.4 Rational Functions 2 Elementary Theory of Power Series 2.1 Sequences 2.2 Series 2.3 Uniform Coverages 2.4 Power Series 2.5 Abel`s Limit Theorem 3 The Exponential and Trigonometric Functions 3.1 The Exponential 3.2 The Trigonometric Functions 3.3 The Periodicity 3.4 The Logarithm Chapter 3: Analytic Functions as Mappings 1 Elementary Point Set Topology 1.1 Sets and Elements 1.2 Metric Spaces 1.3 Connectedness 1.4 Compactness 1.5 Continuous Functions 1.6 Topological Spaces 2 Conformality 2.1 Arcs and Closed Curves 2.2 Analytic Functions in Regions 2.3 Conformal Mapping 2.4 Length and Area 3 Linear Transformations 3.1 The Linear Group 3.2 The Cross Ratio 3.3 Symmetry 3.4 Oriented Circles 3.5 Families of Circles 4 Elementary Conformal Mappings 4.1 The Use of Level Curves 4.2 A Survey of Elementary Mappings 4.3 Elementary Riemann Surfaces Chapter 4: Complex Integration 1 Fundamental Theorems 1.1 Line Integrals 1.2 Rectifiable Arcs 1.3 Line Integrals as Functions of Arcs 1.4 Cauchy`s Theorem for a Rectangle 1.5 Cauchy`s Theorem in a Disk 2 Cauchy`s Integral Formula 2.1 The Index of a Point with Respect to a Closed Curve 2.2 The Integral Formula 2.3 Higher Derivatives 3 Local Properties of Analytical Functions 3.1 Removable Singularities. Taylor`s Theorem 3.2 Zeros and Poles 3.3 The Local Mapping 3.4 The Maximum Principle 4 The General Form of Cauchy`s Theorem 4.1 Chains and Cycles 4.2 Simple Connectivity 4.3 Homology 4.4 The General Statement of Cauchy`s Theorem 4.5 Proof of Cauchy`s Theorem 4.6 Locally Exact Differentials 4.7 Multiply Connected Regions 5 The Calculus of Residues 5.1 The Residue Theorem 5.2 The Argument Principle 5.3 Evaluation of Definite Integrals 6 Harmonic Functions 6.1 Definition and Basic Properties 6.2 The Mean-value Property 6.3 Poisson`s Formula 6.4 Schwarz`s Theorem 6.5 The Reflection Principle Chapter 5: Series and Product Developments 1 Power Series Expansions 1.1 Wierstrass`s Theorem 1.2 The Taylor Series 1.3 The Laurent Series 2 Partial Fractions and Factorization 2.1 Partial Fractions 2.2 Infinite Products 2.3 Canonical Products 2.4 The Gamma Function 2.5 Stirling`s Formula 3 Entire Functions 3.1 Jensen`s Formula 3.2 Hadamard`s Theorem 4 The Riemann Zeta Function 4.1 The Product Development 4.2 Extension of ?(s) to the Whole Plane 4.3 The Functional Equation 4.4 The Zeros of the Zeta Function 5 Normal Families 5.1 Equicontinuity 5.2 Printed Pages: 345., McGraw Hill Education, 2017, 6, Tata McGraw-Hill Education Pvt. Ltd., 2010. 5th or later edition. Softcover. New. The new edition of Business Statistics in Practice provides a modern, practical, and unique framework for teaching the first course in business statistics. This framework features case study and example- driven discussions of all basic business statistics topics. In addition, the authors have rewritten many of the discussions in this edition and have explained concepts more simply from first principles. The only prerequisite for this text is high school algebra. Table of Contents: 1. An Introduction to Business Statistics 2. Descriptive Statistics: Tabular and Graphical Methods 3. Descriptive Statistics: Numerical Methods 4. Probability 5. Discrete Random Variables 6. Continuous Random Variables 7. Sampling Distributions 8. Confidence Intervals 9. Hypothesis Testing 10. Statistical Inferences Based on Two Samples 11. Experimental Design and Analysis of Variance 12. Chi-Square Tests 13. Simple Linear Regression Analysis 14. Multiple Regression 15. Model Buildling and Model Diagnostics 16. Time Series Forecasting 17. Process Improvement Using Control Charts 18. Nonparametric Methods 19. Decision Theory Appendix A: Statistical Tables Appendix B: Counting Rules Appendix C: Hypergeometric Distribution Appendix D: Properties of the Mean and the Varijance of a Random Variable, and the Covariance Appendix E: Derivations of the Mean and Variance of x(bar) and p(hat). On CD-ROM: Appendix F (Part I): Stratified Random Sampling Appendix F (Part II): Cluster Sampling and Ratios Estimation Apprendix G: Using Matrix Algebra to Perform Regression Calculations Appendix H: The Regression Approach to Two-Way Anallysis of Variance Appendix I: Factor Analysis, Cluster Analysis, and Multidimensional Scaling Appendix J: The Box-Jenkins Methodology Appendix K: Holt-Winters? Models Appendix L: Individual Charts and c Charts Printed Pages: 936., Tata McGraw-Hill Education Pvt. Ltd., 2010, 6<

2014, ISBN: 9780071068116

CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Di… More...

CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Direct and Free Products Abelian Groups Special Features of Commutative Groups Exact Sequences of Abelian Groups Categories and Functors Natural Transformations Duality Principle Adjoint Functors Modules Rings The Functor Hom Integral Domains Semi - Simple Rings The Morita Theorem The Functors Ext and Tor List of Symbols Printed Pages: 264., CBS Publishers & Distributors Pvt. Ltd., 2014, 6, CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Direct and Free Products Abelian Groups Special Features of Commutative Groups Exact Sequences of Abelian Groups Categories and Functors Natural Transformations Duality Principle Adjoint Functors Modules Rings The Functor Hom Integral Domains Semi - Simple Rings The Morita Theorem The Functors Ext and Tor List of Symbols Printed Pages: 264., CBS Publishers & Distributors Pvt. Ltd., 2014, 6, CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Direct and Free Products Abelian Groups Special Features of Commutative Groups Exact Sequences of Abelian Groups Categories and Functors Natural Transformations Duality Principle Adjoint Functors Modules Rings The Functor Hom Integral Domains Semi - Simple Rings The Morita Theorem The Functors Ext and Tor List of Symbols Printed Pages: 264., CBS Publishers & Distributors Pvt. Ltd., 2014, 6, CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Direct and Free Products Abelian Groups Special Features of Commutative Groups Exact Sequences of Abelian Groups Categories and Functors Natural Transformations Duality Principle Adjoint Functors Modules Rings The Functor Hom Integral Domains Semi - Simple Rings The Morita Theorem The Functors Ext and Tor List of Symbols Printed Pages: 264. NA, CBS Publishers & Distributors Pvt. Ltd., 2014, 6, CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Direct and Free Products Abelian Groups Special Features of Commutative Groups Exact Sequences of Abelian Groups Categories and Functors Natural Transformations Duality Principle Adjoint Functors Modules Rings The Functor Hom Integral Domains Semi - Simple Rings The Morita Theorem The Functors Ext and Tor List of Symbols Printed Pages: 264. NA, CBS Publishers & Distributors Pvt. Ltd., 2014, 6, CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Direct and Free Products Abelian Groups Special Features of Commutative Groups Exact Sequences of Abelian Groups Categories and Functors Natural Transformations Duality Principle Adjoint Functors Modules Rings The Functor Hom Integral Domains Semi - Simple Rings The Morita Theorem The Functors Ext and Tor List of Symbols Printed Pages: 264., CBS Publishers & Distributors Pvt. Ltd., 2014, 6, CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Direct and Free Products Abelian Groups Special Features of Commutative Groups Exact Sequences of Abelian Groups Categories and Functors Natural Transformations Duality Principle Adjoint Functors Modules Rings The Functor Hom Integral Domains Semi - Simple Rings The Morita Theorem The Functors Ext and Tor List of Symbols Printed Pages: 264., CBS Publishers & Distributors Pvt. Ltd., 2014, 6, CBS Publishers & Distributors Pvt. Ltd., 2014. First edition. Softcover. New. Table of Contents Partial table of contents: Groups Cosets, Lagrange`s Theorem and Normal Subgroups Direct and Free Products Abelian Groups Special Features of Commutative Groups Exact Sequences of Abelian Groups Categories and Functors Natural Transformations Duality Principle Adjoint Functors Modules Rings The Functor Hom Integral Domains Semi - Simple Rings The Morita Theorem The Functors Ext and Tor List of Symbols Printed Pages: 264., CBS Publishers & Distributors Pvt. Ltd., 2014, 6, Tata McGraw-Hill Education Pvt. Ltd., 2010. 5th or later edition. Softcover. New. The new edition of Business Statistics in Practice provides a modern, practical, and unique framework for teaching the first course in business statistics. This framework features case study and example- driven discussions of all basic business statistics topics. In addition, the authors have rewritten many of the discussions in this edition and have explained concepts more simply from first principles. The only prerequisite for this text is high school algebra. Table of Contents: 1. An Introduction to Business Statistics 2. Descriptive Statistics: Tabular and Graphical Methods 3. Descriptive Statistics: Numerical Methods 4. Probability 5. Discrete Random Variables 6. Continuous Random Variables 7. Sampling Distributions 8. Confidence Intervals 9. Hypothesis Testing 10. Statistical Inferences Based on Two Samples 11. Experimental Design and Analysis of Variance 12. Chi-Square Tests 13. Simple Linear Regression Analysis 14. Multiple Regression 15. Model Buildling and Model Diagnostics 16. Time Series Forecasting 17. Process Improvement Using Control Charts 18. Nonparametric Methods 19. Decision Theory Appendix A: Statistical Tables Appendix B: Counting Rules Appendix C: Hypergeometric Distribution Appendix D: Properties of the Mean and the Varijance of a Random Variable, and the Covariance Appendix E: Derivations of the Mean and Variance of x(bar) and p(hat). On CD-ROM: Appendix F (Part I): Stratified Random Sampling Appendix F (Part II): Cluster Sampling and Ratios Estimation Apprendix G: Using Matrix Algebra to Perform Regression Calculations Appendix H: The Regression Approach to Two-Way Anallysis of Variance Appendix I: Factor Analysis, Cluster Analysis, and Multidimensional Scaling Appendix J: The Box-Jenkins Methodology Appendix K: Holt-Winters? Models Appendix L: Individual Charts and c Charts Printed Pages: 936., Tata McGraw-Hill Education Pvt. Ltd., 2010, 6<

2010, ISBN: 9780071068116

Tata McGraw-Hill Education Pvt. Ltd., 2010. 5th or later edition. Softcover. New. The new edition of Business Statistics in Practice provides a modern, practical, and unique framework f… More...

Tata McGraw-Hill Education Pvt. Ltd., 2010. 5th or later edition. Softcover. New. The new edition of Business Statistics in Practice provides a modern, practical, and unique framework for teaching the first course in business statistics. This framework features case study and example- driven discussions of all basic business statistics topics. In addition, the authors have rewritten many of the discussions in this edition and have explained concepts more simply from first principles. The only prerequisite for this text is high school algebra. Table of Contents: 1. An Introduction to Business Statistics 2. Descriptive Statistics: Tabular and Graphical Methods 3. Descriptive Statistics: Numerical Methods 4. Probability 5. Discrete Random Variables 6. Continuous Random Variables 7. Sampling Distributions 8. Confidence Intervals 9. Hypothesis Testing 10. Statistical Inferences Based on Two Samples 11. Experimental Design and Analysis of Variance 12. Chi-Square Tests 13. Simple Linear Regression Analysis 14. Multiple Regression 15. Model Buildling and Model Diagnostics 16. Time Series Forecasting 17. Process Improvement Using Control Charts 18. Nonparametric Methods 19. Decision Theory Appendix A: Statistical Tables Appendix B: Counting Rules Appendix C: Hypergeometric Distribution Appendix D: Properties of the Mean and the Varijance of a Random Variable, and the Covariance Appendix E: Derivations of the Mean and Variance of x(bar) and p(hat). On CD-ROM: Appendix F (Part I): Stratified Random Sampling Appendix F (Part II): Cluster Sampling and Ratios Estimation Apprendix G: Using Matrix Algebra to Perform Regression Calculations Appendix H: The Regression Approach to Two-Way Anallysis of Variance Appendix I: Factor Analysis, Cluster Analysis, and Multidimensional Scaling Appendix J: The Box-Jenkins Methodology Appendix K: Holt-Winters? Models Appendix L: Individual Charts and c Charts Printed Pages: 936., Tata McGraw-Hill Education Pvt. Ltd., 2010, 6<

2010, ISBN: 9780071068116

Tata McGraw-Hill Education Pvt. Ltd., 2010. 5th or later edition. Softcover. New. The new edition of Business Statistics in Practice provides a modern, practical, and unique framework f… More...

Tata McGraw-Hill Education Pvt. Ltd., 2010. 5th or later edition. Softcover. New. The new edition of Business Statistics in Practice provides a modern, practical, and unique framework for teaching the first course in business statistics. This framework features case study and example- driven discussions of all basic business statistics topics. In addition, the authors have rewritten many of the discussions in this edition and have explained concepts more simply from first principles. The only prerequisite for this text is high school algebra. Table of Contents: 1. An Introduction to Business Statistics 2. Descriptive Statistics: Tabular and Graphical Methods 3. Descriptive Statistics: Numerical Methods 4. Probability 5. Discrete Random Variables 6. Continuous Random Variables 7. Sampling Distributions 8. Confidence Intervals 9. Hypothesis Testing 10. Statistical Inferences Based on Two Samples 11. Experimental Design and Analysis of Variance 12. Chi-Square Tests 13. Simple Linear Regression Analysis 14. Multiple Regression 15. Model Buildling and Model Diagnostics 16. Time Series Forecasting 17. Process Improvement Using Control Charts 18. Nonparametric Methods 19. Decision Theory Appendix A: Statistical Tables Appendix B: Counting Rules Appendix C: Hypergeometric Distribution Appendix D: Properties of the Mean and the Varijance of a Random Variable, and the Covariance Appendix E: Derivations of the Mean and Variance of x(bar) and p(hat). On CD-ROM: Appendix F (Part I): Stratified Random Sampling Appendix F (Part II): Cluster Sampling and Ratios Estimation Apprendix G: Using Matrix Algebra to Perform Regression Calculations Appendix H: The Regression Approach to Two-Way Anallysis of Variance Appendix I: Factor Analysis, Cluster Analysis, and Multidimensional Scaling Appendix J: The Box-Jenkins Methodology Appendix K: Holt-Winters? Models Appendix L: Individual Charts and c Charts Printed Pages: 936., Tata McGraw-Hill Education Pvt. Ltd., 2010, 6<

2010, ISBN: 9780071068116

Tata McGraw-Hill Education Pvt. Ltd., 2010. 5th or later edition. Softcover. New. The new edition of Business Statistics in Practice provides a modern, practical, and unique framework f… More...

Tata McGraw-Hill Education Pvt. Ltd., 2010. 5th or later edition. Softcover. New. The new edition of Business Statistics in Practice provides a modern, practical, and unique framework for teaching the first course in business statistics. This framework features case study and example- driven discussions of all basic business statistics topics. In addition, the authors have rewritten many of the discussions in this edition and have explained concepts more simply from first principles. The only prerequisite for this text is high school algebra. Table of Contents: 1. An Introduction to Business Statistics 2. Descriptive Statistics: Tabular and Graphical Methods 3. Descriptive Statistics: Numerical Methods 4. Probability 5. Discrete Random Variables 6. Continuous Random Variables 7. Sampling Distributions 8. Confidence Intervals 9. Hypothesis Testing 10. Statistical Inferences Based on Two Samples 11. Experimental Design and Analysis of Variance 12. Chi-Square Tests 13. Simple Linear Regression Analysis 14. Multiple Regression 15. Model Buildling and Model Diagnostics 16. Time Series Forecasting 17. Process Improvement Using Control Charts 18. Nonparametric Methods 19. Decision Theory Appendix A: Statistical Tables Appendix B: Counting Rules Appendix C: Hypergeometric Distribution Appendix D: Properties of the Mean and the Varijance of a Random Variable, and the Covariance Appendix E: Derivations of the Mean and Variance of x(bar) and p(hat). On CD-ROM: Appendix F (Part I): Stratified Random Sampling Appendix F (Part II): Cluster Sampling and Ratios Estimation Apprendix G: Using Matrix Algebra to Perform Regression Calculations Appendix H: The Regression Approach to Two-Way Anallysis of Variance Appendix I: Factor Analysis, Cluster Analysis, and Multidimensional Scaling Appendix J: The Box-Jenkins Methodology Appendix K: Holt-Winters? Models Appendix L: Individual Charts and c Charts Printed Pages: 936. NA, Tata McGraw-Hill Education Pvt. Ltd., 2010, 6<