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A First Course in Analysis - George Pedrick
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George Pedrick:

A First Course in Analysis - hardcover

1994, ISBN: 9780387941080

The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu lum, presents special pedagogi… More...

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A First Course in Analysis
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A First Course in Analysis - new book

ISBN: 9780387941080

The first course in Analysis, which follows calculus, along with other courses, such as differential equations and elementary linear algebra, in the curricu lum, presents special pedagogi… More...

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A First Course in Analysis / George Pedrick / Buch / Undergraduate Texts in Mathematics / HC runder Rücken kaschiert / Englisch / 1994 / Springer US / EAN 9780387941080 - Pedrick, George
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Pedrick, George:
A First Course in Analysis / George Pedrick / Buch / Undergraduate Texts in Mathematics / HC runder Rücken kaschiert / Englisch / 1994 / Springer US / EAN 9780387941080 - hardcover

1994

ISBN: 9780387941080

[ED: Gebunden], [PU: Springer US], This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration an… More...

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A First Course in Analysis  George Pedrick  Buch  Undergraduate Texts in Mathematics  HC runder Rücken kaschiert  Englisch  1994  Springer US  EAN 9780387941080 - Pedrick, George
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Pedrick, George:
A First Course in Analysis George Pedrick Buch Undergraduate Texts in Mathematics HC runder Rücken kaschiert Englisch 1994 Springer US EAN 9780387941080 - hardcover

1994, ISBN: 9780387941080

[ED: Gebunden], [PU: Springer US], This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration an… More...

Shipping costs:Versandkostenfrei, Versand nach Deutschland. (EUR 0.00) preigu
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A First Course in Analysis - George Pedrick
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George Pedrick:
A First Course in Analysis - new book

2011, ISBN: 9780387941080

[ED: Buch], [PU: Springer New York], Neuware - This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, in… More...

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Details of the book
A First Course in Analysis

This text on advanced calculus discusses such topics as number systems, the extreme value problem, continuous functions, differentiation, integration and infinite series. The reader will find the focus of attention shifted from the learning and applying of computational techniques to careful reasoning from hypothesis to conclusion. The book is intended both for a terminal course and as preparation for more advanced studies in mathematics, science, engineering and computation.

Details of the book - A First Course in Analysis


EAN (ISBN-13): 9780387941080
ISBN (ISBN-10): 0387941088
Hardcover
Publishing year: 2007
Publisher: Springer-Verlag GmbH
306 Pages
Weight: 0,625 kg
Language: eng/Englisch

Book in our database since 2007-11-15T10:39:54-05:00 (New York)
Detail page last modified on 2022-07-23T09:36:23-04:00 (New York)
ISBN/EAN: 9780387941080

ISBN - alternate spelling:
0-387-94108-8, 978-0-387-94108-0
Alternate spelling and related search-keywords:
Book author: pedrick
Book title: first course mathematical analysis, undergraduate text, springer texts mathematics


Information from Publisher

Author: George Pedrick
Title: Undergraduate Texts in Mathematics; A First Course in Analysis
Publisher: Springer; Springer US
279 Pages
Publishing year: 1994-03-11
New York; NY; US
Weight: 1,350 kg
Language: English
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XXI, 279 p.

BB; Analysis; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Derivative; Fourier series; Fundamental theorem of calculus; calculus; compactness; continuous function; differential equation; improper integral; logarithm; measure; Analysis; BC; EA

Background Number Systems.- §1. Counting: The Natural Numbers.- §2. Measurement: The Rational Numbers.- The Axioms of Ordered Fields.- §3. Decimal Representation. Irrationals.- I ANALYSIS.- 1 Approximation: The Real Numbers.- §1. Least Upper Bound.- §2. Completeness. Nested Intervals.- §3. Bounded Monotonic Sequences.- §4. Cauchy Sequences.- §5. The Real Number System.- §6. Countability.- Appendix. The Fundamental Theorem of Algebra. Complex Numbers.- 2 The Extreme-Value Problem.- §1. Continuity, Compactness, and the Extreme-Value Theorem.- §2. Continuity of Rational Functions. Limits of Sequences.- Appendix. Completion of the Proof of the Fundamental Theorem of Algebra.- §3. Sequences and Series of Reals. The Number e.- §4. Sets of Reals. Limits of Functions.- 3 Continuous Functions.- §1. Implicit Functions,$$\\sqrt[n]{x}$$The Intermediate-Value Theorem.- §2. Inverse Functions. xr for r ? ?.- §3. Continuous Extension. Uniform Continuity. The Exponential and Logarithm.- §4. The Elementary Functions.- §5. Uniformity. The Heine-Borel Theorem.- §6. Uniform Convergence. A Nowhere Differentiable Continuous function.- §7. The Weierstrass Approximation Theorem.- Summary of the Main Properties of Continuous Functions.- Appendix. A Space-Filling Continuous Curve.- II FOUNDATIONS OF CALCULUS.- 4 Differentiation.- §1. Differential and Derivative. Tangent Line.- §2. The Foundations of Differentiation.- §3. Curve Sketching. The Mean-Value Theorem.- §4. Taylor’s Theorem.- §5. Functions Defined Implicitly.- 5 Integration.- §1. Definitions. Darboux Theorem.- §2. Foundations of Integral Calculus. The Fundamental Theorem of Calculus.- §3. The Nature of Integrability. Lebesgue’s Theorem.- §4. Improper Integral.- §5. Arclength. Bounded Variation.- A Word About the Stieltjes Integral and Measure Theory.- 6 Infinite Series.- §1. The Vibrating String.- §2. Convergence: General Considerations.- §3. Convergence: Series of Positive Terms.- §4. Computation with Series.- §5. Power Series.- §6. Fourier Series.

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