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Linear Algebra - Klaus Jänich
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Klaus Jänich:

Linear Algebra - hardcover

1994, ISBN: 0387941282

[EAN: 9780387941288], Neubuch, [SC: 0.0], [PU: Springer New York], ALGEBRA / LINEARE ALGEBRA; EIGENVALUE; EIGENVECTOR; MATRIX; RANK-NULLITYTHEOREM; LINEARALGEBRA, Druck auf Anfrage Neuwar… More...

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Linear Algebra (Undergraduate Texts in Mathematics) - Jänich, Klaus
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Jänich, Klaus:

Linear Algebra (Undergraduate Texts in Mathematics) - hardcover

1994, ISBN: 9780387941288

Springer, Gebundene Ausgabe, Auflage: 1994, 216 Seiten, Publiziert: 1994-09-02T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9780387941288, 0.5 kg, Verkaufsrang: 2725493, Algebra & Zahl… More...

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Linear Algebra (Undergraduate Texts in Mathematics) - Jänich, Klaus
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Jänich, Klaus:
Linear Algebra (Undergraduate Texts in Mathematics) - hardcover

1994

ISBN: 9780387941288

Springer, Gebundene Ausgabe, Auflage: 1994, 216 Seiten, Publiziert: 1994-09-02T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9780387941288, 0.5 kg, Verkaufsrang: 2725493, Algebra & Zahl… More...

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Linear Algebra (Undergraduate Texts in Mathematics) - Jänich, Klaus
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Jänich, Klaus:
Linear Algebra (Undergraduate Texts in Mathematics) - hardcover

1994, ISBN: 9780387941288

Springer, Gebundene Ausgabe, Auflage: 1994, 216 Seiten, Publiziert: 1994-09-02T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9780387941288, 0.5 kg, Verkaufsrang: 2725493, Algebra & Zahl… More...

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Jänich, Klaus:
Linear Algebra (Undergraduate Texts in Mathematics) - hardcover

1994, ISBN: 9780387941288

hardcover, Gebraucht, guter Zustand, Size: 98x8x147; Good condition. No marking/highlighting. Cover and pages may show some wear. Not Satisfied? Contact us to get a refund., [PU: Springer]

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Linear Algebra (Undergraduate Texts in Mathematics)
Author:
Title:
ISBN:

9780387941288


This book covers the material of an introductory course in linear algebra. Topics include sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. It contains multiple choice tests with commented answers.

Details of the book - Linear Algebra (Undergraduate Texts in Mathematics)


EAN (ISBN-13): 9780387941288
ISBN (ISBN-10): 0387941282
Hardcover
Paperback
Publishing year: 1994
Publisher: Springer
204 Pages
Weight: 0,497 kg
Language: eng/Englisch

Book in our database since 2007-03-03T19:40:50-05:00 (New York)
Detail page last modified on 2024-04-19T07:42:08-04:00 (New York)
ISBN/EAN: 9780387941288

ISBN - alternate spelling:
0-387-94128-2, 978-0-387-94128-8
Alternate spelling and related search-keywords:
Book author: jänich, jnich, janich, klaus, jaenich
Book title: undergraduate algebra, differenzierbare, linear algebra done right

Information from Publisher

Author: Klaus Jänich
Title: Undergraduate Texts in Mathematics; Linear Algebra
Publisher: Springer; Springer US
206 Pages
Publishing year: 1994-09-02
New York; NY; US
Language: English
55,59 € (DE)
57,15 € (AT)
80,66 CHF (CH)
Available
X, 206 p.

BB; Hardcover, Softcover / Mathematik/Arithmetik, Algebra; Algebra; Verstehen; Eigenvalue; Eigenvector; Matrix; Rank–nullity theorem; algebra; linear algebra; Algebra; EA; BC

1. Sets and Maps.- 1.1 Sets.- 1.2 Maps.- 1.3 Test.- 1.4 Remarks on the Literature.- 1.5 Exercises.- 2. Vector Spaces.- 2.1 Real Vector Spaces.- 2.2 Complex Numbers and Complex Vector Spaces.- 2.3 Vector Subspaces.- 2.4 Test.- 2.5 Fields.- 2.6 What Are Vectors?.- 2.7 Complex Numbers 400 Years Ago.- 2.8 Remarks on the Literature.- 2.9 Exercises.- 3. Dimension.- 3.1 Linear Independence.- 3.2 The Concept of Dimension.- 3.3 Test.- 3.4 Proof of the Basis Extension Theorem and the Exchange Lemma.- 3.5 The Vector Product.- 3.6 The “Steinitz Exchange Theorem”.- 3.7 Exercises.- 4. Linear Maps.- 4.1 Linear Maps.- 4.2 Matrices.- 4.3 Test.- 4.4 Quotient Spaces.- 4.5 Rotations and Reflections in the Plane.- 4.6 Historical Aside.- 4.7 Exercises.- 5. Matrix Calculus.- 5.1 Multiplication.- 5.2 The Rank of a Matrix.- 5.3 Elementary Transformations.- 5.4 Test.- 5.5 How Does One Invert a Matrix?.- 5.6 Rotations and Reflections (continued).- 5.7 Historical Aside.- 5.8 Exercises.- 6. Determinants.- 6.1 Determinants.- 6.2 Determination of Determinants.- 6.3 The Determinant of the Transposed Matrix.- 6.4 Determinantal Formula for the Inverse Matrix.- 6.5 Determinants and Matrix Products.- 6.6 Test.- 6.7 Determinant of an Endomorphism.- 6.8 The Leibniz Formula.- 6.9 Historical Aside.- 6.10 Exercises.- 7. Systems of Linear Equations.- 7.1 Systems of Linear Equations.- 7.2 Cramer’s Rule.- 7.3 Gaussian Elimination.- 7.4 Test.- 7.5 More on Systems of Linear Equations.- 7.6 Captured on Camera!.- 7.7 Historical Aside.- 7.8 Remarks on the Literature.- 7.9 Exercises.- 8. Euclidean Vector Spaces.- 8.1 Inner Products.- 8.2 Orthogonal Vectors.- 8.3 Orthogonal Maps.- 8.4 Groups.- 8.5 Test.- 8.6 Remarks on the Literature.- 8.7 Exercises.- 9. Eigenvalues.- 9.1 Eigenvalues and Eigenvectors.- 9.2 TheCharacteristic Polynomial.- 9.3 Test.- 9.4 Polynomials.- 9.5 Exercises.- 10. The Principal Axes Transformation.- 10.1 Self-Adjoint Endomorphisms.- 10.2 Symmetric Matrices.- 10.3 The Principal Axes Transformation for Self-Adjoint Endomorphisms.- 10.4 Test.- 10.5 Exercises.- 11. Classification of Matrices.- 11.1 What Is Meant by “Classification”?.- 11.2 The Rank Theorem.- 11.3 The Jordan Normal Form.- 11.4 More on the Principal Axes Transformation.- 11.5 The Sylvester Inertia Theorem.- 11.6 Test.- 11.7 Exercises.- 12. Answers to the Tests.- References.

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