Linear Algebra by Serge Lang
Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.-
Understanding Analysis
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Introduction to Analytic Number Theory
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Naive Set Theory
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Linear Algebra Done Right
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Real Analysis
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Rational Points on Elliptic Curves
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Mathematics and Its History
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Elementary Analysis
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A First Course in Differential Equations
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Second Year Calculus
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Applied Linear Algebra
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A First Course in Real Analysis
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Real Mathematical Analysis
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Introduction to Coding and Information Theory
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Calculus I
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Ordinary Differential Equations
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Multivariable Calculus with Applications
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Complex Analysis
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Introduction to Linear Algebra
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Groups and Symmetry
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Ideals, Varieties, and Algorithms
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Real Analysis via Sequences and Series
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Modular Functions and Dirichlet Series in Number Theory
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A Combinatorics and Graph Theory
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Elementary Probability Theory
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The Art of Proof
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An Introduction to Mathematical Cryptography
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Introduction to Partial Differential Equations
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A Concrete Introduction to Higher Algebra
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Topics in the Theory of Numbers
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The Four Pillars of Geometry
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Discrete Mathematics
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Finite-Dimensional Vector Spaces
"The present textbook is intended for a one-term course at the junior or senior levelIt begins with an exposition of the basic theory of finite-dimensional vector spaces and proceeds to explain the structure theorems for linear maps, including eigenvectors and eigenvalues, quadratic and Hermitian forms, diagonalization of symmetric, Hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. It also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. In this third edition, many parts of the book have been rewritten and reorganized, and new exercises have been added."Â (S. Lajos, Mathematical Reviews)Â
| SKU | Unavailable |
| ISBN 13 | 9780387964126 |
| ISBN 10 | 0387964126 |
| Title | Linear Algebra |
| Author | Serge Lang |
| Series | Undergraduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Springer-Verlag New York Inc. |
| Year published | 1987-01-26 |
| Number of pages | 285 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |