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      Vanishing Games

      Roger Hobbs 9780385352642

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25 Remote Warehouse Mathematics- Linear Algebra

This title in other editions

Linear Algebra: An Introductory Approach (Undergraduate Texts in Mathematics)

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Linear Algebra: An Introductory Approach (Undergraduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This book is a revised and up-dated fourth edition of a textbook designed for upper division courses in linear algebra. It includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. While it does not presuppose an earlier course, many connections between linear algebra and calculus are worked into the discussion, making it best suited for students who have completed the calculus sequence. A special feature of the book is the inclusion of sections devoted to applications of linear algebra, which can either be part of a course, or used for independent study. The topics covered in these sections are the geometric interpretation of systems of linear equations, the classification of finite symmetry groups in two and three dimensions, the exponential of a matrix and its application to solving systems of first order linear differential equations with constant coefficients, and Hurwitz's theorem on the composition of quadratic forms. This revised fourth edition contains a new section on analytic methods in matrix theory, with applications to Markov chains in probability theory. Proofs of all the main theorems are included, and are presented on an equal footing with methods for solving numerical problems. Worked examples are included in almost every section, to bring out the meaning of the theorems, and to illustrate techniques for solving problems. Many numerical exercises are included, which use all the ideas, and develop computational skills. There are also exercises of a theoretical nature, which provide opportunities for students to discover interesting things for themselves.

Synopsis:

This revised and updated fourth edition designed for upper division courses in linear algebra includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. While it does not presuppose an earlier course, many connections between linear algebra and calculus are worked into the discussion. A special feature is the inclusion of sections devoted to applications of linear algebra, which can either be part of a course, or used for independent study, and new to this edition is a section on analytic methods in matrix theory, with applications to Markov chains in probability theory. Proofs of all the main theorems are included, and are presented on an equal footing with methods for solving numerical problems. Worked examples are integrated into almost every section, to bring out the meaning of the theorems, and illustrate techniques for solving problems. Many numerical exercises make use of all the ideas, and develop computational skills, while exercises of a theoretical nature provide opportunities for students to discover for themselves.

Table of Contents

Preface. 1: Introduction to Linear Algebra. 2: Vector Spaces and Systems of Linear Equations. 3: Linear Transformation and Matrices. 4: Vector Spaces with an Inner Product. 5: Determinants. 6: Polynomials and Complex Numbers. 7: The Theory of a Single Linear Transformation. 8: Dual Vector Spaces and Multilinear Algebra. 9: Orthogonal and Unitary Transformations. 10: Some Applications of Linear Algebra. Bibliography. Solutions of Selected Exercises. Symbols (Including Greek Letters). Index.

Product Details

ISBN:
9781461270195
Author:
Curtis, Charles W.
Publisher:
Springer
Location:
New York, NY
Subject:
Mathematics-Linear Algebra
Subject:
Algebra - Linear
Subject:
Algebra
Subject:
Lineare Algebra
Subject:
Linear and Multilinear Algebras, Matrix Theory
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
matrix theory
Copyright:
Edition Description:
Softcover reprint of the original 4th ed. 1984
Series:
Undergraduate Texts in Mathematics
Publication Date:
20121031
Binding:
TRADE PAPER
Language:
English
Pages:
360
Dimensions:
235 x 155 mm

Related Subjects


Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General

Linear Algebra: An Introductory Approach (Undergraduate Texts in Mathematics) New Trade Paper
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$77.50 In Stock
Product details 360 pages Springer - English 9781461270195 Reviews:
"Synopsis" by , This revised and updated fourth edition designed for upper division courses in linear algebra includes the basic results on vector spaces over fields, determinants, the theory of a single linear transformation, and inner product spaces. While it does not presuppose an earlier course, many connections between linear algebra and calculus are worked into the discussion. A special feature is the inclusion of sections devoted to applications of linear algebra, which can either be part of a course, or used for independent study, and new to this edition is a section on analytic methods in matrix theory, with applications to Markov chains in probability theory. Proofs of all the main theorems are included, and are presented on an equal footing with methods for solving numerical problems. Worked examples are integrated into almost every section, to bring out the meaning of the theorems, and illustrate techniques for solving problems. Many numerical exercises make use of all the ideas, and develop computational skills, while exercises of a theoretical nature provide opportunities for students to discover for themselves.
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