Linear Algebra - Hardcover

Jin Ho Kwak

Hardcover

ISBN 10: 0817639993 ISBN 13: 9780817639990

Publisher: Birkhäuser Boston, 1997

Synopsis

Linear algebra continues to be one of the most useful courses in undergraduate mathematics, science and engineering, and one of the essential tools for industrial scientists. The primary aim of this book is to give a clear and rigorous presentation of the basic concepts of linear algebra as a coherent part of mathematics. At the same time, by emphasizing computational skills along with mathematical abstractions, the authors illustrate linear algebra's power and usefulness in its applications to such other disciplines as physics, computer science, and economics. The book contains many important examples, explanations and problems right in the middle of the text. The thoroughness, rigor and challenge of the presentation make this text a strong mathematical first course for well prepared and motivated students or an excellent second course in the theory and applications of linear algebra.

About this title

From the Back Cover

"A logical development of the subject...all the important theorems and results are discussed in terms of simple worked examples. The student's understanding...is tested by problems at the end of each subsection, and every chapter ends with exercises."

--- "Current Science" (Review of the First Edition)

A cornerstone of undergraduate mathematics, science, and engineering, this clear and rigorous presentation of the fundamentals of linear algebra is unique in its emphasis and integration of computational skills and mathematical abstractions. The power and utility of this beautiful subject is demonstrated, in particular, in its focus on linear recurrence, difference and differential equations that affect applications in physics, computer science, and economics.

Key topics and features include:

* Linear equations, matrices, determinants, vector spaces, complex vector spaces, inner products, Jordan canonical forms, and quadratic forms

* Rich selection of examples and explanations, as well as a wide range of exercises at the end of every section

* Selected answers and hints

This second edition includes substantial revisions, new material on minimal polynomials and diagonalization, as well as a variety of new applications. The text will serve theoretical and applied courses and is ideal for self-study. With its important approach to linear algebra as a coherent part of mathematics and as a vital component of the natural and social sciences, "Linear Algebra, Second Edition" will challenge and benefit a broad audience.

Review

This is a clean and elegant presentation for a thorough first course in Linear Algebra from the view of pure mathematics. The text is rich in examples and explanations, as well as numerous exercises. Proofs of almost all results are given. There are a number of concrete applications which will make the text useful for students from other disciplines such as economics, engineering, physics, and computer science.

Major Topics Include: Linear Equations and Matrices.- Determinants.- Vector Spaces.- Linear Transformations.- Inner Product Spaces.- Eigenvectors and Eigenvalues.- Complex Vector Spaces.- Canonical Forms.- Quadratic Forms.- Index -- Book Descripiton

Edition details

• Publisher: Birkhäuser Boston
• Publication date: 1997
• Language: English
• ISBN 10: 0817639993
• ISBN 13: 9780817639990
• Binding: Hardcover
• Edition number: 1
• Number of pages: 370