Linear Algebra (Dover Books on Mathematics)

Book Details

• Publisher: Dover Publications

• Author: Georgi E. Shilov

• Language: English

• Edition: Dover Books on Mathematics

• ISBN: 9780486635187

• Pages: 400

• Cover: Paperback

• Dimensions: 8.5 x 5.4 x 0.9 inches

About The Book

Linear Algebra by Georgi E. Shilov, translated by Richard Silverman, offers a comprehensive and accessible introduction to the foundational concepts of linear algebra. Designed for students and self-learners alike, this text covers a wide array of topics, from elementary principles like determinants and systems of linear equations to more advanced areas such as quadratic forms, Euclidean and unitary spaces, and finite-dimensional spaces.

Shilov’s clear and concise explanations, complemented by numerous examples and problems, make this book an excellent choice for both classroom use and self-study. The inclusion of hints and answers for the exercises ensures that readers can independently test their understanding and build their problem-solving skills.

This book’s integrated approach, blending algebra, geometry, and analysis, provides a holistic view of linear algebra, making it suitable for undergraduate and graduate students. Its practical insights into real-world applications of linear algebra concepts further enhance its value. With a dedicated appendix on categories of finite-dimensional spaces, this book broadens the reader’s perspective, making it a valuable resource for anyone pursuing an in-depth study of mathematics.

Whether you are just starting out in linear algebra or looking to deepen your understanding, Shilov’s Linear Algebra offers the ideal balance of theory, practical examples, and problem-solving opportunities.