Description
Book Synopsis: In this volume in his exceptional series of translations of Russian mathematical texts, Richard Silverman has taken Shilov's course in linear algebra and has made it even more accessible and more useful for English language readers.
Georgi E. Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.
The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.
Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.
Details
Looking to master the fundamentals of linear algebra? Look no further! Introducing the Linear Algebra textbook from Dover Books on Mathematics. Translated and made accessible by Richard Silverman, this exceptional volume takes Shilov's course and enhances it for English language readers. Whether you're an advanced undergraduate or a beginning graduate student, this comprehensive guide covers all the standard topics you need to know, making it perfect for self-study or classroom use.
With clear explanations and a user-friendly style, Professor Shilov brings algebra, geometry, and analysis together in a unified approach. Starting with the basics and moving into advanced areas, the book covers determinants, linear spaces, systems of linear equations, coordinate transformations, quadratic forms, and much more! Each chapter is supplemented with a plethora of problems and examples, allowing you to practice your skills and reinforce your understanding.
Designed with the student in mind, this textbook also includes a full section of hints and answers in the back, providing valuable support as you navigate through the material. Whether you're struggling to grasp linear algebra concepts or looking to expand your knowledge, this book is the perfect companion.
Don't miss out on the opportunity to excel in linear algebra. Get your copy of the Linear Algebra textbook from Dover Books on Mathematics today!
Click here to order now and unlock the secrets of linear algebra!
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