FINITE-DIMENSIONAL LINEAR ANALYSIS: A SYSTEMATIC PRESENTATION IN PROBLEM FORM (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: I. M. Glazman

• Language: English

• Edition: 2006

• ISBN: 9780486453323

• Pages: 520

• Cover: Paperback

• Dimensions: 8.4 x 5.6 x 1.2 inches

About The Book
Linear Algebra and Functional Analysis: A Problem-Solving Approach by I. M. Glazman offers a distinctive and engaging approach to the study of linear algebra. Rather than presenting the typical formal proofs, this book presents over 2,400 propositions and problems for students to solve independently, guided only by hints and pointers. This active learning method encourages students to systematically work through the proofs, gradually advancing from basic verifications to more sophisticated strategies and techniques.

The book not only covers fundamental linear algebra concepts but also introduces insights into functional analysis, presenting it within the framework of linear analysis without the complexities of infinite dimensional spaces. As students work through the problems and concepts, they will develop an understanding of functional analysis, without the typical difficulties encountered when dealing with infinite-dimensional cases.

This problem-based approach makes the book ideal for highly motivated students, whether for independent study or as part of a cooperative seminar. It is also well-suited for use in advanced undergraduate or graduate-level courses in linear algebra or functional analysis. By allowing students to learn mathematics through doing, the book fosters a deep understanding of the subject and cultivates critical thinking and problem-solving skills.