algebra analysis functional elementary

books:

Elementary Real and Complex Analysis (Dover Books on Mathematics)

8 reviews
Georgi E. Shilov

Dover Publications, 1996

Getting started in math analysis
This book by Shilov covers the fundamentals in beginning analysis(both real and complex). It has in common with Walter Rudin's book (entitled 'Real and Complex Analysis') that it covers both real functions (integration theory and more), as well as Cauchy's theorems for analytic functions. Shilov's book is at an undergraduate level, and it can easily be used for self-study. The Dover edition is ...

Linear Algebra

13 reviews
Georgi E. Shilov

Dover Publications, 1977

Outstanding Book
I find it ironic that my two favourite Linear Algebra texts are this book and the Axler, for they are exact opposites: Axler shuns determinants, and Shilov starts with them and builds much of his theory off them. However, there is no book I have found that has such a deep and clear exposition of determinants. The first chapter alone makes this book worth buying. However, there's an ...

Elementary Functional Analysis / Volume 2

4 reviews
Georgi E. Shilov

MIT Press, 1974

another great book from Shilov
This is volume 2 of Shilov's Moscow University course on Mathematical Analysis. If you have read Shilov's first volume ("Elementary Real and Complex Analysis") or his volume on Linear Algebra, then you can expect more of the same clear explanation and thoughtful organization of materials. His proofs are designed to help the reader understand material and provide deep insight into the ...