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Title: Elementary Real and Complex Analysis by Georgi E. Shilov ISBN: 0-486-68922-0 Publisher: Dover Pubns Pub. Date: 07 February, 1996 Format: Paperback Volumes: 1 List Price(USD): $19.95 |
Average Customer Rating: 4.6 (5 reviews)
Rating: 3
Summary: Possibly too simple
Comment: As Shilov write in the introduction "I have tried to accomodate the interests of larger population of those concerned with mathematics" and at that he seems to do. However, the book does require some mathematical background as he appears to omit defining a few things. I believe the book would be ideal for those who want a handy reference, or an easier book when struggling with an analysis course.
However, for the more mathematically inclined readers, the problems are often too easy, and many things are proved that could be better left as exercises. For a more difficult Analysis book, I would reccomend Rudin.
Rating: 5
Summary: A wonderful text -- Highly recommended!
Comment: I purchased this book as a reference book for my first analysis course. It is very well written, and easy to follow. Dr. Shilov has a very nice way of organizing this text: He puts all the definitions at the beginning of the chapter and the subsequent sections are results of those definitions. It makes for a very quick reference. His presentation of the included proofs is also very nice. There were several occasions I found myself thumbing through it for a second perspecitve.
As far as the actual material presented, Dr. Shilov starts off with funtions of one real variable, then rather quickly generalizes to complex variables and N dimensional functions, so you'll quickly see metric theory and some topology. He does keep in mind this is intended for undergrads and first year grads though.
Oh, another nice feature is the price! I'd recommend this book to any math enthusiast as a reference, or to someone going through an early analysis course.
Rating: 5
Summary: SIMPLIFIED, ACCURATE, AND OBJECT-ORIENTED
Comment: Coherent and comprehensive, this "Elementary Real and Complex Analysis" is an emphatic introductory text, which will provide undergraduates with all the guides that they may need.
The presentation of this book is such that anybody who is taking Pure and/or Applied Mathematics course would value it. From Analysis Basics to Complex Functions, the authors of this book fulfilled every desire.
Worthy of mention is the way they simplified the rather complex Cauchy's Theorem. The same could be said of the chapters covering: Power Series Representations, Topology and Analysis in the Complex Plain, Holomorphic Functions, and Contour Integration.
Each topic that appeared in this book received accurate simplification. They are all object-oriented, and were designed to be of great use to self-learners.
Highly recommended!
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Title: Elementary Functional Analysis by Georgi E. Shilov ISBN: 0486689239 Publisher: Dover Pubns Pub. Date: 18 January, 1996 List Price(USD): $15.95 |
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Title: Introductory Real Analysis by A. N. Kolmogorov, S. V. Fomin ISBN: 0486612260 Publisher: Dover Pubns Pub. Date: 01 June, 1975 List Price(USD): $15.95 |
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Title: Linear Algebra by Georgi E. Shilov ISBN: 048663518X Publisher: Dover Pubns Pub. Date: 01 June, 1977 List Price(USD): $15.95 |
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Title: Elements of the Theory of Functions and Functional Analysis by A. N. Kolmogorov, S. V. Fomin ISBN: 0486406830 Publisher: Dover Pubns Pub. Date: 17 February, 1999 List Price(USD): $12.95 |
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Title: Introduction to Analysis by Maxwell Rosenlicht ISBN: 0486650383 Publisher: Dover Pubns Pub. Date: 01 February, 1985 List Price(USD): $11.95 |
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