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Mathematics: Its Content, Methods and Meaning (Dover Books on Mathematics) Paperback – July 7, 1999
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About the Author
The Russian Equation
Representative of the tremendous impact which Russian mathematicians have had on the Dover list since the Sputnik era is this outstanding book edited by A. D. Aleksandrov and others.
Critical Acclaim for Mathematics: Its Content, Methods and Meaning:
"In effect, these volumes present a do-it-yourself course for the person who would like to know what the chief fields of modern mathematics are all about but who does not aspire to be a professional mathematician or a professional user of mathematics. The coverage is extremely wide, including such important areas as linear algebra, group theory, functional analysis, ordinary and partial differential equations, the theory of functions of real and complex variables, and related subjects. . . . What makes these volumes so readable as compared with usual mathematics textbooks is the emphasis here upon basic concepts and results rather than upon the intricate and wearying proofs that make such demands in conventional textbooks and courses. There are proofs in these volumes, but usually they are presented only for the most important results, and even then to emphasize key areas and to illustrate the kind of methodology employed. . . . It is hard to imagine that any intelligent American with a curious mind and some good recollection of his high school and college mathematics would not find many entrancing discoveries in the intellectual gold mine that is this work." — The New York Times Book Review
"An excellent reference set for bright high school students and beginning college students . . . also of value to their teachers for lucid discussions and many good elementary examples in both familiar and unfamiliar branches. The intelligentsia of laymen who care to tackle more than today's popular magazine articles on mathematics will find many rewarding introductions to subjects of current interest." — The Mathematics Teacher
"Whether a physicist wishes to know what a Lie algebra is or how it is related to a Lie group, or an undergraduate would like to begin the study of homology, or a crystallographer is interested in Fedorov groups, or an engineer in probability, or any scientist in computing machines, he will find here a connected, lucid account." — Science
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Top Customer Reviews
(1) Popular math and science has become quite popular lately. I'm sure that there are many pop-math/pop-sci readers who would like a more 'meatier' treatment of math that still has an accessible style. If you're in that group, then this book is for you.
It basically requires recollection of high school algebra and a willingness to wade through and learn some challenging material. I should add that the book looks intimidating in size but this is mostly due to the fact that Dover has bound 3 volumes as 1 (which is actually a great deal for readers).
(2) I can't think of too may books that can, with effort, take a novice through the bulk of a college/university level math curriculum.
(3) This book contains material by 2 of the greatest mathematicians/scientists of all time: Andrei Kolmogorov (famous for his work on probability and information theory as well as Kolmogorov Complexity/Algorithmic Information Theory) and I. M. Gelfand (for his work on mathematical physics). The book is worth buying for that reason alone.
This 1999 paperback edition has all three volumes in one binding. The paper is thinner so the book is less bulky. Page number resets at the beginning of volume 2 and 3. (not renumbered.) Thus the book content is not altered from the 2nd edition (three volumes set) from MIT Press in 1969.
One major change is that there is one index at the end of the book which covers all three volumes. The volume is indicated together with the page number. This improves the convenience.
This is a superb series of essays on major areas of math, by leading Russian mathematicians. They provide a splendid but SERIOUS introduction to each area. It is 50 years old but all this stuff is still central to any math related degree.
The book does a great job providing "motivation" and connecting the areas of math together. I wish I had had it when I did my degrees.
Suitable for those in math, physics, engineering. If you want a less ambitious, popular account of math then look for Ian Stewart's Concepts of Modern Mathematics, also from Dover.
Anf again, be careful about what you order.
Most Recent Customer Reviews
It is a very fine book explaining the state of the art of mathematics from its beginnings up to the 1950's, written by top soviet mathematicians, with some emphasis on the... Read morePublished 8 days ago by moritz benado
Cheap and comprehensive. I bought this book because I was getting interested in math and wanted something exciting to read through and that wasn't pop-sciency crap. Read morePublished 4 months ago by Monty Thibault
Exactly as advertised in previous comments. A good 'Feynman' equivalent of math. Easy to follow, clear concise language. 4 stars because there are no practice problems in the book. Read morePublished 7 months ago by Andrei Serg
It's like a guided tour of a Soviet mathematics museum.
Excellent reading for anyone interested in mathematics.
Not many problems to crunch. Read more
The content is good. However, it is too heavy. When reading it, my arm is painful.Published 11 months ago by Arondes
I think this should be a must have for anyone interested in mathematics. Even for self learning.
There's everything in it, ranging from history of mathematics, mathematical... Read more