For the second edition of this very successful text, Professor Binmore has written two chapters on analysis in vector spaces. The discussion extends to the notion of the derivative of a vector function as a matrix and the use of second derivatives in classifying stationary points. Some necessary concepts from linear algebra are included where appropriate. The first edition contained numerous worked examples and an ample collection of exercises for all of which solutions were provided at the end of the book. The second edition retains this feature but in addition offers a set of problems for which no solutions are given. Teachers may find this a helpful innovation.
I'm reading Walter Rudin's "Principles of Mathematical Analysis" along with this one. If I cannot follow Rudin's exposition, I refer to this book and try to get at least one version of the exposition that I can understand. Then, tackle again what Rudin has to offer. Binmore's explanation is easy to follow. On the other hand, Rudin's is a bit more abstract and has more surprisingly elegant proofs (and you have to fill in the gaps if they don't strike you as logical).
Good Deal!
Published by Thriftbooks.com User , 16 years ago
This is almost same as it was described except some black shade on the back cover. Inside the book, everything is OK. Moreover, it is a recent reprinted edition.
Ideal for self-study
Published by Thriftbooks.com User , 17 years ago
This book is ideal for self study. It has complete solutions to all the exercises in the book. A very good introduction to real analysis. Basic calculus is all that is needed to understand the book. Stirling's approximation, Gamma and Beta functions are some of the topics in the book that are not generally found in a book at this level. This is an elementary book - but rigorous, in my opinion. If you want to get started in analysis this book would be an ideal place to start. And given the current price of the book, it is a steal. There are some typos but none too serious.
Entertaining, instructive
Published by Thriftbooks.com User , 19 years ago
Brief, entertaining and quite instructive. And what's more, it gives solutions to all problems at the back. The coverage is unusual (e.g. there is a chapter on the Gamma Function, something one usually encounters in a book on complex variable theory.) but the book makes an excellent first course in analysis. There are extra unsolved exercises in the appendix which is a very useful innovation.
ThriftBooks sells millions of used books at the lowest everyday prices. We personally assess every book's quality and offer rare, out-of-print treasures. We deliver the joy of reading in recyclable packaging with free standard shipping on US orders over $15. ThriftBooks.com. Read more. Spend less.