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This little book is especially concerned with those portions of ?advanced calculus? in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential. Review: Five Stars - Very good Review: Great Read . - Excellent text , and the good news is an Indian Reprint Edition is JUST out , the price is less than a fourth of the Original Edition ... The price indicated here is high because they are actually giving the price of the foreign edition here and that too with a good discount .
| Best Sellers Rank | #199,583 in Books ( See Top 100 in Books ) #160 in Calculus |
| Customer Reviews | 4.5 out of 5 stars 113 Reviews |
A**R
Five Stars
Very good
S**E
Great Read .
Excellent text , and the good news is an Indian Reprint Edition is JUST out , the price is less than a fourth of the Original Edition ... The price indicated here is high because they are actually giving the price of the foreign edition here and that too with a good discount .
S**M
Very helpful!
Excellent one .Very helpful for undergraduates.
P**R
Book is good but paper Binding is very bad .. not with for money
This is not hardcover... The quality of the book i bought from raja book store is too bad. But the contents of the book is excellent if you're familiar with writing proofs and have a mathematical maturity.
A**R
Poetry on Manifolds
Calculus on Manifolds was undoubtedly one of the more enticing, challenging and inspiring textbooks I have ever studied. This is not intended for the average student. This book IS NOT for students trying to pass their multivariate calculus course. Spivak takes you on a unique journey beginning in simple topological notions of the euclidean n-dimensional space to the fundamentals of differential manifolds and differential geometry. Between the first and the last of the one hundred and few pages are a gauntlet of challenging exercises, original out of the box proofs and clever insights, all of these seasoned with "Spivakisms" which make his textbooks stand a cut above the rest. The first 3 chapters are accessible for pretty much anyone, but the real challenge begins in chapter 4. You need to fight the book. But it is worth it. In the preface, he writes "the backgorund needed are a strong semester on calculus and linear algebra, acquaintance with notions from set theory and a certaint, perhaps latent rapport with abstract mathematics". I would add, A LOT OF PRESISTENCE. If you are struggling with chapter four onwards, I highly suggest complementing it with Munkres Analysis on Manifolds, which is much more accessible and should have been called instead "Spivak for Dummies". Enjoy, I am sure that with presistence this would be the book you would marry to if you could marry a book.
K**I
多変数の微積、ベクトル解析の名著
高名な著書でありながら、読まずにいたので、読むのが楽しみです。
A**N
Good book
Arrived in great condition
R**A
Excelente
Un libro difícil, excelente; sólo para personas con conocimientos de cálculo bastante avanzados.
A**R
... super für den Fortgeschrittenen, aber ...
Präzise in den Definitionen, kurz und ohne Schnörkel. Aber wie bei den im deutschsprachigen Raum bekannten und geschätzten Büchern von Otto Forster zur Analysis aus meiner Sicht nicht unbedingt zum Selbststudium geeignet für den Anfänger, der ein wenig mehr Anschaulichkeit und mehr Anwendungsbeispiele erwartet. Ungeschlagen ist in so fern in Bezug auf mathematische Strenge mit gleichzeitiger Anschaulichkeit nach meiner Ansicht immer noch Walter Rudin's Buch "Analysis"
Trustpilot
3 days ago
2 months ago