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# Calculus

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Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rot

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Hardcover, Third Edition, 670 pages

Published
January 1st 1994
by Publish or Perish
(first published 1967)

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**the**Calculus book. Yes, it really does start you off with (a + b) + c = a + (b + c), and then takes you through a nice variety of topics on a breathtaking journey through epsilon-delta proofs, axiomatic deductions and then inductions, the irrationality of pi, the transcendental nature of e, all sorts of sequences and series, and of course--the main 'body' of calculus that is the practice of integration and differentiation. It hol ...more

Has a lot of explainig clear graphics,give examples of bizarre functions for clearing concepts,give a original introduction to complex variable by convergent complex power series,makes a formal costruction of ...more

1) If you are thinking of reading this book because you are attracted to its "pure" approach, learn some logic. Seriously, just get your head around what deductions are and what the principle of mathematical induction is. I recommend a Fitch-style natural deductive system. Spivak will teach you about calculus but if you don't have the prerequisite logic, you won't really ...more

I was extremely lucky to spot ...more

Very well written, well motivated introduction to analysis, with good problems. I also absolutely love the little annotated bibliography near the end, which you can find here :

https://pctex.org/mathpop/wp-content/... ...more

Calculus was the very first textbook I read for my university degree. As well as being a fine description of the basics of analysis (mostly real, with a toe in the deep water of complex functions), it is an excelent book to ease the transition from mathematics as taught at school level to the rigours of university mathematics.

Unlike many writers of textbooks in mathematics, Spivak makes a big effort to give more than a dry exposition: theorem - proof - ...more

This is the best math book I've ever read
...more

Nov 10, 2018
George Menegakis
rated it
it was amazing
·
review of another edition

Shelves:
mathematics,
science

By far the best introduction to calculus and real analysis

can't go wrong with Spivak
...more

Dec 18, 2020
Aryan Kumar Prasad
rated it
it was amazing
·
review of another edition

Shelves:
acadmic

If a textbook have a simple name, its going to be tough and rewarding.

One day I will return to Spivak's Calculus to complete all the exercises; the suggested reading offers some reassurance that readers who have got as far as completing all the exercises probably know a lot more about advanced mathematics (e.g. functional analysis) than is covered by this book. The reason for this is suggested by the final item of t ...more

Mar 07, 2013
K. P.
rated it
it was amazing

Recommends it for:
First-year or prospective mathematics majors

Recommended to K. P. by:
Arunas Liulevicius

Simply the best of its kind. Single variable differential and integral calculus, presented with rigor and style.

Many calculus texts motivate the study of the material with physics problems. Spivak does not, although he does point out the applications. Rather, the development of the calculus here proceeds from mathematical considerations. Because of this, the book is certain to be useful to mathematics students--those approaching calculus for the first time, or those who wish to gain deeper insig ...more

Many calculus texts motivate the study of the material with physics problems. Spivak does not, although he does point out the applications. Rather, the development of the calculus here proceeds from mathematical considerations. Because of this, the book is certain to be useful to mathematics students--those approaching calculus for the first time, or those who wish to gain deeper insig ...more

This is really a beautiful book and it's clear that a lot of love went into every page.
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Michael David Spivak is a mathematician specializing in differential geometry, an expositor of mathematics, and the founder of Publish-or-Perish Press. He is the author of the five-volume Comprehensive Introduction to Differential Geometry. He received a Ph.D. from Princeton University under the supervision of John Milnor in 1964.

His book Calculus takes a very rigorous and theoretical approach to ...more

His book Calculus takes a very rigorous and theoretical approach to ...more

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