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Calculus by Michael Spivak
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Calculus (edition 1994)

by Michael Spivak

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465252,851 (4.53)None
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 rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.… (more)
Member:jaroslawr
Title:Calculus
Authors:Michael Spivak
Info:Publish or Perish (1994), Edition: 3, Hardcover, 670 pages
Collections:Your library
Rating:*****
Tags:math

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Calculus by Michael Spivak

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Spivak's textbook teaches elementary analysis through calculus. Though the book is technically a calculus text, the idea is for students to have a solid grasp on calculus before using it. He expertly "introduces" the concepts of calculus in ways that will intrigue even the most solid calculus student. There are typos in a few of the problems, and he uses the rather unusual technique of hiding several important theorems and ideas in the excercises, but usually one only has to read said problems to gather the theorem. I used this book in a very advanced calculus course at Ohio State. Only about 35 students a year take this course. By the end of the three course sequence there are usually only 15-20 students left. In summary, while the text is very good, it is also very difficult, so be careful when using it. ( )
1 vote GoldenBeep | Mar 2, 2008 |
Actually 3rd edition ( )
  H.Lamberson | Mar 15, 2013 |
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Author nameRoleType of authorWork?Status
Michael Spivakprimary authorall editionscalculated
Frontera Marqués, BartoloméTranslatorsecondary authorsome editionsconfirmed

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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 rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

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