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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.
Book Description
Spivak's celebrated Calculus combines 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. Ideal for honours students and mathematics majors seeking an alternative to doorstop textbooks and more formidable introductions to real analysis.
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Front Cover | Copyright | Table of Contents | Excerpt | Index
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46 of 48 people found the following review helpful
Format:Hardcover
Mathematics is not an easy subject. Some people say it is, but they are wrong. Even the best mathematicians eventually encounter problems which test their ability to the full. When learning advanced topics it is not uncommon to spend hours trying to solve a problem or understand an exposition, and often one needs to talk it over with a teacher or colleague. If you only have a book to consult, you need a very good one, and this is such a book. It is carefully constructed, the subject is developed logically, it has many examples, varying from the straightforward to the demanding, and it is written by someone with a huge enthusiasm, even a passion for the subject.
It is, of course, not an easy book. It took some of the brightest people in the world about two and a half thousand years to develop the calculus, and we have only had it for less than five hundred. If you read this book, you will be on the way to understanding what mathematics is all about. Do not try to do all the examples, but make sure you can do a fair sample.
It is, of course, not an easy book. It took some of the brightest people in the world about two and a half thousand years to develop the calculus, and we have only had it for less than five hundred. If you read this book, you will be on the way to understanding what mathematics is all about. Do not try to do all the examples, but make sure you can do a fair sample.
3 of 3 people found the following review helpful
Format:Hardcover
Yes it is the best calculus book but only if you want to really start understanding maths. You will learn more from the problems. There is no waste in this book. In my opinion it provides the most solid foundation to analysis. Students of maths will really value it; as it is said in the preface:
"Every aspect of this book was influenced by the desire to present calculus not merely as a prelude to but as the first real encounter with mathematics."
"Every aspect of this book was influenced by the desire to present calculus not merely as a prelude to but as the first real encounter with mathematics."
9 of 10 people found the following review helpful
Format:Paperback
Back in the mid-1970s Spivak's Calculus was one of two set books for the Open Unversity's course on (Real) Analysis. The bonus was that the other set book was the Supplement which worked through the exercises from the main book! So, the two books need to be bought together. They are both essential, with Calculus being one of the best undergraduate texts on the subject.
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