I feel that this textbook is used far less widely than it should be. Addisonwesley, revised edition, 1968, a concise 146 pp. Textbook calculus online textbook mit opencourseware. Best calculus book for physics physics stack exchange. Calculus by michael spivak booksamillion online book store. The choice of book should also reflect your future interests. Spivaks book should be a help to those who wish to see stokes theorem as the modern working mathematician sees it. Spivaks book is great but its usually used as a second look at calculus for people transitioning into universitylevel mathematics. Spivak s analogous book, calculus on manifolds, is known as an extremely difficult text, and is commonly used as an introduction to differential geometry indeed, his comprehensive volumes on differential geometry mention calculus on manifolds as a prerequisite. Only the new 0914098911 will be available, starting july16. Because of this, the book is certain to be useful to mathematics studentsthose approaching calculus for the first time, or those who wish to gain deeper.
Spivaks analogous book, calculus on manifolds, is known as an extremely difficult text, and is commonly used as an introduction to differential geometry indeed, his comprehensive volumes on differential geometry mention calculus on manifolds as a prerequisite. Id recommend courants 2volume differential and integral calculus. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. Another of his wellknown textbooks is calculus on manifolds w. A modern approach to classical theorems of advanced calculus 1965 by michael spivak is a brief, rigorous, and modern textbook of multivariable calculus, differential forms, and integration on manifolds for advanced undergraduates. Whether youve loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.
I have a basic understanding of calculus but want to learn in depth more physics and for this i r. I think all the modern english language calc books are not that great, and that includes apostols and spivaks dont get me started on spivak. Calculus by michael spivak meet your next favorite book. There is also an online instructors manual and a student study guide. Spivak is a calculus book suitable for readers with no knowlage of calculus. His book calculus takes a very rigorous and theoretical approach to michael david spivak is a mathematician specializing in differential geometry, an expositor of mathematics, and the founder of publishorperish press. The open nature of the book, and spivaks encapsulating way of writing has really sold this book to me, and i beginningundergraduate students. Pdf calculus by james stewart book pdf free download.
Other readers will always be interested in your opinion of the books youve read. Spivaks book has a lot of instructive and interesting exercises. Published in 1991 by wellesleycambridge press, the book is a useful resource for educators and selflearners alike. Thats not to say you cant try using it as a first encounter with calculus, but if you find yourself struggling to understand whats going on, put it aside and find another book. Facebook is showing information to help you better understand the purpose of a page. Calculus on manifolds solution of exercise problems yan zeng version 1. Buy a cheap copy of calculus book by michael spivak. For me this is one of the greatest books in calculus.
Calculus on manifolds solution of exercise problems. The most famous calculus book in existence calculus by michael spivak link to book on amazon is. Michael spivak has 19 books on goodreads with 5052 ratings. As a college freshman with three semesters of calculus under my belt, i found this book to be informative and engaging, even though it started back at square one. His aim is to present calculus as the first real encounter with mathematics.
The problem with books like thomas calculus or stewart calculus is that you wont get a thorough understanding of the inner mechanics of calculus. Buy answer book to calculus by michael spivak online at alibris. It opened new doors for me as an undergraduate, and started getting me to. Rudins multivariable calculus section is abysmal although, the sections on series and metric space topology stuff in the rudin book is a what makes his book nice. Analysis and rigorous calculus are not interchangeable. As long as you dont have a good prof or teacher, i would stay away from these books. Rather, the development of the calculus here proceeds from mathematical considerations. Calculus edition 4 by michael spivak 9780914098911. Spivak acknowledges in the preface that others might consider this textbook to be an introduction to mathematical analysis rather than a calculus book.
Spivak s book should be a help to those who wish to see stokes theorem as the modern working mathematician sees it. In summary, calculus on manifolds is a book of historical interest and reading it is part of becoming immersed in the culture of mathematics. This book is not for students trying to pass their multivariate calculus course. Princeton, new jersey waltham, massachusetts august 1965 robert gunning hugo rossi. Calculus edition 3 by michael spivak 9780521867443. With calculus, eighth edition, stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. Are spivak and apostol calculus book good even from a physics point of view for learning calculus. Spivaks celebrated calculus combines leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easygoing approach that enlightens difficult concepts and rewards effort. Spivak takes you on a unique journey beginning in simple topological notions of the euclidean ndimensional space to the fundamentals of differential manifolds and differential geometry. But spivaks account of what calculus is all about, his careful but precise account of the theoretical underpinnings of the material, his chapter on the hard theorems the ones that require an understanding of the completeness of the reals, his. Book titles are not a reliable indicator of content. Where can i find an online copy of the book calculus, 4th. One does not need to learn wrong calculus ala stewart to learn correct calculus later, in fact it is better not to.
Spivak s book has a lot of instructive and interesting exercises. For beginning calculus, i think spivak is even better than rudin. Calculus spivaks celebrated textbook is widely held as one of the finest introductions to mathematical analysis. Abstract this is a solution manual of selected exercise problems from calculus on manifolds. Furthermore, the ideas that appear in calculus on manifolds form the nucleus of the modern mathematicians conception of differentiable manifolds. This is out of print you should stop telling people that you will send copies when available. Discover book depositorys huge selection of michael spivak books online. A student with a good course in calculus and linear algebra behind him should find this book quite accessible. A copy that has been read, but remains in clean condition. Spivak does not, although he does point out the applications.
A modern approach to classical theorems of advanced calculus, by michael spivak. Calculus, 4th edition by michael spivak and a great selection of related books, art and collectibles available now at. Pages can include limited notes and highlighting, and the copy can include previous owner inscriptions. He is the author of the fivevolume comprehensive introduction to.
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