Results 1 – 10 of 10 Calculus: Cálculo Infinitesimal. Tomo II by Michael Spivak and a great selection of related books, art and collectibles available now at. Download Citation on ResearchGate | Suplemento de cálculo infinitesimal / Michael Spivak | Traducción de: Supplement to calculus }. Michael Spivak – Cálculo Infinitesimal – Ebook download as PDF File .pdf) or read book online.

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Mar 05, Ayush Bhat rated it it was amazing.

Simply the best of its kind. This review first appeared on my blog here. This is a very good introduction to calculus and higher mathematics. The name field is required. Search WorldCat Find items calxulo libraries near you. One of the most beautiful books on calculus I have ever read. It is conversational, yet sufficiently rigorous; it is formidable in scope yet it travels in steps. Of especial use to the budding mathematician are the points where Spivak discusses potential proof strategies for the theorems, often explaining the pitfalls that student taking a naive approach could fall into.

Much of this material dalculo usually not encountered until likely more advanced courses in real analysis. Jul 07, Ilya Zarembsky rated infinitesimsl it was amazing. HardcoverThird Editionpages. Considerable attention is paid to motivating the discussion, showing why each result sipvak important though mainly in the pure mathematics context, applications of calculus being mainly found in the problems at the end of each chapter.

Calculus was the very first textbook I read for my university degree.

But seriously–if you’re looking for practical application or pragmatic knowledge then this book isn’t exactly for you. For students with an interest in how analysis can be used in apparently unrelated parts of mateematics, a number of advanced sections give proofs of such topics as the transcendence of the number e, and a construction of the real numbers from set theoretic principles. Not to mention the generous margins for scribbling a homage to Diophantus and Fermat perhaps practically beg the reader to try his hand in proving the theorems and exercises stated in it.


The proofs and exercises are the most elegant that I have seen in any calculus text, as is Spivak’s hallmark. It seems to have become almost unfashionable, an unnecessary expenditure of effort.

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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 Publish-or-Perish Press. Aug 07, Alex rated it it was amazing. Sep 20, Gavin Rebeiro rated it liked it Shelves: Would you also like to submit a review for this item?

Seriously, just get your head around what deductions are and what the principle of mathematical induction is.

If you like–or think ifinitesimal might like–the mathematician’s ever-refining pursuit for rigour, for watertight argument, for abstract thought–then infinitesimak love this book. Has a lot of explainig clear graphics,give examples of bizarre functions for clearing spvak a original introduction to complex variable by convergent complex power series,makes a formal costruction of For me the best introduction to calculus in one variable, yet absolutely rigurous it is more focussed in explain fundamental concepts in deep that in long full of calculations demostrations;also has some touchs of subtle humour ,some infinitesiimal in a textbook and a lot of remarkable exercises.

Cálculo infinitesimal (Book, ) []

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 the real numbers field, and make at this level unusual excursions nifinitesimal more advanced results as the demostration of the irracionality of pi or the demostration of the trancendence of e.


A solid text and reference on the topic. Rather, the development of the calculus here proceeds from mathematical considerations. It is well structured, clear and precises, it made me love the subject because for the first time I saw it presented for the logical wonder it is, and as an assortment of formulas to be used.

Calculus – Calculo Infinitesimal 2b : Edicion

Spivak does not, although he does point out the applications. 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.

Your list has reached the maximum number of items. Supplement Spivak’s book with some applied problems. It was my first real no pun intended introduction to Calculus, and oh was it worth it.

It is used in calculus courses, particularly those with a pure mathematics emphasis, at many universities. He received a Ph. There is a modern framework for infinitesimals called non-standard analysis. Many say it is second or third year level. Please enter recipient e-mail address es.

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Michael David Spivak – Wikipedia, la enciclopedia libre

Spivak will teach you about calculus but if you don’t have the prerequisite logic, you won’t really understand what’s going on. The epsilon-delta approach to analysis is what you will find in this book. It is how the calculus was developed and is a great tool for intuitively understanding lots of problems.

The best mathematics book I have read.

Spivak, Michael. Calculus. Cálculo Infinitesimal. Segunda edición

Books by Michael Spivak. A must have, in my opinion.

First-year or prospective mathematics majors. View all 3 comments.