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Author : H. Jerome Keisler
Release : 1976-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 155/5 ( reviews)
Book Synopsis Foundations of Infinitesimal Calculus by : H. Jerome Keisler
Download or read book Foundations of Infinitesimal Calculus written by H. Jerome Keisler. This book was released on 1976-01-01. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Jerome Keisler
Release : 2009-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 315/5 ( reviews)
Book Synopsis Elementary Calculus by : H. Jerome Keisler
Download or read book Elementary Calculus written by H. Jerome Keisler. This book was released on 2009-09-01. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lynn Harold Loomis
Release : 2014-02-26
Genre : Mathematics
Kind : eBook
Book Rating : 952/5 ( reviews)
Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis. This book was released on 2014-02-26. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : L. S. Pontryagin
Release : 2015-05-20
Genre : Mathematics
Kind : eBook
Book Rating : 857/5 ( reviews)
Book Synopsis Foundations of Combinatorial Topology by : L. S. Pontryagin
Download or read book Foundations of Combinatorial Topology written by L. S. Pontryagin. This book was released on 2015-05-20. Available in PDF, EPUB and Kindle. Book excerpt: Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Lucid coverage of the field includes examinations of complexes and their Betti groups, invariance of the Betti groups, and continuous mappings and fixed points. Proofs are presented in a complete and careful manner. A beneficial text for a graduate-level course, "this little book is an extremely valuable addition to the literature of algebraic topology." — The Mathematical Gazette.
Author : G. Berkeley
Release : 2012-12-06
Genre : Computers
Kind : eBook
Book Rating : 929/5 ( reviews)
Book Synopsis De Motu and the Analyst by : G. Berkeley
Download or read book De Motu and the Analyst written by G. Berkeley. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley's philosophy has been much studied and discussed over the years, and a growing number of scholars have come to the realization that scientific and mathematical writings are an essential part of his philosophical enterprise. The aim of this volume is to present Berkeley's two most important scientific texts in a form which meets contemporary standards of scholarship while rendering them accessible to the modern reader. Although editions of both are contained in the fourth volume of the Works, these lack adequate introductions and do not provide com plete and corrected texts. The present edition contains a complete and critically established text of both De Motu and The Analyst, in addi tion to a new translation of De Motu. The introductions and notes are designed to provide the background necessary for a full understanding of Berkeley's account of science and mathematics. Although these two texts are very different, they are united by a shared a concern with the work of Newton and Leibniz. Berkeley's De Motu deals extensively with Newton's Principia and Leibniz's Specimen Dynamicum, while The Analyst critiques both Leibnizian and Newto nian mathematics. Berkeley is commonly thought of as a successor to Locke or Malebranche, but as these works show he is also a successor to Newton and Leibniz.
