Advanced Calculus

This book PDF is perfect for those who love Mathematics genre, written by Lynn Harold Loomis and published by World Scientific Publishing Company which was released on 26 February 2014 with total hardcover pages 596. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Advanced Calculus books below.

Advanced Calculus
Author : Lynn Harold Loomis
File Size : 53,7 Mb
Publisher : World Scientific Publishing Company
Language : English
Release Date : 26 February 2014
ISBN : 9789814583954
Pages : 596 pages
Get Book

Advanced Calculus by Lynn Harold Loomis Book PDF Summary

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.

Advanced Calculus

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

Get Book
Calculus

"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due

Get Book
A First Course in Calculus

This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a

Get Book
Introduction to Stochastic Calculus with Applications

This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and

Get Book
A Treatise on Isoperimetrical Problems and the Calculus of Variations

Download or read online A Treatise on Isoperimetrical Problems and the Calculus of Variations written by Robert Woodhouse, published by Unknown which was released on 1810. Get A Treatise on Isoperimetrical Problems and the Calculus of Variations Books now! Available in PDF, ePub and Kindle.

Get Book
Calculus

Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.

Get Book
The Hitchhiker s Guide to Calculus

Download or read online The Hitchhiker s Guide to Calculus written by Michael Spivak, published by Mathematical Association of America (MAA) which was released on 1995. Get The Hitchhiker s Guide to Calculus Books now! Available in PDF, ePub and Kindle.

Get Book
Calculus of Several Variables

This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It

Get Book