Advanced Calculus of Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advanced Calculus of Several Variables write by C. H. Edwards. This book was released on 2014-05-10. Advanced Calculus of Several Variables available in PDF, EPUB and Kindle. Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.
Advanced Calculus of Several Variables
Advanced Calculus of Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advanced Calculus of Several Variables write by C. H. Edwards. This book was released on 2012-10-10. Advanced Calculus of Several Variables available in PDF, EPUB and Kindle. Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.
Introduction to Analysis in Several Variables: Advanced Calculus
Introduction to Analysis in Several Variables: Advanced Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Analysis in Several Variables: Advanced Calculus write by Michael E. Taylor. This book was released on 2020-07-27. Introduction to Analysis in Several Variables: Advanced Calculus available in PDF, EPUB and Kindle. This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation for analysis. The first part treats analysis in one variable, and the text at hand treats analysis in several variables. After a review of topics from one-variable analysis and linear algebra, the text treats in succession multivariable differential calculus, including systems of differential equations, and multivariable integral calculus. It builds on this to develop calculus on surfaces in Euclidean space and also on manifolds. It introduces differential forms and establishes a general Stokes formula. It describes various applications of Stokes formula, from harmonic functions to degree theory. The text then studies the differential geometry of surfaces, including geodesics and curvature, and makes contact with degree theory, via the Gauss–Bonnet theorem. The text also takes up Fourier analysis, and bridges this with results on surfaces, via Fourier analysis on spheres and on compact matrix groups.
Calculus of Several Variables
Calculus of Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Calculus of Several Variables write by Serge Lang. This book was released on 2012-12-06. Calculus of Several Variables available in PDF, EPUB and Kindle. 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 includes many completely worked-out problems.
Advanced Calculus (Revised Edition)
Advanced Calculus (Revised Edition) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advanced Calculus (Revised Edition) write by Lynn Harold Loomis. This book was released on 2014-02-26. Advanced Calculus (Revised Edition) available in PDF, EPUB and Kindle. 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.
