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 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 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.
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.
Functions of Several Variables
Functions 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 Functions of Several Variables write by Wendell Fleming. This book was released on 2012-12-06. Functions of Several Variables available in PDF, EPUB and Kindle. This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds. However, an additional chapter on elementary topology makes the book more complete as an advanced calculus text, and sections have been added introducing physical applications in thermodynamics, fluid dynamics, and classical rigid body mechanics.
Multivariable Calculus
Multivariable 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 Multivariable Calculus write by Don Shimamoto. This book was released on 2019-11-17. Multivariable Calculus available in PDF, EPUB and Kindle. This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking, the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and, finally, the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise, the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required. Latest corrected printing: January 8, 2020. Updated information available online at the Open Textbook Library.
