Share

Calculus of Several Variables

2012-12-06 Mathematics
Download Calculus of Several Variables PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 682/5 ( reviews)

GET EBOOK


Book Synopsis Calculus of Several Variables by : Serge Lang

Download or read book Calculus of Several Variables written by Serge Lang. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

2014-05-10 Mathematics
Download Advanced Calculus of Several Variables PDF Online Free

Author :
Release : 2014-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 055/5 ( reviews)

GET EBOOK


Book Synopsis Advanced Calculus of Several Variables by : C. H. Edwards

Download or read book Advanced Calculus of Several Variables written by C. H. Edwards. This book was released on 2014-05-10. Available in PDF, EPUB and Kindle. Book excerpt: 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

2020-07-27 Education
Download Introduction to Analysis in Several Variables: Advanced Calculus PDF Online Free

Author :
Release : 2020-07-27
Genre : Education
Kind : eBook
Book Rating : 699/5 ( reviews)

GET EBOOK


Book Synopsis Introduction to Analysis in Several Variables: Advanced Calculus by : Michael E. Taylor

Download or read book Introduction to Analysis in Several Variables: Advanced Calculus written by Michael E. Taylor. This book was released on 2020-07-27. Available in PDF, EPUB and Kindle. Book excerpt: 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

2012-12-06 Mathematics
Download Functions of Several Variables PDF Online Free

Author :
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 619/5 ( reviews)

GET EBOOK


Book Synopsis Functions of Several Variables by : Wendell Fleming

Download or read book Functions of Several Variables written by Wendell Fleming. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

2019-11-17 Calculus
Download Multivariable Calculus PDF Online Free

Author :
Release : 2019-11-17
Genre : Calculus
Kind : eBook
Book Rating : 990/5 ( reviews)

GET EBOOK


Book Synopsis Multivariable Calculus by : Don Shimamoto

Download or read book Multivariable Calculus written by Don Shimamoto. This book was released on 2019-11-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

You may also like...