Can I read Introduction to Analysis in Several Variables: Advanced Calculus (Pure and Applied Undergraduate Texts) on EtoBox?

Introduction to Analysis in Several Variables: Advanced Calculus (Pure and Applied Undergraduate Texts) by Michael Eugene Taylor, mathématicien) is a nonfiction available to read on EtoBox.

What is Introduction to Analysis in Several Variables: Advanced Calculus (Pure and Applied Undergraduate Texts) about?

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.

Who reads Introduction to Analysis in Several Variables: Advanced Calculus (Pure and Applied Undergraduate Texts)?

Author

Michael Eugene Taylor, mathématicien)

Publisher

American Mathematical Society

Published

2020

Language

EN

ISBN

9781470456696

Category

nonfiction

Subjects

Mathematics, Stem