Logo

Advanced Calculus by Lynn H. Loomis, Shlomo Sternberg

Large book cover: Advanced Calculus

Advanced Calculus
by

Publisher: Jones and Bartlett Publishers
ISBN/ASIN: 0867201223
ISBN-13: 9780867201222
Number of pages: 592

Description:
A great book. Starts with two very good chapters on linear algebra, adapted to the needs of calculus, and then proceeds to introduce you to the contemporary way to do multivariate calculus, including existence theorems connected to completeness. Very thorough treatment of integration, including integration of forms on manifolds, up to the Stokes theorem, built upon a fine chapter on differential manifolds, exterior differential forms, riemannian metrics, etc. Good illustrations and beautiful typesetting add to the joy of reading it. Plenty of exercises and chapters on applications to physics and differential geometry.

Home page url

Download or read it online for free here:
Download link
(58MB, PDF)

Similar books

Book cover: Multivariable and Vector AnalysisMultivariable and Vector Analysis
by - Macquarie University
Introduction to multivariable and vector analysis: functions of several variables, differentiation, implicit and inverse function theorems, higher order derivatives, double and triple integrals, vector fields, integrals over paths, etc.
(10859 views)
Book cover: Multivariable CalculusMultivariable Calculus
by
The text covers Euclidean three space, vectors, vector functions, derivatives, more dimensions, linear functions and matrices, continuity, the Taylor polynomial, sequences and series, Taylor series, integration, Gauss and Green, Stokes.
(11042 views)
Book cover: Vector CalculusVector Calculus
by - Schoolcraft College
A textbok on elementary multivariable calculus, the covered topics: vector algebra, lines, planes, surfaces, vector-valued functions, functions of 2 or 3 variables, partial derivatives, optimization, multiple, line and surface integrals.
(26498 views)
Book cover: Multivariable Advanced CalculusMultivariable Advanced Calculus
by
The book is appropriate to anybody who understands the concepts of one variable calculus. The author develops further multivariable advanced calculus. He firsts presents a course in linear algebra, then the other calculus topics.
(11664 views)