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.
(11284 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.
(12037 views)
Book cover: Calculus IIICalculus III
by - Lamar University
These lecture notes should be accessible to anyone wanting to learn Calculus III or needing a refresher in some of the topics from the class. The notes assume a working knowledge of limits, derivatives, integration, parametric equations, vectors.
(12953 views)
Book cover: The Calculus of Functions of Several VariablesThe Calculus of Functions of Several Variables
by - Furman University
Many functions in the application of mathematics involve many variables simultaneously. This book introducses Rn, angles and the dot product, cross product, lines, planes, hyperplanes, linear and affine functions, operations with matrices, and more.
(13573 views)