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: 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.
(24590 views)
Book cover: Multivariable Calculus: Applications and TheoryMultivariable Calculus: Applications and Theory
by - Brigham Young University
This book presents the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. This is the correct approach, leaving open the possibility that at least some students will understand the topics presented.
(3271 views)
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.
(9353 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.
(11709 views)