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.
Modern conceptual treatment of multivariable calculus, emphasizing interplay of geometry and analysis via linear algebra and the approximation of nonlinear mappings by linear ones. Over 400 well-chosen problems. 1973 edition.
That is , if « is a k - form on R * and H = G F then H * x = F * ( G * « ) . ... 6 STOKES ' THEOREM Recall that Green's theorem asserts that , if o is a & differential 1 - form on the cellulated region D CRP , then S du = loco w .
This book will help the reader work on the problems of Numerical Analysis, Operations Research, Differential Equations and Engineering applications.
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.
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, ...
This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course ...
Advanced Differential Calculus of Several Variables
Intended for students who have already completed a one-year course in elementary calculus, this two-part treatment advances from functions of one variable to those of several variables. Solutions. 1971 edition.