This text motivates the study of the analysis of several variables with examples, observations, exercises, and illustrations.
The discussion in this book is restricted, for the most part, to func tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods.
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, ...
Nevertheless technicalities and detours should be avoided, and the presentation of mathematics should be just as free from emphasis on routine as from forbidding dogmatism which refuses to disclose motive or goal and which is an unfair ...
This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration.
Version 4.0 of this text is now available! Purchase this version only if you know it is what you want/need. A Calculus text which begins with the basic concepts of...
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.
This work provides a systematic examination of derivatives and integrals of multivariable functions.
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 work provides a systematic examination of derivatives and integrals of multivariable functions.