Get A Course in Multivariable Calculus and Analysis PDF

By Sudhir R. Ghorpade,Balmohan V. Limaye

This self-contained textbook supplies an intensive exposition of multivariable calculus. The emphasis is on correlating common techniques and result of multivariable calculus with their opposite numbers in one-variable calculus. additional, the ebook contains real analogues of easy ends up in one-variable calculus, resembling the suggest worth theorem and the elemental theorem of calculus.

This e-book is special from others at the topic: it examines themes now not in general lined, resembling monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate review of double integrals, and conditional in addition to unconditional convergence of double sequence and flawed double integrals. each one bankruptcy comprises specific proofs of appropriate effects, in addition to quite a few examples and a large selection of routines of various levels of trouble, making the e-book worthy to undergraduate and graduate scholars alike.

Show description

Read or Download A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics) PDF

Similar mathematical analysis books

Download e-book for kindle: Applied Nonstandard Analysis (Dover Books on Mathematics) by Martin Davis

Aimed toward upper-level undergraduates and graduate scholars, this article explores the functions of nonstandard research with out assuming any wisdom of mathematical good judgment. It develops the major suggestions of nonstandard research on the outset from a unmarried, robust building; then, starting with a nonstandard development of the true quantity approach, it leads scholars via a nonstandard remedy of the elemental issues of simple genuine research, topological areas, and Hilbert house.

Download e-book for iPad: Generalised Euler-Jacobi Inversion Formula and Asymptotics by Vic Kowalenko,N. E. Frankel,L. Glasser,T. Taucher

This paintings, first released in 1995, provides advancements in figuring out the subdominant exponential phrases of asymptotic expansions that have formerly been overlooked. by way of contemplating exact exponential sequence coming up in quantity idea, the authors derive the generalised Euler-Jacobi sequence, expressed by way of hypergeometric sequence.

Funktionentheorie (Mathematik Kompakt) (German Edition) - download pdf or read online

In dieser konzisen und zielgerichteten Einführung wird die Eleganz und Geschlossenheit der Funktionentheorie vorgeführt. So lassen sich mit den komplex-analytischen Methoden u. a. Formeln kompakt darstellen und Grenzwerte einfach berechnen – Funktionentheorie spart Rechnungen. Zahlreiche interessante Beispiele, Anwendungen und one hundred seventy Übungsaufgaben zeigen die Effizienz der Methoden.

Download e-book for kindle: Handbook of Numerical Methods for Hyperbolic Problems: Basic by Remi Abgrall,Chi-Wang Shu

Instruction manual of Numerical equipment for Hyperbolic difficulties explores the alterations that experience taken position long ago few many years relating to literature within the layout, research and alertness of varied numerical algorithms for fixing hyperbolic equations. This quantity offers concise summaries from specialists in numerous different types of algorithms, in order that readers can discover a number of algorithms below various events and easily comprehend their relative benefits and obstacles.

Additional resources for A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics)

Example text

Download PDF sample

A Course in Multivariable Calculus and Analysis (Undergraduate Texts in Mathematics) by Sudhir R. Ghorpade,Balmohan V. Limaye

by Christopher

Rated 4.83 of 5 – based on 47 votes