A Course in Multivariable Calculus and Analysis - download pdf or read online

By Sudhir R. Ghorpade,Balmohan V. Limaye

This self-contained textbook offers an intensive exposition of multivariable calculus. The emphasis is on correlating common suggestions and result of multivariable calculus with their opposite numbers in one-variable calculus. extra, the publication contains actual analogues of uncomplicated ends up in one-variable calculus, akin to the suggest price theorem and the basic theorem of calculus.



This ebook is wonderful from others at the topic: it examines issues now not in most cases lined, akin to monotonicity, bimonotonicity, and convexity, including their relation to partial differentiation, cubature principles for approximate assessment of double integrals, and conditional in addition to unconditional convergence of double sequence and mistaken double integrals. each one bankruptcy comprises particular proofs of proper effects, besides a number of examples and a large choice of routines of various levels of trouble, making the booklet priceless to undergraduate and graduate scholars alike.

Show description

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

Similar mathematical analysis books

Download e-book for iPad: Classical and Multilinear Harmonic Analysis: 2 (Cambridge by Camil Muscalu,Wilhelm Schlag

This two-volume textual content in harmonic research introduces a wealth of analytical effects and strategies. it really is principally self-contained and beneficial to graduates and researchers in natural and utilized research. various workouts and difficulties make the textual content appropriate for self-study and the school room alike. the 1st quantity begins with classical one-dimensional themes: Fourier sequence; harmonic services; Hilbert rework.

Download e-book for iPad: Vektoranalysis: Höhere Mathematik für Ingenieure, by Klemens Burg,Herbert Haf,Friedrich Wille,Andreas Meister

Fundiert und verständlich führt dieser Band in das Gebiet der Vektoranalysis ein. Die vielen Beispiele und Anwendungen stellen immer wieder den Praxisbezug des Themas in den Vordergrund. Daher ist dieses Buch jedem zu empfehlen, der sich mit der Vektoranalysis aus Sicht des Anwenders beschäftigt.

A Collection of Problems on a Course of Mathematical - download pdf or read online

Choice of difficulties on a process Mathematical research includes chosen difficulties and routines at the major branches of a Technical university process mathematical research. This e-book covers the themes of features, limits, derivatives, differential calculus, curves, sure essential, essential calculus, tools of comparing convinced integrals, and their functions.

Gerald L. Kovacich,Edward Halibozek's Security Metrics Management: Measuring the Effectiveness and PDF

Safety Metrics administration, Measuring the Effectiveness and potency of a safety software, moment variation information the appliance of quantitative, statistical, and/or mathematical analyses to degree defense useful traits and workload, monitoring what each one functionality is doing by way of point of attempt (LOE), expenditures, and productiveness.

Extra 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 George
4.2

Rated 4.85 of 5 – based on 46 votes