By Avner Friedman

This rigorous two-part remedy advances from services of 1 variable to these of a number of variables. meant for college kids who've already accomplished a one-year path in simple calculus, it defers the creation of features of numerous variables for so long as attainable, and provides readability and ease by way of heading off a mix of heuristic and rigorous arguments.
The first half explores capabilities of 1 variable, together with numbers and sequences, non-stop features, differentiable features, integration, and sequences and sequence of services. the second one half examines capabilities of numerous variables: the distance of a number of variables and non-stop capabilities, differentiation, a number of integrals, and line and floor integrals, concluding with a range of similar themes. whole suggestions to the issues seem on the finish of the text.

Show description

Read Online or Download Advanced Calculus (Dover Books on Mathematics) PDF

Similar calculus books

Get Nonlinear Differential Equations and Dynamical Systems PDF

For lecture classes that conceal the classical concept of nonlinear differential equations linked to Poincare and Lyapunov and introduce the coed to the guidelines of bifurcation conception and chaos, this article is perfect. Its first-class pedagogical kind mostly includes an insightful evaluation via theorems, illustrative examples, and routines.

Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub's Fractional Calculus with Applications in Mechanics: PDF

This publication comprises mathematical preliminaries during which easy definitions of fractional derivatives and areas are awarded. The valuable a part of the booklet includes quite a few functions in classical mechanics together with fields comparable to: viscoelasticity, warmth conduction, wave propagation and variational Hamilton–type rules.

New PDF release: The Fundamentals of Mathematical Analysis (International

The basics of Mathematical research, quantity 2 is a continuation of the dialogue of the basics of mathematical research, particularly just about curvilinear and floor integrals, with emphasis at the distinction among the curvilinear and floor ""integrals of first kind"" and ""integrals of moment variety.

Get Hyperbolicity of Projective Hypersurfaces (IMPA Monographs) PDF

Thisbook offers contemporary advances on Kobayashi hyperbolicity in complicated geometry,especially in reference to projective hypersurfaces. it is a very activefield, no longer least end result of the interesting relatives with complicated algebraicand mathematics geometry. Foundational works of Serge Lang and Paul A.

Additional resources for Advanced Calculus (Dover Books on Mathematics)

Example text

Download PDF sample

Advanced Calculus (Dover Books on Mathematics) by Avner Friedman


by Donald
4.2

Rated 4.38 of 5 – based on 6 votes