An introduction to analysis / William R. Wade, University of Tennessee.

Format:

Book

Author/Creator:

Wade, W. R.

Series:

Pearson modern classic

Language:

English

Subjects (All):

Mathematical analysis--Textbooks.

Mathematical analysis.

Genre:

Textbooks.

Physical Description:

xiii, 680 pages ; 24 cm.

Edition:

Fourth edition [2018 reissue].

Place of Publication:

New York, NY : Pearson, [2018]

Summary:

This text prepares students for future courses that use analytic ideas, such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. This book is designed to challenge advanced students while encouraging and helping weaker students. Offering readability, practicality and flexibility, Wade presents fundamental theorems and ideas from a practical viewpoint, showing students the motivation behind the mathematics and enabling them to construct their own proofs.

Contents:

Pt. I. One-dimensional theory

The real number system

Sequences in R

Functions on R

Differentiability on R

Integrability on R

Infinite series of real numbers

Infinite series of functions

Pt. II. Multidimensional theory

Euclidean spaces

Convergence in Rn

Metric spaces

Differentiability on Rn

Integration on Rn

Fundamental theorems of vector calculus

Fourier series

Appendices:

A. Algebraic laws

B. Trigonometry

C. Matrices and determinants

D. Quadric surfaces

E. Vector calculus and physics

F. Equivalence relations.

Notes:

Originally published in 2010, reissued as part of Pearson's modern classic series.

Includes bibliographical references and index.

ISBN:

9780134707624

0134707621

OCLC:

964502071