An Introduction to Analysis (4th Edition)

Covering both one-dimensional and multidimensional theory, this textbook fills the gap between intermediate-level calculus and graduate-level study. It contains chapters on the real number system, sequences in R, continuity on R, differentiability on R, integrability on R, infinite series on real numbers, infinite series on functions, Euclidean spaces, convergence in Rn, metric spaces, differentiation on Rn, integration on Rn, theorems of vector calculus, Fourier series, and differentiable manifolds. Wade teaches at the University of Tennessee. Annotation © 2004 Book News, Inc., Portland, OR

Booknews

Provides a bridge from sophomore calculus to graduate courses which use analytic ideas such as real and complex analysis, partial and ordinary differential equations, numerical analysis, fluid mechanics, and differential geometry. Early chapters introduce central ideas of analysis in a one-dimensional setting, and later chapters cover multidimensional theory. Enrichment material is provided in separate sections, and also embedded in core material sections, where it is marked with an asterisk. Includes exercises, hints, and answers. For mathematics, science, and engineering majors. The author teaches at the University of Tennessee. Annotation c. Book News, Inc., Portland, OR (booknews.com)