An Introduction To Analysis; Author: Wade, William R.; Author: Wade, W. R.; Hardback; Book

Author: Wade, William R.; Author: Wade, W. R.
Edition #2; Hardback; Book; Illustrations
611 pages
Published: September 1999
Pearson Higher Education
ISBN: 0130144096

User-friendly--yet rigorous--in approach, this introduction to analysis meets readers where they are by providing extra support for those who like a slower, less detailed approach, but not getting in the way of those who want a quicker pace and deeper focus. It uses analogy and geometry to motivate and explain the theory, and precedes many complicated proofs with a Strategy which motivates the proof, shows why it was chosen, and why it should work. Examples follow many theorems, showing why each hypothesis is needed, allowing readers to remember the hypotheses by recalling theexamples. Proofs are presented in complete detail, with each step carefully documented, and proofs are linked together in a way that teaches readers to think ahead. Physical interpretations are used tSecond edition. 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-dimension