John B. Conway - A First Course in Analysis
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John B. Conway is Professor Emeritus of Mathematics at George WashingtonUniversity. He is the author of eleven books, including Mathematical Connections: ACapstone Course , A Course in Functional Analysis , and the two-volume Functionsof One Complex Variable .
Cambridge Mathematical Textbooks is a program of undergraduate and beginning graduate level textbooks for corecourses, new courses, and interdisciplinary courses in pure and applied mathematics. These texts provide motivation with plenty of exercises of varying difficulty,interesting examples, modern applications, and unique approaches to the material.
Advisory Board
John B. Conway, George Washington University
Gregory F. Lawler, University of Chicago
John M. Lee, University of Washington
John Meier, Lafayette College
Lawrence C. Washington, University of Maryland, College Park
A complete list of books in the series can be found at www.cambridge.org/mathematics Recent titles include the following:
This is an excellent text for a first course in analysis in one and several variablesfor students who know some linear algebra. The book starts with the realnumbers, does differentiation and integration first in one variable, then in several,and finally covers differential forms and Stokes theorem. The style is friendly andconversational, and hews to the principal of going from the specific to thegeneral, making it a pleasure to read.
John McCarthy, Washington University in St. Louis
Conways previous texts are all considered classics. A First Course inAnalysis is destined to be another. It is written in the same friendly, yetrigorous, style that his readers know and love. Instructors seeking the breadthand depth of Rudin, but in a less austere and more accessible form, have foundtheir book.
Stephan Ramon Garcia, PomonaCollege
This is a beautiful yet practical introduction to rigorous analysis at the seniorundergraduate level, written by a master expositor.
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