Basic Real Analysis by Anthony W Knapp
Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume Advanced Real Analysis (available separately or together as a Set), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. Basic Real Analysis requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate studentspreparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, mathematical physics, and differential equations. Indeed, the clarity and breadth of Basic Real Analysis make it a welcome addition to the personal library of every mathematician.From the reviews:
“The volume contains more than 300 problems and a separate section gives hints or complete solutions to themThe book seems to be completely unified, carefully reasoned, rich in concepts, methods and results, and indubitably useful as for students in Real Analysis so also for teachers in this field.”(Zentralblatt MATH)
"This book tries to develop concepts and tools in real analysis that are vital to every mathematician. … The book contains more than 300 problems with hints and complete solutions for many of them." (A. Kriegl, Monatshefte für Mathematik, Vol. 151 (3), 2007)
Anthony W. Knapp is Professor of Mathematics at the University of New York, Stony Brook. He is the author of Representation Theory of Semisimple Groups: An Overview Based on Examples and Lie Groups, Lie Algebras, and Cohomology (both published by Princeton University Press).
| SKU | Unavailable |
| ISBN 13 | 9780817632502 |
| ISBN 10 | 0817632506 |
| Title | Basic Real Analysis |
| Author | Anthony W Knapp |
| Series | Cornerstones |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Birkhauser Boston Inc |
| Year published | 2005-07-29 |
| Number of pages | 656 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |