Real Analysis - Rilegato

Morgan, Frank

Rilegato

ISBN 10: 0821836706 ISBN 13: 9780821836705

Casa editrice: Amer Mathematical Society, 2005

Riassunto

This book is written by award-winning author, Frank Morgan. It offers a simple and sophisticated point of view, reflecting Morgan's insightful teaching, lecturing, and writing style. Intended for undergraduates studying real analysis, this book builds the theory behind calculus directly from the basic concepts of real numbers, limits, and open and closed sets in $\mathbf{R n$. It gives the three characterizations of continuity: via epsilon-delta, sequences, and open sets. It gives the three characterizations of compactness: as "closed and bounded," via sequences, and via open covers. Topics include Fourier series, the Gamma function, metric spaces, and Ascoli's Theorem. This concise text not only provides efficient proofs, but also shows students how to derive them. The excellent exercises are accompanied at the back of the book by select solutions. Ideally suited as an undergraduate textbook, this complete book on real analysis will fit comfortably into one semester. Frank Morgan received the first national Haimo teaching award from the Mathematical Association of America. He has also garnered top teaching awards from Rice University (Houston, TX) and MIT (Cambridge, MA).

Su questo libro

Product Description:

Book by Frank Morgan

Su questa edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2005
• ISBN 10: 0821836706
• ISBN 13: 9780821836705
• Rilegatura: Copertina rigida
• Numero di pagine: 151