| Analysis II 2008 Edition Contributor(s): Amann, Herbert (Author), Escher, Joachim (Author) |
|
 |
ISBN: 3764374721 ISBN-13: 9783764374723 Publisher: Birkhauser OUR PRICE: $94.99 Product Type: Paperback - Other Formats Published: May 2008 Annotation: The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and clear development that started in Volume I (3-7643-7153-6) continues. In this way a sustainable basis will be created which allows to deal with interesting applications that sometimes go considerably beyond the material that is represented in traditional textbooks. This applies, for instance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations. Another example is the presentation of the local theory of submanifolds of Rn. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Functional Analysis - Mathematics | Complex Analysis |
| Dewey: 515 |
| LCCN: 2008926303 |
| Physical Information: 0.9" H x 9.4" W x 6.5" (1.75 lbs) 400 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: As with the ?rst, the secondvolume containssubstantially morematerialthancan be covered in a one-semester course. Such courses may omit many beautiful and well-grounded applications which connect broadly to many areas of mathematics. We of course hope that students will pursue this material independently; teachers may ?nd it useful for undergraduate seminars. For an overview of the material presented, consult the table of contents and the chapter introductions. As before, we stress that doing the numerous exercises is indispensable for understanding the subject matter, and they also round out and amplify the main text. In writing this volume, we are indebted to the help of many. We especially thank our friends and colleages Pavol Quittner and Gieri Simonett. They have not only meticulously reviewed the entire manuscript and assisted in weeding out errors but also, through their valuable suggestions for improvement, contributed essentially to the ?nal version. We also extend great thanks to our sta? for their careful perusal of the entire manuscript and for tracking errata and inaccuracies. Our most heartfelt thank extends again to our "typesetting perfectionist", 1 without whose tireless e?ort this book would not look nearly so nice. We also thank Andreas for helping resolve hardware and software problems. Finally, we extend thanks to Thomas Hintermann and to Birkh] auser for the good working relationship and their understanding of our desired deadlines. |