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Analysis II

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Notă GoodReads:
en Limba Engleză Carte Paperback – 16 May 2008
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.
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Specificații

ISBN-13: 9783764374723
ISBN-10: 3764374721
Pagini: 416
Dimensiuni: 170 x 244 x 22 mm
Greutate: 0.69 kg
Ediția: 2008
Editura: Birkhäuser Basel
Colecția Birkhäuser
Locul publicării: Basel, Switzerland

Public țintă

Lower undergraduate

Cuprins

Integral calculus in one variable.- Multivariable differential calculus.- Line integrals.

Caracteristici

Cauchy’s integral theorems and the theory of holomorphic functions including the homological version of the residue theorem are derived as an application of the theory of line integrals
In addition to the calculation of important definite integrals which appear in Mathematics and in Physics, theoretic properties of the Gamma function and Riemann’s Zeta function are explored
Numerous examples with varying degrees of difficulty and many informative figures