Cantitate/Preț
Produs

Analysis II

Autor Herbert Amann, Joachim Escher
en Limba Engleză Paperback – 16 mai 2008
As with the first, the second volume contains substantially more material than can 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 find 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 colleagues 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 final version. We also extend great thanks to our staff 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 effort 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 Birkhauser for the good working relationship and their understanding of our desired deadlines.
Citește tot Restrânge

Preț: 48882 lei

Preț vechi: 59612 lei
-18% Nou

Puncte Express: 733

Preț estimativ în valută:
9356 9751$ 7788£

Carte disponibilă

Livrare economică 16-30 decembrie
Livrare express 29 noiembrie-05 decembrie pentru 4288 lei

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783764374723
ISBN-10: 3764374721
Pagini: 416
Ilustrații: XII, 400 p.
Dimensiuni: 170 x 244 x 22 mm
Greutate: 0.79 kg
Ediția:2008
Editura: Springer International Publishing
Colecția Birkhäuser
Locul publicării:Cham, Switzerland

Public țintă

Lower undergraduate

Cuprins

Preface.- VI. Integral Calculus in One Variable - 1. Step Continuous Functions - 2. Continuous Extensions - 3. The Cauchy-Riemann Integral - 4. Properties of the Integral - 5. The Technology of Integration - 6. Sums and Integrals - 7. Fourier Series - 8. Improper Integrals - 9. The Gamma Function.- VII. Differential Calculus in Several Variables - 1. Continuous Linear Mappings - 2. Differentiability - 3. Calculation Rules - 4. Multilinear Mappings - 5. Higher Derivatives - 6. Nemytski Operators and Calculus of Variations - 7. Inverse Mappings - 8. Implicit Functions - 9. Manifolds - 10. Tangents and Normals.- VIII. Line Integrals - 1. Curves and Their Length - 2. Curves in Rn - 3. Pfaff Forms - 4. Line Integrals - 5. Holomorphic Functions - 6. Meromorphic Functions.- Bibliography.- Index.

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 Includes supplementary material: sn.pub/extras