Analysis II
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 independ...
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| Hauptverfasser: | , |
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| Weitere Verfasser: | , |
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Basel :
Birkhäuser Basel : Springer e-books
[20..].
Cham : Springer Nature |
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L'impression document génère 553 p. Titre provenant de la page de titre du document numérisé Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Analysis II, Herbert Amann, Joachim Escher, 2008, Basel, Birkhäuser, 1 vol. (XII-400 p.), 978-3-7643-7472-3 |
| LEADER | 04542nam a22004457a 4500 | ||
|---|---|---|---|
| 001 | 940744 | ||
| 008 | 081009q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN128126442 | ||
| 020 | |a 9783764374785 | ||
| 041 | 1 | |a eng |h ger | |
| 082 | |a 515 | ||
| 084 | |a 26-01. 2010 | ||
| 084 | |a 30-01. 2010 | ||
| 100 | 1 | |a Amann, Herbert, |d 1938- | |
| 245 | 1 | 0 | |a Analysis II |c Herbert Amann, Joachim Escher ; translated from the German by Silvio Levy and Matthew Cargo. |
| 260 | |a Basel : |b Birkhäuser Basel : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a L'impression document génère 553 p. | ||
| 500 | |a Titre provenant de la page de titre du document numérisé | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Calcul intégral | ||
| 650 | |a Calcul différentiel | ||
| 650 | |a Analyse mathématique | ||
| 700 | 1 | |a Escher, Joachim, |d 1962- |4 aut | |
| 700 | 1 | |a Levy, Silvio, |d 1959- |4 trl | |
| 700 | 1 | |a Cargo, Matthew. |4 trl | |
| 765 | 0 | |t Analysis II | |
| 776 | 0 | |0 127795146 |t Analysis II |f Herbert Amann, Joachim Escher |d 2008 |c Basel |n Birkhäuser |p 1 vol. (XII-400 p.) |z 978-3-7643-7472-3 | |
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