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Variationskalkulation von Jürgen Jost: Neu-
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eBay-Artikelnr.:282874263214
Artikelmerkmale
- Artikelzustand
- Book Title
- Calculus of Variations
- Publication Date
- 1999-01-28
- ISBN
- 9780521642033
Über dieses Produkt
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521642035
ISBN-13
9780521642033
eBay Product ID (ePID)
177438
Product Key Features
Number of Pages
340 Pages
Language
English
Publication Name
Calculus of Variations
Subject
Calculus, Mathematical Analysis
Publication Year
1999
Type
Textbook
Subject Area
Mathematics
Series
Cambridge Studies in Advanced Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.9 in
Item Weight
20.8 Oz
Item Length
9.3 in
Item Width
6.2 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
21
Reviews
"This modern self-contained exposition...is an excellent textbook for graduate students and a good source of information in the calculus of variations." Mathematical Reviews
Series Volume Number
Series Number 64
Illustrated
Yes
Dewey Decimal
515.64
Table Of Content
Part I. One-Dimensional Variational Problems: 1. The classical theory; 2. Geodesic curves; 3. Saddle point constructions; 4. The theory of Hamilton and Jacobi; 5. Dynamic optimization; Part II. Multiple Integrals in the Calculus of Variations: 6. Lebesgue integration theory; 7. Banach spaces; 8. Lp and Sobolev spaces; 9. The direct methods; 10. Nonconvex functionals: relaxation; 11. G-convergence; 12. BV-functionals and G-convergence: the example of Modica and Mortola; Appendix A. The coarea formula; Appendix B. The distance function from smooth hypersurfaces; 13. Bifurcation theory; 14. The Palais-Smale condition and unstable critical points of variational problems.
Synopsis
This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues such as Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optimal control theory are also given. The second part of the book deals with multiple integrals. After a review of Lebesgue integration, Banach and Hilbert space theory and Sobolev spaces (with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent chapters introduce the basic concepts of the modern calculus of variations, namely relaxation, Gamma convergence, bifurcation theory and minimax methods based on the Palais-Smale condition. The prerequisites are knowledge of the basic results from calculus of one and several variables. After having studied this book, the reader will be well equipped to read research papers in the calculus of variations., This textbook on the calculus of variations covers from the basics to the modern aspects of the theory. It is intended to equip the reader to read present research papers in the subject., This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues like Euler-Lagrange equations are treated, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optimal control theory are also given. The second part of the book deals with multiple integrals. After a review of Lebesgue integration, Banach and Hilbert space theory and Sobolev spaces (with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent chapters introduce the basic concepts of the modern calculus of variations, namely relaxation, Gamma convergence, bifurcation theory and minimax methods based on the Palais-Smale condition. The only prerequisites are basic results from calculus of one and several variables. After having studied this book, the reader will be well-equipped to read research papers in the calculus of variations.
LC Classification Number
QA315 .J67 1998
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- m***m (2357)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!Tobin's Spirit Guide: Official Ghostbusters Edition by Erik Burnham: Used (Nr. 404302598631)
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AlibrisBooks
98,8% positive Bewertungen•2,0 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (531.399)
- e***n (390)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, Joe
- 0***g (380)- Bewertung vom Käufer.Letzter MonatBestätigter KaufExcellent purchase. Was able to get all three items from the one seller. Seller was able to bundle all three items together into one package. Items as described and arrived in perfect condition. Good communication around shipping and tracking as items delayed and not able to be delivered by original estimate. Thanks to shipping updates I was able to track the items arriving before the extended delivery time. Thank you for making these items available on EBay.
- m***m (2357)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufI’m thrilled with my recent purchase . The website was user-friendly, and the product descriptions were accurate. Customer service was prompt and helpful, answering all my questions. My order arrived quickly, well-packaged, and the product exceeded my expectations in quality. I’m impressed with the attention to detail and the overall experience. I’ll definitely shop here again and highly recommend from this seller to others. Thank you for a fantastic experience!Tobin's Spirit Guide: Official Ghostbusters Edition by Erik Burnham: Used (Nr. 404302598631)