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Dynamical Systems IV: Symplectic Geometry and its Applications de V.I. Arnol'd

Dynamical Systems IV: Symplectic Geometry and its Applications: Encyclopaedia of Mathematical Sciences, cartea 4

Editat de V.I. Arnol'd Traducere de G. Wassermann Editat de S.P. Novikov Traducere de A. Dzhamay Contribuţii de B.A. Dubrovin, A.B. Givental', A. A. Kirillov, I.M. Krichever
en Limba Engleză Paperback – dec 2010
From the reviews of the first edition:
"... In general the articles ... are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, outlines of proofs and complete proofs when it does not take too long together with readable explanations of what is going on. Also very useful are the large lists of references which are important not only for their mathematical content but also because the references given also contain articles in the Soviet literature which may not be familiar or possibly accessible to readers."
New Zealand Math. Soc. Newsletter 1991
"... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction. As far as he could judge, most presentations seem fairly complete..."
Mededelingen van het Wiskundig genootshap 1992
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Specificații

ISBN-13: 9783642082979
ISBN-10: 3642082971
Pagini: 344
Ilustrații: XII, 336 p.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.48 kg
Ediția:Softcover reprint of hardcover 2nd ed. 2001
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Encyclopaedia of Mathematical Sciences

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Part I. Symplectic Geometry by V.I.Arnol'd, A.B.Givental'.-Part II. Geometric Quantization by A.A.Kirillov.-Part III. Integrable Systems I by B.A.Dubrovin, I.M.Krichever, S.P.Novikov.-Appendix A. Algebraic-Geometrical Integration of (2+1)-Systems.-Appendix B. Two-Dimensional Schrödinger Operators and Integrable Systems.-Appendix C. Integrability of Systems of Hydrodynamic Type. The Non-Linear WKB Method.-Appendix D. Spectral Theory of Two-Dimensional Periodic Operators. Historical Remarks Concerning Algebraic Geometry, Hamiltonian Systems and Spectral Theory.-References.

Recenzii

"... As is standard in volumes of the Encyclopaedia, all parts bring an excellent description of the chosen topics, with many examples, mostly without proofs. They can be found in the books and papers cited in a comprehensive bibliography."
European Mathematical Society Newsletter, p. 27, June 2003
From the reviews of the first edition:
"... In general the articles ... are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, outlines of proofs and complete proofs when it does not take too long together with readable explanations of what is going on. Also very useful are the large lists of references which are important not only for their mathematical content but also because the references given also contain articles in the Soviet literature which may not be familiar or possibly accessible to readers." New Zealand Math. Soc. Newsletter 1991 "... Here ... a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction. As far as he could judge, most presentations seem fairly complete..."
Mededelingen van het Wiskundig genootshap 1992

Textul de pe ultima copertă

Dynamical Systems IV Symplectic Geometry and its Applications by V.I.Arnol'd, B.A.Dubrovin, A.B.Givental', A.A.Kirillov, I.M.Krichever, and S.P.Novikov From the reviews of the first edition: "... In general the articles in this book are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important results, outlines of proofs and complete proofs when it does not take too long together with readable explanations of what is going on. Also very useful are the large lists of references which are important not only for their mathematical content but also because the references given also contain articles in the Soviet literature which may not be familiar or possibly accessible to readers." New Zealand Math.Society Newsletter 1991 "... Here, as well as elsewhere in this Encyclopaedia, a wealth of material is displayed for us, too much to even indicate in a review. ... Your reviewer was very impressed by the contents of both volumes (EMS 2 and 4), recommending them without any restriction. As far as he could judge, most presentations seem fairly complete and, moreover, they are usually written by the experts in the field. ..." Medelingen van het Wiskundig genootshap 1992 !

Caracteristici

A book by a team of absolutely outstanding authors!