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  • © 2001

Dynamical Systems IV

Symplectic Geometry and its Applications

  • A book by a team of absolutely outstanding authors!

Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 4)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-vii
  2. Symplectic Geometry

    • V. I. Arnol’d, A. B. Givental’, S. P. Novikov
    Pages 1-138
  3. Geometric Quantization

    • A. A. Kirillov
    Pages 139-176
  4. Integrable Systems.I

    • B. A. Dubrovin, I. M. Krichever, S. P. Novikov
    Pages 177-332
  5. Back Matter

    Pages 333-335

About this book

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

Reviews

"... 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

Editors and Affiliations

  • Steklov Mathematical Institute, Moscow, Russia

    V. I. Arnold

  • CEREMADE, Université Paris 9 — Dauphine, Paris Cedex 16-e, France

    V. I. Arnold

  • Institute of Physical Sciences and Technology, University of Maryland, College Park, USA

    S. P. Novikov

  • L.D. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russsia

    S. P. Novikov

Bibliographic Information

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access