:Part I. Manifolds, Lie Groups and Hamiltonian Systems
نام نخستين پديدآور
/ by Gerd Rudolph, Matthias Schmidt
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Dordrecht
نام ناشر، پخش کننده و غيره
: Springer Netherlands :Imprint: Springer,
تاریخ نشرو بخش و غیره
, 2013.
مشخصات ظاهری
نام خاص و کميت اثر
XIII, 759 p. 39 illus., online resource.
فروست
عنوان فروست
(Theoretical and Mathematical Physics,1864-5879)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به مندرجات
متن يادداشت
Starting from an undergraduate level, this book systematically develops the basics of - Calculus on manifolds, vector bundles, vector fields and differential forms, - Lie groups and Lie group actions, - Linear symplectic algebra and symplectic geometry, - Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook, with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.
متن يادداشت
1 Differentiable manifolds -- 2 Vector bundles -- 3 Vector fields -- 4 Differential forms -- 5 Lie groups -- 6 Lie group actions -- 7 Linear symplectic algebra -- 8 Symplectic geometry -- 9 Hamiltonian systems -- 10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory -- References.?╗╣
فروست (داده ارتباطی)
عنوان
Theoretical and Mathematical Physics,1864-5879
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Physics
موضوع مستند نشده
Topological Groups
موضوع مستند نشده
Global analysis
موضوع مستند نشده
Global differential geometry
موضوع مستند نشده
Mathematical physics
موضوع مستند نشده
Mechanics
موضوع مستند نشده
Electronic books
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )