{"product_id":"global-aspects-of-classical-integrable-systems","title":"Global Aspects of Classical Integrable Systems","description":"\u003ch3\u003eBook Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Cushman, Richard H.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBrand\u003c\/strong\u003e: Birkhäuser\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: 2nd\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Hardcover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eNumber of Pages\u003c\/strong\u003e: 477\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 11-06-2015\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9783034809177\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePackage Dimensions\u003c\/strong\u003e: 9.1 x 6.2 x 1.3 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguages\u003c\/strong\u003e: English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch3\u003eAbout the Book\u003c\/h3\u003e\n\u003cp\u003e\"\u003cstrong\u003eEnergy-Momentum Mapping and Symmetry Reduction\u003c\/strong\u003e\" by \u003cstrong\u003eRichard H. Cushman\u003c\/strong\u003e offers a \u003cstrong\u003ecomprehensive exploration\u003c\/strong\u003e of the geometry behind the \u003cstrong\u003eenergy-momentum mapping\u003c\/strong\u003e of five classical integrable systems. These systems are integral to the study of \u003cstrong\u003eadvanced classical mechanics\u003c\/strong\u003e and \u003cstrong\u003eglobal analysis\u003c\/strong\u003e, specifically for \u003cstrong\u003egraduate students\u003c\/strong\u003e and \u003cstrong\u003eprofessional mathematicians\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003eThe book provides a \u003cstrong\u003ecomplete description\u003c\/strong\u003e of the geometry for systems such as:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eThe 2-dimensional harmonic oscillator\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eThe geodesic flow on the 3-sphere\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eThe Euler top\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eThe spherical pendulum\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eThe Lagrange top\u003c\/strong\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eThis work is remarkable for its presentation of \u003cstrong\u003esymmetry reduction theory\u003c\/strong\u003e, a topic rarely tackled in such detail. Cushman introduces a \u003cstrong\u003egeneral theory of symmetry reduction\u003c\/strong\u003e that helps reduce symmetries in systems like the \u003cstrong\u003espherical pendulum\u003c\/strong\u003e and \u003cstrong\u003eLagrange top\u003c\/strong\u003e, enhancing the understanding of their behavior. The book also \u003cstrong\u003ecalculates the monodromy obstruction\u003c\/strong\u003e to the existence of global action-angle coordinates for these systems, which is an advanced topic in mathematical physics.\u003c\/p\u003e\n\u003cp\u003eWhile the book focuses on \u003cstrong\u003emathematical rigor\u003c\/strong\u003e, its clear explanations make it suitable as a \u003cstrong\u003etextbook\u003c\/strong\u003e for those interested in \u003cstrong\u003eclassical mechanics\u003c\/strong\u003e, \u003cstrong\u003edynamical systems\u003c\/strong\u003e, and \u003cstrong\u003eglobal analysis\u003c\/strong\u003e.\u003c\/p\u003e\n\u003chr\u003e\n\u003ch3\u003eKey Features:\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eIn-depth Analysis\u003c\/strong\u003e: Describes the \u003cstrong\u003eenergy-momentum mapping\u003c\/strong\u003e for five classical systems in detail.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eSymmetry Reduction\u003c\/strong\u003e: Introduces a \u003cstrong\u003egeneral theory\u003c\/strong\u003e of symmetry reduction, with applications to the \u003cstrong\u003espherical pendulum\u003c\/strong\u003e and \u003cstrong\u003eLagrange top\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eMonodromy Obstruction\u003c\/strong\u003e: Explores \u003cstrong\u003emonodromy obstruction\u003c\/strong\u003e and global action-angle coordinates for certain mechanical systems.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eTarget Audience\u003c\/strong\u003e: Professional mathematicians and \u003cstrong\u003egraduate students\u003c\/strong\u003e in \u003cstrong\u003eclassical mechanics\u003c\/strong\u003e or \u003cstrong\u003eglobal analysis\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch3\u003eReview\u003c\/h3\u003e\n\u003cp\u003eThis second edition of Cushman’s work is \u003cstrong\u003ehighly regarded\u003c\/strong\u003e for its \u003cstrong\u003emathematical depth\u003c\/strong\u003e and \u003cstrong\u003eclarity\u003c\/strong\u003e in tackling complex topics within classical mechanics. The inclusion of \u003cstrong\u003esymmetry reduction\u003c\/strong\u003e and \u003cstrong\u003emonodromy obstruction\u003c\/strong\u003e adds unique insights that make it an essential reference for anyone looking to deepen their understanding of \u003cstrong\u003eadvanced classical dynamics\u003c\/strong\u003e and \u003cstrong\u003eintegrable systems\u003c\/strong\u003e.\u003c\/p\u003e","brand":"Birkhauser","offers":[{"title":"Default Title","offer_id":49939646480688,"sku":"Sarat_9783034809177","price":7980.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/birkhauser-book-default-title-global-aspects-of-classical-integrable-systems-41287098237232.jpg?v=1775948596","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/global-aspects-of-classical-integrable-systems","provider":"Retail Maharaj","version":"1.0","type":"link"}