{"product_id":"developments-of-harmonic-maps-wave-maps-and-yang-mills-fields-into-biharmonic-maps-biwave-maps-and-bi-yang-mills-fields-0-frontiers-in-mathematics","title":"Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields: 0 (Frontiers in Mathematics)","description":"\u003cp\u003e\u003cstrong\u003eBook Details\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Birkhäuser\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor\u003c\/strong\u003e: Yuan-Jen Chiang\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN\u003c\/strong\u003e: 9783034805339\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition\u003c\/strong\u003e: 2013\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eBinding\u003c\/strong\u003e: Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages\u003c\/strong\u003e: 399\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date\u003c\/strong\u003e: 28-06-2013\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\u003cp\u003e\u003cstrong\u003eAbout The Book\u003c\/strong\u003e\u003cbr\u003e\"\u003cstrong\u003eHarmonic Maps, Biharmonic Maps and Related Topics\u003c\/strong\u003e\" by \u003cstrong\u003eYuan-Jen Chiang\u003c\/strong\u003e is a comprehensive study on the evolution and developments in the theory of harmonic and biharmonic maps, which play a significant role in both mathematics and physics. The book traces the \u003cstrong\u003ehistorical roots\u003c\/strong\u003e of harmonic maps and their connection to \u003cstrong\u003eRiemannian manifolds\u003c\/strong\u003e, starting with the seminal work of \u003cstrong\u003eJames Eells and Joseph H. Sampson\u003c\/strong\u003e in 1964. It also explores the progression from harmonic maps to more complex fields, such as \u003cstrong\u003ewave maps\u003c\/strong\u003e, \u003cstrong\u003eYang-Mills fields\u003c\/strong\u003e, and the introduction of \u003cstrong\u003ebiharmonic maps\u003c\/strong\u003e by \u003cstrong\u003eGuoying Jiang\u003c\/strong\u003e in 1986.\u003c\/p\u003e\n\u003cp\u003eThe author also introduces \u003cstrong\u003ebiwave maps\u003c\/strong\u003e, which generalize wave maps, and \u003cstrong\u003ebi-Yang-Mills fields\u003c\/strong\u003e, which extend the concepts of Yang-Mills fields, topics first studied by \u003cstrong\u003eToshiyuki Ichiyama\u003c\/strong\u003e, \u003cstrong\u003eJun-Ichi Inoguchi\u003c\/strong\u003e, and \u003cstrong\u003eHajime Urakawa\u003c\/strong\u003e in 2008. Additionally, the book delves into \u003cstrong\u003eexponential harmonic maps\u003c\/strong\u003e, \u003cstrong\u003eexponential wave maps\u003c\/strong\u003e, and \u003cstrong\u003eexponential Yang-Mills fields\u003c\/strong\u003e, presenting cutting-edge research and findings in these areas.\u003c\/p\u003e\n\u003cp\u003eThis book is an excellent resource for mathematicians and physicists interested in \u003cstrong\u003edifferential geometry\u003c\/strong\u003e, \u003cstrong\u003efunctional analysis\u003c\/strong\u003e, and the \u003cstrong\u003emathematical physics\u003c\/strong\u003e surrounding \u003cstrong\u003eYang-Mills theory\u003c\/strong\u003e and \u003cstrong\u003eharmonic analysis\u003c\/strong\u003e. The work emphasizes the \u003cstrong\u003econnections\u003c\/strong\u003e between different fields of study, offering a broad perspective on the ongoing advancements in these topics.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eKey Features\u003c\/strong\u003e:\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eIn-depth exploration\u003c\/strong\u003e of \u003cstrong\u003eharmonic maps\u003c\/strong\u003e, \u003cstrong\u003ewave maps\u003c\/strong\u003e, \u003cstrong\u003eYang-Mills fields\u003c\/strong\u003e, and their \u003cstrong\u003egeneralizations\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eHistorical context and important developments in the \u003cstrong\u003emathematical study\u003c\/strong\u003e of these fields.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eIntroduction of \u003cstrong\u003ebiwave maps\u003c\/strong\u003e and \u003cstrong\u003ebi-Yang-Mills fields\u003c\/strong\u003e, expanding existing theories.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eEmphasis on \u003cstrong\u003eexponential maps\u003c\/strong\u003e and their relationship to the core subjects.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003eA crucial resource for anyone working in \u003cstrong\u003edifferential geometry\u003c\/strong\u003e, \u003cstrong\u003emathematical physics\u003c\/strong\u003e, or \u003cstrong\u003efunctional analysis\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eThis book is perfect for \u003cstrong\u003egraduate students\u003c\/strong\u003e, \u003cstrong\u003eresearchers\u003c\/strong\u003e, and \u003cstrong\u003eprofessionals\u003c\/strong\u003e in fields like \u003cstrong\u003emathematics\u003c\/strong\u003e, \u003cstrong\u003ephysics\u003c\/strong\u003e, and \u003cstrong\u003eengineering\u003c\/strong\u003e who are looking to explore the intricate relationships between these important mathematical concepts.\u003c\/p\u003e","brand":"Springer-Verlag","offers":[{"title":"Default Title","offer_id":49925861507376,"sku":"Sarat_9783034805339","price":5040.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/springer-verlag-book-default-title-developments-of-harmonic-maps-wave-maps-and-yang-mills-fields-into-biharmonic-maps-biwave-maps-and-bi-yang-mills-fields-0-frontiers-in-mathematics-41250202386736.jpg?v=1775961725","url":"https:\/\/www.retailmaharaj.com\/products\/developments-of-harmonic-maps-wave-maps-and-yang-mills-fields-into-biharmonic-maps-biwave-maps-and-bi-yang-mills-fields-0-frontiers-in-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}