{"product_id":"mathematical-physics-a-modern-introduction-to-its-foundations-9783319011943","title":"Mathematical Physics: A Modern Introduction to Its Foundations","description":"\u003cp\u003eThe goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fibre bundles and their applications to differential geometry and gauge theories.\u003c\/p\u003e\u003cp\u003eThis second edition is a substantial revision with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras, fibre bundles, and gauge theories. The spirit of the first edition, namely the balance between rigour and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the \"unreasonable effectiveness of mathematics\" in modern physics.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003eSadri Hassani is Professor Emeritus in the Department of Physics at Illinois State University, USA.\u003cbr\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":50557272195346,"sku":"9783319011943","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_d4e1c2bf-ef64-42dc-9855-731349e5ca8e.jpg?v=1731777365","url":"https:\/\/surprise-castle.myshopify.com\/products\/mathematical-physics-a-modern-introduction-to-its-foundations-9783319011943","provider":"Surprise Castle","version":"1.0","type":"link"}