{"product_id":"mathematical-foundations-of-statistical-mechanics","title":"Mathematical Foundations of Statistical Mechanics","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 Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e A.Y. Khinchin\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eLanguage:\u003c\/strong\u003e English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eEdition:\u003c\/strong\u003e First Edition\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 9780486601472\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003ePages:\u003c\/strong\u003e 179\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eCover:\u003c\/strong\u003e Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eRelease Date:\u003c\/strong\u003e 01-06-1949\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cstrong\u003eDimensions:\u003c\/strong\u003e 8.3 x 5.3 x 0.5 inches\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eAbout The Book\u003c\/strong\u003e\u003cbr\u003e\u003cem\u003eMathematical Foundations of Statistical Mechanics\u003c\/em\u003e by A.Y. Khinchin is a landmark text that offers a mathematically rigorous and clear introduction to the complex world of statistical mechanics. Aimed at English-speaking mathematicians and mathematical physicists, this translation brings an up-to-date and precise formulation of the problems encountered in statistical mechanics, distinguishing it from other works that often lack the necessary rigor.\u003c\/p\u003e\n\u003cp\u003eIn this comprehensive work, Khinchin replaces the cumbersome concepts typically used to establish basic formulae with analytical tools that provide clarity and depth. His approach gives a logical, step-by-step introduction that enables readers to quickly master the elements of statistical mechanics. The book begins with a historical overview and continues with a detailed discussion on the \u003cstrong\u003egeometry and kinematics of phase space\u003c\/strong\u003e, incorporating the fundamental \u003cstrong\u003eLiouville\u003c\/strong\u003e and \u003cstrong\u003eBirkhoff theorems\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003eThe book also covers critical topics such as the \u003cstrong\u003eergodic problem\u003c\/strong\u003e, in which time averages are replaced by phase averages, the \u003cstrong\u003etheory of probability\u003c\/strong\u003e, and the \u003cstrong\u003ecentral limit theorem\u003c\/strong\u003e. A significant portion of the text is dedicated to the ideal \u003cstrong\u003emonatomic gas\u003c\/strong\u003e, the \u003cstrong\u003efoundations of thermodynamics\u003c\/strong\u003e, and the \u003cstrong\u003edispersion and distribution of sum functions\u003c\/strong\u003e. With its rigorous treatment of the \u003cstrong\u003eergodic theorem\u003c\/strong\u003e (including a complete proof), as well as the lucid chapter on the statistical foundations of thermodynamics, this book is a valuable resource for both teachers and students.\u003c\/p\u003e\n\u003cp\u003eKhinchin’s work has been praised for being clear, concise, and rigorous, making it indispensable for anyone seeking to understand statistical mechanics. Highly recommended by M. Kac in the \u003cem\u003eQuarterly of Applied Mathematics\u003c\/em\u003e, this text is perfect for those interested in gaining a deep and structured understanding of statistical mechanics.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49921251737904,"sku":"Sarat_9780486601472","price":1066.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-mathematical-foundations-of-statistical-mechanics-41235639501104.jpg?v=1775979975","url":"https:\/\/www.retailmaharaj.com\/bn\/products\/mathematical-foundations-of-statistical-mechanics","provider":"Retail Maharaj","version":"1.0","type":"link"}