{"product_id":"emergence-of-the-theory-of-lie-groups-a-focused-historical","title":"Emergence of the Theory of Lie Groups: A Focused Historical","description":"\u003cp\u003eIn this review of Emergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926, the reviewer finds a focused, scholarly account best suited to readers who want historical context and motivation rather than a comprehensive technical textbook. Thomas Hawkins concentrates on the origins and structural development of \u003cstrong\u003eLie groups\u003c\/strong\u003e, especially the structure and representation of semisimple groups, making this work valuable for historians of mathematics and advanced students seeking conceptual insight into why the theory evolved as it did.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eFocused scope:\u003c\/strong\u003e Emphasizes the origins and structural aspects of Lie theory, which clarifies how key ideas emerged between 1869 and 1926.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eHistorical context:\u003c\/strong\u003e Pays close attention to the mathematical and physical motivations that influenced individual mathematicians and schools of thought.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eStructural emphasis:\u003c\/strong\u003e Concentrates on the structure and representation of semisimple groups to trace the backbone of modern Lie theory.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eInterpretive approach:\u003c\/strong\u003e Explores disciplinary ideals and research directions, helping readers understand why certain problems attracted attention.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eSelective treatment:\u003c\/strong\u003e Avoids an exhaustive survey so the narrative stays coherent and concentrated on the most historically significant developments.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThis book is ideal for historians of mathematics, graduate students in mathematics or physics interested in the intellectual development of \u003cstrong\u003eLie theory\u003c\/strong\u003e, and scholars who want detailed accounts of motivation and disciplinary context. It is particularly useful when one seeks to understand how structural and representational ideas became central to the field.\u003c\/p\u003e\n\u003cp\u003eReaders looking for a complete textbook treatment, step-by-step proofs of every result, or an exhaustive technical reference should look elsewhere; the author intentionally limits scope to highlight historical motivation and the evolution of core structural ideas.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eClear focus on the origins and development of key concepts provides strong historical perspective.\u003c\/li\u003e\n\u003cli\u003eEmphasis on motivation and disciplinary context illuminates why mathematicians pursued particular lines of inquiry.\u003c\/li\u003e\n\u003cli\u003eDetailed treatment of semisimple groups and their representations connects historical narrative to central modern themes in the subject.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eNot an exhaustive technical reference, so readers seeking full coverage of all aspects of Lie theory may find it limited.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eEmergence of the Theory of Lie Groups: An Essay in the History of Mathematics 1869-1926\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor\u003c\/td\u003e\n\u003ctd\u003eThomas Hawkins\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFocus period\u003c\/td\u003e\n\u003ctd\u003e1869-1926\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eMain topics\u003c\/td\u003e\n\u003ctd\u003eOrigins, structure and representation of semisimple groups\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApproach\u003c\/td\u003e\n\u003ctd\u003eHistorical and motivational, selective rather than exhaustive\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eSources and Studies in the History of Mathematics and Physical Sciences\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eFor readers who want a historically grounded, conceptually rich account of how \u003cstrong\u003eLie groups\u003c\/strong\u003e developed, Thomas Hawkins offers good value: the book illuminates motivations and structural advances that shaped modern theory. It is recommended for historians and advanced students, though not as a substitute for a comprehensive technical textbook.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eDoes this book cover technical proofs?\u003c\/strong\u003e\u003cbr\u003eThe book focuses on historical development and motivation rather than presenting exhaustive technical proofs.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eIs this suitable for beginners?\u003c\/strong\u003e\u003cbr\u003eIt is best for readers with some background in mathematics or interest in history of mathematics; complete beginners may find the subject matter demanding.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWhat period does the book examine?\u003c\/strong\u003e\u003cbr\u003eThe work examines the development of Lie group theory between 1869 and 1926, with emphasis on structural and representational advances.\u003c\/p\u003e","brand":"Thomas Hawkins","offers":[{"title":"Default Title","offer_id":48675361390811,"sku":"1461270421","price":174.83,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61bUpWxwWsL._SL1255.jpg?v=1778711762","url":"https:\/\/gearmusthave.com\/products\/emergence-of-the-theory-of-lie-groups-a-focused-historical","provider":"GearMustHave","version":"1.0","type":"link"}