{"product_id":"affine-differential-geometry-geometry-of-affine-immersions","title":"Affine Differential Geometry: Geometry of Affine Immersions","description":"\u003cp\u003eIn this review of Affine Differential Geometry: Geometry of Affine Immersions the bottom line is clear: this is a specialist, self-contained textbook aimed at graduate students and researchers who need a systematic modern account of affine differential geometry. The book's chief selling point is its combination of classical foundations with developments of the past decade, presented in a way that connects to Riemannian, Euclidean, Lorentzian and projective differential geometry. Readers looking for rigorous theory with illustrative computer graphics will find the material especially valuable.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eSelf-contained exposition:\u003c\/strong\u003e The text builds the subject from foundational principles so a reader with background in differential geometry can follow without chasing many external sources.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eModern developments included:\u003c\/strong\u003e The authors incorporate progress from the recent decade to give a contemporary perspective rather than a purely classical treatment.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eConnections to related geometries:\u003c\/strong\u003e Frequent discussion of Riemannian, Euclidean, Lorentzian and projective differential geometry helps place affine results in a broader context.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFocused selection of topics:\u003c\/strong\u003e The authors concentrate on significant features and their relationships, making it easier to see how ideas interrelate.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eIllustrative computer graphics:\u003c\/strong\u003e Several important geometric surfaces are visualized with computer graphics to aid geometric intuition.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eSystematic organization:\u003c\/strong\u003e Material is presented in a logical order that supports both learning and reference use by researchers.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003eThe book is primarily for graduate students in mathematics, and for researchers in differential geometry who want a rigorous, contemporary treatment of affine immersions and related topics. It suits readers who already have a working knowledge of basic differential geometry and want to see how affine techniques interface with Lorentzian and projective settings.\u003c\/p\u003e\n\u003cp\u003eIt is less suitable for casual readers or beginners without prior exposure to manifold theory and curvature, and those seeking a problem-driven introductory textbook with minimal theory may prefer more elementary treatments before tackling this volume.\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\u003eComprehensive, self-contained presentation makes it a reliable reference for specialists.\u003c\/li\u003e\n\u003cli\u003eInclusion of modern results updates classical material and highlights recent progress.\u003c\/li\u003e\n\u003cli\u003eClear links to Riemannian, Euclidean, Lorentzian and projective geometry broaden its usefulness.\u003c\/li\u003e\n\u003cli\u003eComputer graphics illustrations aid visualization of important geometric surfaces.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eThe material assumes solid background in differential geometry, so it is not introductory for novices.\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\u003eAffine Differential Geometry: Geometry of Affine Immersions\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eCambridge Tracts in Mathematics, Series Number 111\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eKatsumi Nomizu, Takeshi Sasaki\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eClassical theory and modern developments of the past decade\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSubject areas\u003c\/td\u003e\n\u003ctd\u003eAffine, Riemannian, Euclidean, Lorentzian and projective differential geometry\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eIllustrations\u003c\/td\u003e\n\u003ctd\u003eComputer graphics of important geometric surfaces\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eThis is a well-structured, authoritative account of affine differential geometry that rewards readers with prior geometric training. Graduate students and active researchers will appreciate the blend of classical foundations and recent developments, plus the helpful computer graphics; it is good value as a long-term reference for anyone working at the intersection of affine and related geometries.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIs this book suitable for self-study?\u003c\/strong\u003e\u003cbr\u003eYes, it is self-contained and organized for independent reading, but best for readers with existing knowledge of differential geometry.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes it cover modern results?\u003c\/strong\u003e\u003cbr\u003eYes, the authors include developments from the past decade alongside the classical theory.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eAre there visual aids?\u003c\/strong\u003e\u003cbr\u003eYes, several important geometric surfaces are illustrated by computer graphics to support understanding.\u003c\/p\u003e","brand":"Katsumi Nomizu, Takeshi Sasaki","offers":[{"title":"Default Title","offer_id":48247137534171,"sku":"0521441773","price":142.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/41z-ALlR41L._SL1000.jpg?v=1770806798","url":"https:\/\/gearmusthave.com\/products\/affine-differential-geometry-geometry-of-affine-immersions","provider":"GearMustHave","version":"1.0","type":"link"}