{"title":"Victor Guillemin","description":"\u003cp\u003eDive into the fascinating world of mathematics with Victor Guillemin. From differential topology to mathematical physics, discover advanced insights from a leading figure. Perfect for students and researchers alike.\u003c\/p\u003e","products":[{"product_id":"differential-topology-book-victor-guillemin-9780821851937","title":"Differential Topology","description":"Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within.   The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea—transversality—the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré–Hopf index theorem, and Stokes theorem.   The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance.   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A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book is concerned with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects). It also has a section describing conformal invariants of these objects, the most interesting being the determinant of a two dimensional \"Floquet operator,\" invented by Paneitz and Segal.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ GARDNERS","offer_id":49730636054801,"sku":"NGR9780691085142","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":50468072620305,"sku":"GOR013789335","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0691085145.jpg?v=1751073603"},{"product_id":"story-of-quantum-mechanics-book-victor-guillemin-9780486428741","title":"The Story of Quantum Mechanics","description":"Written by a renowned MIT mathematician, this introduction to the evolution of quantum physics also explores the subject's philosophical implications. Topics include the development of physics from antiquity onward, research pertaining to elementary particles, and the relationship between physical science and issues of philosophy and religion. 48 illustrations. 1968 edition.","brand":"WoB","offers":[{"title":"US \/ GOOD \/ SBYB","offer_id":49891242082577,"sku":"CIN0486428745G","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50355183288593,"sku":"CIN0486428745VG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ NEW \/ INGRAM","offer_id":51002876428561,"sku":"NIN9780486428741","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ WELL_READ \/ SBYB","offer_id":53370694762769,"sku":"CIN0486428745A","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0486428745.jpg?v=1750879044"},{"product_id":"the-story-of-quantum-mechanics-rare-book-victor-guillemin-1705080218cab","title":"The Story of Quantum Mechanics","description":"1968. 332 pages. Black pictorial paperback. Inscription to front endpaper. Pages are lightly tanned and thumbed at the edges, with light foxing. Binding has remained firm. Corners are dogeared in plac","brand":"WoB","offers":[{"title":"GB \/ GOOD \/ INTERNAL","offer_id":50084512071953,"sku":"1705080218CAB","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1705080218CAB_1.jpg?v=1722919671"},{"product_id":"measure-theory-and-probability-book-malcolm-adams-9780817638849","title":"Measure Theory and Probability","description":"\"…the text is user friendly to the topics it considers and should be very accessible…Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; helpful hints or solution outlines are given with many of the problems. All in all, the text should make a useful reference for professionals and students.\"—The Journal of the American Statistical Association","brand":"WoB","offers":[{"title":"US \/ WELL_READ \/ SBYB","offer_id":50095465103633,"sku":"CIN0817638849A","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50147551838481,"sku":"CIN0817638849G","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52135223460113,"sku":"NLS9780817638849","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/B09KYB5G7L.jpg?v=1751264727"},{"product_id":"semi-classical-analysis-book-victor-guillemin-9781571462763","title":"Semi-Classical Analysis","description":"There are a number of excellent texts available on semi-classical analysis. The focus of the present monograph, however, is an aspect of the subject somewhat less systematically developed in other texts: In semi-classical analysis, many of the basic results involve asymptotic expansions in which the terms can be computed by symbolic techniques, and the focus of this monograph is the “symbol calculus” created thus. In particular, the techniques involved in this symbolic calculus have their origins in symplectic geometry, and the first seven chapters of the present work are a discussion of this underlying symplectic geometry.   Another feature which differentiates this monograph from other texts is an emphasis on the global aspects of the subject: A considerable amount of time is spent here showing that the objects studied are coordinate-invariant and hence make sense on manifolds. Wherever possible, intrinsic coordinate-free descriptions of these objects are given.   Topics discussed include wave and heat trace formulas for globally defined semi-classical differential operators on manifolds, and equivariant versions of these results involving Lie group actions.","brand":"WoB","offers":[{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":50381699514641,"sku":"CIN1571462767VG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/1571462767.jpg?v=1751055915"},{"product_id":"differential-forms-book-victor-guillemin-9789813272774","title":"Differential Forms","description":"\"Guillemin and Haine’s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, the authors emphasize connections between differential forms and topology while making connections to single and multivariable calculus via the change of variables formula, vector space duals, physics; classical mechanisms, div, curl, grad, Brouwer’s fixed-point theorem, divergence theorem, and Stokes’s theorem … The exercises support, apply and justify the developing road map.\"CHOICEThere already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough.The goal of this textbook is to be readable and usable for undergraduates. 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Some of the themes emphasized in the book include the pivotal role of completely integrable systems, the importance of symmetries, analogies between classical dynamics and optics, the importance of symplectic tools in classical variational theory, symplectic features of classical field theories, and the principle of general covariance. This work can be used as a textbook for graduate courses, but the depth of coverage and the wealth of information and application means that it will be of continuing interest to, and of lasting significance for mathematicians and mathematically minded physicists.","brand":"WoB","offers":[{"title":"US \/ NEW \/ INGRAM","offer_id":51003097710865,"sku":"NIN9780521389907","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"GB \/ NEW \/ INGRAM","offer_id":52331460231441,"sku":"NLS9780521389907","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":52494962786577,"sku":"GOR011909596","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/0521389909.jpg?v=1750814598"},{"product_id":"symplectic-fibrations-and-multiplicity-diagrams-book-victor-guillemin-9780521443234","title":"Symplectic Fibrations and Multiplicity Diagrams","description":"Multiplicity diagrams can be viewed as schemes for describing the phenomenon of 'symmetry breaking' in quantum physics. The subject of this book is the multiplicity diagrams associated with the classical groups U(n), O(n), etc. It presents such topics as asymptotic distributions of multiplicities, hierarchical patterns in multiplicity diagrams, lacanae, and the multiplicity diagrams of the rank 2 and rank 3 groups. The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg, including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. 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The authors take a novel approach, using the techniques of symplectic geometry. The book develops in detail some themes which were touched on in the highly successful Symplectic Techniques in Physics by V. Guillemin and S. Sternberg, including the geometry of the moment map, the Duistermaat-Heckman theorem, the interplay between coadjoint orbits and representation theory, and quantization. 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