Each refining their lecture notes for graduate courses and seminars for many years, Crainic, Fernandes, and Marcut have melded them to provide an introduction to Poisson geometry that contains more material than a single-semester course can cover...Daugiau...
(Išleidimo metai: 30-Jan-2018, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470429508)
Writing in the area of differential geometry at the graduate level, Moore gives foundations for a partial Morse theory of minimal surfaces in Riemannian manifolds. Morse theory, he reminds readers, is concerned with the relationship between the c...Daugiau...
(Išleidimo metai: 01-Aug-2009, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821848159)
This text for graduate students and research mathematicians progresses from differentiable manifolds and the tangent structure through the local Frobenius theorem, covariant derivatives, and Riemannian and semi-Riemannian geometry. An unusual feature...Daugiau...
(Išleidimo metai: 01-Dec-2008, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821847008)
An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in di...Daugiau...
(Išleidimo metai: 30-Jul-2008, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821820032)
This book is an introduction to the fundamentals of differential geometry that covers manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric a...Daugiau...
An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. The latter appears as a limit of a refinement of the discretization. Current interest in d...Daugiau...
(Išleidimo metai: 01-Jan-2007, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821842317)
Used as an analytical method for studying the geometry and topology of manifolds, the study of Ricci flow presumes some background in Riemannian geometry, which the authors review here, along with brief introductions to some general methods of geomet...Daugiau...
(Išleidimo metai: 30-Nov-2006, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821839294)
Russian academics Novikov and Taimanov present the basics of Riemannian geometry in its modern form as the geometry of differentiable manifolds and the most important structures on them. Coverage includes the basics of various geometries in linear sp...Daugiau...
(Išleidimo metai: 15-Sep-2003, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821833759)
Two central methods in Cartans geometry are the theory of exterior differential systems and the method of moving frames. This book presents the treatments of both subjects, including their applications to both classic and contemporary problems. It...Daugiau...
(Išleidimo metai: 30-Nov-2002, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821829516)
This text is based on graduate courses on analysis and differential geometry, covering the topic of differential forms from the perspective of analysis, differential geometry, and mathematical physics. Nine chapters explore differential and integral...Daugiau...
(Išleidimo metai: 30-Sep-2001, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821813928)
A textbook designed to be used in a graduate course on analysis or analytic number theory for mathematics students who have a reasonable knowledge of the theory of functions of a complex variable, and the Riemann mapping theorem, and enough mathemati...Daugiau...
(Išleidimo metai: 30-Jun-2001, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821828489)
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
A ninth printing of Helgasons 1978 textbook and reference published by Academic Press, itself a revision of and sequel to his 1962 Differential Geometry and Symmetric Spaces , based in turn on lectures he gave a the University of Chicago in 1958 an...Daugiau...
A great book ... a necessary item in any mathematical library -S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. -Barrett ONeill, University of Cali...Daugiau...
(Išleidimo metai: 30-Dec-2000, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821827093)
This text for second-year graduate students provides an introduction to differential geometry, with an emphasis on Riemannian geometry. The main theorems are presented in complete detail, but the student is expected to provide the details of certain...Daugiau...
(Išleidimo metai: 30-Nov-2000, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821820568)
A text for graduate students with previous courses in analysis and linear algebra, introducing the idea of the formalism of simplectic forms, the simplectic group, and simplectic manifolds. Demonstrates connections between mathematical objects and th...Daugiau...
(Išleidimo metai: 30-Oct-2000, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821821459)
After background on elliptic equations, Clifford algebras, Dirac operators, and Fredholm theory, chapters introduce solutions of the Seiberg-Witten equations and the group of gauge transformations, then look at algebraic surfaces. A final chapter pre...Daugiau...
(Išleidimo metai: 30-Aug-2000, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821820551)
Based on a one-semester course, Friedrich (Humbolt U., Berlin) introduces the theory of spinors and Dirac operators on Riemannian manifolds. He assumes readers to have a knowledge of algebra and geometry that two or three years study of mathematics o...Daugiau...
