Author: Cdric Villani
Publisher: American Mathematical Soc.
ISBN: 0821844989
Category : Mathematics
Languages : en
Pages : 154
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Book Description
This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\frac{\partial f}{\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by exploiting commutators.
Author: F. R. Cohen
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501
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Book Description
Author: Rene Thom
Publisher: CRC Press
ISBN: 042996157X
Category : Mathematics
Languages : en
Pages : 404
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Book Description
First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.
Author: Glen E. Bredon
Publisher: Springer Science & Business Media
ISBN: 0387979263
Category : Mathematics
Languages : en
Pages : 580
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Book Description
This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
Author: Wolfgang Arendt
Publisher: John Wiley & Sons
ISBN: 3527628037
Category : Science
Languages : en
Pages : 502
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Book Description
Mathematical Analysis of Evolution, Information, and Complexity deals with the analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science, this text covers a broad range of problems including diffusion processes, neuronal networks, quantum theory and cosmology. Bringing together a wide collection of research in mathematics, information theory, physics and other scientific and technical areas, this new title offers elementary and thus easily accessible introductions to the various fields of research addressed in the book.
Author: Kunio Murasugi
Publisher: Springer Science & Business Media
ISBN: 0817647198
Category : Mathematics
Languages : en
Pages : 348
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Book Description
This book introduces the study of knots, providing insights into recent applications in DNA research and graph theory. It sets forth fundamental facts such as knot diagrams, braid representations, Seifert surfaces, tangles, and Alexander polynomials. It also covers more recent developments and special topics, such as chord diagrams and covering spaces. The author avoids advanced mathematical terminology and intricate techniques in algebraic topology and group theory. Numerous diagrams and exercises help readers understand and apply the theory. Each chapter includes a supplement with interesting historical and mathematical comments.
Author: Nigel Allinson
Publisher: Springer Science & Business Media
ISBN: 1447107152
Category : Mathematics
Languages : en
Pages : 299
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Book Description
Author: Ib H. Madsen
Publisher: Cambridge University Press
ISBN: 9780521589567
Category : Mathematics
Languages : en
Pages : 302
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Book Description
An introductory textbook on cohomology and curvature with emphasis on applications.
Author: Gurbinder Kaur
Publisher: Springer
ISBN: 3319255983
Category : Technology & Engineering
Languages : en
Pages : 421
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Book Description
This book examines the various interfacial reactions that take place when glass seals come into contact with components of SOFCs in reducing and oxidizing conditions. In developing an understanding of the structure and function of SOFCs, interfacial compatibility is an imperative criterion. This book addresses the technical challenges of developing sealants to avoid leakage losses at high operating temperatures, which are profoundly impactful to the efficiency of the fuel cell. This resource is important for anyone working with or studying fuel cell design and development, and is a pivotal source of cutting-edge information for research groups actively engaged in developing hermetic and stable seals which show minimum interfacial chemical reaction with interconnect and electrolyte.
Author: Cécile Dewitt-Morette
Publisher: Springer Science & Business Media
ISBN: 1489903194
Category : Science
Languages : en
Pages : 436
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Book Description
The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.
