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Author: Maciej Dunajski
Publisher: Oxford University Press
Published: 2010
Total Pages: 374
ISBN-13: 0198570627
DOWNLOAD EBOOK →A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Author: Professor of Mathematical Physics Maciej Dunajski
Publisher: Oxford University Press
Published: 2024-07-15
Total Pages: 416
ISBN-13: 0198872534
DOWNLOAD EBOOK →The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations.
Author: Pascal Hitzler
Publisher: CRC Press
Published: 2016-04-19
Total Pages: 307
ISBN-13: 1000218724
DOWNLOAD EBOOK →Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.
Author: Roberto Livi
Publisher: Cambridge University Press
Published: 2017-10-05
Total Pages: 439
ISBN-13: 1108364047
DOWNLOAD EBOOK →Statistical mechanics has been proven to be successful at describing physical systems at thermodynamic equilibrium. Since most natural phenomena occur in nonequilibrium conditions, the present challenge is to find suitable physical approaches for such conditions: this book provides a pedagogical pathway that explores various perspectives. The use of clear language, and explanatory figures and diagrams to describe models, simulations and experimental findings makes the book a valuable resource for undergraduate and graduate students, and also for lecturers organizing teaching at varying levels of experience in the field. Written in three parts, it covers basic and traditional concepts of nonequilibrium physics, modern aspects concerning nonequilibrium phase transitions, and application-orientated topics from a modern perspective. A broad range of topics is covered, including Langevin equations, Levy processes, directed percolation, kinetic roughening and pattern formation.
Author: Janos Galambos
Publisher: CRC Press
Published: 2004-07-20
Total Pages: 338
ISBN-13: 1482276631
DOWNLOAD EBOOK →Products of Random Variables explores the theory of products of random variables through from distributions and limit theorems, to characterizations, to applications in physics, order statistics, and number theory. It uses entirely probabilistic arguments in actualizing the potential of the asymptotic theory of products of independent random variab
Author: Heinz Raether
Publisher: Springer
Published: 2006-04-11
Total Pages: 143
ISBN-13: 3540474412
DOWNLOAD EBOOK →The book reviews the properties of surface plasmons that depict electromagnetic surface waves or surface plasma polaritons. Their propagation on smooth and corrugated surfaces (with rough or grating profiles) is considered. In the latter case, the corrugations can cause strong coupling of the surface plasmons with photons leading to resonances with a strong enhancement of the electromagnetic field in the surface. Coupling and field enhancement are the most prominent phenomena on corrugated surfaces and lead to numerous important applications. Attention has been focused on the explanation of the physics. To keep the text readable, sophisticated calculations have been avoided, and instead various applications dealing with enhanced light emission, nonlinear optics, SERS, and other cases of interest are discussed.
Author: Katsumi Nomizu
Publisher: Cambridge University Press
Published: 1994-11-10
Total Pages: 286
ISBN-13: 9780521441773
DOWNLOAD EBOOK →This is a self-contained and systematic account of affine differential geometry from a contemporary viewpoint, not only covering the classical theory, but also introducing the modern developments that have happened over the last decade. In order both to cover as much as possible and to keep the text of a reasonable size, the authors have concentrated on the significant features of the subject and their relationship and application to such areas as Riemannian, Euclidean, Lorentzian and projective differential geometry. In so doing, they also provide a modern introduction to the last. Some of the important geometric surfaces considered are illustrated by computer graphics, making this a physically and mathematically attractive book for all researchers in differential geometry, and for mathematical physicists seeking a quick entry into the subject.
Author: Maciej Dunajski
Publisher: Oxford University Press
Published: 2022-01-27
Total Pages: 177
ISBN-13: 0199683689
DOWNLOAD EBOOK →The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof - deductive reasoning from a set of axioms - first arose. To this day geometry remains a very active area of research in mathematics.This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Starting from the basics,Maciej Dunajski proceeds from concrete examples (of mathematical objects like Platonic solids, or theorems like the Pythagorean theorem) to general principles. Throughout, he outlines the role geometry plays in the broader context of science and art.Very Short Introductions: Brilliant, Sharp, InspiringABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, andenthusiasm to make interesting and challenging topics highly readable.
Author: N.J. Hitchin
Publisher: Oxford University Press, USA
Published: 2013-03-14
Total Pages: 148
ISBN-13: 0199676771
DOWNLOAD EBOOK →Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.
