Описание: This text, the first of two volumes, provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various kinds of conformal measures, conformal graph directed Markov systems and iterated functions systems, semi-local dynamics of analytic functions, and nice sets. Many examples are included, along with detailed explanations of essential concepts and full proofs, in what is sure to be an indispensable reference for both researchers and graduate students.
Описание: This Book Is Aimed At Graduate Students And Researchers In Physics And Mathematics Who Seek To Understand The Basics Of Supersymmetry From A Mathematical Point Of View. It Provides A Bridge Between The Physical And Mathematical Approaches To The Superworld. The Physicist Who Is Devoted To Learning The Basics Of Supergeometry Can Find A Friendly Approach Here, Since Only The Concepts That Are Strictly Necessary Are Introduced. On The Other Hand, The Mathematician Who Wants To Learn From Physics Will Find That All The Mathematical Assumptions Are Firmly Rooted In Physical Concepts. This May Open Up A Channel Of Communication Between The Two Communities Working On Different Aspects Of Supersymmetry. Starting From Special Relativity And Minkowski Space, The Idea Of Conformal Space And Superspace Is Built Step By Step In A Mathematically Rigorous Way, And Always Connecting With The Ideas And Notation Used In Physics. While The Book Is Mainly Devoted To These Important Physical Examples Of Superspaces, It Can Also Be Used As An Introduction To The Field Of Supergeometry, Where A Reader Can Ease Into The Subject Without Being Overwhelmed With The Technical Difficulties.
Описание: This book gives an authoritative treatment of the Verlinde formula for the dimension of conformal blocks, including a complete proof and the connection to generalized theta functions. It will be of interest to senior graduate students and researchers in geometry, representation theory and theoretical physics.
Автор: J?rg Frauendiener; Helmut Friedrich Название: The Conformal Structure of Space-Times ISBN: 3540442804 ISBN-13(EAN): 9783540442806 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Causal relations, and with them the underlying null cone or conformal structure, form a basic ingredient in all general analytical studies of asymptotically flat space-time. Care has been taken to present the material in a way that will also be accessible to postgraduate students and nonspecialist reseachers from related fields.
Описание: An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals. In the first four acts, Tristan Needham puts the geometry back into differential geometry. Using 235 hand-drawn diagrams, Needham deploys Newton's geometrical methods to provide geometrical explanations of the classical results.
In the fifth act, he offers the first undergraduate introduction to differential forms that treats advanced topics in an intuitive and geometrical manner. Unique features of the first four acts include: four distinct geometrical proofs of the fundamentally important Global Gauss-Bonnet theorem, providing a stunning link between local geometry and global topology; a simple, geometrical proof of Gauss's famous Theorema Egregium; a complete geometrical treatment of the Riemann curvature tensor of an n-manifold; and a detailed geometrical treatment of Einstein's field equation, describing gravity as curved spacetime (General Relativity), together with its implications for gravitational waves, black holes, and cosmology. The final act elucidates such topics as the unification of all the integral theorems of vector calculus; the elegant reformulation of Maxwell's equations of electromagnetism in terms of 2-forms; de Rham cohomology; differential geometry via Cartan's method of moving frames; and the calculation of the Riemann tensor using curvature 2-forms.
Six of the seven chapters of Act V can be read completely independently from the rest of the book. Requiring only basic calculus and geometry, Visual Differential Geometry and Forms provocatively rethinks the way this important area of mathematics should be considered and taught.
Автор: Hariri Parisa, Klйn Riku, Vuorinen Matti Название: Conformally Invariant Metrics and Quasiconformal Mappings ISBN: 3030320677 ISBN-13(EAN): 9783030320676 Издательство: Springer Цена: 16769.00 р. Наличие на складе: Поставка под заказ.
Описание: This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). The authors` approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book.
Автор: Hariri Parisa, Klйn Riku, Vuorinen Matti Название: Conformally Invariant Metrics and Quasiconformal Mappings ISBN: 3030320707 ISBN-13(EAN): 9783030320706 Издательство: Springer Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). The authors` approach is based on the use of metrics, in particular conformally invariant metrics, which will have a key role throughout the whole book.
Автор: A. Svec Название: Global Differential Geometry of Surfaces ISBN: 9027712956 ISBN-13(EAN): 9789027712950 Издательство: Springer Рейтинг: Цена: 18161.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It may be said that almost all results are new and belong to myself (the exceptions being the introductory three chapters, the few classical results and results of my post- graduate student Mr. M.
Автор: Marcel Berger; Silvio Levy; Bernard Gostiaux Название: Differential Geometry: Manifolds, Curves, and Surfaces ISBN: 0387966269 ISBN-13(EAN): 9780387966267 Издательство: Springer Рейтинг: Цена: 10475.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The second part, chapters 10 and 11, is an attempt to remedy the notorious absence in the original book of any treatment of surfaces in three-space, an omission all the more unforgivable in that surfaces are some of the most common geometrical objects, not only in mathematics but in many branches of physics.
Автор: Yekutieli Amnon Название: Nonabelian Multiplicative Integration On Surfaces ISBN: 9814663840 ISBN-13(EAN): 9789814663847 Издательство: World Scientific Publishing Рейтинг: Цена: 9187.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult.
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