Differential Function Spectra, the Differential Becker-Gottlieb Transfer, and Applications to Differential Algebraic $K$-Theory, David Gepner, Ulrich Bunke
Автор: Sharpe Название: Differential Geometry ISBN: 0387947329 ISBN-13(EAN): 9780387947327 Издательство: Springer Цена: 55850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and
conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections.
Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what
Cartan did, which was to give a notion of "espaces generalises" (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian
geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry.
Автор: Needham Tristan Название: Visual Differential Geometry and Forms: A Mathematical Drama in Five Acts ISBN: 0691203709 ISBN-13(EAN): 9780691203706 Издательство: Wiley Рейтинг: Цена: 44350.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Lorenzo Название: The Fractional Trigonometry - With Applications to Fractional Differential Equations and Science ISBN: 1119139406 ISBN-13(EAN): 9781119139409 Издательство: Wiley Рейтинг: Цена: 124550.00 T Наличие на складе: Поставка под заказ. Описание: Classical trigonometry plays a very important role relative to integer order calculus, and together with the common exponential function, provides solutions for linear differential equations.
Автор: Maitine Bergounioux, Gabriel Peyr?, Christoph Schn Название: Variational Methods: In Imaging and Geometric Control ISBN: 3110439239 ISBN-13(EAN): 9783110439236 Издательство: Walter de Gruyter Рейтинг: Цена: 173490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents:Part ISecond-order decomposition model for image processing: numerical experimentationOptimizing spatial and tonal data for PDE-based inpaintingImage registration using phase?amplitude separationRotation invariance in exemplar-based image inpaintingConvective regularization for optical flowA variational method for quantitative photoacoustic tomography with piecewise constant coefficientsOn optical flow models for variational motion estimationBilevel approaches for learning of variational imaging modelsPart IINon-degenerate forms of the generalized Euler?Lagrange condition for state-constrained optimal control problemsThe Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controlsControllability of Keplerian motion with low-thrust control systemsHigher variational equation techniques for the integrability of homogeneous potentialsIntroduction to KAM theory with a view to celestial mechanicsInvariants of contact sub-pseudo-Riemannian structures and Einstein?Weyl geometryTime-optimal control for a perturbed Brockett integratorTwist maps and Arnold diffusion for diffeomorphismsA Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part IIndex
Автор: Long Yiming Et Al Название: Emerging Topics On Differential Equations And Their Applications - Proceedings On Sino-Japan Conference Of Young Mathematicians ISBN: 9814449741 ISBN-13(EAN): 9789814449748 Издательство: World Scientific Publishing Рейтинг: Цена: 111930.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.The topics discussed in this proceedings include mean curvature flows, KAM theory, N-body problems, flows on Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems.
Автор: Nail H. Ibragimov Название: Tensors and Riemannian Geometry: With Applications to Differential Equations ISBN: 311037949X ISBN-13(EAN): 9783110379495 Издательство: Walter de Gruyter Рейтинг: Цена: 68120.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is based on the experience of teaching the subject by the author in Russia, France, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics on tensors, Riemannian geometry and geometric approach to partial differential equations. Application of approximate transformation groups to the equations of general relativity in the de Sitter space simplifies the subject significantly.
Автор: Yoshiaki Maeda; Hitoshi Moriyoshi; Hideki Omori; D Название: Noncommutative Differential Geometry and Its Applications to Physics ISBN: 0792369300 ISBN-13(EAN): 9780792369301 Издательство: Springer Рейтинг: Цена: 148010.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains the proceedings of the international symposium on commutative differential geometry and its applications to physics held in Japan, in July 1999. Designed for a seminar in noncommutative geometry and physics, this title covers topics such as deformation problems, Poisson groupoids, operad theory, quantization problems, and D-branes.
Автор: Yoshiaki Maeda; Hitoshi Moriyoshi; Hideki Omori; D Название: Noncommutative Differential Geometry and Its Applications to Physics ISBN: 9401038295 ISBN-13(EAN): 9789401038294 Издательство: Springer Рейтинг: Цена: 121890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proceedings of the Workshop at Shonan, Japan, June 1999
Автор: Jianhong Wu Название: Theory and Applications of Partial Functional Differential Equations ISBN: 1461284791 ISBN-13(EAN): 9781461284796 Издательство: Springer Рейтинг: Цена: 153720.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns.
Автор: Luigi Rodino; M. W. Wong; Hongmei Zhu Название: Pseudo-Differential Operators: Analysis, Applications and Computations ISBN: 3034803230 ISBN-13(EAN): 9783034803236 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Based on the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London, this volume provides pseudo-differential operators. Topics include the analysis, applications and computations of pseudo-differential operators in mathematics.
Автор: Khrennikov, Andrei Yu. (linneuniversitetet, Sweden) Kozyrev, Sergei V. (steklov Institute Of Mathematics, Moscow) Zuniga-galindo, W. A. (instituto Pol Название: Ultrametric pseudodifferential equations and applications ISBN: 1107188822 ISBN-13(EAN): 9781107188822 Издательство: Cambridge Academ Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents the state of the art of ultrametric pseudodifferential equations, relevant not only in mathematics but also in fields such as engineering, geophysics, and physics. Results previously scattered across many diverse journals are usefully consolidated here alongside novel ideas and applications.
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:
ODE theory;
Maximum Principles (weak, strong and propagation principles);
Lie groups (with an emphasis on the construction of Lie groups).
This book also provides an introduction to the basic theory of Geometrical Analysis, with a new foundational presentation based on Ordinary Differential Equation techniques, in a unitary and self-contained way.
The book also contains:
58 figures;
182 exercises;
3 Appendices;
a Further Reading section.
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