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.
This volume contains original papers and announcements of recent results presented by the main participants of the 5th International Colloquium on Differential Geometry and its Related Fields (ICDG2016). These articles are devoted to some new developments on geometric structures on manifolds. Besides covering a broad overview on geometric structures, this volume provides significant information for researchers not only in the field of differential geometry but also in mathematical physics. Since each article is accompanied with detailed explanations, it serves as a good guide for young scientists working in this area.
This volume contains papers by the main participants in the meeting of the 6th International Colloquium on Differential Geometry and its Related Fields (ICDG2018).
The volume consists of papers devoted to the study of recent topics in geometric structures on manifolds -- which are related to complex analysis, symmetric spaces and surface theory -- and also in discrete mathematics.
Thus, it presents a broad overview of differential geometry and provides up-to-date information to researchers and young scientists in this field, and also to those working in the wide spectrum of mathematics.
Автор: Adachi Toshiaki Et Al Название: Recent Progress In Differential Geometry And Its Related Fields - Proceedings Of The 2Nd International Colloquium On Differential Geometry And Its Related Fields ISBN: 9814355461 ISBN-13(EAN): 9789814355469 Издательство: World Scientific Publishing Рейтинг: Цена: 85530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), that was held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications.
Автор: Adachi Toshiaki Et Al Название: Prospects Of Differential Geometry And Its Related Fields - Proceedings Of The 3Rd International Colloquium On Differential Geometry And Its Related Fields ISBN: 981454180X ISBN-13(EAN): 9789814541800 Издательство: World Scientific Publishing Цена: 100320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent developments in the fields of differential geometry, complex analysis, information geometry, mathematical physics and coding theory. This volume provides significant information that will be useful to researchers and serves as a good guide for young scientists. It is also for those who wish to start investigating these topics and interested in their interdisciplinary areas.
Автор: Maeda Sadahiro Et Al Название: Differential Geometry Of Submanifolds And Its Related Topics - Proceedings Of The International Workshop In Honor Of S Maeda`S 60Th Birthday ISBN: 9814566276 ISBN-13(EAN): 9789814566278 Издательство: World Scientific Publishing Цена: 111930.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory. It also contains new results or brief surveys in these areas. This volume provides fundamental knowledge to readers (such as differential geometers) who are interested in the theory of real hypersurfaces in a non-flat complex space form.
Автор: Naichung Conan Leung, Shing-Tung Yau Название: Surveys in Differential Geometry, Vol. 16 (2011): Geometry of Special Holonomy and Related Topics ISBN: 1571462112 ISBN-13(EAN): 9781571462114 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74850.00 T Наличие на складе: Невозможна поставка. Описание: Includes coverage of gauge theory in higher dimensions; an invitation to toric degenerations; lectures on generalized geometry; generalized Donaldson-Thomas invariants; geometric structures on Riemannian manifolds; Sasaki-Einstein manifolds; and a survey of geometric structure in geometric analysis.
Автор: Geir Ellingsrud; Mark Gross; Daniel Huybrechts; Lo Название: Calabi-Yau Manifolds and Related Geometries ISBN: 3540440593 ISBN-13(EAN): 9783540440598 Издательство: Springer Рейтинг: Цена: 69870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Proofs or sketches are given for many important results.From the reviews:"An excellent introduction to current research in the geometry of Calabi-Yau manifolds, hyper-Kahler manifolds, exceptional holonomy and mirror symmetry....This is an excellent and useful book."
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.
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.
Автор: Rudolph Gerd, Schmidt Matthias Название: Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields ISBN: 9402414495 ISBN-13(EAN): 9789402414493 Издательство: Springer Рейтинг: Цена: 232910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Fibre bundles and connections.- Linear connections and Riemannian geometry.- Homotopy theory of principal fibre bundles. Classification.- Cohomology theory of fibre bundles. Characteristic classes.- Clifford algebras, spin structures and Dirac operators.- The Yang-Mills equation.- Matter fields and model building.- The gauge orbit space.- Elements of quantum gauge theory.- A Field restriction and field extension.- B The Conformal Group of the 4-sphere.- C Simple Lie algebras. Root diagrams.- D z -function regularization.- E K-theory and index bundles.- F Determinant line bundles.- G Eilenberg-MacLane spaces.- References. Index.
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