Differential geometry of curves and surfaces, Banchoff, Thomas F. (brown University, Providence, Rhode Island, Usa) Lovett, Stephen T. (wheaton College, Illinois, Usa)
Старое издание
Автор: Banchoff, Thomas F. Название: Differential Geometry of Curves and Surfaces ISBN: 1482247348 ISBN-13(EAN): 9781482247343 Издательство: Taylor&Francis Цена: 11789.00 р. Наличие на складе: Есть у поставщикаПоставка 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: Berger, Marcel Gostiaux, Bernard Название: Differential geometry: manifolds, curves, and surfaces ISBN: 146126992X ISBN-13(EAN): 9781461269922 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: Umehara Masaaki & Yamada Kotaro Название: Differential Geometry Of Curves And Surfaces ISBN: 9814740233 ISBN-13(EAN): 9789814740234 Издательство: World Scientific Publishing Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject.
Автор: Umehara Masaaki & Yamada Kotaro Название: Differential Geometry Of Curves And Surfaces ISBN: 9814740241 ISBN-13(EAN): 9789814740241 Издательство: World Scientific Publishing Рейтинг: Цена: 6653.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject.
Автор: Shoshichi Kobayashi Название: Differential Geometry of Curves and Surfaces ISBN: 981151738X ISBN-13(EAN): 9789811517389 Издательство: Springer Рейтинг: Цена: 4890.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book is a posthumous publication of a classic by Prof. Shoshichi Kobayashi, who taught at U.C. Berkeley for 50 years, recently translated by Eriko Shinozaki Nagumo and Makiko Sumi Tanaka. There are five chapters: 1. Plane Curves and Space Curves; 2. Local Theory of Surfaces in Space; 3. Geometry of Surfaces; 4. Gauss–Bonnet Theorem; and 5. Minimal Surfaces. Chapter 1 discusses local and global properties of planar curves and curves in space. Chapter 2 deals with local properties of surfaces in 3-dimensional Euclidean space. Two types of curvatures — the Gaussian curvature K and the mean curvature H —are introduced. The method of the moving frames, a standard technique in differential geometry, is introduced in the context of a surface in 3-dimensional Euclidean space. In Chapter 3, the Riemannian metric on a surface is introduced and properties determined only by the first fundamental form are discussed. The concept of a geodesic introduced in Chapter 2 is extensively discussed, and several examples of geodesics are presented with illustrations. Chapter 4 starts with a simple and elegant proof of Stokes’ theorem for a domain. Then the Gauss–Bonnet theorem, the major topic of this book, is discussed at great length. The theorem is a most beautiful and deep result in differential geometry. It yields a relation between the integral of the Gaussian curvature over a given oriented closed surface S and the topology of S in terms of its Euler number ?(S). Here again, many illustrations are provided to facilitate the reader’s understanding. Chapter 5, Minimal Surfaces, requires some elementary knowledge of complex analysis. However, the author retained the introductory nature of this book and focused on detailed explanations of the examples of minimal surfaces given in Chapter 2.
Автор: Sharpe Название: Differential Geometry ISBN: 0387947329 ISBN-13(EAN): 9780387947327 Издательство: Springer Цена: 8378.00 р. 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: 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.
Автор: A`Campo Norbert Название: Topological, Differential and Conformal Geometry of Surfaces ISBN: 3030890317 ISBN-13(EAN): 9783030890315 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces.
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: Kentaro Saji, Kotaro Yamada, Masaaki Umehara Название: Differential Geometry Of Curves And Surfaces With Singularities ISBN: 9811237131 ISBN-13(EAN): 9789811237133 Издательство: World Scientific Publishing Рейтинг: Цена: 19008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides a unique and highly accessible approach to singularity theory from the perspective of differential geometry of curves and surfaces.
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: Lyndon Woodward, John Bolton Название: A First Course in Differential Geometry: Surfaces in Euclidean Space ISBN: 1108424937 ISBN-13(EAN): 9781108424936 Издательство: Cambridge Academ Рейтинг: Цена: 12038.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook covers the classical topics of differential geometry of surfaces as studied by Gauss: the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the Gauss-Bonnet Theorem. It is suitable for upper-level undergraduates and contains plentiful examples and exercises, with solutions to selected problems.
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