A First Course in Differential Geometry: Surfaces in Euclidean Space, Lyndon Woodward, John Bolton
Автор: Mark Hagen, Richard Webb, Henry Wilton Название: Beyond Hyperbolicity ISBN: 1108447295 ISBN-13(EAN): 9781108447294 Издательство: Cambridge Academ Рейтинг: Цена: 10771.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on generalisations of Gromov hyperbolicity in geometric group theory. Five self-contained expository articles introduce topics `beyond hyperbolicity`: these can be used as an introduction for students or as a reference for experts. The final part contains research articles on the latest results in this rich and active field.
Автор: Abe Shenitzer; Boris A. Rosenfeld; Hardy Grant Название: A History of Non-Euclidean Geometry ISBN: 0387964584 ISBN-13(EAN): 9780387964584 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Investigates the mathematical and philosophical factors underlying the discovery of the concept of noneuclidean geometries, and the subsequent extension of the concept of space. This book covers the evolution of the concept of space. It describes the discovery of noneuclidean geometry, and the corresponding broadening of the concept of space.
Автор: G.E. Martin Название: The Foundations of Geometry and the Non-Euclidean Plane ISBN: 0387906940 ISBN-13(EAN): 9780387906942 Издательство: Springer Рейтинг: Цена: 8378.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Suitable for junior, senior, and first-year graduate courses. This work interweaves historical material with a rigorous ruler - and protractor axiomatic development of the Euclidean and hyperbolic planes. It also includes topics such as axiom systems for three and four dimensional absolute geometry, and Pieri`s system based on rigid motions.
Автор: Woodward Lyndon Название: First Course in Differential Geometry ISBN: 1108441025 ISBN-13(EAN): 9781108441025 Издательство: Cambridge Academ Рейтинг: Цена: 5702.00 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.
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: 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: Dundas Bjшrn Ian Название: Short Course in Differential Topology ISBN: 1108425798 ISBN-13(EAN): 9781108425797 Издательство: Cambridge Academ Рейтинг: Цена: 7445.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book offers a concise and modern introduction to differential topology, the study of smooth manifolds and their properties, at the advanced undergraduate/beginning graduate level. The treatment throughout is hands-on, including many concrete examples and exercises woven into the text with hints provided to guide the student.
Описание: Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century. Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash. Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.
Автор: Chen Bang-yen Название: Differential Geometry Of Warped Product Manifolds And Submanifolds ISBN: 9813208929 ISBN-13(EAN): 9789813208926 Издательство: World Scientific Publishing Рейтинг: Цена: 26136.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry -- except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.
The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.
The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.
The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.
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