From Riemann to Differential Geometry and Relativity, Ji Lizhen, Papadopoulos Athanase, Yamada Sumio
Автор: Lizhen Ji; Athanase Papadopoulos; Sumio Yamada Название: From Riemann to Differential Geometry and Relativity ISBN: 3319600389 ISBN-13(EAN): 9783319600383 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.
Автор: Javier de Lucas, Cristina Sardon Munoz Название: A Guide to Lie Systems with Compatible Geometric Structures ISBN: 1786346974 ISBN-13(EAN): 9781786346971 Издательство: World Scientific Publishing Рейтинг: Цена: 21384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The book presents a comprehensive guide to the study of Lie systems from the fundamentals of differential geometry to the development of contemporary research topics. It embraces several basic topics on differential geometry and the study of geometric structures while developing known applications in the theory of Lie systems. The book also includes a brief exploration of the applications of Lie systems to superequations, discrete systems, and partial differential equations.
Offering a complete overview from the topic's foundations to the present, this book is an ideal resource for Physics and Mathematics students, doctoral students and researchers.
Автор: Izumiya Shyuichi, Fuster Maria Del Carmen Romero, Ruas Maria Aparecida Soares Название: Differential Geometry from Singularity Theory Viewpoint ISBN: 9814590444 ISBN-13(EAN): 9789814590440 Издательство: World Scientific Publishing Рейтинг: Цена: 19008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'The present book has been enriched by including, in the Notes of each chapter, other aspects and studies on the topics in questions and by providing a wide list of references. The book will be a helpful tool for researchers interested in the field and in particular, in the study of the differential geometry of singular submanifolds of Euclidean and Minkowski spaces.'European Mathematical SocietyDifferential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry of surfaces in Euclidean spaces. The book uses singularity theory to capture some key geometric features of surfaces. It describes the theory of contact and its link with the theory of caustics and wavefronts. It then uses the powerful techniques of these theories to deduce geometric information about surfaces embedded in 3, 4 and 5-dimensional Euclidean spaces. The book also includes recent work of the authors and their collaborators on the geometry of sub-manifolds in Minkowski spaces.
Автор: Ketcheson, David I. Leveque, Randall J. Razo, Mauricio J. Del Название: Riemann problems and jupyter solutions ISBN: 1611976200 ISBN-13(EAN): 9781611976205 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 7712.00 р. Наличие на складе: Нет в наличии.
Описание: This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity.It covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem.The emphasis is on the general ideas, but each chapter delves into a particular application. The book is available in electronic form as a collection of Jupyter notebooks that contain executable computer code and interactive figures and animations.
Описание: The collected works, in German, of the groundbreaking mathematician Bernhard Riemann (1826-66) first appeared in 1876. Included here is his famous 1854 lecture `On the hypotheses which underlie geometry`, which set in motion studies which culminated in Einstein`s general theory of relativity.
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.
Автор: Gunning Robert C. Название: Lectures on Riemann Surfaces: Jacobi Varieties ISBN: 0691619255 ISBN-13(EAN): 9780691619255 Издательство: Wiley Рейтинг: Цена: 5544.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis pres
Автор: Mazur Название: Prime Numbers and the Riemann Hypothesis ISBN: 1107101921 ISBN-13(EAN): 9781107101920 Издательство: Cambridge Academ Рейтинг: Цена: 8395.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces prime numbers and explains the celebrated, unsolved Riemann hypothesis in a direct manner. Suitable for both scholars and those with a minimal mathematical background.
Автор: Dragomir Sorin, Shahid Mohammad Hasan, Al-Solamy Falleh R. Название: Geometry of Cauchy-Riemann Submanifolds ISBN: 9811092834 ISBN-13(EAN): 9789811092831 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Chapter 1. CR-warped submanifolds in Kaehler manifolds.- Chapter 2. CR Submanifolds and -invariants.- Chapter 3. CR Submanifolds of the nearly Kahler 6-sphere.- Chapter 4. CR submanifolds of Hermitian manifolds and the tangential C-R equations.- Chapter 5. CR Submanifolds in (l.c.a.) Kaehler and S-manifolds.- Chapter 6. Lorentzian geometry and CR submanifolds.- Chapter 7. Submanifolds in holomorphic statistical manifolds.- Chapter 8. CR Submanifolds in complex and Sasakian space forms.- Chapter 9. CR-Doubly warped product submanifolds.- Chapter 10. Ideal CR submanifolds.- Chapter 11. Submersions of CR submanifolds.- Chapter 12. CR Submanifolds of semi-Kaehler manifolds.- Chapter 13. Paraquaternionic CR submanifolds.
Описание: The inclusion of several hundred exercises makes this book suitable for a capstone undergraduate Honors class. This second edition contains a significant amount of new material, including a new chapter dedicated to the CR geometry of the unit sphere.
Автор: Jost Jьrgen, Riemann Bernhard Название: On the Hypotheses Which Lie at the Bases of Geometry ISBN: 3319798804 ISBN-13(EAN): 9783319798806 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents William Clifford`s English translation of Bernhard Riemann`s classic text together with detailed mathematical, historical and philosophical commentary.
Автор: Geiges Название: The Geometry of Celestial Mechanics ISBN: 1107125405 ISBN-13(EAN): 9781107125407 Издательство: Cambridge Academ Рейтинг: Цена: 13464.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A geometric introduction to celestial mechanics, for advanced undergraduate and beginning graduate students. This textbook introduces the geometric concepts underlying celestial mechanics and their applications, making it suitable for traditional geometry courses or as supplementary material. Numerous exercises and extensive historical notes also support self-study.
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