Автор: Dray, Tevian Название: The Geometry of Special Relativity ISBN: 1138063924 ISBN-13(EAN): 9781138063921 Издательство: Taylor&Francis Цена: 8114.00 р. Наличие на складе: Есть у поставщикаПоставка под заказ. Описание: The book treats the geometry of hyperbolas as the key to understanding special relativity. The author simplifies the formulas and emphasizes their geometric content. Prior mastery of (ordinary) trigonometry is sufficient for most of the material presented.
Автор: James J. Callahan Название: The Geometry of Spacetime ISBN: 1441931422 ISBN-13(EAN): 9781441931429 Издательство: Springer Рейтинг: Цена: 8487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein`s general relativity theory.
Автор: Godinho Leonor Название: Introduction to Riemannian Geometry ISBN: 3319086650 ISBN-13(EAN): 9783319086651 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature.
Автор: Jose Natario Название: General Relativity Without Calculus ISBN: 3642270506 ISBN-13(EAN): 9783642270505 Издательство: Springer Рейтинг: Цена: 9141.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Requiring only basic knowledge of high school mathematics and physics, this volume offers a concise introduction to the general theory of relativity. The text presents the fundamentals of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, and more.
This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. The premise of analogy as a study strategy is to make the unfamiliar familiar. Accordingly, this book introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Gyrovectors turn out to be equivalence classes that add according to the gyroparallelogram law just as vectors are equivalence classes that add according to the parallelogram law. In the gyrolanguage of this book, accordingly, one prefixes a gyro to a classical term to mean the analogous term in hyperbolic geometry. As an example, the relativistic gyrotrigonometry of Einstein's special relativity is developed and employed to the study of the stellar aberration phenomenon in astronomy.
Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. It turns out that the invariant mass of the relativistic center of mass of an expanding system (like galaxies) exceeds the sum of the masses of its constituent particles. This excess of mass suggests a viable mechanism for the formation of dark matter in the universe, which has not been detected but is needed to gravitationally "glue" each galaxy in the universe. The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying hyperbolic geometry.
Автор: Joachim Schroter Название: Minkowski Space: The Spacetime of Special Relativity ISBN: 3110484579 ISBN-13(EAN): 9783110484571 Издательство: Walter de Gruyter Цена: 16727.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In Minkowski-Space the space-time of special relativity is discussed on the basis of fundamental results of space-time theory. This idea has the consequence that the Minkowski-space can be characterized by 5 axioms, which determine its geometrical and kinematical structure completely. In this sense Minkowski-Space is a prolegomenon for the formulation of other branches of special relativity, like mechanics, electrodynamics, thermodynamics etc. But these applications are not subjects of this book. Contents Basic properties of special relativityFurther properties of Lorentz matricesFurther properties of Lorentz transformationsDecomposition of Lorentz matrices and Lorentz transformationsFurther structures on MsTangent vectors in MsOrientationKinematics on MsSome basic notions of relativistic theories
Автор: Gregory L. Naber Название: The Geometry of Minkowski Spacetime ISBN: 1493902415 ISBN-13(EAN): 9781493902415 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman's characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology for Minkowski spacetime whose homeomorphism group is essentially the Lorentz group, and a careful discussion of Dirac's famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. This second edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presence of gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recent astronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a knowledge of linear algebra in the first three chapters, a bit of real analysis in the fourth and, in two appendices, some elementary point-set topology.
The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title.
Reviews of first edition:
"... a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics and physics." (American Mathematical Society, 1993)
"Where many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations." (CHOICE, 1993)
"... his talent in choosing the most significant results and ordering them within the book can't be denied. The reading of the book is, really, a pleasure." (Dutch Mathematical Society, 1993)
Автор: Luscombe, James H. Название: Core principles of special and general relativity ISBN: 1138542946 ISBN-13(EAN): 9781138542945 Издательство: Taylor&Francis Рейтинг: Цена: 13779.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an accessible yet thorough, introduction to special and general relativity, crafted and class-tested over many years of teaching. It is suitable for advanced undergraduate and graduate students.
Автор: Helmut Gu?nther Название: Elementary Approach to Special Relativity ISBN: 9811531676 ISBN-13(EAN): 9789811531675 Издательство: Springer Рейтинг: Цена: 25155.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents an alternative representation of Einstein`s Special Theory of Relativity, which makes Special Relativity much more comprehensible. In all previous formulations, the Einsteinian special principle of relativity, in one or the other form is used as the starting point for Special Relativity.
Описание: This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).
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: Oloff Название: The Geometry of Spacetime ISBN: 3031161386 ISBN-13(EAN): 9783031161384 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.
Название: Asymptotic analysis in general relativity ISBN: 1316649407 ISBN-13(EAN): 9781316649404 Издательство: Cambridge Academ Рейтинг: Цена: 13147.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume compiles notes from courses given at the summer school on asymptotic analysis in general relativity, held at the Institut Fourier in Grenoble, France. It provides an up-to-date panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity.
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