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 #  AuthorTitleAccn#YearItem Type Claims
1 Dierck-Ekkehard Liebscher Geometry of time OB1822 2005 eBook  
2 Dribus, Benjamin F Discrete Causal Theory I10462 2017 eBook  
3 Graf-Grossmann, Claudia Marcel Grossmann I09808 2018 eBook  
4 Landi, Giovanni Linear Algebra and Analytic Geometry for Physical Sciences I09687 2018 eBook  
5 Osterhage, Wolfgang Johannes Kepler I08807 2020 eBook  
6 Lionni, Luca Colored Discrete Spaces I08748 2018 eBook  
7 Vozmischeva, T.G Integrable Problems of Celestial Mechanics in Spaces of Constant Curvature I11314 2003 eBook  
8 Morawiec, Adam Orientations and Rotations I11250 2004 eBook  
9 Cotsakis, Spiros Mathematical and Quantum Aspects of Relativity and Cosmology I11099 2000 eBook  
10 Mecke, Klaus R Statistical Physics and Spatial Statistics I11086 2000 eBook  
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1.    
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TitleGeometry of time
Author(s)Dierck-Ekkehard Liebscher
PublicationVerlag, John Wiley and Sons, 2005.
Abstract NoteA description of the geometry of space-time with all the questions and issues explained without the need for formulas. As such, the author shows that this is indeed geometry, with actual constructions familiar from Euclidean geometry, and which allow exact demonstrations and proofs. The formal mathematics behind these constructions is provided in the appendices. The result is thus not a textbook introducing readers to the theory of special relativity so they may calculate formally, but rather aims to show the connection with synthetic geometry. It presents the relation to projective geometry and uses this to illustrate the starting points of general relativity. Written at an introductory level for undergraduates, this novel presentation will also benefit teaching staff.
ISBN,Price9783527405671 : $ 145.00(Online)
Keyword(s)1. EBOOK 2. EBOOK - WILEY 3. GEOMETRIES OF THE PLAN 4. GEOMETRY 5. RELATIVITY THEORY 6. SPACE AND TIME
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2.     
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TitleDiscrete Causal Theory : Emergent Spacetime and the Causal Metric Hypothesis
Author(s)Dribus, Benjamin F
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXXX, 558 p. 154 illus : online resource
Abstract NoteThis book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics. Spacetime structure is of central importance to physics beyond general relativity and the standard model. The causal metric hypothesis treats causal relations as the basis of this structure. The book develops the consequences of this hypothesis under the assumption of a fundamental scale, with smooth spacetime geometry viewed as emergent. This approach resembles causal set theory, but differs in important ways; for example, the relative viewpoint, emphasizing relations between pairs of events, and relationships between pairs of histories, is central. The book culminates in a dynamical law for quantum spacetime, derived via generalized path summation
ISBN,Price9783319500836
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. COSMOLOGY 3. EBOOK 4. EBOOK - SPRINGER 5. GEOMETRY 6. GRAVITATION 7. TOPOLOGY
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3.     
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TitleMarcel Grossmann : For the Love of Mathematics
Author(s)Graf-Grossmann, Claudia
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXVIII, 263 p. 91 illus., 1 illus. in color : online resource
Abstract NoteZurich, summer 1912. Albert Einstein has just returned from Prague to the city on the Limmat. He sends a plea for help to his former fellow student, the mathematician Marcel Grossmann (1878-1936), for he is in need of assistance with the mathematical calculations of his general theory of relativity. What then follows is one of the most fascinating chapters of science history, with far-reaching consequences for the lives of the two friends. Marcel Grossmann???s granddaughter paints here a picture of a fiery and many-talented scientist and patriot. She traces the influence of an entrepreneurial family during Germany???s rapid industrial expansion in the late 19th century. The family???s fluctuating fortunes take the story to the vibrant city of Budapest on the Danube; they enable readers to sense the pioneering spirit at Zurich???s young Polytechnic Institute (now ETH Zurich) ??? but also reflect the worries and hardships of the First World War and interwar years. The Foreword is written by Prof. Remo Ruffini, founder and president of the International Center for Relativistic Astrophysics and the Marcel Grossmann Meetings. Last but not least, an extensive contribution by Dr. Tilman Sauer offers a scientific-historical appreciation of Marcel Grossmann???s enduring contributions
ISBN,Price9783319900773
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. Europe, Central???History 5. GEOMETRY 6. GRAVITATION 7. History and Philosophical Foundations of Physics 8. History of Germany and Central Europe 9. MATHEMATICS 10. PHYSICS 11. Popular Science in Mathematics 12. Popular Science in Physics
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4.     
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TitleLinear Algebra and Analytic Geometry for Physical Sciences
Author(s)Landi, Giovanni;Zampini, Alessandro
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXII, 345 p : online resource
Abstract NoteA self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections. The mathematical formalism is motivated and introduced by problems from physics, notably mechanics (including celestial) and electro-magnetism, with more than two hundreds examples and solved exercises. Topics include: The group of orthogonal transformations on euclidean spaces, in particular rotations, with Euler angles and angular velocity. The rigid body with its inertia matrix. The unitary group. Lie algebras and exponential map. The Dirac???s bra-ket formalism. Spectral theory for self-adjoint endomorphisms on euclidean and hermitian spaces. The Minkowski spacetime from special relativity and the Maxwell equations. Conic sections with the use of eccentricity and Keplerian motions. An appendix collects basic algebraic notions like group, ring and field; and complex numbers and integers modulo a prime number. The book will be useful to students taking a physics or engineer degree for a basic education as well as for students who wish to be competent in the subject and who may want to pursue a post-graduate qualification
ISBN,Price9783319783611
Keyword(s)1. ALGEBRA 2. APPLIED MATHEMATICS 3. Computer science???Mathematics 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. GEOMETRY 8. Linear and Multilinear Algebras, Matrix Theory 9. Math Applications in Computer Science 10. Mathematical and Computational Engineering 11. Mathematical Applications in the Physical Sciences 12. Mathematical Methods in Physics 13. MATHEMATICAL PHYSICS 14. MATRIX THEORY 15. PHYSICS
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5.     
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TitleJohannes Kepler : The Order of Things
Author(s)Osterhage, Wolfgang
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionIX, 132 p. 24 illus., 10 illus. in color : online resource
Abstract NoteThis book traces the development of Kepler???s ideas along with his unsteady wanderings in a world dominated by religious turmoil. Johannes Kepler, like Galileo, was a supporter of the Copernican heliocentric world model. From an early stage, his principal objective was to discover ???the world behind the world???, i.e. to identify the underlying order and the secrets that make the world function as it does: the hidden world harmony. Kepler was driven both by his religious belief and Greek mysticism, which he found in ancient mathematics. His urge to find a construct encompassing the harmony of every possible aspect of the world ??? including astronomy, geometry and music ??? is seen as a manifestation of a deep human desire to bring order to the apparent chaos surrounding our existence. This desire continues to this day as we search for a theory that will finally unify and harmonise the forces of nature
ISBN,Price9783030468583
Keyword(s)1. ASTRONOMY 2. Astronomy, Astrophysics and Cosmology 3. ASTROPHYSICS 4. EBOOK 5. EBOOK - SPRINGER 6. GEOMETRY 7. History and Philosophical Foundations of Physics 8. PHYSICS 9. Popular Science in Astronomy
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6.     
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TitleColored Discrete Spaces : Higher Dimensional Combinatorial Maps and Quantum Gravity
Author(s)Lionni, Luca
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2018.
DescriptionXVIII, 218 p. 107 illus., 98 illus. in color : online resource
Abstract NoteThis book provides a number of combinatorial tools that allow a systematic study of very general discrete spaces involved in the context of discrete quantum gravity. In any dimension D, we can discretize Euclidean gravity in the absence of matter over random discrete spaces obtained by gluing families of polytopes together in all possible ways. These spaces are then classified according to their curvature. In D=2, it results in a theory of random discrete spheres, which converge in the continuum limit towards the Brownian sphere, a random fractal space interpreted as a quantum random space-time. In this limit, the continuous Liouville theory of D=2 quantum gravity is recovered. Previous results in higher dimension regarded triangulations, converging towards a continuum random tree, or gluings of simple building blocks of small sizes, for which multi-trace matrix model results are recovered in any even dimension. In this book, the author develops a bijection with stacked two-dimensional discrete surfaces for the most general colored building blocks, and details how it can be used to classify colored discrete spaces according to their curvature. The way in which this combinatorial problem arrises in discrete quantum gravity and random tensor models is discussed in detail
ISBN,Price9783319960234
Keyword(s)1. Classical and Quantum Gravitation, Relativity Theory 2. EBOOK 3. EBOOK - SPRINGER 4. GEOMETRY 5. GRAVITATION 6. Mathematical Methods in Physics 7. PHYSICS
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7.     
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TitleIntegrable Problems of Celestial Mechanics in Spaces of Constant Curvature
Author(s)Vozmischeva, T.G
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2003.
DescriptionXI, 184 p : online resource
Abstract NoteIntrod uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics. Integrable cases are of considerable interest, since, by examining them, one can study general laws of behavior for the solutions of these systems. The classical approach to studying dynamical systems assumes a search for explicit formulas for the solutions of motion equations and then their analysis. This approach stimulated the development of new areas in mathematics, such as the al?? gebraic integration and the theory of elliptic and theta functions. In spite of this, the qualitative methods of studying dynamical systems are much actual. It was Poincare who founded the qualitative theory of differential equa?? tions. Poincare, working out qualitative methods, studied the problems of celestial mechanics and cosmology in which it is especially important to understand the behavior of trajectories of motion, i.e., the solutions of differential equations at infinite time. Namely, beginning from Poincare systems of equations (in connection with the study of the problems of ce?? lestial mechanics), the right-hand parts of which don't depend explicitly on the independent variable of time, i.e., dynamical systems, are studied
ISBN,Price9789401703031
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. EBOOK 4. EBOOK - SPRINGER 5. GEOMETRY 6. Observations, Astronomical
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8.     
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TitleOrientations and Rotations : Computations in Crystallographic Textures
Author(s)Morawiec, Adam
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2004.
DescriptionX, 200 p : online resource
Abstract NoteThe book is about mathematical and computational foundations of texture analysis. Numerical techniques are indispensable in texture analysis, so the book is primarily addressed to researchers and students using these techniques in practice. Orientations and Rotations is very different from other books on textures in its content and focal point. Major part of the book is devoted to orientations and rotations in general. Opening chapters contain an extensive and thorough introduction to rotations in three dimensions (including parameterizations and geometry of the rotation space). Further chapters are also general but they will be of interest for readers dealing with orientations of symmetric objects. This subject is essential for crystallographic textures since most crystal structures are symmetric. The final chapters concern more practical aspects of textures (such as the determination of orientations from diffraction patterns and the calculation of effective elastic properties of polycrystals). The book will be of interest for scientists working on plasticity, grain boundaries, recrystallisation, grain growth, and numerous other issues in which textures must be taken into account. Because of the extensive parts on rotations in general, the book can be valuable for everyone dealing with rotations
ISBN,Price9783662091562
Keyword(s)1. Characterization and Evaluation of Materials 2. Chemistry, Physical and theoretical 3. CRYSTALLOGRAPHY 4. Crystallography and Scattering Methods 5. EBOOK 6. EBOOK - SPRINGER 7. GEOMETRY 8. MATERIALS SCIENCE 9. MINERALOGY 10. Theoretical and Computational Chemistry
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9.     
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TitleMathematical and Quantum Aspects of Relativity and Cosmology : Proceedings of the Second Samos Meeting on Cosmology, Geometry and Relativity Held at Pythagoreon, Samos, Greece, 31 August ??? 4 September 1998
Author(s)Cotsakis, Spiros;Gibbons, Gary W
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2000.
DescriptionIX, 254 p : online resource
Abstract NoteThis book is written in a pedagogical style intelligible for graduate students. It reviews recent progress in black-hole and wormhole theory and in mathematical cosmology within the framework of Einstein's field equations and beyond, including quantum effects. This collection of essays, written by leading scientists of long standing reputation, should become an indispensable source for future research
ISBN,Price9783540466710
Keyword(s)1. Astronomy, Observations and Techniques 2. Astronomy???Observations 3. ASTROPHYSICS 4. Astrophysics and Astroparticles 5. Classical and Quantum Gravitation, Relativity Theory 6. EBOOK 7. EBOOK - SPRINGER 8. GEOMETRY 9. GRAVITATION 10. Observations, Astronomical 11. TOPOLOGY
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10.    
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TitleStatistical Physics and Spatial Statistics : The Art of Analyzing and Modeling Spatial Structures and Pattern Formation
Author(s)Mecke, Klaus R;Stoyan, Dietrich
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2000.
DescriptionXII, 420 p : online resource
Abstract NoteModern physics is confronted with a large variety of complex spatial patterns. Although both spatial statisticians and statistical physicists study random geometrical structures, there has been only little interaction between the two up to now because of different traditions and languages. This volume aims to change this situation by presenting in a clear way fundamental concepts of spatial statistics which are of great potential value for condensed matter physics and materials sciences in general, and for porous media, percolation and Gibbs processes in particular. Geometric aspects, in particular ideas of stochastic and integral geometry, play a central role throughout. With nonspecialist researchers and graduate students also in mind, prominent physicists give an excellent introduction here to modern ideas of statistical physics pertinent to this exciting field of research
ISBN,Price9783540450436
Keyword(s)1. COMPLEX SYSTEMS 2. CONDENSED MATTER 3. CONDENSED MATTER PHYSICS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. GEOMETRY 8. PROBABILITIES 9. Probability Theory and Stochastic Processes 10. STATISTICAL PHYSICS 11. Statistical Physics and Dynamical Systems 12. Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences 13. Statistics??
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