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  • Books  (16)
  • DDC 511.3
  • Mathematical physics
  • 2020-2024  (9)
  • 1990-1994  (7)
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  • Books  (16)
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  • 1
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    Foundations of General Relativity (2022)
    Radboud University Press | Radboud University Press
    Details
    Publication Date: 2022-04-05
    Description: This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory.
    Keywords: Mathematical physics ; Penrose ; Gravity ; Einstein ; Black holes ; Mathematical Relativity ; bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBM Geometry::PBMP Differential & Riemannian geometry ; bic Book Industry Communication::P Mathematics & science::PH Physics::PHR Relativity physics ; bic Book Industry Communication::H Humanities::HB History ; bic Book Industry Communication::P Mathematics & science::PB Mathematics ; bic Book Industry Communication::P Mathematics & science::PH Physics ; bic Book Industry Communication::P Mathematics & science::PB Mathematics::PBP Topology
    Language: English
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  • 2
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    Foundations of Quantum Theory: From Classical Concepts to Operator Algebras (2021)
    Springer Nature
    Details
    Publication Date: 2024-04-04
    Description: This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory.
    Keywords: QC1-999 ; Algebra ; Matrix theory ; Quantum physics ; Mathematical physics ; thema EDItEUR::P Mathematics and Science::PH Physics
    Language: English
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  • 3
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    Software for Exascale Computing - SPPEXA 2016-2019 (2021)
    Springer Nature | Springer
    Details
    Publication Date: 2024-04-14
    Description: This open access book summarizes the research done and results obtained in the second funding phase of the Priority Program 1648 "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) presented at the SPPEXA Symposium in Dresden during October 21-23, 2019. In that respect, it both represents a continuation of Vol. 113 in Springer’s series Lecture Notes in Computational Science and Engineering, the corresponding report of SPPEXA’s first funding phase, and provides an overview of SPPEXA’s contributions towards exascale computing in today's sumpercomputer technology. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.
    Keywords: Simulation and Modeling ; Performance and Reliability ; Computational Science and Engineering ; Input/Output and Data Communications ; Mathematical and Computational Engineering ; Numerical and Computational Physics, Simulation ; Computer Science ; Computer Hardware ; Mathematical and Computational Engineering Applications ; Theoretical, Mathematical and Computational Physics ; open access ; computational algorithms and numerical methods ; data management and exploration ; high-performance computing ; simulation software and applications ; system software and software tools ; Computer modelling & simulation ; Systems analysis & design ; Maintenance & repairs ; Maths for scientists ; Computer networking & communications ; Distributed databases ; Maths for engineers ; Mathematical physics ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYM Computer modelling and simulation ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYD Systems analysis and design ; thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists ; thema EDItEUR::U Computing and Information Technology::UT Computer networking and communications ; thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBJ Maths for engineers ; thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
    Language: English
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  • 4
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    Foundations of Quantum Theory: From Classical Concepts to Operator Algebras (2021)
    Springer Nature
    Details
    Publication Date: 2024-04-04
    Description: Quantum physics; Mathematical physics; Matrix theory; Algebra
    Keywords: Quantum physics ; Mathematical physics ; Matrix theory ; Algebra ; thema EDItEUR::P Mathematics and Science::PH Physics
    Language: English
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  • 5
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    Handbook of Mathematical Geosciences (2021)
    Springer Nature
    Details
    Publication Date: 2024-04-04
    Description: This Open Access handbook published at the IAMG's 50th anniversary, presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.
    Keywords: Earth sciences ; Geology—Statistical methods ; Mathematical physics ; Statistics  ; Statistics  ; Statistical physics ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWR Nonlinear science ; thema EDItEUR::R Earth Sciences, Geography, Environment, Planning::RB Earth sciences::RBG Geology, geomorphology and the lithosphere ; thema EDItEUR::U Computing and Information Technology::UF Business applications::UFM Mathematical and statistical software
    Language: English
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  • 6
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    Boundary Layer Flows (2021)
    IntechOpen | IntechOpen
    Details
    Publication Date: 2024-04-05
    Description: Written by experts in the field, this book, "Boundary Layer Flows - Theory, Applications, and Numerical Methods" provides readers with the opportunity to explore its theoretical and experimental studies and their importance to the nonlinear theory of boundary layer flows, the theory of heat and mass transfer, and the dynamics of fluid. With the theory's importance for a wide variety of applications, applied mathematicians, scientists, and engineers - especially those in fluid dynamics - along with engineers of aeronautics, will undoubtedly welcome this authoritative, up-to-date book.
    Keywords: Mathematical physics ; thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics
    Language: English
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  • 7
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    Planar Maps, Random Walks and Circle Packing (2021)
    Springer Nature
    Details
    Publication Date: 2024-04-04
    Description: This open access book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits. One of its main goals is to present a self-contained proof that the uniform infinite planar triangulation (UIPT) is almost surely recurrent. Full proofs of all statements are provided. A planar map is a graph that can be drawn in the plane without crossing edges, together with a specification of the cyclic ordering of the edges incident to each vertex. One widely applicable method of drawing planar graphs is given by Koebe’s circle packing theorem (1936). Various geometric properties of these drawings, such as existence of accumulation points and bounds on the radii, encode important probabilistic information, such as the recurrence/transience of simple random walks and connectivity of the uniform spanning forest. This deep connection is especially fruitful to the study of random planar maps. The book is aimed at researchers and graduate students in mathematics and is suitable for a single-semester course; only a basic knowledge of graduate level probability theory is assumed.
    Keywords: Mathematics ; Probabilities ; Discrete mathematics ; Geometry ; Mathematical physics ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBD Discrete mathematics ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBM Geometry ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics ; thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
    Language: English
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  • 8
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    Pattern Recognition, Tracking and Vertex Reconstruction in Particle Detectors (2021)
    Springer Nature
    Details
    Publication Date: 2024-04-05
    Description: This open access book is a comprehensive review of the methods and algorithms that are used in the reconstruction of events recorded by past, running and planned experiments at particle accelerators such as the LHC, SuperKEKB and FAIR. The main topics are pattern recognition for track and vertex finding, solving the equations of motion by analytical or numerical methods, treatment of material effects such as multiple Coulomb scattering and energy loss, and the estimation of track and vertex parameters by statistical algorithms. The material covers both established methods and recent developments in these fields and illustrates them by outlining exemplary solutions developed by selected experiments. The clear presentation enables readers to easily implement the material in a high-level programming language. It also highlights software solutions that are in the public domain whenever possible. It is a valuable resource for PhD students and researchers working on online or offline reconstruction for their experiments.
    Keywords: Particle Acceleration and Detection, Beam Physics ; Measurement Science and Instrumentation ; Pattern Recognition ; Numerical and Computational Physics, Simulation ; Accelerator Physics ; Automated Pattern Recognition ; Theoretical, Mathematical and Computational Physics ; Event reconstruction ; Tracking detectors in High Energy Physics ; Vertex reconstruction ; Clustering algorithms ; Experimental High-Energy Physics ; LHC ; Calolimator for pattern recognition ; Vertex of particle collision ; Triggering event and data analysis ; Open access ; Particle & high-energy physics ; Scientific standards, measurement etc ; Mathematical physics ; thema EDItEUR::P Mathematics and Science::PH Physics::PHP Particle and high-energy physics ; thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDD Scientific standards, measurement etc ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQP Pattern recognition ; thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
    Language: English
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  • 9
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    Anisotropy Across Fields and Scales (2021)
    Springer Nature | Springer
    Details
    Publication Date: 2024-04-04
    Description: This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain. The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas. This multidisciplinary book presents, in part, the outcomes of the seventh in a series of Dagstuhl seminars devoted to visualization and processing of tensor fields and higher-order descriptors, which was held in Dagstuhl, Germany, on October 28–November 2, 2018.
    Keywords: Visualization ; Linear and Multilinear Algebras, Matrix Theory ; Computational Science and Engineering ; Computer Imaging, Vision, Pattern Recognition and Graphics ; Theoretical, Mathematical and Computational Physics ; Data and Information Visualization ; Linear Algebra ; tensor ; tensor fields ; higher-order harmonics ; spherical harmonics ; image processing ; medical imaging ; diffusion-weighted imaging (DWI) ; structural mechanics ; astrophysics ; statistics ; open access ; Combinatorics & graph theory ; Algebra ; Maths for scientists ; Computer vision ; Mathematical physics ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBV Combinatorics and graph theory ; thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra ; thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists ; thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision ; thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics
    Language: English
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  • 10
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    Selected papers on Automath (1994)
    Amsterdam ; New York : Elsevier
    Details
    Keywords: DDC 511.3 ; LC QA267.3 ; AUTOMATH (Formal language)
    Pages: Online-Ressource (xix, 1024 pages)
    ISBN: 9780444898227
    URL: http://www.sciencedirect.com/science/publication?issn=0049237X&volume=133
    Language: English
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