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1 Liseikin, Vladimir D Grid Generation Methods I10185 2017 eBook  
2 Niemann, Philipp Compact Representations for the Design of Quantum Logic I09934 2017 eBook  
3 Landi, Giovanni Linear Algebra and Analytic Geometry for Physical Sciences I09687 2018 eBook  
4 Adamatzky, Andrew Cellular Automata I08961 2018 eBook  
5 Ydri, Badis Lectures on Matrix Field Theory I08731 2017 eBook  
6 Enns, Richard Computer Algebra Recipes I11043 2001 eBook  
7 Khrennikov, Andrei Y Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena I10657 2004 eBook  
8 Maass, Alejandro Dynamics and Randomness I10542 2002 eBook  
9 Goles, E Complex Systems I10541 2001 eBook  
10 Liseikin, Vladimir D A Computational Differential Geometry Approach to Grid Generation I08014 2007 eBook  
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TitleGrid Generation Methods
Author(s)Liseikin, Vladimir D
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXX, 530 p. 151 illus., 14 illus. in color : online resource
Abstract NoteThis new edition provides a description of current developments relating to grid methods, grid codes, and their applications to actual problems. Grid generation methods are indispensable for the numerical solution of differential equations. Adaptive grid-mapping techniques, in particular, are the main focus and represent a promising tool to deal with systems with singularities. This 3rd edition includes three new chapters on numerical implementations (10), control of grid properties (11), and applications to mechanical, fluid, and plasma related problems (13). Also the other chapters have been updated including new topics, such as curvatures of discrete surfaces (3). Concise descriptions of hybrid mesh generation, drag and sweeping methods, parallel algorithms for mesh generation have been included too. This new edition addresses a broad range of readers: students, researchers, and practitioners in applied mathematics, mechanics, engineering, physics and other areas of applications
ISBN,Price9783319578460
Keyword(s)1. APPLIED MATHEMATICS 2. Computational Science and Engineering 3. Computer mathematics 4. Computer science???Mathematics 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. Mathematics of Computing 10. Numerical and Computational Physics, Simulation 11. PHYSICS
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TitleCompact Representations for the Design of Quantum Logic
Author(s)Niemann, Philipp;Wille, Robert
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionVIII, 125 p. 43 illus., 1 illus. in color : online resource
Abstract NoteThis book discusses modern approaches and challenges of computer-aided design (CAD) of quantum circuits with a view to providing compact representations of quantum functionality. Focusing on the issue of quantum functionality, it presents Quantum Multiple-Valued Decision Diagrams (QMDDs ??? a means of compactly and efficiently representing and manipulating quantum logic. For future quantum computers, going well beyond the size of present-day prototypes, the manual design of quantum circuits that realize a given (quantum) functionality on these devices is no longer an option. In order to keep up with the technological advances, methods need to be provided which, similar to the design and synthesis of conventional circuits, automatically generate a circuit description of the desired functionality. To this end, an efficient representation of the desired quantum functionality is of the essence. While straightforward representations are restricted due to their (exponentially) large matrix descriptions and other decision diagram-like structures for quantum logic suffer from not comprehensively supporting typical characteristics, QMDDs employ a decomposition scheme that more naturally models quantum systems. As a result, QMDDs explicitly support quantum-mechanical effects like phase shifts and are able to take more advantage of corresponding redundancies, thereby allowing a very compact representation of relevant quantum functionality composed of dozens of qubits. This provides the basis for the development of sophisticated design methods as shown for quantum circuit synthesis and verification
ISBN,Price9783319637242
Keyword(s)1. Computer science???Mathematics 2. EBOOK 3. EBOOK - SPRINGER 4. QUANTUM COMPUTERS 5. Quantum computing 6. Quantum Information Technology, Spintronics 7. QUANTUM PHYSICS 8. SPINTRONICS 9. Symbolic and Algebraic Manipulation
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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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TitleCellular Automata : A Volume in the Encyclopedia of Complexity and Systems Science, Second Edition
Author(s)Adamatzky, Andrew
PublicationNew York, NY, 1. Imprint: Springer 2. Springer US, 2018.
Description425 illus., 190 illus. in color. eReference : online resource
Abstract NoteThis volume of the Encyclopedia of Complexity and Systems Science, Second Edition, provides an authoritative introduction and overview of the latest research in cellular automata (CA) models of physical systems, emergent phenomena, computational universality, chaos, growth phenomena, phase transitions, self-organised criticality, reaction-diffusion systems, self-replications, parallel computation, and more. Fundamental topics of algorithmic complexity, algebraic groups, language theory, evolving CA, ergodic theory, synchronisation, tiling problems and undecidability and topological dynamics of CA are addressed. Cellular automata are regular uniform networks of locally-connected finite-state machines, and represent discrete systems with non-trivial behavior, including waves, patterns and travelling localisations. CA are ubiquitous: they are mathematical models of computation and computer models of natural systems. Classes of CA presented in this book include additive CA, automata in hyperbolic spaces and non-compact spaces, CA in triangular, pentagonal and hexagonal tessellations, automata with memory, quantum and reversible automata, structurally-dynamic CA, and asynchronous automata. Topics added to the second edition include: asynchronous cellular automata, stochastic cellular automata as models of reaction-diffusion processes, cellular automata hardware implementation, cellular automata basins of attraction, orbits of Bernoulli measures in cellular automata, and graphs related to reversibility and complexity in cellular. This state-of-the-art reference is unique in bringing together unequalled expertise of interdisciplinary studies at the edge of mathematics, computer science, and physics
ISBN,Price9781493987009
Keyword(s)1. APPLIED MATHEMATICS 2. COMPLEX SYSTEMS 3. Computation by Abstract Devices 4. Computer logic 5. Computer science???Mathematics 6. COMPUTERS 7. DISCRETE MATHEMATICS 8. Discrete Mathematics in Computer Science 9. DYNAMICAL SYSTEMS 10. EBOOK 11. EBOOK - SPRINGER 12. ENGINEERING MATHEMATICS 13. Logics and Meanings of Programs 14. Mathematical and Computational Engineering 15. STATISTICAL PHYSICS
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TitleLectures on Matrix Field Theory
Author(s)Ydri, Badis
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2017.
DescriptionXII, 352 p. 8 illus., 6 illus. in color : online resource
Abstract NoteThese lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.?? The book initially focuses on the matrix formulation of non-commutative and fuzzy spaces, followed by a description of the non-perturbative treatment of the corresponding field theories. As an example, the phase structure of non-commutative phi-four theory is treated in great detail, with a separate chapter on the multitrace approach. The last chapter offers a general introduction to non-commutative gauge theories, while two appendices round out the text. Primarily written as a self-study guide for postgraduate students ??? with the aim of pedagogically introducing them to key analytical and numerical tools, as well as useful physical models in applications ??? these lecture notes will also benefit experienced researchers by providing a reference guide to the fundamentals of non-commutative field theory with an emphasis on matrix models and fuzzy geometries
ISBN,Price9783319460031
Keyword(s)1. ALGEBRAIC GEOMETRY 2. Computer science???Mathematics 3. EBOOK 4. EBOOK - SPRINGER 5. Math Applications in Computer Science 6. MATHEMATICAL PHYSICS 7. Quantum Field Theories, String Theory 8. QUANTUM FIELD THEORY 9. QUANTUM PHYSICS 10. STRING THEORY
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TitleComputer Algebra Recipes : A Gourmet???s Guide to the Mathematical Models of Science
Author(s)Enns, Richard;McGuire, George C
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2001.
DescriptionXIV, 778 p : online resource
Abstract NoteComputer algebra systems have the potential to revolutionize the teaching of and learning of science. Not only can students work thorough mathematical models much more efficiently and with fewer errors than with pencil and paper, they can also work with much more complex and computationally intensive models. Thus, for example, in studying the flight of a golf ball, students can begin with the simple parabolic trajectory, but then add the effects of lift and drag, of winds, and of spin. Not only can the program provide analytic solutions in some cases, it can also produce numerical solutions and graphic displays. Aimed at undergraduates in their second or third year, this book is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, chemistry. The text is organized along a spiral, revisiting general topics such as graphics, symbolic computation, and numerical simulation in greater detail and more depth at each turn of the spiral. The heart of the text is a large number of computer algebra recipes. These have been designed not only to provide tools for problem solving, but also to stimulate the reader's imagination. Associated with each recipe is a scientific model or method and a story that leads the reader through steps of the recipe.??Each section of recipes is followed by a set of problems that readers can use to check their understanding or to develop the topic further
ISBN,Price9781461301714
Keyword(s)1. ALGEBRA 2. Applications of Mathematics 3. APPLIED MATHEMATICS 4. Computational Intelligence 5. Computer science???Mathematics 6. EBOOK 7. EBOOK - SPRINGER 8. ENGINEERING MATHEMATICS 9. Mathematical and Computational Engineering 10. PHYSICS 11. Physics, general 12. Symbolic and Algebraic Manipulation
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TitleInformation Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena
Author(s)Khrennikov, Andrei Y
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2004.
DescriptionXV, 235 p : online resource
Abstract NoteIn this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure
ISBN,Price9789401704793
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. ARTIFICIAL INTELLIGENCE 4. Computer science???Mathematics 5. Discrete Mathematics in Computer Science 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MATHEMATICAL PHYSICS 10. PHILOSOPHY OF MIND 11. Theoretical, Mathematical and Computational Physics
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TitleDynamics and Randomness
Author(s)Maass, Alejandro;Mart??nez, Servet;San Mart??n, Jaime
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2002.
DescriptionX, 278 p : online resource
Abstract NoteThis book contains the lectures given at the Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile from December 11th to 15th, 2000. This meeting brought together mathematicians, theoretical physicists and theoretical computer scientists, and graduate students interested in fields re?? lated to probability theory, ergodic theory, symbolic and topological dynam?? ics. We would like to express our gratitude to all the participants of the con?? ference and to the people who contributed to its organization. In particular, to Pierre Collet, Bernard Host and Mike Keane for their scientific advise. VVe want to thank especially the authors of each chapter for their well?? prepared manuscripts and the stimulating conferences they gave at Santiago. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: ECOS-CONICYT, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship and Universidad de Chile. We are grateful to Ms. Gladys Cavallone for their excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book
ISBN,Price9789401003452
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. COMPLEX SYSTEMS 4. Computer science???Mathematics 5. Discrete Mathematics in Computer Science 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. INFORMATION THEORY 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems
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TitleComplex Systems
Author(s)Goles, E;Mart??nez, Servet
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2001.
DescriptionVIII, 301 p : online resource
Abstract NoteThis volume contains the courses given at the Sixth Summer School on Complex Systems held at Facultad de Ciencias Fisicas y Maternaticas, Universidad de Chile at Santiago, Chile, from 14th to 18th December 1998. This school was addressed to graduate students and researchers working on areas related with recent trends in Complex Systems, including dynamical systems, cellular automata, complexity and cutoff in Markov chains. Each contribution is devoted to one of these subjects. In some cases they are structured as surveys, presenting at the same time an original point of view and showing mostly new results. The paper of Pierre Arnoux investigates the relation between low complex systems and chaotic systems, showing that they can be put into relation by some re?? normalization operations. The case of quasi-crystals is fully studied, in particular the Sturmian quasi-crystals. The paper of Franco Bagnoli and Raul Rechtman establishes relations be?? tween Lyapunov exponents and synchronization processes in cellular automata. The principal goal is to associate tools, usually used in physical problems, to an important problem in cellularautomata and computer science, the synchronization problem. The paper of Jacques Demongeot and colleagues gives a presentation of at?? tractors of dynamical systems appearing in biological situations. For instance, the relation between positive or negative loops and regulation systems
ISBN,Price9789401009201
Keyword(s)1. COMPLEX SYSTEMS 2. Computer science???Mathematics 3. COMPUTERS 4. Discrete Mathematics in Computer Science 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Modeling and Industrial Mathematics 9. MATHEMATICAL MODELS 10. STATISTICAL PHYSICS 11. Statistics, general 12. Statistics?? 13. SYSTEM THEORY 14. Systems Theory, Control 15. Theory of Computation
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TitleA Computational Differential Geometry Approach to Grid Generation
Author(s)Liseikin, Vladimir D
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2007.
DescriptionXIV, 294 p. 81 illus., 3 illus. in color : online resource
Abstract NoteThe process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This monograph gives a detailed treatment of applications of geometric methods to advanced grid technology. It focuses on and describes a comprehensive approach based on the numerical solution of inverted Beltramian and diffusion equations with respect to monitor metrics for generating both structured and unstructured grids in domains and on surfaces. In this second edition the author takes a more detailed and practice-oriented approach towards explaining how to implement the method by: Employing geometric and numerical analyses of monitor metrics as the basis for developing efficient tools for controlling grid properties. Describing new grid generation codes based on finite differences for generating both structured and unstructured surface and domain grids. Providing examples of applications of the codes to the generation of adaptive, field-aligned, and balanced grids, to the solutions of CFD and magnetized plasmas problems. The book addresses both scientists and practitioners in applied mathematics and numerical solution of field problems
ISBN,Price9783540342366
Keyword(s)1. Classical and Continuum Physics 2. Computational Mathematics and Numerical Analysis 3. Computer mathematics 4. Computer science???Mathematics 5. Continuum physics 6. DIFFERENTIAL GEOMETRY 7. EBOOK 8. EBOOK - SPRINGER 9. Math Applications in Computer Science 10. Mathematical Methods in Physics 11. Numerical and Computational Physics, Simulation 12. PHYSICS
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