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Mathematik F R Informatiker F R Dummies


Mathematik F R Informatiker F R Dummies
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Mathematics And Music


Mathematics And Music
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Author : Gerard Assayag
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Mathematics And Music written by Gerard Assayag and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.


In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.



Function Spaces Differential Operators And Nonlinear Analysis


Function Spaces Differential Operators And Nonlinear Analysis
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Author : Dorothee Haroske
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Function Spaces Differential Operators And Nonlinear Analysis written by Dorothee Haroske and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.



Graph Theoretic Concepts In Computer Science


Graph Theoretic Concepts In Computer Science
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Author : Gunther Schmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-01-29

Graph Theoretic Concepts In Computer Science written by Gunther Schmidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-29 with Computers categories.


This volume contains contributions to the 17th International workshop on Graph-Theoretic Concepts in Computer Science (WG '91) held in Southern Bavaria in June 1991. These annual workshops are designed to bring together researchers using graph-theoretic methods to discuss new developments relating to or emerging from a diversity of application fields. The topics covered in this volume include: tree-related problems, graph grammarsand rewriting, complexity, computational geometry, parallel algorithms, vertex orderings, path-oriented algorithms, applications to VLSI, and disjoint cycle problems.



Visualization In Human Computer Interaction


Visualization In Human Computer Interaction
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Author : Peter Gorny
language : en
Publisher: Springer Science & Business Media
Release Date : 1990

Visualization In Human Computer Interaction written by Peter Gorny and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.


This volume presents a selection of the contributions to the Seventh Workshop on Informatics and Psychology. The theme of the workshop was Visualization in Human-Computer Interaction. Visualization is nowadays recognized as an important aspect of user-oriented human-computer interfaces. Both informatics and psychology are concerned with this topic. In informatics, the technology is being developed which makes visualization and interaction based on visual concepts feasible. Another important trend in informatics is the development of prototypical solutions. Visual programming, visual languages, graphical interfaces, visual representations and many other keywords characterize current efforts in this field. Psychologists are working on the question of how people represent knowledge visually and how they can take advantage of visual representations when solving tasks.



Computer Algebra Handbook


Computer Algebra Handbook
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Author : Johannes Grabmeier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Computer Algebra Handbook written by Johannes Grabmeier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


Two ideas lie gleaming on the jeweler's velvet. The first is the calculus, the sec ond, the algorithm. The calculus and the rich body of mathematical analysis to which it gave rise made modern science possible; but it has been the algorithm that has made possible the modern world. -David Berlinski, The Advent of the Algorithm First there was the concept of integers, then there were symbols for integers: I, II, III, 1111, fttt (what might be called a sticks and stones representation); I, II, III, IV, V (Roman numerals); 1, 2, 3, 4, 5 (Arabic numerals), etc. Then there were other concepts with symbols for them and algorithms (sometimes) for ma nipulating the new symbols. Then came collections of mathematical knowledge (tables of mathematical computations, theorems of general results). Soon after algorithms came devices that provided assistancefor carryingout computations. Then mathematical knowledge was organized and structured into several related concepts (and symbols): logic, algebra, analysis, topology, algebraic geometry, number theory, combinatorics, etc. This organization and abstraction lead to new algorithms and new fields like universal algebra. But always our symbol systems reflected and influenced our thinking, our concepts, and our algorithms.



Xivth International Congress On Mathematical Physics


Xivth International Congress On Mathematical Physics
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Author : Jean-Claude Zambrini
language : en
Publisher: World Scientific
Release Date : 2005

Xivth International Congress On Mathematical Physics written by Jean-Claude Zambrini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


In 2003 the XIV International Congress on Mathematical Physics (ICMP) was held in Lisbon with more than 500 participants. Twelve plenary talks were given in various fields of Mathematical Physics: E Carlen On the relation between the Master equation and the Boltzmann Equation in Kinetic Theory; A Chenciner Symmetries and "simple" solutions of the classical n-body problem; M J Esteban Relativistic models in atomic and molecular physics; K Fredenhagen Locally covariant quantum field theory; K Gawedzki Simple models of turbulent transport; I Krichever Algebraic versus Liouville integrability of the soliton systems; R V Moody Long-range order and diffraction in mathematical quasicrystals; S Smirnov Critical percolation and conformal invariance; J P Solovej The energy of charged matter; V Schomerus Strings through the microscope; C Villani Entropy production and convergence to equilibrium for the Boltzmann equation; D Voiculescu Aspects of free probability. ICMP 2003 also included invited talks by: H Eliasson, W Schlag, M Shub, P Dorey, J M Maillet, K McLaughlin, A Nakayashiki, A Okounkov, G M Graf, R Seiringer, S Teufel, J Imbrie, D Ioffe, H Knoerrer, D Bernard, J Dimock, C J Fewster, T Thiemann, F Benatti, D Evans, Y Kawahigashi, C King, B Julia, N Nekrasov, P Townsend, D Bambusi, M Hairer, V Kaloshin, G Schneider, A Shirikyan, P Bizon, H Bray, H Ringstrom, L Barreira, L Rey-Bellet, C Forster, P Gaspard, F Golse, T Chen, P Exner, T Ichinose, V Kostrykin, E Skibsted, G Stolz, D Yafaev, V A Zagrebnov, R Leandre, T Levy, S Mazzuchi, H Owhadi, M Roeckner and A Sengupta. Key Features Provides a list of the most recent progress in all fields of Mathematical Physics; Written by the best international experts in these fields; Indicates the "hot" directions of research in Mathematical Physics for years to come; Readership: Mathematical physicists, mathematicians and theoretical physicists.



Resolution Of Singularities


Resolution Of Singularities
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Author : Herwig Hauser
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Resolution Of Singularities written by Herwig Hauser and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are complemented in part II by fifteen selected contributions on specific topics and resolution theories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems.



Stochastic Processes And Related Topics


Stochastic Processes And Related Topics
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Author : Rainer Buckdahn
language : en
Publisher: CRC Press
Release Date : 2002-05-16

Stochastic Processes And Related Topics written by Rainer Buckdahn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-16 with Mathematics categories.


This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications, which was held in Siegmundsburg, Germany, in March 2000. The contents include Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three In



Stochastic Processes And Related Topics


Stochastic Processes And Related Topics
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Author : Jeff Englebert
language : en
Publisher: CRC Press
Release Date : 1996-02-09

Stochastic Processes And Related Topics written by Jeff Englebert and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-09 with Mathematics categories.


The aim of this volume is to make accessible to a greater audience papers given at the 10th Winterschool on Stochastic Processes in Siegmundsburg, Germany, March 1994. The papers include developments in stochastic analysis, applications to finance mathematics, Markov processes and diffusion processes, stochastic differential equations and stochastic partial differential equations.



The Computer Algebra System Oscar


The Computer Algebra System Oscar
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Author : Wolfram Decker
language : en
Publisher: Springer Nature
Release Date : 2025-01-30

The Computer Algebra System Oscar written by Wolfram Decker and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-30 with Mathematics categories.


This book presents version 1.0 of the new Computer Algebra System OSCAR. Written in Julia, OSCAR builds on and vastly extends four cornerstone systems: ANTIC for number theory, GAP for group and representation theory, polymake for polyhedral and tropical geometry, and Singular for commutative algebra and algebraic geometry. It offers powerful computational tools that transcend the boundaries of the individual disciplines involved. It is freely available, open source software. The book is an invitation to use OSCAR. With discussions of theoretical and algorithmic aspects included, it offers a multitude of explicit code snippets. These are valuable for interested researchers from graduate students through established experts.