The Essence of Numbers

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Publisher : Springer Nature
ISBN 13 : 3030567001
Total Pages : 180 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis The Essence of Numbers by : Frédéric Patras

Download or read book The Essence of Numbers written by Frédéric Patras and published by Springer Nature. This book was released on 2020-10-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. They are treated as epistemic objects: mathematical objects that have been subject to epistemological inquiry and attention throughout their history and whose conception has evolved accordingly. Although they are the simplest and most common mathematical objects, as this book reveals, they have a very complex nature whose study illuminates subtle features of the functioning of our thought. Using jointly history, mathematics and philosophy to grasp the essence of numbers, the reader is led through their various interpretations, presenting the ways they have been involved in major theoretical projects from Thales onward. Some pertain primarily to philosophy (as in the works of Plato, Aristotle, Kant, Wittgenstein...), others to general mathematics (Euclid's Elements, Cartesian algebraic geometry, Cantorian infinities, set theory...). Also serving as an introduction to the works and thought of major mathematicians and philosophers, from Plato and Aristotle to Cantor, Dedekind, Frege, Husserl and Weyl, this book will be of interest to a wide variety of readers, from scholars with a general interest in the philosophy or mathematics to philosophers and mathematicians themselves.

Plasma Atomic Physics

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Publisher : Springer
ISBN 13 : 9783030059668
Total Pages : 648 pages
Book Rating : 4.0/5 (596 download)

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Book Synopsis Plasma Atomic Physics by : Frank B. Rosmej

Download or read book Plasma Atomic Physics written by Frank B. Rosmej and published by Springer. This book was released on 2021-09-07 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plasma Atomic Physics provides an overview of the elementary processes within atoms and ions in plasmas, and introduces readers to the language of atomic spectra and light emission, allowing them to explore the various and fascinating radiative properties of matter. The book familiarizes readers with the complex quantum-mechanical descriptions of electromagnetic and collisional processes, while also developing a number of effective qualitative models that will allow them to obtain adequately comprehensive descriptions of collisional-radiative processes in dense plasmas, dielectronic satellite emissions and autoionizing states, hollow ion X-ray emissions, polarized atoms and ions, hot electrons, charge exchange, atomic population kinetics, and radiation transport. Numerous applications to plasma spectroscopy and experimental data are presented, which concern magnetic confinement fusion, inertial fusion, laser-produced plasmas, and X-ray free-electron lasers’ interaction with matter. Particular highlights include the development of quantum kinetics to a level surpassing the almost exclusively used quasi-classical approach in atomic population kinetics, the introduction of the recently developed Quantum-F-Matrix-Theory (QFMT) to study the impact of plasma microfields on atomic populations, and the Enrico Fermi equivalent photon method to develop the “Plasma Atom”, where the response properties and oscillator strength distribution are represented with the help of a local plasma frequency of the atomic electron density. Based on courses held by the authors, this material will assist students and scientists studying the complex processes within atoms and ions in different kinds of plasmas by developing relatively simple but highly effective models. Considerable attention is paid to a number of qualitative models that deliver physical transparency, while extensive tables and formulas promote the practical and useful application of complex theories and provide effective tools for non-specialist readers.

Classical Hopf Algebras and Their Applications

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Publisher : Springer Nature
ISBN 13 : 3030778452
Total Pages : 277 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Classical Hopf Algebras and Their Applications by : Pierre Cartier

Download or read book Classical Hopf Algebras and Their Applications written by Pierre Cartier and published by Springer Nature. This book was released on 2021-09-20 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s. The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics. Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras. A wide range of applications are surveyed, highlighting the main ideas and fundamental results. Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.

Numerical Mathematics and Advanced Applications ENUMATH 2017

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Publisher : Springer
ISBN 13 : 3319964151
Total Pages : 993 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Numerical Mathematics and Advanced Applications ENUMATH 2017 by : Florin Adrian Radu

Download or read book Numerical Mathematics and Advanced Applications ENUMATH 2017 written by Florin Adrian Radu and published by Springer. This book was released on 2019-01-05 with total page 993 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017. The conference was organized by the University of Bergen, Norway from September 25 to 29, 2017. Leading experts in the field presented the latest results and ideas in the designing, implementation, and analysis of numerical algorithms as well as their applications to relevant, societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications. These discussions are upheld at the highest level of international expertise. The first ENUMATH conference was held in Paris in 1995 with successive conferences being held at various locations across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), and Ankara (2015).

Computation and Combinatorics in Dynamics, Stochastics and Control

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Publisher : Springer
ISBN 13 : 3030015939
Total Pages : 734 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Computation and Combinatorics in Dynamics, Stochastics and Control by : Elena Celledoni

Download or read book Computation and Combinatorics in Dynamics, Stochastics and Control written by Elena Celledoni and published by Springer. This book was released on 2019-01-13 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Abel Symposia volume at hand contains a collection of high-quality articles written by the world’s leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory. In recent years we have witnessed a remarkable convergence between individual mathematical disciplines that approach deterministic and stochastic dynamical systems from mathematical analysis, computational mathematics and control theoretical perspectives. Breakthrough developments in these fields now provide a common mathematical framework for attacking many different problems related to differential geometry, analysis and algorithms for stochastic and deterministic dynamics. In the Abel Symposium 2016, which took place from August 16-19 in Rosendal near Bergen, leading researchers in the fields of deterministic and stochastic differential equations, control theory, numerical analysis, algebra and random processes presented and discussed the current state of the art in these diverse fields. The current Abel Symposia volume may serve as a point of departure for exploring these related but diverse fields of research, as well as an indicator of important current and future developments in modern mathematics.

Partial Differential and Integral Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461332761
Total Pages : 367 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Partial Differential and Integral Equations by : Heinrich Begehr

Download or read book Partial Differential and Integral Equations written by Heinrich Begehr and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal ysis are studied which are applied to the time-harmonic Maxwell equations.

Recent Trends in Differential Equations

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Publisher : World Scientific
ISBN 13 : 9789810209636
Total Pages : 604 pages
Book Rating : 4.2/5 (96 download)

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Book Synopsis Recent Trends in Differential Equations by : Ratan Prakash Agarwal

Download or read book Recent Trends in Differential Equations written by Ratan Prakash Agarwal and published by World Scientific. This book was released on 1992 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series aims at reporting new developments of a high mathematical standard and of current interest. Each volume in the series shall be devoted to mathematical analysis that has been applied, or potentially applicable to the solutions of scientific, engineering, and social problems. The first volume of WSSIAA contains 42 research articles on differential equations by leading mathematicians from all over the world. This volume has been dedicated to V Lakshmikantham on his 65th birthday for his significant contributions in the field of differential equations.

Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA)

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) by : Frédéric Chapoton

Download or read book Algebraic Combinatorics, Resurgence, Moulds and Applications (CARMA) written by Frédéric Chapoton and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Photonics

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Publisher : Cambridge University Press
ISBN 13 : 1139851403
Total Pages : 467 pages
Book Rating : 4.1/5 (398 download)

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Book Synopsis Computational Photonics by : Marek S. Wartak

Download or read book Computational Photonics written by Marek S. Wartak and published by Cambridge University Press. This book was released on 2013-01-10 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive manual on the efficient modeling and analysis of photonic devices through building numerical codes, this book provides graduate students and researchers with the theoretical background and MATLAB programs necessary for them to start their own numerical experiments. Beginning by summarizing topics in optics and electromagnetism, the book discusses optical planar waveguides, linear optical fiber, the propagation of linear pulses, laser diodes, optical amplifiers, optical receivers, finite-difference time-domain method, beam propagation method and some wavelength division devices, solitons, solar cells and metamaterials. Assuming only a basic knowledge of physics and numerical methods, the book is ideal for engineers, physicists and practising scientists. It concentrates on the operating principles of optical devices, as well as the models and numerical methods used to describe them.

Martingale Approximation

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110944685
Total Pages : 336 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Martingale Approximation by : Yu. V. Borovskikh

Download or read book Martingale Approximation written by Yu. V. Borovskikh and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-01-14 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Martingale Approximation".

Combinatorics and Probability

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Publisher : Cambridge University Press
ISBN 13 : 0521872073
Total Pages : 27 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Combinatorics and Probability by : Graham Brightwell

Download or read book Combinatorics and Probability written by Graham Brightwell and published by Cambridge University Press. This book was released on 2007-03-08 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.

The Symmetry Perspective

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Publisher : Birkhäuser
ISBN 13 : 3034881673
Total Pages : 338 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Symmetry Perspective by : Martin Golubitsky

Download or read book The Symmetry Perspective written by Martin Golubitsky and published by Birkhäuser. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

Monotone Iterative Techniques for Nonlinear Differential Equations

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Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Monotone Iterative Techniques for Nonlinear Differential Equations by : G. S. Ladde

Download or read book Monotone Iterative Techniques for Nonlinear Differential Equations written by G. S. Ladde and published by Pitman Publishing. This book was released on 1985 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and Democracy

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Publisher : Princeton University Press
ISBN 13 : 1400835593
Total Pages : 390 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematics and Democracy by : Steven J. Brams

Download or read book Mathematics and Democracy written by Steven J. Brams and published by Princeton University Press. This book was released on 2009-12-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.

Game Theory and the Humanities

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Publisher : MIT Press
ISBN 13 : 0262015226
Total Pages : 334 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Game Theory and the Humanities by : Steven J. Brams

Download or read book Game Theory and the Humanities written by Steven J. Brams and published by MIT Press. This book was released on 2011 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory models are ubiquitous in economics, common in political science, and increasingly used in psychology and sociology; in evolutionary biology, they offer compelling explanations for competition in nature. But game theory has been only sporadically applied to the humanities; indeed, we almost never associate mathematical calculations of strategic choice with the worlds of literature, history, and philosophy. And yet, as Steven Brams shows, game theory can illuminate the rational choices made by characters in texts ranging from the Bible to Joseph Heller's Catch-22 and can explicate strategic questions in law, history, and philosophy. - Brams's strategic exegesis of texts helps the reader relate characters' goals to their choices and the consequences of those choices. Much of his analysis is based on the theory of moves (TOM), which is grounded in game theory, and which he develops gradually and applies systematically throughout. TOM illuminates the dynamics of player choices, including their misperceptions, deceptions, and uses of different kinds of power.

The Oxford Handbook of Nonlinear Filtering

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Publisher : OUP Oxford
ISBN 13 : 0199532907
Total Pages : 1080 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis The Oxford Handbook of Nonlinear Filtering by : Dan Crisan

Download or read book The Oxford Handbook of Nonlinear Filtering written by Dan Crisan and published by OUP Oxford. This book was released on 2011-02-17 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, interdisciplinary resource for nonlinear (or stochastic) filtering, this Handbook explores the classical theory, the recent advances, and the application of nonlinear filtering to mathematical finance. With contributions from 58 leading experts, it will prove invaluable to anyone working in, or wishing to know more about, the area.

Handbook of Algebra

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Publisher : Elsevier
ISBN 13 : 0080462499
Total Pages : 543 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Handbook of Algebra by : M. Hazewinkel

Download or read book Handbook of Algebra written by M. Hazewinkel and published by Elsevier. This book was released on 2006-05-30 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed.- Thorough and practical source for information- Provides in-depth coverage of new topics in algebra- Includes references to relevant articles, books and lecture notes