Experimental And Computational Mathematics


Experimental And Computational Mathematics
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Experimental And Computational Mathematics


Experimental And Computational Mathematics
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Author : Jonathan M. Borwein
language : en
Publisher: PSIpress
Release Date : 2010

Experimental And Computational Mathematics written by Jonathan M. Borwein and has been published by PSIpress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Experimental mathematics categories.


A quiet revolution in mathematical computing and scientific visualization took place in the latter half of the 20th century. These developments have dramatically enhanced modes of mathematical insight and opportunities for "exploratory" computational experimentation. This volume collects the experimental and computational contributions of Jonathan and Peter Borwein over the past quarter century.



Experimentation In Mathematics


Experimentation In Mathematics
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Author : Jonathan M. Borwein
language : en
Publisher: CRC Press
Release Date : 2004-04-12

Experimentation In Mathematics written by Jonathan M. Borwein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-12 with Mathematics categories.


New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of



The Computer As Crucible


The Computer As Crucible
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Author : Jonathan Borwein
language : en
Publisher: CRC Press
Release Date : 2008-10-28

The Computer As Crucible written by Jonathan Borwein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-28 with Mathematics categories.


Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics. They cover a variety of topics and examples to give the reader a good sense of the current sta



Experimental Mathematics


Experimental Mathematics
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Author : V. I. Arnold
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-07-14

Experimental Mathematics written by V. I. Arnold and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-14 with Combinatorial analysis categories.


One of the traditional ways mathematical ideas and even new areas of mathematics are created is from experiments. One of the best-known examples is that of the Fermat hypothesis, which was conjectured by Fermat in his attempts to find integer solutions for the famous Fermat equation. This hypothesis led to the creation of a whole field of knowledge, but it was proved only after several hundred years. This book, based on the author's lectures, presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open, i.e., are neither proved nor disproved. The hypotheses range from geometry and topology (statistics of plane curves and smooth functions) to combinatorics (combinatorial complexity and random permutations) to algebra and number theory (continuous fractions and Galois groups). For each subject, the author describes the problem and presents numerical results that led him to a particular conjecture. In the majority of cases there is an indication of how the readers can approach the formulated conjectures (at least by conducting more numerical experiments). Written in Arnold's unique style, the book is intended for a wide range of mathematicians, from high school students interested in exploring unusual areas of mathematics on their own, to college and graduate students, to researchers interested in gaining a new, somewhat nontraditional perspective on doing mathematics. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).



75 Years Of Mathematics Of Computation


75 Years Of Mathematics Of Computation
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Author : Susanne C. Brenner
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-07-29

75 Years Of Mathematics Of Computation written by Susanne C. Brenner and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-29 with Education categories.


The year 2018 marked the 75th anniversary of the founding of Mathematics of Computation, one of the four primary research journals published by the American Mathematical Society and the oldest research journal devoted to computational mathematics. To celebrate this milestone, the symposium “Celebrating 75 Years of Mathematics of Computation” was held from November 1–3, 2018, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island. The sixteen papers in this volume, written by the symposium speakers and editors of the journal, include both survey articles and new contributions. On the discrete side, there are four papers covering topics in computational number theory and computational algebra. On the continuous side, there are twelve papers covering topics in machine learning, high dimensional approximations, nonlocal and fractional elliptic problems, gradient flows, hyperbolic conservation laws, Maxwell's equations, Stokes's equations, a posteriori error estimation, and iterative methods. Together they provide a snapshot of significant achievements in the past quarter century in computational mathematics and also in important current trends.



Introduction To Experimental Mathematics


Introduction To Experimental Mathematics
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Author : Søren Eilers
language : en
Publisher: Cambridge University Press
Release Date : 2017-06

Introduction To Experimental Mathematics written by Søren Eilers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06 with Computers categories.


This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.



Experimental Mathematics In Action


Experimental Mathematics In Action
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Author : David Bailey
language : en
Publisher: CRC Press
Release Date : 2007-05-31

Experimental Mathematics In Action written by David Bailey and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-31 with Mathematics categories.


With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doi



Computational Methods And Experimental Measurements Xv


Computational Methods And Experimental Measurements Xv
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Author : G. M. Carlomagno
language : en
Publisher: WIT Press
Release Date : 2011

Computational Methods And Experimental Measurements Xv written by G. M. Carlomagno and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


Containing edited versions of most of the papers presented at the Fifteenth International Conference on Computational Methods and Experimental Measurements, this book reviews the latest work on these two approaches, and the interaction between them.



Interactive Systems For Experimental Applied Mathematics


Interactive Systems For Experimental Applied Mathematics
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Author : Melvin Klerer
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Interactive Systems For Experimental Applied Mathematics written by Melvin Klerer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Mathematics categories.


Interactive Systems for Experimental Applied Mathematics is a collection of papers presented at the 1967 Association for Computing Machinery (ACM) Inc. Symposium on Interactive Systems for Experimental Mathematics, held in Washington, D.C. in conjunction with the ACM National Meeting. This book is organized into five parts encompassing 46 chapters. The opening part deals with the general criteria for interactive on-line systems that seem most important for the experimental solution of mathematical problems. This part specifically describes the AMTRAN, REDUCE, EASL, POSE, VENUS, and CHARYBDIS computer systems and languages. The next two parts cover the components of interactive systems, including coherent programming, interactive console, mathematical symbol processing, message system, and computer-aided instruction. The fourth part examines a scheme for permitting a user of conventional procedural programming languages, namely, FORTRAN, to test actual error propagation in numerical calculations. This part also describes the features of Analyst Assistance Program, an on-line graphically oriented conversational computing system designed to perform small nonrecurring numerical computations. The concluding part presents several implications of selected computer systems, the resulting problems, and their proposed solutions. This book is of great benefit to computer scientists and engineers, mathematicians, and undergraduate and graduate students in applied mathematics.



Mathematics By Experiment


Mathematics By Experiment
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Author : Jonathan Borwein
language : en
Publisher: CRC Press
Release Date : 2008-10-27

Mathematics By Experiment written by Jonathan Borwein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-27 with Mathematics categories.


This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational P