Matemáticas Experimentales PDF Download

Author: Javier Falcó
Publisher:
ISBN: 9788413924649
Category :
Languages : es
Pages : 184

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Author: V. I. Arnold
Publisher: American Mathematical Soc.
ISBN: 0821894161
Category : Mathematics
Languages : en
Pages : 170

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Book Description
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).

Author: A. K. Haghi
Publisher: CRC Press
ISBN: 1351592661
Category : Medical
Languages : en
Pages : 403

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Book Description
This new volume presents an up-to-date review of modern materials and physical chemistry concepts, issues, and recent advances in the field. It presents a modern theoretical and experimental approach in applied physical chemistry. The volume discusses the developments of advanced chemical products and respective tools to characterize and predict the chemical material properties and behavior. With chapters from distinguished scientists and engineers from key institutions worldwide, the volume provides understanding through numerous examples and practical applications drawn from research and development chemistry. It emphasizes the intersection of chemistry, math, physics, and the resulting applications across many disciplines of science and explores applied physical chemistry principles in specific areas. At the same time, each topic is framed within the context of a broader more interdisciplinary approach, demonstrating its relationship and interconnectedness to other areas. This new book fills a gap within modeling texts, focusing on applications across a broad range of disciplines, and presents information on many important problems in physical chemistry. These investigations are accompanied by real-life applications in practice.

Author: Søren Eilers
Publisher: Cambridge University Press
ISBN: 1108132790
Category : Computers
Languages : en
Pages : 321

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Book Description
Mathematics is not, and never will be, an empirical science, but mathematicians are finding that the use of computers and specialized software allows the generation of mathematical insight in the form of conjectures and examples, which pave the way for theorems and their proofs. In this way, the experimental approach to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this book provides material for a one-semester course in experimental mathematics that will give students the tools and training needed to systematically investigate and develop mathematical theory using computer programs written in Maple. Accessible to readers without prior programming experience, and using examples of concrete mathematical problems to illustrate a wide range of techniques, the book gives a thorough introduction to the field of experimental mathematics, which will prepare students for the challenge posed by open mathematical problems.

Author: Tewodros Amdeberhan
Publisher: American Mathematical Soc.
ISBN: 0821843176
Category : Mathematics
Languages : en
Pages : 304

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Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.

Author: David Bailey
Publisher: CRC Press
ISBN: 1439864330
Category : Mathematics
Languages : en
Pages : 337

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Book Description
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

Author: Douglas C. Giancoli
Publisher: Pearson Educación
ISBN: 9789702606956
Category : Juvenile Nonfiction
Languages : en
Pages : 850

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Book Description
Presents basic concepts in physics, covering topics such as kinematics, Newton's laws of motion, gravitation, fluids, sound, heat, thermodynamics, magnetism, nuclear physics, and more, examples, practice questions and problems.

Author: Jonathan M. Borwein
Publisher: PSIpress
ISBN: 193563805X
Category : Mathematics
Languages : en
Pages : 309

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Book Description
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.

Author: Tewodros Amdeberhan
Publisher: American Mathematical Soc.
ISBN: 0821848690
Category : Mathematics
Languages : en
Pages : 426

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Book Description
These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.

Author: A. Vila Nadal
Publisher:
ISBN:
Category :
Languages : es
Pages : 48

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