Gems in Experimental Mathematics

Gems in Experimental Mathematics PDF 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.

Gems in Experimental Mathematics

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

Get Book Here

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.

Gems in Experimental Mathematics

Gems in Experimental Mathematics PDF Author: Tewodros Amdeberhan, Luis A. Medina, Victor H. Moll
Publisher: American Mathematical Soc.
ISBN: 0821858416
Category : Combinatorial analysis
Languages : en
Pages : 426

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Book Description


Experimentation in Mathematics

Experimentation in Mathematics PDF Author: Jonathan M. Borwein
Publisher: CRC Press
ISBN: 1439864195
Category : Mathematics
Languages : en
Pages : 372

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Book Description
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

Number Theory and Related Fields

Number Theory and Related Fields PDF Author: Jonathan M. Borwein
Publisher: Springer Science & Business Media
ISBN: 1461466423
Category : Mathematics
Languages : en
Pages : 395

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Book Description
“Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.​

Mathematics by Experiment

Mathematics by Experiment PDF Author: Jonathan Borwein
Publisher: CRC Press
ISBN: 1439865361
Category : Mathematics
Languages : en
Pages : 384

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Book Description
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

Euler's Gem

Euler's Gem PDF Author: David S. Richeson
Publisher: Princeton University Press
ISBN: 0691191999
Category : Mathematics
Languages : en
Pages : 336

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Book Description
How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.

The Statistical Analysis of Experimental Data

The Statistical Analysis of Experimental Data PDF Author: John Mandel
Publisher: Courier Corporation
ISBN: 048613959X
Category : Mathematics
Languages : en
Pages : 434

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Book Description
First half of book presents fundamental mathematical definitions, concepts, and facts while remaining half deals with statistics primarily as an interpretive tool. Well-written text, numerous worked examples with step-by-step presentation. Includes 116 tables.

Topology of Algebraic Varieties and Singularities

Topology of Algebraic Varieties and Singularities PDF Author: José Ignacio Cogolludo-Agustín
Publisher: American Mathematical Soc.
ISBN: 0821848909
Category : Mathematics
Languages : en
Pages : 496

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Book Description
This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honour of Anatoly Libgober's 60th birthday, held June 22-26, 2009, in Jaca, Spain.

Mathematical Analysis and Applications

Mathematical Analysis and Applications PDF Author: Hari Mohan Srivastava
Publisher: MDPI
ISBN: 3038974005
Category : Mathematics
Languages : en
Pages : 221

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Book Description
This book is a printed edition of the Special Issue "Mathematical Analysis and Applications" that was published in Axioms

Arithmetic, Geometry, Cryptography and Coding Theory 2009

Arithmetic, Geometry, Cryptography and Coding Theory 2009 PDF Author: David R. Kohel
Publisher: American Mathematical Soc.
ISBN: 0821849557
Category : Computers
Languages : en
Pages : 178

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Book Description
This volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-a-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009. The articles contained in this volume come from three related symposia organized by the group Arithmetique et Theorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.