Gems in Experimental Mathematics（Contemporary Mathematics）实验数学中的瑰宝（当代数学丛书 货号TJ）
￥ 547 ￥ 115 九五品
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作者Tewodros Amdeberhan, Luis A. Medina and Victor H. Moll (eds)
出版社American Mathematical Society
ISBN9780821848692
出版时间2010
版次1
印刷时间2010
印次1
装帧平装
开本25.6*18
纸张胶版纸
页数413页
定价115元
货号TJ1384-I589-E450
上书时间2023-06-26
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本书原定价115.00美元，净重800克，馆藏。【图书分类：数理科学和化学 > 数学 > 代数、数论、组合理论 > 组合数学（组合学） > 组合分析】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 Mathematica® 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.
Table of Contents：
Preface
The art of finding Calabi-Yau differential equations. Dedicated to the 90-th birthday of Lars Garding Gert Almkvist Almkvist, Gert 1
A note on a question due to A. Garsia Tewodros Amdeberhan Amdeberhan, Tewodros 19
Experimental computation with oscillatory integrals Jonathan M. Borwein Borwein, Jonathan M. 25
Experimental mathematics and mathematical physics Wadim Zudilin Zudilin, Wadim 41
An extension of the parallel Risch algorithm Stefan T. Boettner Boettner, Stefan T. 59
Appell polynomials and their zero attractors William M. Y. Goh Goh, William M. Y. 69
Congruences for Stirling numbers of the second kind Dante Manna Manna, Dante 97
Expressions for harmonic number exponential generating functions Mark W. Coffey Coffey, Mark W. 113
Theory of log-rational integrals Richard E. Crandall Crandall, Richard E. 127
A new algorithm for the recursion of hypergeometric multisums with improved universal denominator Xinyu Sun Sun, Xinyu 143
The method of brackets. Part 2: Examples and applications Armin Straub Straub, Armin 157
History of the formulas and algorithms for π Jesus Guillera Guillera, Jesus 173
A matrix form of Ramanujan-type series for 1/π Jesus Guillera Guillera, Jesus 189
An algorithmic approach to the Mellin transform method Flavia Stan Stan, Flavia 207
Eliminating human insight: An algorithmic proof of Stembridge\'s TSPP theorem Christoph Koutschan Koutschan, Christoph 219
Towards the Koch snowflake fractal billiard: Computer experiments and mathematical conjectures Robert G. Niemeyer Niemeyer, Robert G. 231
An experimental mathematics perspective on the old, and still open, question of when to stop? Doron Zeilberger Zeilberger, Doron 265
The distance to an irreducible polynomial Michael J. Mossinghoff Mossinghoff, Michael J. 275
Square roots of 2x2 matrices Sam Northshield Northshield, Sam 289
On a series of Ramanujan Olivier Oloa Oloa, Olivier 305
Finite analogs of Szemeredi\'s theorem Doron Zeilberger Zeilberger, Doron 313
Toward and automation of the circle method Andrew V. Sills Sills, Andrew V. 321
The greatest common divisor of an---1 and bn---1 and the Ailon-Rudnick conjecture Joseph H. Silverman Silverman, Joseph H. 339
Which partial sums of the Taylor series for e are convergents to e? (and a link to the primes 2, 5, 13, 37, 463), Part II Kyle Schalm Schalm, Kyle 349
Experimentation at the frontiers of reality in Schubert calculus Frank Sottile Sottile, Frank 365
On Sp4 modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds Wadim Zudilin Zudilin, Wadim 38e
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【封面】
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【封底】
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【目录】
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【内页】
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