Mathematica in Action , 2/e
暫譯: 《Mathematica 實戰,第二版》
Stan Wagon
- 出版商: Demos Medical Publis
- 出版日期: 1999-01-22
- 售價: $1,250
- 貴賓價: 9.8 折 $1,225
- 語言: 英文
- 頁數: 592
- 裝訂: Hardcover
- ISBN: 0387982523
- ISBN-13: 9780387982526
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商品描述
"Mathematica in Action, 2nd Edition," is designed both as a guide to the extraordinary capabilities of Mathematica as well as a detailed tour of modern mathematics by one of its leading expositors, Stan Wagon. Ideal for teachers, researchers, mathematica enthusiasts. This second edition of the highly sucessful W.H. Freeman version includes an 8 page full color insert and 50% new material all organized around Elementary Topics, Intermediate Applications, and Advanced Projects. In addition, the book uses Mathematica 3.0 throughtout. Mathematica 3.0 notebooks with all the programs and examples discussed in the book are available on the TELOS web site (www.telospub.com). These notebooks contain materials suitable for DOS, Windows, Macintosh and Unix computers. Stan Wagon is well-known in the mathematics (and Mathematica) community as Associate Editor of the "American Mathematical Monthly," a columnist for the "Mathematical Intelligencer" and "Mathematica in Education and Research," author of "The Banach-Tarski Paradox" and "Unsolved Problems in Elementary Geometry and Number Theory (with Victor Klee), as well as winner of the 1987 Lester R. Ford Award for Expository Writing.
TABLE OF CONTENTS
"Mathematica in Action" leads the reader on a guided tour of: high-precision number theory, including many aspects of the prime numbers such as prime certificates, the Madelung constant, the Riemann Hypothesis, and public key encryption; innovative treatment of topics from calculus and dfferential equations including cycloids, brachistochrones and trochoids brought to life thrugh stunning animatins; fractals and chaos theory including complex Cantor sets, Iterated Function Systems, Julia sets, and fractalized tetrahedrons; Algorithms of number theory: the ancient and modern Euclidean algorithms, the Chinese Remainder Theorem, continued fractions, Egyptian fractions, Gaussian primes, sum of two squares problems, Eisenstein primes; dozens of miscellaneous topics including space filling curves, Peano curves, turtle geometry, map coloring a torus, the Art gallery theorem, Penrose tiles, algebraic numbers, and symbolic algebra.
商品描述(中文翻譯)
《Mathematica in Action, 第二版》旨在作為一個指導,展示Mathematica的非凡能力,同時也是由其主要解說者之一Stan Wagon所撰寫的現代數學詳細導覽。這本書非常適合教師、研究人員和Mathematica愛好者。這個成功的W.H. Freeman版本的第二版包含8頁的全彩插圖和50%的新材料,所有內容圍繞著基礎主題、中級應用和高級專案進行組織。此外,本書全篇使用Mathematica 3.0。與書中討論的所有程式和範例相關的Mathematica 3.0筆記本可在TELOS網站(www.telospub.com)上獲得。這些筆記本包含適用於DOS、Windows、Macintosh和Unix電腦的材料。Stan Wagon在數學(及Mathematica)社群中頗具知名度,擔任《美國數學月刊》的副編輯、《數學智者》和《教育與研究中的Mathematica》的專欄作家,著有《巴拿赫-塔斯基悖論》和《初等幾何與數論中的未解問題》(與Victor Klee合著),並於1987年獲得Lester R. Ford獎以表彰其解說寫作。
目錄
《Mathematica in Action》引導讀者進行以下主題的導覽:高精度數論,包括質數的許多方面,如質數證書、Madelung常數、黎曼假設和公鑰加密;對微積分和微分方程主題的創新處理,包括圓弧、最速降線和滾輪曲線,透過驚人的動畫生動呈現;分形和混沌理論,包括複雜的Cantor集、迭代函數系統、Julia集和分形四面體;數論的演算法:古代和現代的歐幾里得演算法、中國餘數定理、連分數、埃及分數、高斯質數、兩平方和問題、艾森斯坦質數;數十個雜項主題,包括填充空間的曲線、Peano曲線、烏龜幾何、環面著色、藝術畫廊定理、Penrose瓷磚、代數數和符號代數。