CRC Standard Curves and Surfaces with Mathematica
暫譯: CRC 標準曲線與曲面使用 Mathematica

Von Seggern, David H.

  • 出版商: CRC
  • 出版日期: 2024-10-14
  • 售價: $2,710
  • 貴賓價: 9.5$2,575
  • 語言: 英文
  • 頁數: 474
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032919663
  • ISBN-13: 9781032919669
  • 海外代購書籍(需單獨結帳)

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商品描述

Since the publication of this book's bestselling predecessor, Mathematica(R) has matured considerably and the computing power of desktop computers has increased greatly. The Mathematica(R) typesetting functionality has also become sufficiently robust that the final copy for this edition could be transformed directly from Mathematica R notebooks to LaTex input.

Incorporating these aspects, CRC Standard Curves and Surfaces with Mathematica(R), Third Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions and geometrical figures in use today. The overall format of the book is largely unchanged from the previous edition, with function definitions and their illustrations presented closely together.

New to the Third Edition:

  • A new chapter on Laplace transforms
  • New curves and surfaces in almost every chapter
  • Several chapters that have been reorganized
  • Better graphical representations for curves and surfaces throughout
  • Downloadable resources, including the entire book in a set of interactive CDF (Computable Document Format) files

The book presents a comprehensive collection of nearly 1,000 illustrations of curves and surfaces often used or encountered in mathematics, graphics design, science, and engineering fields. One significant change with this edition is that, instead of presenting a range of realizations for most functions, this edition presents only one curve associated with each function.

The graphic output of the Manipulate function is shown exactly as rendered in Mathematica, with the exact parameters of the curve's equation shown as part of the graphic display. This enables readers to gauge what a reasonable range of parameters might be while seeing the result of one particular choice of parameters.

商品描述(中文翻譯)

自從這本書的暢銷前作出版以來,Mathematica(R) 已經有了相當大的進步,桌面電腦的計算能力也大幅提升。Mathematica(R) 的排版功能已經變得足夠強大,以至於本版的最終稿件可以直接從 Mathematica R 筆記本轉換為 LaTex 輸入。

結合這些方面,CRC 標準曲線與曲面使用 Mathematica(R),第三版 是一本虛擬的曲線和函數百科全書,描繪了當今幾乎所有標準數學函數和幾何圖形。這本書的整體格式與前一版大致相同,函數定義及其插圖緊密相連。

第三版的新內容:


  • 新增一章關於拉普拉斯變換

  • 幾乎每一章都有新的曲線和曲面

  • 幾個章節已重新組織

  • 整體上對曲線和曲面的圖形表示有了更好的改進

  • 可下載的資源,包括整本書的互動 CDF(可計算文檔格式)文件集

本書呈現了近 1,000 幅常用或在數學、圖形設計、科學和工程領域中遇到的曲線和曲面的插圖。這一版的一個重要變化是,與大多數函數呈現多種實現不同,本版僅呈現與每個函數相關的單一曲線。

Manipulate 函數的圖形輸出顯示為在 Mathematica 中渲染的樣子,曲線方程的確切參數作為圖形顯示的一部分。這使讀者能夠評估合理的參數範圍,同時看到特定參數選擇的結果。

作者簡介

David H. von Seggern, PhD, worked for Teledyne Geotech from 1967 to 1982 in Alexandria, Virginia, almost exclusively on analysis of seismic data related to underground nuclear explosions. This effort was supported by the Air Force Office of Scientific Research (AFOSR) and by the Defense Advanced Research Projects Agency (DARPA). His research there addressed detection and discrimination of explosions, physics of the explosive source, explosive yield estimation, wave propagation, and application of statistical methods. Dr. von Seggern earned his PhD at Pennsylvania State University in 1982. He followed that with a 10-year position in geophysics research at Phillips Petroleum Company, where he became involved with leading-edge implementation of seismic imaging of oil and gas prospects and with seismic-wave modeling.

作者簡介(中文翻譯)

大衛·H·馮·塞根博士,於1967年至1982年間在維吉尼亞州亞歷山大市的Teledyne Geotech工作,幾乎專注於與地下核爆炸相關的地震數據分析。這項工作得到了美國空軍科學研究辦公室(AFOSR)和國防高級研究計劃局(DARPA)的支持。他在那裡的研究涉及爆炸的檢測與識別、爆炸源的物理學、爆炸當量估算、波的傳播以及統計方法的應用。馮·塞根博士於1982年在賓夕法尼亞州立大學獲得博士學位。隨後,他在菲利普斯石油公司擔任了10年的地球物理研究職位,參與了油氣前景的地震成像前沿實施以及地震波建模。