The Fourier Transform & Its Applications, 3/e (Paperback)
暫譯: 傅立葉變換及其應用(第三版,平裝本)

Ronald Newbold Bracewell

  • 出版商: McGraw-Hill Education
  • 出版日期: 1999-06-07
  • 定價: $1,150
  • 售價: 9.8$1,127
  • 語言: 英文
  • 頁數: 616
  • ISBN: 0071229264
  • ISBN-13: 9780071229265
  • 無法訂購

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商品描述

This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms.

The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.

            

   1 Introduction
   2 Groundwork
   3 Convolution
   4 Notation for Some Useful Functions
   5 The Impulse Symbol
   6 The Basic Theorems
   7 Obtaining Transforms
   8 The Two Domains
   9 Waveforms, Spectra, Filters and Linearity
   10 Sampling and Series
   11 The Discrete Fourier Transform and the FFT
   12 The Discrete Hartley Transform
   13 Relatives of the Fourier Transform
   14 The Laplace Transform
   15 Antennas and Optics
   16 Applications in Statistics
   17 Random Waveforms and Noise
   18 Heat Conduction and Diffusion
   19 Dynamic Power Spectra
   20 Tables of sinc x, sinc2x, and exp(-71x2)
   21 Solutions to Selected Problems
   22 Pictorial Dictionary of Fourier Transforms
   23 The Life of Joseph Fourier

商品描述(中文翻譯)

這本書是為高年級本科生或研究生的傅立葉變換課程而設計的。這本書與許多其他傅立葉變換書籍的不同之處在於它對應用的強調。Bracewell在整本書中將數學概念應用於物理世界,讓學生能夠以變換的方式思考世界和物理。

這本經典教材的教學法非常出色。作者包含了變換的圖解字典和文獻參考等工具。此外,書中有許多優秀的問題,這些問題不僅僅是數學練習,通常要求學生以特定情境來思考或提出有根據的意見。為了進一步幫助學生,許多問題的討論可以在書的末尾找到。

內容
1. 介紹
2. 基礎
3. 卷積
4. 一些有用函數的符號
5. 脈衝符號
6. 基本定理
7. 獲得變換
8. 兩個領域
9. 波形、頻譜、濾波器和線性
10. 取樣和級數
11. 離散傅立葉變換和快速傅立葉變換(FFT)
12. 離散哈特利變換
13. 傅立葉變換的相關變換
14. 拉普拉斯變換
15. 天線和光學
16. 統計學中的應用
17. 隨機波形和噪聲
18. 熱傳導和擴散
19. 動態功率頻譜
20. sinc x、sinc2x和exp(-71x2)的表格
21. 選定問題的解答
22. 傅立葉變換的圖解字典
23. 約瑟夫·傅立葉的生平