Coding the Matrix: Linear Algebra through Applications to Computer Science (Paperback)
暫譯: 編碼矩陣:透過應用於計算機科學的線性代數
Philip N. Klein
- 出版商: Newtonian Press
- 出版日期: 2013-09-03
- 售價: $1,421
- 貴賓價: 9.5 折 $1,350
- 語言: 英文
- 頁數: 548
- 裝訂: Paperback
- ISBN: 0615880991
- ISBN-13: 9780615880990
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相關分類:
線性代數 Linear-algebra、Computer-Science
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商品描述
An engaging introduction to vectors and matrices and the algorithms that operate on them, intended for the student who knows how to program. Mathematical concepts and computational problems are motivated by applications in computer science. The reader learns by doing, writing programs to implement the mathematical concepts and using them to carry out tasks and explore the applications. Examples include: error-correcting codes, transformations in graphics, face detection, encryption and secret-sharing, integer factoring, removing perspective from an image, PageRank (Google's ranking algorithm), and cancer detection from cell features. A companion web site,
Chapters: The Function, The Field, The Vector, The Vector Space, The Matrix, The Basis, Dimension, Gaussian Elimination, The Inner Product, Special Bases, The Singular Value Decomposition, The Eigenvector, The Linear Program
codingthematrix.comprovides data and support code. Most of the assignments can be auto-graded online. Over two hundred illustrations, including a selection of relevant xkcd comics.
Chapters: The Function, The Field, The Vector, The Vector Space, The Matrix, The Basis, Dimension, Gaussian Elimination, The Inner Product, Special Bases, The Singular Value Decomposition, The Eigenvector, The Linear Program
商品描述(中文翻譯)
本書是一個引人入勝的向量和矩陣及其運算算法的介紹,旨在為具備程式設計能力的學生而設。數學概念和計算問題是由計算機科學中的應用所激發。讀者透過實作來學習,編寫程式以實現數學概念,並利用這些概念來執行任務和探索應用。範例包括:錯誤更正碼、圖形變換、人臉檢測、加密和秘密分享、整數因式分解、去除影像透視、PageRank(Google 的排名算法)以及從細胞特徵中檢測癌症。一個配套的網站
codingthematrix.com提供數據和支援代碼。大多數作業可以在線自動評分。書中包含超過兩百幅插圖,包括一系列相關的xkcd漫畫。
章節包括:函數、域、向量、向量空間、矩陣、基底、維度、高斯消去法、內積、特殊基底、奇異值分解、特徵向量、線性規劃。