Free Algorithms Book免費的算法書
This free book, named這個免費的書籍，名為 Algorithms算法 , contains algorithm topics carefully selected and clustered. ，包含算法的主題精心挑選的群集。 Instead of dwelling on formal proofs the authors distilled in each case the crisp mathematical idea that makes the algorithm work.而不是居住在正式證明作者蒸餾在每一種情況下脆，數學的概念，使算法的工作。 In other words, they emphasized rigor over formalism.在其他換句話說，他們強調，嚴謹超過形式主義。
There are four parts to this Algorithms books:有四個部分，這個算法的書籍：
Part I of the book starts at the historical beginning: numbers, primality, and factoring, and also includes the RSA cryptosystem, and divide-and-conquer algorithms for integer multiplication, sorting and median finding, as well as the fast Fourier transform.我的一部分，這本書開始的歷史開始：號碼，素性，理，還包括RSA密碼系統，並分而治之算法的整數乘法，整理和中位數的發現，以及為快速傅立葉變換。
Part II, the most traditional section of the book, concentrates on data structures and graphs; the contrast here is between the intricate structure of the underlying problems and the short and crisp pieces of pseudocode that solve them.第二部分，最傳統的節本書，集中於數據結構和圖;對比這裡是之間的錯綜複雜的結構的潛在問題和短期和脆件偽代碼表示，解決這些問題。
Part III deals with the "sledgehammers" of the trade, techniques that are powerful and general: dynamic programming (a novel approach helps clarify this traditional stumbling block for students) and linear programming (a clean and intuitive treatment of the simplex algorithm, duality, and reductions to the basic problem).第三部分涉及“ sledgehammers ”的貿易，技術，是功能強大的和一般：動態規劃（一種新穎的方法，有助於澄清這一傳統的絆腳石學生）和線性規劃（一個清潔的和直觀的治療單純形算法，對偶，和削減的基本問題） 。
Part IV is about ways of dealing with hard problems: NP-completeness, various heuristics, as well as quantum algorithms, perhaps the most advanced and modern topic.第四部分是關於如何處理與努力的問題：為NP -完整性，各種啟發式，以及量子算法，也許是最先進和最現代的話題。 As it happens, we end the story exactly where we started it, with Shor's quantum algorithm for factoring.因為它發生，我們結束的故事，正是我們開始，與紹爾的量子算法理。
Each chapter is a pdf file, and the每章是一個PDF檔案，以及 whole book整本書 is also available as a pdf.也可作為一個PDF文件。
Table of contents目錄
Preface前言
Chapter 0:章0 ： Prologue序幕
Chapter 1:第1章： Algorithms with numbers算法與號碼
Chapter 2:第2章： Divide-and-conquer algorithms分而治之算法
Chapter 3:第3章： Decompositions of graphs分解圖
Chapter 4:第4章： Paths in graphs在路徑圖
Chapter 5:第5章： Greedy algorithms貪婪算法
Chapter 6:第六章： Dynamic programming動態規劃
Chapter 7:第7章： Linear programming線性規劃
Chapter 8:第8章： NP-complete problems NP完全問題
Chapter 9:第9章： Coping with NP-completeness應付的NP完整性
Chapter 10:第10章： Quantum algorithms量子算法
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