Design and Analysis of Algorithms: A Contemporary Perspective

The text covers important algorithm design techniques, like greedy algorithms, dynamic programming, divide-and-conquer and gives applications to contemporary problems. Techniques including Fast Fourier transform, KMP algorithm for string matching, CYK algorithm for context free parsing and gradient descent for convex function minimization are discussed in detail. The book's emphasis is on computational models and their effect on algorithm design. It gives insights into algorithm design techniques in parallel, streaming and memory hierarchy computational models. The book also emphasizes the role of randomization in algorithm design, and gives numerous applications ranging from data-structures like skip-lists to dimensionality reduction methods.

這本書涵蓋了重要的演算法設計技巧，如貪婪演算法、動態規劃、分治法，並提供了對當代問題的應用。詳細討論了包括快速傅立葉轉換、KMP字串匹配演算法、CYK上下文無關解析演算法和梯度下降凸函數最小化等技術。本書強調計算模型及其對演算法設計的影響，並深入探討了並行、串流和記憶體層次結構計算模型中的演算法設計技巧。本書還強調了隨機化在演算法設計中的作用，並提供了從跳躍表等資料結構到降維方法等眾多應用案例。