计算理论
计算理论基础 豆瓣
作者: Martin Davis / Ron Sigal 出版社: 人民邮电出版社 2009
本书是理论计算机科学领域的名作,是计算机科学核心主题的导论性教材。全书分为可计算性、文法与自动机、逻辑学、复杂性及语义学5个部分,分别讲述了可计算性理论、形式语言、逻辑学与自动演绎、可计算复杂性(包括NP完全问题)和编程语言的语义等主题,并展示了它们之间如何相互关联。.
本书是计算机及相关专业高年级本科生和研究生的理想教学参考书,对于计算机领域的专业人士也是很好的技术参考书。
近世计算理论导引 豆瓣
作者: 黄文奇 出版社: 科学出版社 2004 - 6
《近世计算理论导引:NP难度问题的背景、前景及其求解算法研究》对迄今为止的历史上的有关计算理论了的实质性成果作了深刻、严格而又直观的论述。为计算机科学的实质性难题NP难度问题的实现求解提出了一条现实的高效的求解途径。《近世计算理论导引:NP难度问题的背景、前景及其求解算法研究》的不同部分的不同组合可作为大学生、硕士生、博士生的教材,也可供有关的科技人员参考。
论可计算数 豆瓣
Turing's Vision: The Birth of Computer Science
作者: [美] 克里斯·伯恩哈特 译者: 雪曼 出版社: 中信出版集团 2016 - 9
1936年,24岁的图灵发表了现代计算领域奠基性的论文《论可计算数及其在判定问题上的应用》。这篇论文堪称图灵一生中最重要的贡献。然而,大众对图灵的了解多停留在破解德国的著名密码系统Enigma,帮助盟军取得二战的胜利上。对于数学家图灵,人们往往知之甚少。
在本书中,作者深入分析了图灵的这篇论文,读者只需具备高中水平的数学知识,即可轻松读懂这篇划时代的论文,了解其对现代计算发展的杰出贡献。正如人工智能之父马文·明斯基所说,图灵的论文有着超乎寻常的简洁性及数学之美。任何希望深入了解图灵及其工作的读者都不该错过这本书!
Computational complexity: A modern approach 豆瓣
作者: Sanjeev Arora / Boaz Barak 出版社: Cambridge University Press 2009
This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory. Requiring essentially no background apart from mathematical maturity, the book can be used as a reference for self-study for anyone interested in complexity, including physicists, mathematicians, and other scientists, as well as a textbook for a variety of courses and seminars. More than 300 exercises are included with a selected hint set.
Contents
Part I. Basic Complexity Classes: 1. The computational model - and why it doesn’t matter; 2. NP and NP completeness; 3. Diagonalization; 4. Space complexity; 5. The polynomial hierarchy and alternations; 6. Boolean circuits; 7. Randomized computation; 8. Interactive proofs; 9. Cryptography; 10. Quantum computation; 11. PCP theorem and hardness of approximation: an introduction; Part II. Lower Bounds for Concrete Computational Models: 12. Decision trees; 13. Communication complexity; 14. Circuit lower bounds; 15. Proof complexity; 16. Algebraic computation models; Part III. Advanced Topics: 17. Complexity of counting; 18. Average case complexity: Levin’s theory; 19. Hardness amplification and error correcting codes; 20. Derandomization; 21. Pseudorandom constructions: expanders and extractors; 22. Proofs of PCP theorems and the Fourier transform technique; 23. Why are circuit lower bounds so difficult?; Appendix A: mathematical background.
Reviews
Pre-Publication Review: "This text is a major achievement that brings together all of the important developments in complexity theory. Student and researchers alike will find it to be an immensely useful resource."
Michael Sipser, MIT, author of Introduction to the Theory of Computation
Pre-Publication Review: "Computational complexity theory is at the core of theoretical computer science research. This book contains essentially all of the (many) exciting developments of the last two decades, with high level intuition and detailed technical proofs. It is a must for everyone interested in this field."
Avi Wigderson, Professor, Institute for Advanced Study, Princeton
Pre-Publication Review: "This book by two leading theoretical computer scientists provides a comprehensive,insightful and mathematically precise overview of computational complexity theory, ranging from early foundational work to emerging areas such as quantum computation and hardness of approximation. It will serve the needs of a wide audience, ranging from experienced researchers to graduate students and ambitious undergraduates seeking an introduction to the mathematical foundations of computer science. I will keep it at my side as a useful reference for my own teaching and research."
Richard M. Karp, University Professor, University of California at Berkeley
自动机理论、语言和计算导论(英文版.第3版) 豆瓣
Introduction to Automata Theory, Languages, and Computation (3rd Edition)
作者: John E. Hopcroft / Rajeev Motwani 出版社: 机械工业 2008 - 1
本书是关于形式语言、自动机理论和计算复杂性方面的经典教材,是三位理论计算大师的巅峰之作,现已更新到第3版。书中涵盖了有穷自动机、正则表达式与语言、正则语言的性质、上下文无关文法及上下文无关语言、下推自动机、上下文无关语言的,陸质、图灵机、不可判定性以及难解问题等内容。
本书已被世界许多著名大学采用为计算机理论课程的教材或教学参考书,适合用作国内高校计算机专业高年级本科生或研究生的教材,还可供从事理论计算工作的研究人员参考。
组合数学 豆瓣
Introductory Combinatorics
作者: Richard A.Brualdi 出版社: 机械工业出版社 2009 - 3
《组合数学(英文版)(第5版)》英文影印版由Pearson Education Asia Ltd.授权机械工业出版社独家出版。未经出版者书面许可,不得以任何方式复制或抄袭奉巾内容。仅限于中华人民共和国境内(不包括中国香港、澳门特别行政区和中同台湾地区)销售发行。《组合数学(英文版)(第5版)》封面贴有Pearson Education(培生教育出版集团)激光防伪标签,无标签者不得销售。English reprint edition copyright@2009 by Pearson Education Asia Limited and China Machine Press.
Original English language title:Introductory Combinatorics,Fifth Edition(ISBN978—0—1 3-602040-0)by Richard A.Brualdi,Copyright@2010,2004,1999,1992,1977 by Pearson Education,lnc. All rights reserved.
Published by arrangement with the original publisher,Pearson Education,Inc.publishing as Prentice Hall.
For sale and distribution in the People’S Republic of China exclusively(except Taiwan,Hung Kong SAR and Macau SAR).
数理逻辑 豆瓣
A Mathematical Introduction to Logic, Second Edition
作者: (美)Herbert B. Enderton 著 出版社: 人民邮电出版社 2006 - 1
本书是数理逻辑方面的经典教材。书中涵盖了命题逻辑、一阶逻辑、不可判定性以及二阶逻辑等方面的内容,并且包含本书是数理逻辑方面的经典教材。书中涵盖了命题逻辑、一阶逻辑、不可判定性以及二阶逻辑等方面的内容,并且包含了与计算机科学有关的主题,如有限模型。本书特点是:内容可读性强;组织结构更灵活,授课教师可根据教学需要节选本书的内容;反映了近几年来理论计算机科学对逻辑学产生的影响;包含较多的示例和说明。本书适合作为计算机及相关专业本科生和研究生数理逻辑课程的教材。.
本书是数理逻辑方面的经典教材,以可读性强而著称,在美国大学中采用率极高,麻省理工学院、加州大学伯克利分校、哥伦比亚大学、康奈尔大学等众多名校均用它作为教材。本版章节组织更加灵活,增加了与计算机科学相关的主题(比如有限模型),还增加了一些示例和阐释文字,更适合本科生和研究生数理逻辑课程使用。.