離散數學 (7版)

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【中文翻譯書】 書名：離散數學 第七版 附光碟 原文書名 : Discrete Mathematics and Its Applications 7/E 作者 : Rosen 譯者 : 謝良瑜 陳志賢 出版社：東華 書號: 1803701 ISBN：9789861579115 <內容簡介> 隨著電腦科學的飛速發展，離散數學的重要性則日益彰顯。它為許多資訊科學課程提供了數學基礎，包括資料結構、演算法、資料庫理論、形式語言與作業系統等。如果沒有離散數學的相關數學基礎，學生在學習上述課程中，便會遇到較多的困難。此外，離散數學也包含了解決作業研究、化學、工程學、生物學等眾多領域的數學背景。Rosen教授所著之《離散數學》（Discrete Mathematics and its Applications, 7e）是一本文字淺顯易懂的數學書，提供豐富的習題、補充內容。作者使用精準的數學語言，但又不過度形式化與抽象化。此外，還補充重要數學家的生平簡介，更為抽象的數學概念增添了些許人文氣息，豐富了上課的趣味。 本書特色 　　本書非常強調數學推理，以及各種解題方式。大體而言，有五個重要的主題貫穿本書：  數學推理：本書一開始針對數理邏輯進行探討，討論證明時，建構證明的科學面和藝術面都會顧及。特別強調數學歸納法的技巧，藉由各種不同形態的範例進行說明。  組合分析：本書在討論如何列舉物件時，先從計數的基本技術開始。我們的重點在於使用組合分析來解決計數問題，以及演算法的解析，而不是直接套用公式。  離散結構：離散數學的課程應該要教學生如何處理離散結構──用以代表離散物件及其間關係之抽象的數學結構。離散結構包括集合、排列、關係、圖形、樹圖及有限狀態機器。  演算法思考：某些類別的問題可藉由演算法的明確敘述來解決。一旦演算法被清楚說明之後，就可建構電腦程式予以執行。描述演算法的方式，除了日常語言之外，也會用到容易明瞭的虛擬碼形式。  應用與模型化：本書探討了許多關於資訊科學和資料網路方面的應用，另外還包括化學、植物學、動物學、語言學、地理、商業、網際網路等各種領域。將離散數學模型化是極為重要的一種解題技巧，學生可以從習題中揣摩發展，建構出屬於自己的模型。 <章節目錄> 第1章　基礎：邏輯與證明 第2章　基本結構：集合、函數、序列、總和與矩陣 第3章　演算法 第4章　數論與密碼學 第5章　歸納與遞迴 第6章　計數 第7章　進階計數技巧 第8章　關係 第9章　圖形 第10章　樹圖 第11章　布林代數（CD） 附錄1　實數與正整數的公理（CD） 附錄2　指數函與對數函數（CD） 附錄3　虛擬碼（CD）

Siberschatz's OPERATING SYSTEM CONCEPTS (10版)

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原文書資訊 書名:OPERATING SYSTEM CONCEPTS 10/E GE 2019 <JW> 作者: SILBERSCHATZ ISBN: 9781119454083 出版社: John Wiley 出版年: 2019年 中文書資訊 書名: 作業系統 OPERATING SYSTEM CONCEPTS 作者: Silberschatz/ 吳庭育 ISBN: 9789865522506 出版社: 東華 出版年: 2021年

A First Course in Probability (10版)

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書名：A First Course in Probability 10/E 作者：ROSS 出版社：Pearson 出版日期：2019/11/00 ISBN：9781292269207 內容簡介 　　A First Course in Probability offers an elementary introduction to the theory of probability for students in mathematics, statistics, engineering, and the sciences. Through clear and intuitive explanations, it attempts to present not only the mathematics of probability theory, but also the many diverse possible applications of this subject through numerous examples. The 10th Edition includes many new and updated problems, exercises, and text material chosen both for inherent interest and for use in building student intuition about probability. 目錄 Ch 1 Combinatorial Analysis Ch 2 Axioms of Probability Ch 3 Conditional Probability and Independence Ch 4 Random Variables Ch 5 Continuous Random Variables Ch 6 Jointly Distributed Random Variables Ch 7 Properties of Expectation Ch 8 Limit Theorems Ch 9 Additional Topics in Probability Ch10 Simulation

Introduction to Algorithms (4版)

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【原文書】 書名：Introduction to Algorithms 4/e (美國原版精裝本) 作者: T. H. Cormen、C. E. Leiserson、R. L. Rivest、 C.Stein 出版社：MIT 出版日期: 2022/00/00 ISBN：9780262046305 內容簡介 A comprehensive update of the leading algorithms text, with new material on matchings in bipartite graphs, online algorithms, machine learning, and other topics. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. It covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers, with self-contained chapters and algorithms in pseudocode. Since the publication of the first edition, Introduction to Algorithms has become the leading algorithms text in universities worldwide as well as the standard reference for professionals. This fourth edition has been updated throughout. New for the fourth edition New chapters on matchings in bipartite graphs, online algorithms, and machine learning New material on topics including solving recurrence equations, hash tables, potential functions, and suffix arrays 140 new exercises and 22 new problems Reader feedback-informed improvements to old problems Clearer, more personal, and gender-neutral writing style Color added to improve visual presentation Notes, bibliography, and index updated to reflect developments in the field Website with new supplementary material Table of contents Preface xiii I Foundations Introduction 3 1 The Role of Algorithms in Computing 5 2 Getting Started 17 3 Characterizing Running Times 49 4 Divide-and-Conquer 76 5 Probabilistic Analysis and Randomized Algorithms 126 II Sorting and Order Statistics  Introduction 157 6 Heapsort 161 7 Quicksort 182 8 Sorting in Linear Time 205 9 Medians and Order Statistics 227 III Data Structures  Introduction 249 10 Elementary Data Structures 252 11 Hash Tables 272 12 Binary Search Trees 312 12 Red-Black Trees 331 IV Advanced Design and Analysis Techniques  Introduction 361 14 Dynamic Programming 362 15 Greedy Algorithms 417 16 Amortized Analysis 448 V Advanced Data Structures Introduction 477 17 Augmenting Data Structures 480 18 B-Trees 497 19 Data Structures for Disjoint Sets 520 VI Graph Algorithms  Introduction 547 20 Elementary Graph Algorithms 549 21 Minimum Spanning Trees 585 22 Single-Source Shortest Paths 604 23 All-Pairs Shortest Paths 646 24 Maximum Flow 670 25 Matchings in Bipartite Graphs 704 VII Selected Topics Introduction 745 26 Parallel Algorithms 748 27 Online Algorithms 791 28 Matrix Operations 819 29 Linear Programming 850 30 Polynomials and the FFT 877 31 Number-Theoretic Algorithms 903 32 String Matching 957 33 Machine-Learning Algorithms 1003 34 NP-Completeness 1042 35 Approximation Algorithms 1104 VIII Appendix: Mathematical Background Introduction 1139 A Summations 1140 B Sets, Etc. 1153 C Counting and Probability 1178 D Matrices 1214 Bibliography 1227 Index 1251

LINEAR ALGEBRA (4版)

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書名：Linear Algebra 4/E 作者：Friedberg / Insel / Spence 出版社：Pearson 出版日期：2013/00/00 ISBN：9781292026503

Introduction to Linear Algebra 6/e (6版)

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Introduction to Linear Algebra 6/e 作者：Gilbert Strang ISBN：9786269708109 年份：2023 出版商：New Moon Education 頁數/規格：440頁/平裝單色 Description Linear algebra now rivals or surpasses calculus in importance for people working in quantitative fields of all kinds: engineers, scientists, economists and business people. Gilbert Strang has taught linear algebra at MIT for more than 50 years and the course he developed has become a model for teaching around the world. His video lectures on MIT OpenCourseWare have been viewed over ten million times and his twelve textbooks are popular with readers worldwide. This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more active start. Then the book moves directly to the classical topics of linear equations, fundamental subspaces, least squares, eigenvalues and singular values – in each case expressing the key idea as a matrix factorization. The final chapters of this edition treat optimization and learning from data: the most active application of linear algebra today. Everything is explained thoroughly in Professor Strang's characteristic clear style. It is sure to delight and inspire the delight and inspire the next generation of learners. Table of Contents 1 Vectors and Matrices 2 Solving Linear Equations Ax = b 3 The Four Fundamental Subspaces 4 Orthogonality 5 Determinants 6 Eigenvalues and Eigenvectors 7 The Singular Value Decomposition (SVD) 8 Linear Transformations 9 Linear Algebra in Optimization 10 Learning from Data

DISCRETE MATHEMATICS WITH APPLICATIONS (Metric Version) (5版)

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書名：Discrete Mathematics with Applications 5/e 作者：Epp 出版社：Cengage 出版日期：2020/00/00 ISBN：9780357114087 內容簡介 ●Over 500 worked examples in problem-solution format guide students in building a conceptual understanding of how to solve problems. Proof solutions are intuitively developed in two steps, a discussion on how to approach the proof and a summary of the solution, allowing students the choice of faster or more deliberate instruction depending on how well they understand the problem. ●Flexible organization, allowing instructors the ability to mix core and optional topics easily to suit a wide variety of discrete math course syllabi and topic focus. ●Features, definitions, theorems, and exercise types are clearly marked and easily navigable, making the book an excellent reference that students will want to keep and continually refer back to in their later courses. ●A large number of computer science applications are included, both to motivate students and to ease their transition into more advanced computer science courses. ●Epp addresses inherent difficulties in understanding logic and language with very concrete and easy-to-conceptualize examples, an approach that helps students with a variety o better comprehend basic mathematical reasoning, and enables them to construct sound mathematical arguments. ●More than 2500 exercises provide ample practice for students, with numerous applied problems covering an impressive array of applications. 目錄 1.SPEAKING MATHEMATICALLY. 2.THE LOGIC OF COMPOUND STATEMENTS. 3.THE LOGIC OF QUANTIFIED STATEMENTS. 4.ELEMENTARY NUMBER THEORY AND METHODS OF PROOF. 5.SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION. 6.SET THEORY. 7.PROPERTIES OF FUNCTIONS. 8.PROPERTIES OF RELATIONS. 9.COUNTING AND PROBABILITY. 10.THEORY OF GRAPHS AND TREES. 11.ANALYSIS ALGORITHM EFFICIENCY. 12.REGULAR EXPRESSIONS AND FINITE-STATE AUTOMATA. Appendix A Properties of the Real Numbers Appendix B Solutions and Hints to Selected Exercises

基礎資料結構使用C++ (Fundamentals of Data Structures in C++, 2/e) (2版)

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原文書資訊 書名:Fundamentals of Data Structures in C++ 2007 <SP> 0-929306-37-6,2/E <SP> 作者: HOROWITZ ISBN: 9780929306377 出版社: SP 出版年: 2006年 中文書資訊 書名: 基礎資料結構使用C++ (第二版) 作者: Horowitz/ 戴顯權 ISBN: 9789868359703 出版社: 開發 出版年: 2007年

THOMAS' CALCULUS: EARLY TRANSCENDENTALS (13版)

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Thomas' Calculus: Early Transcendentals 13/e in SI Units 作者：George B. Thomas, Maurice D. Weir, Joel R. Hass ISBN：9781292163444 版次：13 年份：2016 出版商：Pearson Education 頁數/規格：1200頁/平裝彩色 參考網頁：Thomas' Calculus: Early Transcendentals 13/e Description Thomas’ Calculus: Early Transcendentals, Thirteenth Edition, introduces students to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded–always with the goal of developing technical competence while furthering students’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's students. Table of Contents 1 Functions 2 Limits and Continuity 3 Derivatives 4 Applications of Derivatives 5 Integrals 6 Applications of Definite Integrals 7 Integrals and Transcendental Functions 8 Techniques of Integration 9 First-Order Differential Equations 10 Infinite Sequences and Series 11 Parametric Equations and Polar Coordinates 12 Vectors and the Geometry of Space 13 Vector-Valued Functions and Motion in Space 14 Partial Derivatives 15 Multiple Integrals 16 Integrals and Vector Fields 17 Second-Order Differential Equations online Appendices A.1 Real Numbers and the Real Line A.2 Mathematical Induction A.3 Lines, Circles, and Parabolas A.4 Proofs of Limit Theorems A.5 Commonly Occurring Limits A.6 Theory of the Real Numbers A.7 Complex Numbers A.8 The Distributive Law for Vector Cross Products A.9 The Mixed Derivative Theorem and the Increment Theorem

離散與組合數學 (5版)

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離散與組合數學 ISBN13：9789861541075 出版社：台灣培生教育 作者：簡國清 譯 裝訂：平裝 出版日：2019/09 初刷9版 中國圖書分類：離散數學 內容簡介 強調演算法及應用。 在許多領域裡的演算法及應用被提出且遍及全書。 詳細的解釋。 不管是一個例題或是一個定理的證明，解釋被小心且無為不至的設計。陳述方式主要是集中在改進那些第一次見到這種型態教材的讀者之理解力。 習題。 任何數學教科書的習題角色是一個決定性角色，本書收錄了超過1900個習題，使讀者在練習時對習題所呈現的概念可再次複習。 各章之總結。 各章的最後一節提供涵蓋在該章的主要概念之總結及歷史回顧。

Discrete Mathematics and Its Applications 8/e (Annotated Edition) 導讀本 (8版)

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書名：Discrete Mathematics and Its Applications 8/E(離散數學導讀本) 作者：Rosen 出版社：麥格羅希爾 出版日期：2020/01/00 ISBN：9789863414254 內容簡介 離散數學是數學、計算機科學及電機工程的必修科目，也是其他工程相關系所的必選科目之一。而Kenneth H. Rosen教授所編寫的離散數學一書，自1988年發行初版以來，如今已修訂至第八版，本書挑選的十三章內容中，除了有最基礎的理論性課題外，還包含了與實用相關的課題。 　本書非常強調數學推理以及各種解題方式，並以五大重要的主題貫穿全書： ♦數學推理：本書強調數學歸納法的技巧，藉甶各種不同形態的範例進行說明。 ♦組合分析：重點在於使用組合分析來解決計數問題，以及演算法的解析，而不是直接套用公式。 ♦離散結構：包括集合、排列、關係、圖形、樹圖及有限狀態機器。 ♦演算法思考：某些類別的問題可藉由演算法的明確敍述來解決。一旦被清楚說明之後，就可建構電腦程式予以執行。 ♦應用與模型化：本書探討許多關於資訊科學和資料網路方面的應用，另外還包括化學、植物學、動物學、語言學、地理、商業、網際網路等各種領域。 　除了課文之外，每章平均有超過百則的練習題，書末並附有奇數練習題之解答，能提供同學豐富且多元的練習機會。