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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
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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
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【書籍印製時偶有輕微墨點,不介意再下單】 【中文翻譯書】 書名 : 線性代數習題詳解 第四版 原文書名 : Linear Algebras 4/E 原著 : Stephen H. Friedberg 作者 : 劉勇 ISBN： 9789571206356 目錄 第一章 向題空間 第二章 線性變換與矩陣 第三章 基本矩陣運算與線性方程組 第四章 行列式 第五章 對角化 第六章 內積空間 第七章 正準形式
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Principles of Mathematical Analysis 3/e 2023 Edition 作者：Walter Rudin ISBN：9786269708116 版次：3 年份：2023 出版商：McGraw-Hill 頁數/規格：342頁/平裝單色 Description This book is intended to serve as a text for the course in analysis that is usually taken by advanced undergraduates or by first-year students who study mathematics. NEW to This Edition The material on functions of several variables in Chapter 9 is significantly rewritten, with many details filled in, and with more examples and more motivation. The proof of the inverse function theorem is simplified by means of the fixed point theorem about contraction mappings. Differential forms are discussed in much greater detail. Several applications of Stokes' theorem are included. The Riemann-Stieltjes integral in Chapter 6 has been trimmed a bit. A short do-it-yourself section on the gamma function has been added to Chapter 8. There is a large number of new exercises throughout the book, most of them with fairly detailed hints. Several references to articles appearing in the American Mathematical Monthly and in Mathematics Magazine are included for students to develop the habit of looking into the journal literature. 目錄 Table of Contents Chapter 1: The Real and Complex Number Systems Chapter 2: Basic Topology Chapter 3: Numerical Sequences and Series Chapter 4: Continuity Chapter 5: Differentiation Chapter 6: The Riemann-Stieltjes Integral Chapter 7: Sequences and Series of Functions Chapter 8: Some Special Functions Chapter 9: Functions of Several Variables Chapter 10: Integration of Differential Forms Chapter 11: The Lebesgue Theory
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書名：Discrete Mathematics and Its Applications 8/E 作者：Rosen 出版社：McGraw-Hill 出版日期：2018/08/00 ISBN：9781260091991
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書名：Differential Equations with Boundary-Value Problems 9E (Metric Version) 作者：ZILL 出版社：CENGAGE 出版日期：2018/00/00 ISBN：9781337559881 Table of Contents: 1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. 2. FIRST-ORDER DIFFERENTIAL EQUATIONS. 3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS. 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS. 5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS 6. SERIES SOLUTIONS OF LINEAR EQUATIONS. 7. THE LAPLACE TRANSFORM. 8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS. 9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. 10. SYSTEMS OF NONLINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS. 11. FOURIER SERIES. 12. BOUNDARY-VALUE PROBLEMS IN RECTANGULAR COORDINATES. 13. BOUNDARY-VALUE PROBLEMS IN OTHER COORDINATE SYSTEMS. 14. INTEGRAL TRANSFORMS. 15. NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS. Appendices
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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。
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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
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Calculus：Early Transcendentals, Metric Edition ISBN13：9780357113516 出版社：Cengage Learning; Inc 作者：James Stewart (McMaster University);Saleem (California State University Watson Long Beach);Daniel K. Clegg (Palomar College) 裝訂／頁數：平裝／1408頁 版次：9 出版日：2021/01/17 目錄 Preface. To the Student. Diagnostic Tests. A Preview of Calculus. 1. FUNCTIONS AND MODELS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Exponential Functions. Inverse Functions and Logarithms. Review. Principles of Problem Solving. 2. LIMITS AND DERIVATIVES. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. The Precise Definition of a Limit. Continuity. Limits at Infinity; Horizontal Asymptotes. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. Review. Problems Plus. 3. DIFFERENTIATION RULES. Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Discovery Project: Families of Implicit Curves. Derivatives of Logarithmic Functions and Inverse Trigonometric Functions. Rates of Change in the Natural and Social Sciences. Exponential Growth and Decay. Applied Project: Controlling Red Blood Cell Loss During Surgery. Related Rates. Approximations and Differentials. Discovery Project: Taylor Polynomials. Hyperbolic Functions. Review. Problems Plus. 4. APPLICATIONS OF DIFFERENTIATION. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. The Mean Value Theorem. What Derivatives Tell Us about the Shape of a Graph. Indeterminate Forms and l'Hospital's Rule. Writing Project: The Origins of l'Hospital's Rule. Summary of Curve Sketching. Graphing with Calculus and Technology. Optimization Problems. Applied Project: The Shape of a Can. Applied Project: Planes and Birds: Minimizing Energy. Newton's Method. Antiderivatives. Review. Problems Plus. 5. INTEGRALS. The Area and Distance Problems. The Definite Integral. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Indefinite Integrals and the Net Change Theorem. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Review. Problems Plus. 6. APPLICATIONS OF INTEGRATION. Areas Between Curves. Applied Project: The Gini Index. Volumes. Volumes by Cylindrical Shells. Work. Average Value of a Function. Applied Project: Calculus and Baseball. Applied Project: Where to Sit at the Movies. Review. Problems Plus. 7. TECHNIQUES OF INTEGRATION. Integration by Parts. Trigonometric Integrals. Trigonometric Substitution. Integration of Rational Functions by Partial Fractions. Strategy for Integration. Integration Using Tables and Technology. Discovery Project: Patterns in Integrals. Approxi
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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
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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）
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書名：Linear Algebra and Its Applications 4/e 作者：STRANG 出版社：Cengage 出版日期：2006/00/00 ISBN：9780030105678 內容簡介 ●Offers a large number of applications to physics, engineering, probability and statistics, economics, and biology. These are not tacked on at the end; they are part of the mathematics. ●Includes an optional section on the Fast Fourier Transform. Students discover how this outstanding algorithm fits into linear algebra and introduces complex numbers. ●Recognizes what the computer can do in linear algebra, without being dominated by it. ●Contains a wealth of exercises that appear in the sections and in the chapter reviews. 目錄 1. MATRICES AND GAUSSIAN ELIMINATION. 2. VECTOR SPACES. 3. ORTHOGONALITY. 4. DETERMINANTS. 5. EIGENVALUES AND EIGENVECTORS. 6. POSITIVE DEFINITE MATRICES. 7. COMPUTATIONS WITH MATRICES. 8. LINEAR PROGRAMMING AND GAME THEORY. Appendix A: Intersection, Sum, and Product of Spaces. Appendix B: The Jordan Form. Solutions to Selected Exercises.
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【原文書】 書名：Linear Algebra: A Modern Introduction 4/E 作者：Poole 出版社：Cengage 出版日期：2014/01/08 ISBN：9781285463247
