機率論(Ross/A First Course in Probability 8e )

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【中文翻譯書】 書名：機率論 修訂版 原文書名 : A First Course in Probability 8/E 作者 : Sheldon Ross 譯者 : 朱蘊鑛 出版社 : 華泰 出版日期 : 2012/07 ISBN : 9789862801543 內容簡介 　　本書針對具備微積分知識並主修數學、統計、工程和科學（包含資訊科學、生物科學、社會科學和管理科學）的學生介紹機率論，除了說明機率論的數學內涵並藉由大量的範例來介紹機率論的應用。 　　第1章提出組合分析之基本原理，它對於計算機率相當實用。 　　 　　第2章介紹機率論之公設並證明它們可用於計算各式各樣有趣的機率。 　　 　　第3章介紹條件機率與獨立事件等非常重要的主題。藉由一系列的範例，我們說明當某部分資訊可用時，條件機率如何幫助我們計算機率。 　　 　　第4到第6章介紹隨機變數的概念。第4章介紹離散隨機變數，第5章介紹連續隨機變數，而第6章介紹聯合隨機變數。 　　第7章介紹期望值的其他性質，提出許多範例說明隨機變數之和的期望值等於他們個別的期望值之和這個結果的功能。 　　第8章提出機率論主要的理論結果，並證明強大數法則和中央極限定理。 　　第9章介紹一些其他的專題，例如馬可夫鏈、卜瓦松過程和資訊編碼理論。 　　第10章則介紹模擬。 　　在本書中每章最後給了兩組習題，第1組為練習題，而第2組為自我評量，並且在本書最後附有自我評量的詳細解答，應可增進讀者之學習成效以及提升應付校內外機率論科目之考試能力，特別是研究所之入學考試。 作者簡介 Sheldon Ross 　 　　現職：University of Southern California 　　學歷：Ph.D. in statistics at Stanford University 譯者簡介 朱蘊(金廣) 　 　　現職：國立臺中科技大學應用統計系教授兼系主任 　　學歷：清華大學統計所博士 目錄 第1章 組合分析 第2章 機率之公設 第3章 條件機率與獨立性 第4章 隨機變數 第5章 連續隨機變數 第6章 聯合分配之隨機變數 第7章 期望值的性質 第8章 極限定理 第9章 機率中另外的專題 第10章 模擬

Discrete Mathematics and Its Applications (8版)

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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

INTRODUCTION TO MATHEMATICAL STATISTICS (8版)

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Introduction to Mathematical Statistics, Global Edition ISBN13：9781292264769 出版社：Pearson Education Limited 作者：Robert V. Hogg;Joeseph McKean;Allen T. Craig 裝訂／頁數：平裝／760頁 規格：20.7cm*25.5cm*2.1cm (高/寬/厚) 版次：8 出版日：2019/11/05 內容簡介 　　Comprehensive coverage of mathematical statistics – with a proven approach 　　Introduction to Mathematical Statistics by Hogg, McKean, and Craig enhances student comprehension and retention with numerous, illustrative examples and exercises. Classical statistical inference procedures in estimation and testing are explored extensively, and the text’s flexible organization makes it ideal for a range of mathematical statistics courses. 　　Substantial changes to the 8th Edition – many based on user feedback – help students appreciate the connection between statistical theory and statistical practice, while other changes enhance the development and discussion of the statistical theory presented. 　　1. Many additional real data sets to illustrate statistical methods or compare methods. 　　2. Expanded use of the statistical software R, a powerful statistical language which is free and can run on all three main platforms. However, instructors can choose another statistical package if desired. 　　3. Downloadable, supplemented mathematical review material in Appendix A: reviews sequences, infinite series, differentiation, and integration (univariate and bivariate). 　　4. Expanded discussion of iterated integrals, with added figures to clarify discussion. 　　5. A new subsection on the bivariate normal distribution begins the section on the multivariate normal distribution in Chapter 3 (Some Special Distributions). 　　6. Several important topics have been added, including Tukey’s multiple comparison procedure in Chapter 9 (Inferences About Normal Models)and confidence intervals for the correlation coefficients found in Chapters 9 and 10 (Nonparametric and Robust Statistics). 　　7. Discussion on standard errors for estimates obtained by bootstrapping the sample is now offered in Chapter 7 (Sufficiency). 　　Several topics that were discussed in the Exercises are now discussed in the text, including quantiles in Section 1.7.1 and hazard functions in Section 3.3. 目錄 Ch 1 Probability and Distributions Ch 2 Multivariate Distributions Ch 3 Some Special Distributions Ch 4 Some Elementary Statistical Inferences Ch 5 Consistency and Limiting Distributions Ch 6 Maximum Likelihood Methods Ch 7 Sufficiency Ch 8 Optimal Tests of Hypotheses Ch 9 Inferences About Normal Models Ch10 Nonparametric and Robust Statistics Ch11 Bayesian Statistics

STATISTICAL INFERENCE 2/e (2版)

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【原文書】 書名：Statistical Inference 2/E 作者：George Casella 出版社：CENGAGE ISBN：9780534243128 Table of contents 1. Probability Theory. Set Theory. Probability Theory. Conditional Probability and Independence. Random Variables. Distribution Functions. Density and Mass Functions. Exercises. Miscellanea. 2. Transformations and Expectations. Distribution of Functions of a Random Variable. Expected Values. Moments and Moment Generating Functions. Differentiating Under an Integral Sign. Exercises. Miscellanea. 3. Common Families of Distributions. Introductions. Discrete Distributions. Continuous Distributions. Exponential Families. Locations and Scale Families. Inequalities and Identities. Exercises. Miscellanea. 4. Multiple Random Variables. Joint and Marginal Distributions. Conditional Distributions and Independence. Bivariate Transformations. Hierarchical Models and Mixture Distributions. Covariance and Correlation. Multivariate Distributions. Inequalities. Exercises. Miscellanea. 5. Properties of a Random Sample. Basic Concepts of Random Samples. Sums of Random Variables from a Random Sample. Sampling for the Normal Distribution. Order Statistics. Convergence Concepts. Generating a Random Sample. Exercises. Miscellanea. 6. Principles of Data Reduction. Introduction. The Sufficiency Principle. The Likelihood Principle. The Equivariance Principle. Exercises. Miscellanea. 7. Point Estimation. Introduction. Methods of Finding Estimators. Methods of Evaluating Estimators. Exercises. Miscellanea. 8. Hypothesis Testing. Introduction. Methods of Finding Tests. Methods of Evaluating Test. Exercises. Miscellanea. 9. Interval Estimation. Introduction. Methods of Finding Interval Estimators. Methods of Evaluating Interval Estimators. Exercises. Miscellanea. 10. Asymptotic Evaluations. Point Estimation. Robustness. Hypothesis Testing. Interval Estimation. Exercises. Miscellanea. 11. Analysis of Variance and Regression. Introduction. One-way Analysis of Variance. Simple Linear Regression. Exercises. Miscellanea. 12. Regression Models. Introduction. Regression with Errors in Variables. Logistic Regression. Robust Regression. Exercises. Miscellanea. Appendix. Computer Algebra. References.

Linear Algebra with Applications (10版)

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原文書資訊 書名:Linear Algebra with Applications Global Edition 10/E 2021 <PH> 作者: LEON ISBN: 9781292354866 出版社: Pearson 出版年: 2021年 書籍目錄: 1. Matrices and Systems of Equations 2. Determinants 3. Vector Spaces 4. Linear Transformations 5. Orthogonality 6. Eigenvalues 7. Numerical Linear Algebra 8. Canonical Forms Appendix: MATLAB Answers to Selected Exercises 中文書資訊 書名: 線性代數 Linear Algebra with Applications 作者: LEON/ 蔡政穆 ISBN: 9789862803424 出版社: 鼎隆 出版年: 2017年 書籍目錄: 第1章 矩陣與方程式系統 第2章 行列式 第3章 向量空間 第4章 線性轉換 第5章 正交 第6章 特徵值 第7章 數值線性代數 附錄 MATLAB 精選習題解答

Principles of Mathematical Analysis 3/e 2023 Edition (3版)

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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

Fundamentals of Data Structures in C (2版)

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原文書資訊 書名:Fundamentals of Data Structures in C 2008 978-0-929306-40-7,2/E <Silicon Press> 作者: HOROWITZ ISBN: 9780929930640 出版社: Silicon Press 出版年: 2007年 中文書資訊 書名: 基礎資料結構使用C (第二版) 作者: Horowitz/ 蔡錫鈞 ISBN: 9789868359710 出版社: 開發 出版年: 2008年

Mathematical Statistics With Applications (7版)

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(此書代訂須附用書資料：學校、系所、老師大名) Mathematical Statistics With Applications 7/E 2008 (USE) 作/ 譯者：Wackerly/Mendenhall/Schaeffer ISBN：9780495110811 年份：2008 書號：00107461 開數：24*19 頁數：912

Fundamentals of Data Structures in C++ (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

A First Course in Differential Equations with Modeling Applications (Asia Edition) (12版)

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【簡介】 Straightforward and easy to read, Zill's A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 12th EDITION, gives you a thorough overview of the topics typically taught in a first course in differential equations. Your study of differential equations and its applications is supported by a bounty of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions and more. 【目錄】 Ch 1 Introduction to Differential Equations Ch 2 First-Order Differential Equations Ch 3 Modeling with First-Order Differential Equations Ch 4 Higher-Order Diffential Equations Ch 5 Modeling with Higher-Order Differential Equations Ch 6 Series Solutions of Linear Equations Ch 7 The Laplace Transform Ch 8 Systems of Lineasr Differential Equations Ch 9 Numerical Solutions of Ordinary Differential Equations