Suitable for advanced undergraduate and graduate students, this text presents the general properties of partial differential equations, including the... elementary theory of complex variables. Topics include one-dimensional wave equation, properties of elliptic and parabolic equations, separation of variables and Fourier series, nonhomogeneous problems, and analytic functions of a complex variable. Solutions. 1965 edition.

A First Course in Probability, Eighth Edition, features clear and intuitive explanations of the mathematics of probability theory, outstanding problem... sets, and a variety of diverse examples and applications. This book is ideal for an upper-level undergraduate or graduate level introduction to probability for math, science, engineering and business students. It assumes a background in elementary calculus.

This market leader is written as an elementary introduction to the mathematical theory of probability for students in mathematics, engineering, and the... sciences who possess the prerequisite knowledge of elementary calculus. A major thrust of the Fifth Edition has been to make the book more accessible to today's students. The exercise sets have been revised to include more simple, mechanical problems and a new section of Self-Test Problems with fully worked out solutions conclude each chapter. In addition, many new applications have been added to demonstrate the importance of probability in real situations. A software diskette, referenced in text and packaged with each copy of the book, provides an easy to use tool for students to derive probabilities for binomial, Poisson, and normal random variables, illustrate and explore the central limit theorem, work with the strong law of large numbers, and more.

This market-leading introduction to probability features exceptionally clear explanations of the mathematics of probability theory and explores its... many diverse applications through numerous interesting and motivational examples. The outstanding problem sets are a hallmark feature of this book. Provides clear, complete explanations to fully explain mathematical concepts. Features subsections on the probabilistic method and the maximum-minimums identity. Includes many new examples relating to DNA matching, utility, finance, and applications of the probabilistic method. Features an intuitive treatment of probability—intuitive explanations follow many examples. The Probability Models Disk included with each copy of the book, contains six probability models that are referenced in the book and allow readers to quickly and easily perform calculations and simulations.

The Cold War was as much a battle of ideas as a series of military and diplomatic confrontations, and movies were a prime battleground for this cultural... combat. As Tony Shaw and Denise Youngblood show, Hollywood sought to export American ideals in movies like Rambo, and the Soviet film industry fought back by showcasing Communist ideals in a positive light, primarily for their own citizens. The two camps traded cinematic blows for more than four decades. The first book-length comparative survey of cinema's vital role in disseminating Cold War ideologies, Shaw and Youngblood's study focuses on ten films--five American and five Soviet--that in both obvious and subtle ways provided a crucial outlet for the global "debate" between democratic and communist ideologies. For each nation, the authors outline industry leaders, structure, audiences, politics, and international reach, and explore the varied relationships linking each film industry to its respective government. They then present five comparative case studies, each pairing an American with a Soviet film: Man on a Tightrope with The Meeting on the Elbe; Roman Holiday with Spring on Zarechnaya Street; Fail-Safe with Nine Days in One Year; Bananas with Officers; Rambo: First Blood Part II with Incident at Map Grid 36-80. Shaw breathes new life into familiar American films by Elia Kazan and Woody Allen, while Youngblood helps readers comprehend Soviet films most have never seen. Collectively, their commentaries track the Cold War in its entirety--from its formative phase through periods of thaw and self-doubt to the resurgence of mutual animosity during the Reagan years--and enable readers to identify competing core propaganda themes such as decadence versus morality, technology versus humanity, and freedom versus authority. As the authors show, such themes blurred notions regarding "propaganda" and "entertainment," terms that were often interchangeable and mutually reinforcing during the Cold War. Featuring engaging commentary and evocative images from the films discussed, Cinematic Cold War offers a shrewd analysis of how the silver screen functioned on both sides of the Iron Curtain. As such it should have great appeal for anyone interested in the Cold War or the cinematic arts.

Explanation of the basic concepts and methods of statistics requires a reasonably good mathematical background, at least at a first-year-level knowledge... of calculus. Most of the statistical software explain how to conduct data analysis, but do not explain when to apply and when not to apply it. Keeping this in view, we try to explain the basic concepts of probability and statistics for students with an understanding of a first course in calculus at the undergraduate level. Designed as a textbook for undergraduate and first-year graduate students in statistics, bio-statistics, social sciences and business administration programs as well as undergraduates in engineering sciences and computer science programs, it provides a clear exposition of the theory of probability along with applications in statistics. The book contains a large number of solved examples and chapter-end exercises designed to reinforce the probability theory and emphasize statistical applications. Contents: Why Statistics?; Probability on Discrete Sample Spaces; Discrete Probability Distributions; Continuous Probability Distributions; Multivariate Probability Distributions; Functions of Random Vectors; Approximations to Some Probability Distributions; Estimation; Interval Estimation and Testing of Hypotheses; Linear Regression and Correlation.

Completely revised and updated, A First Course in Quality Engineering: Integrating Statistical and Management Methods of Quality, Second Edition... contains virtually all the information an engineer needs to function as a quality engineer. The authors not only break things down very simply but also give a full understanding of why each topic covered is essential to learning proper quality management. They present the information in a manner that builds a strong foundation in quality management without overwhelming readers. See what’s new in the new edition: Reflects changes in the latest revision of the ISO 9000 Standards and the Baldrige Award criteria Includes new mini-projects and examples throughout Incorporates Lean methods for reducing cycle time, increasing throughput, and reducing waste Contains increased coverage of strategic planning This text covers management and statistical methods of quality engineering in an integrative manner, unlike other books on the subject that focus primarily on one of the two areas of quality. The authors illustrate the use of quality methods with examples drawn from their consulting work, using a reader-friendly style that makes the material approachable and encourages self-study. They cover the must-know fundamentals of probability and statistics and make extensive use of computer software to illustrate the use of the computer in solving quality problems. Reorganized to make the book suitable for self study, the second edition discusses how to design Total Quality System that works. With detailed coverage of the management and statistical tools needed to make the system perform well, the book provides a useful reference for professionals who need to implement quality systems in any environment and candidates preparing for the exams to qualify as a certified quality engineer (CQE).

Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the... inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by... looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable. In this way, the majority of the text can be read without the prerequisite of a course in functional analysis. The first part of this text is devoted to studying functions of one variable. Several of the topics treated occur in courses on real analysis or measure theory. Here, the perspective emphasizes their applications to Sobolev functions, giving a very different flavor to the treatment. This elementary start to the book makes it suitable for advanced undergraduates or beginning graduate students. Moreover, the one-variable part of the book helps to develop a solid background that facilitates the reading and understanding of Sobolev functions of several variables. The second part of the book is more classical, although it also contains some recent results. Besides the standard results on Sobolev functions, this part of the book includes chapters on BV functions, symmetric rearrangement, and Besov spaces. The book contains over 200 exercises.

A FIRST COURSE IN STATISTICAL METHODS addresses a pressing need in the methods course-a shorter text designed for a one-term course. By selecting and... revising material from their best-selling two-semester text, AN INTRODUCTION TO STATISTICAL METHODS AND DATA ANALYSIS, Fifth Edition, the authors created an ideal book for a one-term course in statistical methods. Based on the belief that statistics is a thought process tied to the scientific method, the text utilizes a 5-step approach: 1) defining the problem, 2) collecting data, 3) summarizing data, 4) analyzing and interpreting the data, and 5) communicating the results of the analysis.

This is the only introduction you'll need to start programming in R, the open-source language that is free to download, and lets you adapt the source... code for your own requirements. Co-written by one of the R Core Development Team, and by an established R author, this book comes with real R code that complies with the standards of the language. Unlike other introductory books on the ground-breaking R system, this book emphasizes programming, including the principles that apply to most computing languages, and techniques used to develop more complex projects. Learning the language is made easier by the frequent exercises and end-of-chapter reviews that help you progress confidently through the book. Solutions, datasets and any errata will be available from the book's web site. The many examples, all from real applications, make it particularly useful for anyone working in practical data analysis.

This self-contained and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of... students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, which are explained in a concise, yet rigorous presentation. With abundant practice exercises and thorough explanations, A First Course in Statistics for Signal Analysis is an excellent tool for both teaching students and training laboratory scientists and engineers. Improvements in the second edition include considerably expanded sections, enhanced precision, and more illustrative figures.

Classic, yet contemporary. Theoretical, yet applied. McClave & Sincich’s Statistics gives you the best of both worlds. This text offers a... trusted, comprehensive introduction to statistics that emphasizes inference and integrates real data throughout. The authors stress the development of statistical thinking, the assessment of credibility, and value of the inferences made from data.   The Twelfth Edition infuses a new focus on ethics, which is critically important when working with statistical data. Chapter Summaries have a new, study-oriented design, helping students stay focused when preparing for exams. Data, exercises, technology support, and Statistics in Action cases are updated throughout the book.  

The field of applied probability has changed profoundly in the past twenty years. The development of computational methods has greatly contributed to a... better understanding of the theory. A First Course in Stochastic Models provides a self-contained introduction to the theory and applications of stochastic models. Emphasis is placed on establishing the theoretical foundations of the subject, thereby providing a framework in which the applications can be understood. Without this solid basis in theory no applications can be solved.Provides an introduction to the use of stochastic models through an integrated presentation of theory, algorithms and applications.Incorporates recent developments in computational probability.Includes a wide range of examples that illustrate the models and make the methods of solution clear.Features an abundance of motivating exercises that help the student learn how to apply the theory.Accessible to anyone with a basic knowledge of probability.A First Course in Stochastic Models is suitable for senior undergraduate and graduate students from computer science, engineering, statistics, operations resear ch, and any other discipline where stochastic modelling takes place. It stands out amongst other textbooks on the subject because of its integrated presentation of theory, algorithms and applications.