Mario Lefebvre

Basic Probability Theory with Applications (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book presents elementary probability theory with interesting and well-chosen applications that illustrate the theory. An introductory chapter reviews the basic elements of differential calculus which are used in the material to follow. The theory is presented systematically, beginning with the main results in elementary probability theory. This is followed by material on random variables. Random vectors, including the all important central limit theorem, are treated next. The last three chapters concentrate on applications of this theory in the areas of reliability theory, basic queuing models, and time series. Examples are elegantly woven into the text and over 400 exercises reinforce the material and provide students with ample practice.

This textbook can be used by undergraduate students in pure and applied sciences such as mathematics, engineering, computer science, finance and economics.

A separate solutions manual is available to instructorswho adopt the text for their course.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 340
• Erscheinungstermin: 3. Oktober 2009
• Englisch
• ISBN-13: 9780387749952
• Artikelnr.: 43732798

Autorenporträt

Inhaltsangabe

Preface.- Review of Differential Calculus.- Elementary Probability.- Random Variables.- Random Vectors.- Reliability.- Queueing.- Time Series.- Appendix A: List of Symbols and Abbreviations.- Appendix B: Statistical Tables.- Appendix C: Solutions to 'Solved Exercises'.- Appendix D: Answers to Even-Numbered Exercises.- Appendix E: Answers to Multiple-Choice Questions.- References.- Index.

Rezensionen

From the reviews: "This book's introductory sections on probability theory are typical of most textbooks in the content of presentation ... . There are many examples with detailed solutions and a large number of exercises are included at the ends of the chapters. ... used as a textbook for engineers, computer scientists and ... students in economics and finance will be able to understand it. This book would be my choice for a textbook if I were to teach a course in probability theory for math majors." (Charles Ashbacher, The Mathematical Association of America, November, 2009) "This textbook is designed for a course in probability theory at the undergraduate post-calculus level. ... The book should be a good choice for a course at the indicated level." (Gerald A. Heuer, Zentralblatt MATH, Vol. 1192, 2010)