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Basic Probability Theory wi...
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 instructors who adopt the text for their course
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monografia Rebiun04985206 https://catalogo.rebiun.org/rebiun/record/Rebiun04985206 a cr nn 008mamaa 100715s2009 xxu| s |||| 0|eng d 9780387749952 978-0-387-74995-2 10.1007/978-0-387-74995-2 doi UR0364716 CUNEF 991000429513608131 UPVA 996881888903706 UAM 991007632777804211 Lefebvre, Mario. author Basic Probability Theory with Applications Recurso electrónico] by Mario Lefebvre New York, NY Springer New York 2009 New York, NY New York, NY Springer New York online resource Springer Undergraduate Texts in Mathematics and Technology 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 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 instructors who adopt the text for their course Mathematics Computer science Distribution (Probability theory) Engineering mathematics Economics, Mathematical Mathematics Probability Theory and Stochastic Processes Appl.Mathematics/Computational Methods of Engineering Probability and Statistics in Computer Science Game Theory/Mathematical Methods SpringerLink Book Series (Online Service) Springer Undergraduate Texts in Mathematics and Technology(Springer)