Applied Probability and Statistics for Scientists and Engineers (2006. X, 450 p. w. 30 figs.)

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Applied Probability and Statistics for Scientists and Engineers (2006. X, 450 p. w. 30 figs.)

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  • 製本 Hardcover:ハードカバー版/ページ数 376 p./サイズ 58 illus.
  • 言語 ENG
  • 商品コード 9780387284545

基本説明

This textbook is designed for a one-term course on Probability and Statistics for Applied Mathematics, Engineering and Computer Science students. Enriched by a wealth of historical notes, real-life exercises and solutions test-driven in the author's class.

Full Description

This book is based mainly on the lecture notes that I have been using since 1993 for a course on applied probability for engineers that I teach at the Ecole Polytechnique de Montreal. This course is given to electrical, computer and physics engineering students, and is normally taken during the second or third year of their curriculum. Therefore, we assume that the reader has acquired a basic knowledge of differential and integral calculus. The main objective of this textbook is to provide a reference that covers the topics that every student in pure or applied sciences, such as physics, computer science, engineering, etc., should learn in probability theory, in addition to the basic notions of stochastic processes and statistics. It is not easy to find a single work on all these topics that is both succinct and also accessible to non-mathematicians. Because the students, who for the most part have never taken a course on prob­ ability theory, must do a lot of exercises in order to master the material presented, I included a very large number of problems in the book, some of which are solved in detail. Most of the exercises proposed after each chapter are problems written es­ pecially for examinations over the years. They are not, in general, routine problems, like the ones found in numerous textbooks.

Contents

Introduction.- Elementary Probabilities.- Random Variables.- Random Vectors.- Stochastic Processes.- Estimation and Testing.- Simple Linear Regression.- Appendices: Mathematical Formulas.- Quantiles - Sampling Distributions.- Classification of the Exercises.- Answers - Multiple Choice Questions.- Answers to Selected Exercises.

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