Probability Concepts and Theory for Engineers 1st Edition by Harry Schwarzlander 0470748559 9780470748558

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ISBN 10: 0470748559 

ISBN 13: 9780470748558

Author:  Harry Schwarzlander 

This book offers a detailed explanation of the basic models and mathematical principles used in applying probability theory to practical problems. It gives the reader a solid foundation for formulating and solving many kinds of probability problems for deriving additional results that may be needed in order to address more challenging questions, as well as for proceeding with the study of a wide variety of more advanced topics.

 

Probability Concepts and Theory for Engineers 1st Table of contents:

Part I The Basic Model

Part I Introduction 

Section 1 Dealing with ‘Real-World’ Problems

Section 2 The Probabilistic Experiment

Section 3 Outcome 

Section 4 Events 

Section 5 The Connection to the Mathematical World 

Section 6 Elements and Sets

Section 7 Classes of Sets 

Section 8 Elementary Set Operations 

Section 9 Additional Set Operations 

Section 10 Functions 33

Section 11 The Size of a Set 

Section 12 Multiple and Infinite Set Operations

Section 13 More About Additive Classes 

Section 14 Additive Set Functions 

Section 15 More about Probabilistic Experiments 

Section 16 The Probability Function 

Section 17 Probability Space 

Section 18 Simple Probability Arithmetic

Part I Summary 

Part II The Approach to Elementary Probability Problems

Part II Introduction 

Section 19 About Probability Problems 75

Section 20 Equally Likely Possible Outcomes

Section 21 Conditional Probability

Section 22 Conditional Probability Distributions

Section 23 Independent Events

Section 24 Classes of Independent Events 

Section 25 Possible Outcomes Represented as Ordered k-Tuples

Section 26 Product Experiments and Product Spaces 

Section 27 Product Probability Spaces 

Section 28 Dependence Between the Components in an Ordered k-Tuple 

Section 29 Multiple Observations Without Regard to Order 

Section 30 Unordered Sampling with Replacement 

Section 31 More Complicated Discrete Probability Problems

Section 32 Uncertainty and Randomness 

Section 33 Fuzziness 

Part II Summary 

Part III Introduction to Random Variables

Part III Introduction 

Section 34 Numerical-Valued Outcomes 

Section 35 The Binomial Distribution 

Section 36 The Real Numbers 

Section 37 General Definition of a Random Variable 

Section 38 The Cumulative Distribution Function 

Section 39 The Probability Density Function 

Section 40 The Gaussian Distribution 

Section 41 Two Discrete Random Variables 

Section 42 Two Arbitrary Random Variables 

Section 43 Two-Dimensional Distribution Functions 

Section 44 Two-Dimensional Density Functions 

Section 45 Two Statistically Independent Random Variables 

Section 46 Two Statistically Independent Random Variables—Absolutely Continuous Case 

 

 

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