Probability Concepts in Engineering Emphasis on Applications to Civil and Environmental Engineering 2nd Edition by Alfredo Ang, Wilson Tang ISBN 047172064X  978-0471720645

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ISBN 10: 047172064X

ISBN 13: 978-0471720645

Author: Alfredo Ang, Wilson Tang

 The material in the book is intended for a first course on applied probability and statistics for engineering students at the sophomore or junior level, or for self study, stressing probabilistic modeling and the fundamentals of statistical inferences. The primary aim is to provide an in-depth understanding of the fundamentals for the proper application in engineering problems.

The second edition of this well-known book (previously titled Probability Concepts in Engineering Planning and Design) by Alfredo Ang and Wilson Tang, two world-renowned educators, has been revised to simplify understanding the fundamentals of probability and statistics for engineering students. The second edition includes many new and expanded topics, including hypothesis testing and confidence intervals in regression analysis. Students using this text will develop the ability to formulate and solve real-world problems in engineering. The authors accomplish this by explaining all the concepts and methods through a variety of relevant engineering and physical problems.

  Each basic principle is presented and illustrated through different examples relevant to engineering and the physical sciences, particularly civil and environmental engineering.  The exercise problems in each chapter further enhance understanding of basic concepts and reinforce a working knowledge of concepts and methods. The authors firmly believe that the easiest and most effective way for engineers to learn and master a new set of abstract principles is to apply them to a variety of applications.

Probability Concepts in Engineering Emphasis on Applications to Civil and Environmental Engineering 2nd Table of contents:

Introduction

• Overview of Probability Theory in Engineering

• Importance of Probability in Civil and Environmental Engineering

• Structure of the Book and Its Applications

Part I: Fundamentals of Probability Theory

1. Introduction to Probability

   • Basic Probability Concepts: Events, Sample Spaces, and Outcomes

   • Axioms of Probability and Theorems

   • Conditional Probability and Independence

2. Random Variables and Probability Distributions

   • Discrete and Continuous Random Variables

   • Common Probability Distributions: Binomial, Poisson, Normal, and Exponential

   • Cumulative Distribution Functions (CDF) and Probability Density Functions (PDF)

3. Expectation and Variance

   • Mean, Variance, and Standard Deviation

   • Higher Moments: Skewness and Kurtosis

   • The Role of Expectation in Engineering Analysis

4. Joint Probability Distributions

   • Bivariate and Multivariate Distributions

   • Covariance, Correlation, and Conditional Distributions

   • Applications in Systems with Multiple Random Variables

Part II: Statistical Inference and Data Analysis

5. Statistical Estimation

   • Point Estimation: Maximum Likelihood and Method of Moments

   • Confidence Intervals and Hypothesis Testing

   • Bias, Efficiency, and Consistency of Estimators

6. Regression and Correlation Analysis

   • Simple and Multiple Linear Regression

   • Model Fitting and Residual Analysis

   • Correlation Coefficients and Their Significance in Engineering Data

7. Design of Experiments

   • Experimental Design Principles for Engineering Applications

   • Randomization, Blocking, and Replication

   • Analysis of Variance (ANOVA) in Civil and Environmental Engineering

Part III: Applications to Civil and Environmental Engineering

8. Reliability and Risk Analysis in Civil Engineering

   • Reliability of Structural Systems and Components

   • System Reliability and Failure Probability

   • Risk Assessment and Management in Engineering Design

9. Stochastic Processes in Engineering

   • Introduction to Stochastic Processes and Their Applications

   • Poisson Processes, Markov Chains, and Queuing Theory

   • Applications in Traffic Flow, Water Distribution Systems, and Environmental Processes

10. Hydrologic and Environmental Systems

    • Probabilistic Models in Hydrology: Rainfall, Streamflow, and Flooding

    • Uncertainty in Environmental Modeling: Pollutant Transport and Air Quality

    • Environmental Risk Assessment and Climate Change Modeling

Part IV: Advanced Topics in Probability and Engineering Applications

11. Extreme Value Theory in Engineering

    • Applications to Extreme Events: Floods, Earthquakes, and Windstorms

    • Probability Distributions for Extreme Events

    • Risk of Rare Events in Civil and Environmental Systems

12. Monte Carlo Simulation

    • Basics of Monte Carlo Methods

    • Application of Monte Carlo Simulation in Engineering Design and Analysis

    • Risk and Uncertainty Quantification Using Monte Carlo Techniques

13. Bayesian Methods in Engineering

    • Introduction to Bayesian Statistics

    • Bayesian Inference for Reliability and Risk Analysis

    • Application of Bayesian Methods in Environmental and Civil Engineering

Part V: Case Studies and Practical Applications

14. Case Studies in Structural Engineering

    • Reliability Analysis of Bridges, Buildings, and Other Structures

    • Risk Management in Structural Design

    • Lessons Learned from Historical Failures

15. Case Studies in Environmental Engineering

    • Probabilistic Modeling of Water Quality and Environmental Impact

    • Risk Assessment in Wastewater Treatment and Pollution Control

    • Climate Risk and Adaptation Strategies for Civil Engineering Projects

Conclusion

• Summary of Key Concepts in Probability and Engineering Applications

• The Future of Probability Theory in Civil and Environmental Engineering

• Final Thoughts on Integrating Probability into Engineering Decision-Making

Appendices

• Appendix A: Table of Common Probability Distributions

• Appendix B: Mathematical Review: Integration, Differentiation, and Linear Algebra

• Appendix C: Engineering Applications and Software Tools for Probability Analysis

• Index

 

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Alfredo Ang,Wilson Tang,Probability Concepts,Environmental Engineering