Mathematical Foundations for Design: Civil Engineering Systems (Dover Civil and Mechanical Engineering)

Book Details

• Publisher: Dover

• Author: Robert L.

• Language: English

• Edition: Dover Edition

• ISBN: 9780486495866

• Pages: 592

• Cover: Paperback

• Release Date: 05-01-2005

• Format: Import

• Part Number: Illustrations

• Dimensions: 8.3 x 5.4 x 1.2 inches

About The Book
Mathematical Techniques in Operations Research and Systems Engineering by Robert L. is a comprehensive textbook that focuses on applying mathematical techniques to solve real-world problems in civil engineering and related fields. This Dover Edition, released in 2005, provides in-depth coverage of optimization methods, probability theory, and problem-solving techniques crucial for designing and operating civil engineering systems.

The book is structured as follows:

• Introduction to Methodology: The first chapter sets the stage for understanding the problem-solving methods used throughout the text.

• Optimization and Design: Chapters 2 through 6 cover various optimization techniques:

  • Linear Optimization (Chapters 2-4): Fundamental methods for solving optimization problems with linear constraints.

  • Nonlinear Optimization (Chapter 5): Techniques for handling optimization problems involving nonlinear relationships.

  • Dynamic Programming (Chapter 6): Solutions to multistage decision problems in systems engineering.

• Sequencing, Scheduling, and Routing: Chapter 7 addresses optimization in managing processes and resources in systems.

• Applied Probability: Chapters 8 through 12 delve into probability theory and its applications:

  • Basic Probability (Chapters 8-9): Foundations of probability theory, essential for modeling uncertainty.

  • Random Models and Reliability (Chapter 11): Application of probability to queuing systems and reliability analysis in civil engineering systems.

  • Operational Techniques for Complex Models (Chapter 12): Advanced methods for solving more complicated probabilistic models.

Additionally, the book includes five appendices with helpful resources such as economic and probability tables, curve fitting techniques, and mathematical tools like induction and difference equations.

This textbook is ideal for undergraduate and graduate courses in civil engineering, systems engineering, and applied probability. It also serves as an excellent reference for professionals working in design optimization, probabilistic engineering analysis, and systems engineering. The problem-solving examples, many drawn from real-world research, make it a practical guide to applying mathematical methods in diverse engineering contexts such as transportation, water resources, structural design, and construction management.