Introduction to Tsallis Entropy Theory in Water Engineering

Vijay P. Singh is a distinguished professor in the Department of Biological and Agricultural Engineering as well as the Zachry Department of Civil Engineering at Texas A&M University. He received his B.S., M.S., Ph.D., and D.Sc. degrees in engineering. He specializes in surface-water hydrology, groundwater hydrology, hydraulics, irrigation engineering, environmental quality, and water resources. Dr. Singh has published more than 24 textbooks. He is a registered professional engineer, a registered professional hydrologist, and an honorary diplomat in water resources engineering of the American Academy of Water Resources Engineers.

• PRELIMINARIES. Introduction to Tsallis Entropy Theory. Probability Distributions. HYDRAULIC ENGINEERING. One-Dimensional Velocity Distributions. Two-Dimensional Velocity Distributions. Suspended Sediment Concentration. Suspended Sediment Discharge. Sediment Concentration in Debris Flow. Stage-Discharge Relation. HYDROLOGY. Precipitation Variability. Infiltration. Movement of Soil Moisture. Flow Duration Curve. WATER RESOURCES ENGINEERING. Eco-Index. Redundancy Measures for Water Distribution Networks.

"… a comprehensive introduction to hydrologic processes from the entropy perspective."—Professor Upmanu Lall, Columbia University, New York, USA"Dr. Singh does an excellent job of combining the Tsallis entropy theory with water engineering for water flow and transport of sediment in hydraulics. I greatly admire the approach—the details and the rigor presented in this book. I would definitely have this on my bookshelf."—Professor Venkat Lakshmi, University of South Carolina, Columbia, USA"The book is organized well. … The topics covered are relevant, and more importantly, come with examples. … The main strength of the book is the compilation of Tsallis entropy applications in water resources engineering by one of the foremost researchers in the world on this topic. The style and presentation is within the reach of most graduate students, and should appeal to academics and practitioners."—Professor Rao S. Govindaraju, Purdue University, Lafayette, Indiana, USA"… Dr. Singh’s book provides an easy-to-digest summary of the fundamentals of using entropy concepts. He illustrates the methods using a broad array of detailed applications. … a primary resource for anyone interested in learning and applying entropy concepts."—Professor Richard H. McCuen, University of Maryland, College Park, USA"… a game changer for research and practice in water resources engineering. … The author has explicitly demonstrated the unifying nature of Tsallis entropy theory in developing solutions to water resources problems. This book will hail a new era for solving problems based [on] Tsallis entropy theory in water resources engineering."—Professor Umed Panu, Lakehead University, Ontario, Canada