Mathai A.M., Haubold H.J. Fractional and Multivariable Calculus: Model Building and Optimization Problems

Springer International Publishing AG, 2017. — 243 p. — (Springer Optimization and Its Applications 122) — ISBN: 3319599925.This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. Researchers, advanced undergraduate, and graduate students in mathematics, statistics, physics, engineering, and biological sciences will find this book to be a valuable resource for finding appropriate models to describe real-life situations.Essentials of Fractional Calculus
Multivariable Calculus
Deterministic Models and Optimization
Non-deterministic Models and Optimization
Optimal Regression Designs
Pathway Models