Exercises in Applied Mathematics

Daniel Alpay was born in Paris (France) and has a double formation of electrical engineer (Telecom Paris) and theoretical mathematics (Weizmann Institute, Rehovot, Israel). His research interests are in hypercomplex analysis, operator theory, stochastic processes (in particular in the setting of infinite dimensional analysis) and mathematical physics. He wrote a number of research books and more than 300 papers. Building on his research, he wrote two exercises books on complex analysis. He was a chaired professor at Ben-Gurion University (Beer-Sheva, Israel) and is now Professor at Chapman University (Orange, California), where he holds the Foster G. and Mary McGaw Professorship in Mathematical Sciences.

Prologue.- Part I: Algebra.- Linear Algebra.- Positive Matrices.- Algebra and Error Correcting Codes.- Part II: Analysis.- Complements in Real and Complex Analysis.- Complements in Functional Analysis.- Part III: Probability and Applications.- Probability Theory.- Entropy: Discrete Case.- Thermodynamics.