Improper Riemann Integrals

The scope of this book is the improper or generalized Riemann integral and infinite sum (series). The reader will study its convergence, principal value, evaluation and application to science and engineering.

Autorentext

Professor Ioannis Markos Roussos was born on November 5, 1954, at the village Katapola of the island of Amorgos, Greece. After primary and secondary education, he studied mathematics at the National and Kapodistrian University of Athens and received his BSc Degree (19721977). Then, he studied graduate mathematics and computer sciences at the University of Minnesota and received his Masters and PhD degrees (19771986). His specialization in mathematics was in Differential Geometry and Analysis. He has taught mathematics at the University of Minnesota (19771987), University of South Alabama (19871990) and Hamline University (19902022). Besides this book, he has published 17 research papers, ten expository papers and the book Basic Lessons on Isometries, Similarities and Inversions in the Euclidean Plane. He has participated in meetings and has refereed papers and promotions of other professors. Other interests are classical music, history, international relations and travelling.

Inhalt

1. Improper Riemann Integrals, Definitions, Criteria. 2. Calculus Techniques. 3. Real Analysis Techniques. 4. Laplace Transform.