Principles Of Applied Mathematics: Transformation And Approximation

This book is written for beginning graduate students in applied mathematics, science, and engineering, and is appropriate as a one-year course in applied mathematical techniques (although I have never been able to cover all of this material in one year). We assume that the students have studied at an introductory undergraduate level material on linear algebra, ordinary and partial differential equations, and complex variables. The emphasis of the book is a working, systematic understanding of classical techniques in a modern context. Along the way, students are exposed to models from a variety of disciplines. It is hoped that this course will prepare students for further study of modern techniques and in-depth modeling in their own specific discipline.

James P. Keener is a professor of mathematics at the University of Utah. He received his Ph.D. from the California Institute of Technology in applied mathematics in 1972. In addition to teaching and research in applied mathematics, Professor Keener served as editor in chief of the SIAM Journal on Applied Mathematics and continues to serve as editor of several leading research journals. He is the recipient of numerous research grants. His research interests are in mathematical biology with an emphasis on physiology. His most recent book, co-authored with James Sheyd, is Mathematical Physiology.