Improper Riemann Integrals
| Author | : | |
| Rating | : | 4.66 (730 Votes) |
| Asin | : | 1466588071 |
| Format Type | : | paperback |
| Number of Pages | : | 689 Pages |
| Publish Date | : | 2014-04-15 |
| Language | : | English |
DESCRIPTION:
The book gives students the prerequisites and tools to understand the convergence, principal value, and evaluation of the improper/generalized Riemann integral. The book uses powerful tools of real and complex analysis not only to compute the examples and solve the problems but also to justify that the computation methods are legitimate. Improper Riemann Integrals is the first book to collect classical and modern material on the subject for undergraduate students. Enriched with many examples, applications, and problems, this book helps students acquire a deeper understanding of the subject, preparing them for further study. The book contains the necessary background, theorems, and tools, along with two lists of the most important integrals and sums computed in the text. Numerous examples at various levels of difficulty illustrate the concepts and theorems. It also illustrates applications to science and engineering problems. It shows how to solve the integrals without exclusively relying on tables and computer packages.
"An Excellent Book On a Specialized Topic" according to Ronald J Ezuck. An improper integral is a Riemann integral that has an unbounded integrand (the function being integrated) or one or more of the boundaries are unbounded. This book explores the various techniques that are available to solve these integrals.There aren't that many books that are centered on improper integrals. Most books that discuss them consider them . Great book This is the best book in the subject. There are plenty of good examples for each respective application along with the related theory and proofs, most of which are from complex analysis.. Ryan Ferkinhoff said A Fantastic Book. This book is brilliantly written and includes many applications and examples of the material that are relevant in the sciences, mathematics, and engineering. Prof. Roussos' work (proofs, applications, theory) throughout the text is cleanly written, straight forward, and understandable for any level reader. This book is certainly one of its kind and dis
… I can recommend this book, which shows to students, among other things, the power of ‘elementary techniques.’"Mathematical Reviews, January 2015"By collecting a lot of important improper integrals and sums used in various domains, and presenting their calculation in an accessible but rigorous way, the book will be of great use to students in mathematics and related areas and for applied scientists (statisticians, engineers, physicists) as well."Studia Universitatis Babe-Bolyai Mathematica, 59, 2014. Moreover, the author does his best to make the book as accessible as possible. "When one wants to calculate an improper Riemann integr