Improper Riemann Integrals

Ioannis Roussos

$389

Hardback

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English

CRC Press Inc
16 December 2013

Real analysis, real variables; Differential calculus & equations

Improper Riemann Integrals is the first book to collect classical and modern material on the subject for undergraduate students. The book gives students the prerequisites and tools to understand the convergence, principal value, and evaluation of the improper/generalized Riemann integral. It also illustrates applications to science and engineering problems.

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. 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.

Enriched with many examples, applications, and problems, this book helps students acquire a deeper understanding of the subject, preparing them for further study. It shows how to solve the integrals without exclusively relying on tables and computer packages.

By: Ioannis Roussos
Imprint: CRC Press Inc
Country of Publication: United States
Dimensions: Height: 229mm, Width: 152mm, Spine: 38mm
Weight: 1.056kg
ISBN: 9781466588073
ISBN 10: 1466588071
Pages: 690
Publication Date: 16 December 2013
Audience: College/higher education , General/trade , Primary , ELT Advanced
Replaced By: 9781032557984
Format: Hardback
Publisher's Status: Active

Ioannis Roussos

Reviews for Improper Riemann Integrals

When one wants to calculate an improper Riemann integral one is facing various pitfalls. This is why an enormous amount of examples, exercises, and problems is la raison d'etre of this book, which is devoted to the calculation of improper Riemann integrals. Moreover, the author does his best to make the book as accessible as possible. ... 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 Babes-Bolyai Mathematica, 59, 2014