Improper Riemann Integrals

1. Auflage 2013
ISBN: 978-1-4665-8807-3
Verlag: Taylor & Francis

Buch, Englisch, 690 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 1043 g

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.

Zielgruppe

Researchers and students in mathematics, statistics, physics, and engineering.

Autoren/Hrsg.

Roussos, Ioannis

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Improper Riemann Integrals. Real Analysis Techniques. Complex Analysis Techniques. List of Non-Elementary Integrals and Sums in Text. Bibliography. Index.

Über Autor(innen)

Ioannis Roussos