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Improper Riemann integrals

By: Roussos, Ioannis MMaterial type: TextTextPublication details: Boca Raton : CRC Press, 2014. Description: xiv, 675 pages : 36 B/W IllustrationsISBN: 9781032032054Subject(s): Riemann integral | Mathematical analysis | Analysis -- MathematicsDDC classification: 517.518.12 Online resources: Table of content | Reviews Summary: 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.
List(s) this item appears in: Mathematics
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Item type Current library Call number Status Date due Barcode
Book Book NISER LIBRARY
517.518.12 ROU-I (Browse shelf(Opens below)) Checked out to Aayush Barik (2411106) 19/05/2025 25888

Includes bibliographical references and index.

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.

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