Improper Riemann Integrals

Improper Reimann Integrals is a comprehensive guide with examples, applications, and problems, covering a wide range of disciplines.

Format: Hardback
Length: 442 pages
Publication date: 27 September 2023
Publisher: Taylor & Francis Ltd

Improper Reimann Integrals is a captivating topic that holds immense interest not only for mathematicians but also for students in disciplines such as statistics, engineering, and physics. This comprehensive book provides a wealth of examples, applications, and problems, making it an invaluable resource for anyone seeking to delve into the world of improper Reimann integrals. It serves as a definitive reference on the subject, offering a comprehensive exploration of the theory and its practical implications.

The book begins by introducing the concept of improper Reimann integrals and their significance in various fields. It then proceeds to provide a detailed account of the theory, including the definition of the Riemann sum, the fundamental theorem, and the convergence criteria. Throughout the text, numerous examples and applications are presented to illustrate the practical implications of improper Reimann integrals. These examples range from simple mathematical calculations to complex engineering problems and physical phenomena.

One of the key strengths of the book is its comprehensive coverage of various topics related to improper Reimann integrals. It discusses the theory of upper and lower sums, the evaluation of improper integrals, the application of the Riemann-Stieltjes integral, and the study of singularities. The book also includes a detailed discussion of the convergence properties of improper integrals, including the comparison of different methods of integration.

In addition to its theoretical aspects, the book also emphasizes the practical applications of improper Reimann integrals. It discusses the use of improper integrals in fields such as mathematical physics, quantum mechanics, and financial mathematics. The book provides examples of how improper Reimann integrals can be used to solve complex problems and model real-world phenomena.

Furthermore, the book is well-written and accessible to students at all levels. It includes clear explanations, numerous illustrations, and exercises to help students reinforce their understanding of the material. The book also provides a comprehensive bibliography for further reading, allowing students to explore the topic in greater depth.

In conclusion, Improper Reimann Integrals is a must-read for anyone interested in the field of mathematics. It offers a comprehensive and engaging exploration of the theory, applications, and problems of improper Reimann integrals. With its wealth of examples, applications, and problems, this book serves as a definitive reference on the topic, providing students with the knowledge and tools they need to excel in their studies and pursue careers in various disciplines.

Weight: 1010g
Dimension: 229 x 152 (mm)
ISBN-13: 9781032557984
Edition number: 2 ed