Charles H. C. Little,Kee L. Teo,Bruce van Brunt
An Introduction to Infinite Products
An Introduction to Infinite Products
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The book provides a detailed treatment of infinite products,with a focus on theoretical results and applications,aimed at students familiar with real analysis and complex analysis. It serves as a reference for advanced undergraduates and beginning graduate students,and can also be used as a basis for a special-topics class. The exercises offer opportunities for testing understanding.
Format: Paperback / softback
Length: 251 pages
Publication date: 11 January 2022
Publisher: Springer Nature Switzerland AG
Here is the rephrased text:
This text presents a comprehensive exploration of the fundamental results and diverse applications pertaining to infinite products. Its intended audience consists of students who possess a solid foundation in the principles of real analysis of a single variable and have completed a first course in complex analysis, encompassing the calculus of residues. The primary objective of this book is to offer a concise yet informative introduction to infinite products, serving as a catalyst for both current and future studies. While it does not encompass an exhaustive compilation of results, the reader will acquire a profound understanding of infinite products within the context of advanced academic pursuits. Moreover, the captivating beauty of mathematics will undoubtedly inspire and motivate the reader. This book serves as a valuable resource for students pursuing mathematics, physics, and engineering at the senior undergraduate or early graduate level, who seek to expand their knowledge in the realm of infinite products. It is also of interest to instructors who teach courses that involve infinite products, as well as mathematicians who wish to delve deeper into this subject.
One could envision designing a specialized course centered around this book for undergraduates. The inclusion of exercises provides an excellent platform for the reader to assess their comprehension of each section.
Weight: 420g
Dimension: 235 x 157 x 21 (mm)
ISBN-13: 9783030906450
Edition number: 1st ed. 2022
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