Extrapolation and Rational Approximation: The Works of the Main Contributors

This book provides an overview of the field of extrapolation and rational approximation, covering methods such as extrapolation, Padé approximation, orthogonal polynomials, continued fractions, and Lanczos-type methods. It also includes personal testimonies from contemporary researchers and biographies of other scholars.

Format: Paperback / softback
Length: 406 pages
Publication date: 02 December 2021
Publisher: Springer Nature Switzerland AG

This comprehensive book delves into the realm of extrapolation and rational approximation, spanning centuries from the past to the present. It serves as an invaluable introduction to various topics such as extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, and Lanczos-type methods. Moreover, it offers in-depth discussions of the intricate connections between these subjects, enriching the reader's understanding.

One of the remarkable aspects of this book is its portrayal of the human dimension within the fields discussed. Personal testimonies from contemporary researchers, accompanied by anecdotes and exclusive recollections of notable figures, bring the historical context to life. These narratives shed light on the origins and evolution of research in this domain, highlighting the contributions of numerous scholars. Additionally, biographies of other influential scholars are included, providing a deeper insight into the rich tapestry of mathematical knowledge.

This book not only offers a historical perspective but also opens the door to new developments in the field. After a mathematical introduction, it provides a detailed description of the mathematical landscape of extrapolation and rational approximation, spanning from the 19th century to the early 20th century. An analysis of the works produced after this period, particularly those of renowned researchers like Richardson, Aitken, Shanks, Wynn, and others, highlights the latest advancements and applications.

In conclusion, this book is a treasure trove of information for anyone interested in the field of extrapolation and rational approximation. It serves as a comprehensive guide, offering insights into historical developments, mathematical techniques, and applications. Through its engaging narrative and rich content, it provides a deeper understanding of these important mathematical concepts and their impact on various scientific and engineering disciplines. Whether you are a student, researcher, or professional, this book is a must-read for anyone seeking to expand their knowledge in this field.

Weight: 630g
Dimension: 157 x 235 x 25 (mm)
ISBN-13: 9783030584207
Edition number: 1st ed. 2020