The Lambert W Function: Its Generalizations and Applications

This book is the first English language book dedicated to the Lambert W function, its generalizations, and applications. It aims to promote future research on the topic and provides all the information needed to find results. The Lambert W function is a multi-valued inverse function with applications in various fields, including physics, biology, game theory, and more. The book covers a full treatise of the W function, generalizations, and applications, and is written to be accessible to students with basic knowledge on calculus and complex numbers. It also includes Mathematica codes and further notes for further studies.

Format: Hardback
Length: 252 pages
Publication date: 01 March 2022
Publisher: Taylor & Francis Ltd

This comprehensive book is a groundbreaking contribution to the field of the Lambert W function, its generalizations, and their diverse applications. With a primary objective of fostering future research on this topic, it provides a wealth of information and essential formulas for those seeking results. The most important concepts and findings are presented in a clear and concise manner, making it an invaluable resource for scholars and researchers alike.

The Lambert W function, a multi-valued inverse function, holds immense importance in various scientific disciplines, including molecular physics, relativity theory, fuel consumption models, plasma physics, epidemiology analysis, bacterial growth models, delay differential equations, fluid mechanics, game theory, statistics, magnetic materials study, and more.

The book is organized into three parts. The first part serves as a comprehensive treatise on the W function, presenting it from a theoretical perspective. The second part explores generalizations of the Lambert W function that arise due to the limitations of the classical W function in specific applications. The third part showcases a wide range of applications across physics, biology, game theory, bacterial cell growth models, and other fields.

In the second part, the authors introduce generalized Lambert functions based on the tools developed in the first part. While familiarity with Newtonian physics is beneficial, the text is written in a manner accessible to individuals with a basic understanding of calculus and complex numbers. Additionally, the book includes the Further Notes sections, which offer interesting research problems and additional information for further studies. Mathematica codes are also provided for further exploration.

The Lambert function, being one of the simplest non-elementary transcendental functions, offers a unique opportunity for students interested in deepening their understanding of real and complex analysis. By studying the Lambert W function, students can gain a fresh perspective on a function that is often considered "almost elementary," providing a valuable stepping stone toward further mathematical explorations.

In conclusion, this book is a must-have for anyone interested in the Lambert W function, its generalizations, and their applications. Its comprehensive coverage, accessible writing style, and valuable additional features make it an invaluable resource for scholars, researchers, and students alike. By promoting future research on this topic
topic, this book contributes significantly to the advancement of knowledge in the field of mathematics and its applications.

Dimension: 234 x 156 (mm)
ISBN-13: 9780367766832