Series in Computational Methods – Volume 2: Calculus: Formulations and Solutions with Python
Author: G R Liu (Author)
Publisher finelybook 出版社: World Scientific Publishing
Publication Date 出版日期: 2025-06-29
Language 语言: English
Print Length 页数: 392 pages
ISBN-10: 9819801001
ISBN-13: 9789819801008
Book Description
This comprehensive volume explores differentiation and integration, detailing their theories, concepts, and formulations. The book introduces various techniques for computing these mathematical elements for different types of functions and presents their applications. Python code is extensively used throughout the book, allowing readers to practice and interact with the concepts in real-time. This hands-on approach helps in comprehending the theory, techniques, and results of computational operations in differentiation and integration. Real-world engineering problems are connected to the theoretical discussions through numerous examples. Written in Jupyter notebook format, the useful reference text offers a unified environment for theory description, code execution, and real-time interaction, making it ideal for reading, practicing, and further exploration.
About the Author
Gui-Rong Liu received his PhD from Tohoku University, Japan, in 1991. He was a Postdoctoral Fellow at Northwestern University, USA, from 1991–1993. He was a Professor at the National University of Singapore until 2010. He is currently a Professor at the Department of Aerospace Engineering and Engineering Mechanics, University of Cincinnati, USA. He was the Founder of the Association for Computational Mechanics (Singapore) (SACM) and served as the President of SACM until 2010. He served as the President of the Asia-Pacific Association for Computational Mechanics (APACM) (2010–2013) and an Executive Council Member of the International Association for Computational Mechanics (IACM) (2005–2010; 2020–2026). He authored a large number of journal papers and books including two bestsellers: Mesh Free Method: Moving Beyond the Finite Element Method and Smoothed Particle Hydrodynamics: A Meshfree Particle Methods. He is the Editor-in-Chief of the International Journal of Computational Methods and served as an Associate Editor for IPSE and MANO. He is the recipient of numerous awards, including the Singapore Defence Technology Prize, NUS Outstanding University Researcher Award, NUS Best Teacher Award, APACM Computational Mechanics Award, JSME Computational Mechanics Award, ASME Ted Belytschko Applied Mechanics Award, Zienkiewicz Medal from APACM, the AJCM Computational Mechanics Award, and the Humboldt Research Award. SACM Medal from the Association of Computational Mechanics (Singapore). He has been listed as one among the world’s top 1% most influential scientists (Highly Cited Researchers) by Thomson Reuters for a number of years.