Computer Algebra in Scientific Computing by Andreas Weber
Book Contents :-
1. Computer Algebra in Scientific Computing by Mohammadali Asadi, Alexander Brandt, Robert H. C. Moir and Marc Moreno
2. Maza Algorithms and Data Structures for Sparse Polynomial Arithmetic by Xiaojie Dou and Jin-San Cheng
3. A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems by Mario Albert and Werner M. Seiler
4. Resolving Decompositions for Polynomial Modules by ValeryAntonov, Wilker Fernandes,Valery G. Romanovski and NatalieL.Shcheglova
5. First Integrals of the May–Leonard Asymmetric System by Erhan Guler ¨ and Omer
6. Dini-Type Helicoidal Hypersurfaces with Timelike Axis in Minkowski 4-Space E41 by Erhan G ¨uler, Omer Ki¸si and Christos Konaxis
7. Implicit Equations of the Henneberg-Type Minimal Surface in the Four-Dimensional Euclidean Space by Farnoosh Hajati, Ali Iranmanesh and Abolfazl Tehranian
8. A Characterization of Projective Special Unitary Group PSU(3,3) and Projective Special Linear Group PSL(3,3) by Maurice R. Kibler
9. Quantum Information: A Brief Overview and Some Mathematical Aspects
About this book :-
"Computer Algebra in Scientific Computing" is a research-focused work exploring how "symbolic computation" enhances modern scientific problem solving. Edited by Andreas Weber, the book gathers advanced studies on algorithms and algebraic methods that complement numerical computing. It explains how computer algebra helps in parametric analysis, polynomial systems, and exact mathematical modeling.
The text emphasizes the role of "computer algebra" in solving scientific problems where exact symbolic expressions provide better insight than purely numerical approaches. Topics include efficient polynomial arithmetic, symbolic manipulation, and methods for analyzing mathematical models across different parameters. These ideas are valuable in fields such as computational mathematics and engineering research.
Overall, the book serves as a resource for researchers and graduate students interested in bridging algebra and scientific computing. By combining theory with algorithmic techniques, it demonstrates how symbolic methods improve computational efficiency and accuracy in complex scientific applications.
Book Detail :-
Title:
Computer Algebra in Scientific Computing by Andreas Weber
Publisher:
MDPI
Year:
2019
Pages:
160
Type:
PDF
Language:
English
ISBN-10 #:
3039217305
ISBN-13 #:
978-3039217304
License:
CC BY-NC-ND
Amazon:
Amazon
About Author :-
The author
Andreas Günter Weber
(1964–2020) was a German mathematician, computer scientist and professor at the University of Bonn. He was renowned for bridging symbolic and numerical methods within scientific computing. He is a researcher in "computer algebra" and "scientific computing", focusing on symbolic methods that improve computational problem solving. His work bridges mathematics and computer science, exploring how algebraic algorithms enhance scientific analysis and automation. He has contributed to academic advancements in "symbolic computation" and algorithmic techniques used in engineering and data science. He authored Computer Algebra in Scientific Computing, a detailed study of algebraic approaches in computation. The book explains how "mathematical modeling", "algorithm design", and symbolic techniques support modern scientific research.
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