Algorithmic Algebra by Bhubaneswar Mishra
Book Contents :-
1. Introduction
2. Algebraic Preliminaries
3. Computational Ideal Theory
4. Solving Systems of Polynomial Equations
5. Characteristic Sets
6. An Algebraic Interlude
7. Resultants and Subresultants
8. Real Algebra
A. Matrix Algebra
About this book :-
"Algorithmic Algebra" by Bhubaneswar Mishra is a comprehensive textbook that bridges "algebra", "computer algebra", and "algorithmic methods". It introduces advanced tools like "Gröbner bases", "characteristic sets", and "resultants", showing how algebraic theory is applied in computational contexts. This makes it essential for students and professionals in mathematics, computer science, and engineering.
The book emphasizes "algorithmic approaches" to solving polynomial systems, manipulating ideals, and performing symbolic computation. Mishra combines theoretical foundations with practical examples, making complex algebraic concepts accessible through step-by-step explanations. Exercises and selected solutions enhance understanding and reinforce the application of computational techniques in real-world problems.
Ideal for "graduate students", researchers, and self-learners, the text also explores applications in "robotics", "computational geometry", and automated theorem proving. By integrating "symbolic computation" with algebraic theory, Mishra’s work equips readers with the skills to tackle advanced problems in modern mathematics and computer-aided computation. It is a must-have reference for anyone pursuing a deeper understanding of algebraic algorithms and computational mathematics.
Book Detail :-
Title:
Algorithmic Algebra by Bhubaneswar Mishra
Publisher:
Springer
Year:
1993
Pages:
425
Type:
PDF
Language:
English
ISBN-10 #:
0387940901
ISBN-13 #:
978-0387940908
License:
External Educational Resource
Amazon:
Amazon
About Author :-
The author
Bhubaneswar Mishra
is a renowned "computer scientist" and "mathematician", known for his work in "algorithmic algebra" and "symbolic computation". He is a professor at NYU’s Courant Institute, blending theoretical mathematics with practical computational applications. Mishra has contributed extensively to "computational mathematics", including robotics, bioinformatics, and cybersecurity. His research bridges deep algebraic theories with real-world algorithm design, making him a leading figure in "algorithmic research" and education.
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