Algebra: A Computational Introduction by John Scherk
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About this book :-
This textbook is a bridge between theory and practice for abstract algebra. It is designed especially for those in engineering, computer science, physical sciences, industry, and finance, it weaves Mathematica directly into its lessons.
Along with a unique approach and presentation, the book demonstrates how software can be used as a problem-solving tool for algebra. A variety of factors set this text apart. It is clear exposition, with each chapter building upon the previous ones, provides greater clarity for the reader. So you learn not just the theory of congruences, groups, rings, and Galois theory, but also how to compute with them. It start with permutation and linear groups, moving to more abstract group theory, then on to polynomial rings and field extensions.
The book includes many computations, both as examples and as exercises. All of this works to better prepare readers for understanding the more abstract concepts. By carefully integrating the use of Mathematica throughout the book in examples and exercises, The author helps readers develop a deeper understanding and appreciation of the material. The numerous exercises and examples along with downloads available from the Internet help establish a valuable working knowledge of Mathematica and provide a good reference for complex problems encountered in the field.
Book Detail :-
This book has following details information.
Title:
Algebra: A Computational Introduction by John Scherk by NA
Publisher:
Chapman and Hall
Series:
freeCompBooks
Year:
2000
Pages:
419
Type:
PDF
Language:
English
ISBN-10 #:
1584880643
ISBN-13 #:
9781584880646
Country:
Pakistan
License:
CC BY-NC-SA 2.5 CA
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Part-I Introduction to Groups
1. Congruences
2. Permutations
3. Permutation Groups
4. Linear Groups
5. Groups
6. Subgroups
7. Symmetry Groups
8. Group Actions
9. Counting Formulas
10. Cosets
11. Sylow Subgroups
12. Simple Groups
13. Abelian Groups
Part-II Solving Equations
14. Polynomial Rings
15. Symmetric Polynomials
16. Roots of Equations
17. Galois Groups
18. Quartics
19. The General Equation of the nth Degree
20. Solution by Radicals
21. Ruler-and-Compass Constructions
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