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Abstract algebra with applications

By: Terras, Audrey.
Material type: materialTypeLabelBookPublisher: Cambridge Cambridge University Press 2019Description: xix, 310 p. Includes references and index.ISBN: 9781107164079.Subject(s): Algebra - Abstract | Mathematical induction | Algebra applicationsDDC classification: 512.02 Summary: Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof. https://www.cambridge.org/gb/academic/subjects/mathematics/algebra/abstract-algebra-applications?format=HB
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Books Vikram Sarabhai Library
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Slot 1361 (0 Floor, East Wing) Non-fiction 512.02 T3A2 (Browse shelf) Checked out 28/04/2020 200699

Table of Contents

Part I. Groups:
1. Preliminaries
2. Groups: a beginning
3. Groups: there's more
4. Applications and more examples of groups

Part II. Rings:
5. Rings: a beginning
6. Rings: there's more
7. Vector spaces and finite fields
8. Applications of rings

Part III. Solutions to Some Problems:
9. Solution sketches for mostly odd-numbered exercises


Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof.

https://www.cambridge.org/gb/academic/subjects/mathematics/algebra/abstract-algebra-applications?format=HB

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