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Algebra for Applications

By Arkadii Slinko

Product Image: Algebra for Applications

Algebra for Applications

By Arkadii Slinko

0 - Default Title
Description
This textbook provides mathematical tools and applies them to study key aspects of data transmission such as encryption and compression. Modern societies are awash with data that needs to be manipulated in many ways: encrypted, compressed, shared between users in a prescribed manner, protected from unauthorized access, and transmitted over unreliable channels. All of these operations are based on algebra and number theory. This textbook covers background topics in arithmetic, polynomials, groups, fields, and elliptic curves required for real-life applications like cryptography, secret sharing, error-correcting, fingerprinting, and compression of information.
The book illustrates the work of these applications using the free GAP computational package. It uses this package to help readers understand computationally hard problems and provide insights into protecting data integrity. This textbook covers a wide range of applications including recent developments, primarily intended for use as a textbook, with numerous worked examples and solved exercises suitable for self-study.
This edition has been thoroughly revised with new topics and exercises, introducing hash functions for properly describing digital signatures, blockchains, and digital currencies in the latest version.
Product details
Binding:
Paperback
Edition:
3
Number of Pages:
416
Release Date:
2025-05-21
Publication Date:
2025-05-21
Publisher:
Springer
Languages:
Original: English
ISBN10:
3031826256
ISBN13:
9783031826252
GPSR Manufacturer Reference:
[email protected]
Weight:
628 g
Height:
155 cm
Width:
235 cm
Thickness:
23 cm
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