Description 
xiv, 328 pages : illustrations ; 24 cm. 

text txt rdacontent 

unmediated n rdamedia 

volume nc rdacarrier 
Series 
Springer undergraduate mathematics series, 16152085 

Springer undergraduate mathematics series.

Summary 
This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory. This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such reallife applications as cryptography, secret sharing, errorcorrecting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to thirdyear undergraduates, it is selfcontained with numerous worked examples and exercises provided to test understanding. It can additionally be used for selfstudy. 
Contents 
Integers  Cryptology  Groups  Fields  Polynomials  Secret Sharing  ErrorCorrecting Codes  Compression  Appendix A: GAP  Appendix B: Miscellanies  Solutions to Exercises. 
Subject 
Algebra.


Algebra. (OCoLC)fst00804885

ISBN 
9783319219509 (pbk.) 

3319219502 (pbk.) 

9783319219516 (eBook) 
