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Codes: an Introduction to Information Communication & Cryptography by Norman L. Biggs
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About this book :-
Codes: an Introduction to Information Communication & Cryptography Norman L. Biggs.
This book is an integrated introduction to Coding. By this I mean replacing symbolic information, such as a sequence of bits or a message written in a natural language, by another message using (possibly) different symbols. There are three main reasons for doing this: Economy (data compression), Reliability (correction of errors), and Security (cryptography).
The author has tried to cover each of these three areas in sufficient depth so that the reader can grasp the basic problems and go on to more advanced study. The mathematical theory is introduced in a way that enables the basic problems to be stated carefully, but without unnecessary abstraction. The prerequisites (sets and functions, matrices, finite probability) should be familiar to anyone who has taken a standard course in mathematical methods or discrete mathematics. A course in elementary abstract algebra and/or number theory would be helpful, but the book contains the essential facts, and readers without this background should be able to understand what is going on.
Book Detail :-
Title: Codes: an Introduction to Information Communication & Cryptography
Author(s): Norman L. Biggs
Publisher: Clarendon Press
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About Author :-
The author Norman L. Biggs was a lecturer at University of Southampton, lecturer then reader at Royal Holloway, University of London, and Professor of Mathematics at the London School of Economics. He has been on the editorial board of a number of journals, including the Journal of Algebraic Combinatorics. He has been a member of the Council of the London Mathematical Society.
He has written 12 books and over 100 papers on mathematical topics, many of them in algebraic combinatorics and its applications. He became Emeritus Professor in 2006 and continue to teach History of Mathematics in Finance and Economics for undergraduates. He is also Vice-President of the British Society for the History of Mathematics.
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Book Contents :-
Codes: an Introduction to Information Communication & Cryptography Norman L. Biggs cover the following topics.
1. Coding and its uses
2. Prefix-free codes
3. Economical coding
4. Data compression
5. Noisy channels
6. The problem of reliable communication
7. The noisy coding theorems
8. Linear codes
9. Algebraic coding theory
10. Coding natural languages
11. The development of cryptography
12. Cryptography in theory and practice
13. The RSA cryptosystem
14. Cryptography and calculation
15. Elliptic curve cryptography
Answers to odd-numbered exercises
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