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Complexity And Cryptography: Introduction, An
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9780521617710
Description:
Cryptography plays a crucial role in many aspects of today's world, from internet banking and ecommerce to email and web-based business processes. Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal s...
Cryptography plays a crucial role in many aspects of today's world, from internet banking and ecommerce to email and web-based business processes. Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal s...
Description:
Cryptography plays a crucial role in many aspects of today's world, from internet banking and ecommerce to email and web-based business processes. Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal style with rigorous proofs of the key results to give an accessible introduction. It comes with plenty of examples and exercises (many with hints and solutions), and is based on a highly successful course developed and taught over many years to undergraduate and graduate students in mathematics and computer science.
Review:
'This book is provided with plenty of exercises and is excellent for an undergraduate course in Cryptography.' Zentralblatt MATH 'Cryptography plays a crucial role in many aspects of today's world ... Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal style with rigourous proofs of the key results to give an accessible introduction.' L'enseignement mathematique 'This is a nice introductory textbook that covers the most important areas of cryptography in an easily accessible manner, provides numerous examples and easy exercises, and I really enjoyed reading it.' ACM SIGACT News 'The book is beautifully structured and elegantly written in a compact yet accessible style. It is based on a course taught by the authors and has numerous problems, many provided with hints and or solutions. For these reasons, it is ideally suited for an advanced undergraduate or post graduate course.' Times Higher Education Supplement
Table of Contents:
1. Basics of cryptography; 2. Complexity theory; 3. Non-deterministic computation; 4. Probabilistic computation; 5. Symmetric cryptosystems; 6. One-way functions; 7. Public key cryptography; 8. Digital signatures; 9. Key establishment protocols; 10. Secure encryption; 11. Identification schemes; Appendix 1; Appendix 2; Appendix 3; Appendix 4; Appendix 5; Appendix 6; Bibliography; Index.
Author Biography:
John Talbot is a Lecturer in Mathematics at University College London. Dominic Welsh is a Professor of Mathematics at the Mathematics Institute, University of Oxford.
Cryptography plays a crucial role in many aspects of today's world, from internet banking and ecommerce to email and web-based business processes. Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal style with rigorous proofs of the key results to give an accessible introduction. It comes with plenty of examples and exercises (many with hints and solutions), and is based on a highly successful course developed and taught over many years to undergraduate and graduate students in mathematics and computer science.
Review:
'This book is provided with plenty of exercises and is excellent for an undergraduate course in Cryptography.' Zentralblatt MATH 'Cryptography plays a crucial role in many aspects of today's world ... Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal style with rigourous proofs of the key results to give an accessible introduction.' L'enseignement mathematique 'This is a nice introductory textbook that covers the most important areas of cryptography in an easily accessible manner, provides numerous examples and easy exercises, and I really enjoyed reading it.' ACM SIGACT News 'The book is beautifully structured and elegantly written in a compact yet accessible style. It is based on a course taught by the authors and has numerous problems, many provided with hints and or solutions. For these reasons, it is ideally suited for an advanced undergraduate or post graduate course.' Times Higher Education Supplement
Table of Contents:
1. Basics of cryptography; 2. Complexity theory; 3. Non-deterministic computation; 4. Probabilistic computation; 5. Symmetric cryptosystems; 6. One-way functions; 7. Public key cryptography; 8. Digital signatures; 9. Key establishment protocols; 10. Secure encryption; 11. Identification schemes; Appendix 1; Appendix 2; Appendix 3; Appendix 4; Appendix 5; Appendix 6; Bibliography; Index.
Author Biography:
John Talbot is a Lecturer in Mathematics at University College London. Dominic Welsh is a Professor of Mathematics at the Mathematics Institute, University of Oxford.