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Author : Childs
Release : 2006-01-01
Genre :
Kind : eBook
Book Rating : 136/5 ( reviews)
Book Synopsis A Concrete Introduction To Higher Algebra, 2E by : Childs
Download or read book A Concrete Introduction To Higher Algebra, 2E written by Childs. This book was released on 2006-01-01. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lindsay N. Childs
Release : 2008-12-05
Genre : Mathematics
Kind : eBook
Book Rating : 257/5 ( reviews)
Book Synopsis A Concrete Introduction to Higher Algebra by : Lindsay N. Childs
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay N. Childs. This book was released on 2008-12-05. Available in PDF, EPUB and Kindle. Book excerpt: This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. The new examples and theory are built in a well-motivated fashion and made relevant by many applications - to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises are found throughout the book.
Author : Lindsay Childs
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 657/5 ( reviews)
Book Synopsis A Concrete Introduction to Higher Algebra by : Lindsay Childs
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay Childs. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.
Author : Lindsay N. Childs
Release : 2012-12-04
Genre : Mathematics
Kind : eBook
Book Rating : 029/5 ( reviews)
Book Synopsis A Concrete Introduction to Higher Algebra by : Lindsay N. Childs
Download or read book A Concrete Introduction to Higher Algebra written by Lindsay N. Childs. This book was released on 2012-12-04. Available in PDF, EPUB and Kindle. Book excerpt: An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.
Author : Song Y. Yan
Release : 2018-12-04
Genre : Computers
Kind : eBook
Book Rating : 36X/5 ( reviews)
Book Synopsis Cybercryptography: Applicable Cryptography for Cyberspace Security by : Song Y. Yan
Download or read book Cybercryptography: Applicable Cryptography for Cyberspace Security written by Song Y. Yan. This book was released on 2018-12-04. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the basic theory, techniques, and algorithms of modern cryptography that are applicable to network and cyberspace security. It consists of the following nine main chapters: Chapter 1 provides the basic concepts and ideas of cyberspace and cyberspace security, Chapters 2 and 3 provide an introduction to mathematical and computational preliminaries, respectively. Chapters 4 discusses the basic ideas and system of secret-key cryptography, whereas Chapters 5, 6, and 7 discuss the basic ideas and systems of public-key cryptography based on integer factorization, discrete logarithms, and elliptic curves, respectively. Quantum-safe cryptography is presented in Chapter 8 and offensive cryptography, particularly cryptovirology, is covered in Chapter 9. This book can be used as a secondary text for final-year undergraduate students and first-year postgraduate students for courses in Computer, Network, and Cyberspace Security. Researchers and practitioners working in cyberspace security and network security will also find this book useful as a reference.
