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Reading list
We've selected ten books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Euclid's Algorithm.
This comprehensive work by a team of renowned mathematicians discusses the history and applications of Euclid's algorithm in various branches of mathematics, including number theory, algebra, and computer science.
This textbook provides a detailed treatment of Euclid's algorithm as part of its coverage of number theory, with an emphasis on understanding the underlying mathematical concepts.
This advanced textbook explores the many uses of Euclid's algorithm in a variety of mathematical areas, including continued fractions, cryptography, and Diophantine approximation.
This classic work on algebraic number theory includes a chapter devoted to Euclid's algorithm, discussing its use in understanding the structure of number fields.
This textbook provides a computational approach to number theory and includes a section covering Euclid's algorithm. It emphasizes the use of concrete examples and exercises to illustrate the concepts.
Covers the mathematical foundations of cryptography and includes a section on Euclid's algorithm. It focuses on the practical applications of the algorithm in cryptographic protocols.
Provides an in-depth coverage of algorithmic number theory, with a chapter on Euclid's algorithm. It discusses the complexity of the algorithm and its applications to problems in cryptography, coding theory, and computational geometry.
This short monograph by the renowned geometer H.S.M. Coxeter explores the geometrical interpretations of Euclid's algorithm and its connection to other areas of mathematics.
Gives a detailed exposition of Euclid's algorithm and its applications to number theory. It is aimed at graduate students and researchers in number theory.
Provides a step-by-step explanation of Euclid's algorithm in a clear and accessible manner. It is suitable for students and general readers with little mathematical background.
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