This book serves as a one-semester introductory course in number theory. Throughout the book, Tattersall adopts a historical perspective and gives emphasis to some of the subject's applied aspects, highlighting the field of cryptography.

Author: James J. Tattersall

Publisher: Cambridge University Press

ISBN: 0521585031

Category: Mathematics

Page: 407

View: 248

This book serves as a one-semester introductory course in number theory. Throughout the book, Tattersall adopts a historical perspective and gives emphasis to some of the subject's applied aspects, highlighting the field of cryptography. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises has been included. The reader should have "pencil in hand" and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

Determine the next three numbers and the general pattern in the sequence 4 , 6 , 9 , 10 , 14 , 15 , 21 , 22 , 25 , 26 , 33 , 34 , 35 , 38 , ... 7. Find the greatest common divisor and least common multiple of m and n if ( a ) m = 540 ...

Author: James J. Tattersall

Publisher: Cambridge University Press

ISBN: 0521585317

Category: Mathematics

Page: 407

View: 336

This book serves as a one-semester introductory course in number theory. Throughout the book, Tattersall adopts a historical perspective and gives emphasis to some of the subject's applied aspects, highlighting the field of cryptography. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises has been included. The reader should have "pencil in hand" and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

Oystein Ore , Invitation to Number Theory , 2nd edn ( revised and updated by John J. Watkins and Robin Wilson ) , Mathematical Association of America , 2017 . James J. Tattersall , Elementary Number Theory in Nine Chapters , 2nd edn ...

Author: Robin Wilson

Publisher: Oxford University Press, USA

ISBN: 9780198798095

Category: Mathematics

Page: 176

View: 479

Number theory is the branch of mathematics primarily concerned with the counting numbers, especially primes. It dates back to the ancient Greeks, but today it has great practical importance in cryptography, from credit card security to national defence. This book introduces the main areas of number theory, and some of its most interesting problems.

References We have presented you with an invitation to study number theory. If you are interested and wish to accept it you ... J. J. Tattersall, Elementary Number Theory in Nine Chapters, 2nd edition, Cambridge University Press, 2005.

Author: Oystein Ore

Publisher: American Mathematical Soc.

ISBN: 9780883856536

Category: Number theory

Page: 134

View: 360

Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.

[ 169 ] James J. Tattersall , Elementary Number Theory in Nine Chapters , Cambridge University Press , 1999 . [ 170 ] V. A. Taškinov , Regular subgraphs of regular graphs , Soviet Math . Dokl . 26 , 37-38 ( 1982 ) .

Tattersall, J.J., Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999. Taylor, P.J., Tournament of Towns 1980–1984, Australian Mathematics Trust, 1993. Taylor, P.J., Tournament of Towns 1984–1989, ...

Author: Titu Andreescu

Publisher: Springer Science & Business Media

ISBN: 9780817646455

Category: Mathematics

Page: 384

View: 790

This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.

Math. Horizons 5–31 (2005) 394. Tate, J.: The higher dimensional cohomology groups of class field theory. Ann. Math. 56, 294–297 (1952) 395. Tattersall, J.J.: Elementary Number Theory in Nine Chapters. Cambridge University Press ...

Author: Michal Křížek

Publisher: Springer Nature

ISBN: 9783030838997

Category: Mathematics

Page: 337

View: 835

This book provides an overview of many interesting properties of natural numbers, demonstrating their applications in areas such as cryptography, geometry, astronomy, mechanics, computer science, and recreational mathematics. In particular, it presents the main ideas of error-detecting and error-correcting codes, digital signatures, hashing functions, generators of pseudorandom numbers, and the RSA method based on large prime numbers. A diverse array of topics is covered, from the properties and applications of prime numbers, some surprising connections between number theory and graph theory, pseudoprimes, Fibonacci and Lucas numbers, and the construction of Magic and Latin squares, to the mathematics behind Prague’s astronomical clock. Introducing a general mathematical audience to some of the basic ideas and algebraic methods connected with various types of natural numbers, the book will provide invaluable reading for amateurs and professionals alike.

Niven, I., Zuckerman, H.S., Montgomery, H.L., An Introduction to the Theory of Numbers, Fifth Edition, John Wiley & Sons, Inc., New York, ... Tattersall, J.J., Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999.

Author: Titu Andreescu

Publisher: Springer Science & Business Media

ISBN: 9780817645618

Category: Mathematics

Page: 204

View: 394

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

M. T. Rassias, Problem-Solving and Selected Topics in Number Theory, Springer, New York, 2011. ... J. J. Tattersall, Elementary Number Theory in Nine Chapters, 2nd ed., Cambridge University Press, Cambridge, 2005.

Author: Andrey O. Matveev

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 9783110546651

Category: Mathematics

Page: 182

View: 856

As a first comprehensive overview on Farey sequences and subsequences, this monograph is intended as a reference for anyone looking for specific material or formulas related to the subject. Duality of subsequences and maps between them are discussed and explicit proofs are shown in detail. From the Content Basic structural and enumerative properties of Farey sequences, Collective decision making, Committee methods in pattern recognition, Farey duality, Farey sequence, Fundamental Farey subsequences, Monotone bijections between Farey subsequences

Elementary Number Theory, Fourth Edition. McGraw-Hill, New York, 1998. ... Primes and Programming: An Introduction to Number Theory with Computing. Cambridge University Press, Cambridge, ... Elementary Number Theory in Nine Chapters.

Author: Sabin Tabirca

Publisher: Infinite Study

ISBN:

Category:

Page: 418

View: 840

A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.