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A Pathway Into Number Theory By R. P. Burn

A Pathway Into Number Theory

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This book consists of a sequence of exercises that will lead readers from simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern secondary school course in mathematics is sufficient background for the whole book, designed to be used as an undergraduate course in number theory.

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A Pathway Into Number Theory Summary


A Pathway Into Number Theory by R. P. Burn

Number theory is concerned with the properties of the natural numbers: 1, 2, 3 ... During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today the results of extensive numerical work are instantly available and the road leading to their discoveries may be traversed with comparative care. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern secondary school course in mathematics is sufficient background for the whole book which is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.

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A Pathway Into Number Theory Reviews


'I'm pleased to report there is a new edition of R. Burn's A Pathway into Number Theory, a book that takes readers quickly and painlessly from simple facts about whole numbers to the wonders of the quadratic forms, Pell's equation and Minkowski's theorem.' Ian Stewart, New Scientist
'... admirably suitable for those meeting number theory for the first time and for unsupported individual study.' Nick Lord, The Mathematical Gazette

Table of Contents


Preface to the second edition; Introduction; 1. The fundamental theorem of arithmetic; 2. Modular addition and Euler's Phi function; 3. Modular multiplication; 4. Quadratic residues; 5. The equation xn+yn=zn, for n=2, 3, 4; 6. Sums of squares; 7. Partitions; 8. Quadratic forms; 9. Geometry of numbers; 10. Continued fractions; 11. Approximation of irrationals by rationals; bibliography; Index.

Additional information

GOR004554446
A Pathway Into Number Theory by R. P. Burn
R. P. Burn
Used - Very Good
Paperback
Cambridge University Press
1996-11-28
280
0521575400
9780521575409
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us.