Description
A Guide to Elementary Number Theory is a short exposition of the topics considered in a first course in number theory. It is intended for those who have had some exposure to the material before but have half-forgotten it, and also for those who may have never taken a course in number theory but who want to understand it without having to engage with the more traditional texts which are often extensive, and dense. Number theory has an impressive history, which this guide investigates. Rather than being a textbook with exercises and solutions, this guide is an exploration of this interesting and exciting field. Its important results are all included, usually with accompanying proofs: the Quadratic Reciprocity Theorem is proved as Gauss did it. The material has been chosen to be maximally broad whilst remaining concise and accessible.
An introductory guide to elementary number theory for advanced undergraduates and graduates.
About the Author
Underwood Dudley was born in New York City in 1937. He has bachelor's and master's degrees from the Carnegie Institute of Technology and received the Ph.D. degree (number theory) from the University of Michigan in 1965. He taught at the Ohio State University and at DePauw University, from which he retired in 2004. He is the author of three books on mathematical oddities, The Trisectors, Mathematical Cranks, and Numerology, an elementary number theory text, and is the editor of two collections of mathematical pieces. He has edited the College Mathematics Journal, the Pi Mu Epsilon Journal, and two of the Mathematical Association of America's book series. He has served as the MAA's Polya lecturer and has received its Distinguished Service Award. He is a member of the MAA, the American Mathematical Society, and the Society for Industrial and Applied Mathematics.
Reviews
Anyone who wishes to learn what elementary number theory is about and some of its important, yet open, questions will not find a better resource.The author provides the basic pertinent definitions and theorems in elementary number theory, ranging from greatest common divisors to quadratic recipocity to Waring's problems. A valuable resource for any student especially graduate students preparing for qualifying exams." - J. T. Zerger, Choice Magazine
"This is one of the books in the MAA Guides series, others include A Guide to Complex Variables, Real Variables, and Topology, etc. Since this is a small book, the book review must be short. What we would like to say is that this is a very nice book for anyone interested in number theory. However, if you want to know more about number theory you can read this book first, make yourself familiar with the basic concepts and ideas of number theory, then read Baker's introductory book or Hardy's comprehensive book." - Song Yan, Sigact News
Book Information
ISBN 9780883853474
Author Underwood Dudley
Format Hardback
Page Count 152
Imprint Mathematical Association of America
Publisher Mathematical Association of America
Weight(grams) 320g
Dimensions(mm) 236mm * 156mm * 14mm
An introductory guide to elementary number theory for advanced undergraduates and graduates.
About the Author
Underwood Dudley was born in New York City in 1937. He has bachelor's and master's degrees from the Carnegie Institute of Technology and received the Ph.D. degree (number theory) from the University of Michigan in 1965. He taught at the Ohio State University and at DePauw University, from which he retired in 2004. He is the author of three books on mathematical oddities, The Trisectors, Mathematical Cranks, and Numerology, an elementary number theory text, and is the editor of two collections of mathematical pieces. He has edited the College Mathematics Journal, the Pi Mu Epsilon Journal, and two of the Mathematical Association of America's book series. He has served as the MAA's Polya lecturer and has received its Distinguished Service Award. He is a member of the MAA, the American Mathematical Society, and the Society for Industrial and Applied Mathematics.
Reviews
Anyone who wishes to learn what elementary number theory is about and some of its important, yet open, questions will not find a better resource.The author provides the basic pertinent definitions and theorems in elementary number theory, ranging from greatest common divisors to quadratic recipocity to Waring's problems. A valuable resource for any student especially graduate students preparing for qualifying exams." - J. T. Zerger, Choice Magazine
"This is one of the books in the MAA Guides series, others include A Guide to Complex Variables, Real Variables, and Topology, etc. Since this is a small book, the book review must be short. What we would like to say is that this is a very nice book for anyone interested in number theory. However, if you want to know more about number theory you can read this book first, make yourself familiar with the basic concepts and ideas of number theory, then read Baker's introductory book or Hardy's comprehensive book." - Song Yan, Sigact News
Book Information
ISBN 9780883853474
Author Underwood Dudley
Format Hardback
Page Count 152
Imprint Mathematical Association of America
Publisher Mathematical Association of America
Weight(grams) 320g
Dimensions(mm) 236mm * 156mm * 14mm
