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Elementary Number Theory & Its Applications

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Elementary Number Theory and Its Applications is noted for its outstanding exercise sets, including basic exercises, exercises designed to help students explore key concepts, and challenging exercises. Computational exercises and computer projects are also provided. In addition to years of use and professor feedback, the fifth edition of this text has been thoroughly checked to ensure the quality and accuracy of the mathematical content and the exercises. The blending of classical theory with modern applications is a hallmark feature of the text. The Fifth Edition builds on this strength with new examples and exercises, additional applications and increased cryptology coverage. The author devotes a great deal of attention to making this new edition up-to-date, incorporating new results and discoveries in number theory made in the past few years.

776 pages, Unbound

First published January 1, 1984

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About the author

Kenneth H. Rosen

58 books43 followers
Dr. Rosen received his B.S. in Mathematics from the University of Michigan, Ann Arbor
(1972), and his Ph.D. in Mathematics from M.LT. (1976).

Dr. Rosen has published numerous articles in professional journals in the areas of number theory and mathematical modeling. He is the author of the textbooks Elementary Number Theory and Its Applications, published by Addison-Wesley and currently in its fifth edition, and Discrete Mathematics and Its Applications

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5 stars
59 (43%)
4 stars
40 (29%)
3 stars
27 (20%)
2 stars
7 (5%)
1 star
2 (1%)
Displaying 1 - 7 of 7 reviews
5 reviews
February 17, 2016
Try working problems 12, 13, 14, 15, 16, 17, 20, 23, 25, 27, 28, 29, 33, 34, 44 and 45 of section 1.1 from the sketchy exposition provided.

Try working problems 5, 10, 14, 15, 16, 17, 21, 22, 23, and 24 from the sketchy exposition provided.in section 1.2

Try working out the proofs of Bertrand's Conjecture and Bonse's Inequality, topics which deserve their own exposition, asked for in the problems for Section 3.2.

Try understanding the least remainder theorem which deserves its own exposition, but instead is relegated to problems 14-18 of Section 3.4, much less working the problems themselves.

Problems 10-25 of Section 3.4 or over half are unworkable from the exposition!!!!!

Problems 19-42 of Section 7.5 cannot be worked from the exposition.

This is only the tip of the iceberg.

In addition numerous answers in the back of the book are completely unintelligible.

Rosen has gone out of his way to transmogrify an interesting subject into a nightmare of incomprehensibility and frustration and managed to collect royalties for it. I don't know who is more despicable, Rosen or the reviewers on this thread who are obviously lying through their teeth about this book.

In short, this book is roughly 500 pages of incomprehensible trash for which no one reading the dishonest reviews on this thread should be conned into shelling out his hard-earned dollars.
6 reviews
May 24, 2024
This book has a possibility to change the way that you see the set of integers and the underlying interactions that we have made up/discovered about them. One of the most beautiful books in all of mathematics
8 reviews2 followers
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May 17, 2010
Read chapters 1, 3, 4, 6, 7, 9, 11, 14.
Profile Image for John Hammond.
122 reviews8 followers
January 22, 2011
This was a good introductory text we using in my undergraduate Theory of Numbers course.
Displaying 1 - 7 of 7 reviews

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