Gareth Jones Books
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Satisfied CustomerReview Date: 2008-01-17
I Hate Number TheoryReview Date: 2007-08-19
Great buy for aspiring cryptographersReview Date: 2003-04-26
It should be noted, though, that the book does not address any of the computational aspects of Number Theory that are so dear to Cryptography (e.g it's easy to take square roots mod p if p is prime, hard to take square roots mod pq unless you know p,q). This, however, does not reduce its usefulness, since such results become very easy to absorb once one has a decent understanding of number theory and its workings. To fill the computational gaps, I would suggest Dana Angluin's "Lecture Notes on the Complexity of Some Problems in Number Theory" which are freely available on the web (the 2001 LaTeX'ed version)
Excellent intro book on number theoryReview Date: 2005-12-04
This book is the perfect blend of text and formulae for me, and seems an excellent combination of rigour and looseness, always trying to keep a steady pace for the reader without bogging down in pedantic details that are irrelevant to any but the most fastidious of readers. At the same time, the authors also ensure that the reader gains an appreciation of actually proving theorems about numbers, instead of relying on mere intuition or hunches.
As mentioned by other reviews here, the authors have included complete solutions to all of the exercises, which are sprinkled throughout each chapter, as well as at the end of each chapter. This is a welcome change to so many math texts that have "exercises left to the reader," and has been a requirement for me when reading a text in an unfamiliar subject. The exercises are selected appropriately to the content of the chapters and I found them to be a welcome complement to the rest of the book.
In addition, the book discusses applications of number theory to cryptography in a very readable fashion, with any additional mathematics required for the book (in this case some simple group theory and analysis) in two appendices. A book on number theory would also be incomplete without at least a brief discussion of Andrew Wiles and Fermat's Last Theorem. Of course, Elementary Number Theory steps up to the plate appropriately and gives an overview of the history of the theorem and a (necessarily) thin overview of Wiles' proof.
I think, however, one of the best features of the book is that Jones and Jones have attempted to make the text very readable, in the sense that you could sit in a bath and enjoy part of a chapter without any trouble. I have always enjoyed reading mathematics without pen and paper handy, mainly because it improves my memory and visualization when working through problems, and this text helps greatly in that regard. They do not go for the obscure, and realize that the people who are reading this text are doing so for the first time (hence the title) and will not be overly impressed if the authors had chosen to blind us with their brilliance. The authors understand that we are mere mortals with busy lives, and appreciate a smoothly flowing textbook without having to stumble through unique and cryptic notation or a difficult proof without any explanation.
If you are a beginner, this is the bookReview Date: 2007-01-10

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ReviewReview Date: 2008-02-13
Great Book... Review Date: 2008-01-24


ReviewReview Date: 2008-02-13
Great Book... Review Date: 2008-01-24


A Chat at FiresideReview Date: 2000-09-23
This book you can have "both ways." You can take is as a general read, picking up on parts of the Old Testament that have always fascinated or intrigued you. Or, you can read it paragraph by paragraph in order to more fully absorb the scholarship Rev. Jones offers.
What's offered here works well in study groups, too.
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A great strategic bookReview Date: 2000-10-13
It's a great choice!

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Insightful and Intelligent InvestigationReview Date: 2002-08-13
The medical and ethical challenges that cloning faces is enormous. Jones does an expert job of analyzing both the ethical and the scientific aspects of cloning individually and corporately. He recognizes that these two points of view must be reconciled before a scientific advance such as cloning is to proceed.


an important workReview Date: 2006-03-04
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Brilliant Historical Underpining to Sachs' Current WorkReview Date: 2006-04-04
For those who wish to immerse themselves on the pros and cons of the debate over poverty, this is an essential intellectual foundation to the current work by Jeffrey Sachs who is both the advisor to the Secretary General of the UN on the Millennium project, and the head of the Columbia Earth Institute.
Thomas Jefferson said that "A Nation's best defense is an educated citizenry." He probably would have agreed to amend that to say an educated, healthy citizenry able to work. A historical appreciation of the phrase "pursuit of happiness" suggests that Jefferson actually meant, in lieu of selfish pleasure, the pursuit of self- actualization.
This book completes a circle with C. K. Prahalad's The Fortune at the Bottom of the Pyramid: Eradicating Poverty Through Profits (Wharton School Publishing Paperbacks) which suggests that there is a four trillion a year marketplace among the five billion poorest, and that unleashing their entrepreneurial initiative could save the world, and the definitive work by Jeffrey Sachs, on how can end poverty for $70 per year per person.

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...And The Sea Will Turn Into A Tastey Beverage...Review Date: 2000-04-29

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Among the best in a breakthrough series of paperbacksReview Date: 2004-12-16
In this volume, we are provided with eight previously published articles which, from a variety of perspectives, examine an especially important business subject: How to achieve breakthrough leadership. In the first, Harris Collingwood shares leaders' remembrances of moments and others who have shaped them. The core concepts in the next article, "Primal Leadership: The Hidden Driver of Great Performance," were later developed in several books co-authored by Daniel Goleman, Richard Boyatzis, and Annie McKee. Collingwood then reappears as co-moderator with Julia Kirby of a roundtable discussion during which six experts (e.g. Frances Hesselbein who is chairman of the Peter F. Drucker Foundation and Frederick Smith who is chairman and CEO of FedEx. For me, one of the most thought-provoking articles is the one in which Richard S. Tedlow explains why and how "a handful of simple principles" followed by seven "titans of industry" (i.e. Carnegie, Eastman, Ford, Noyce, Revson, Walton, and Watson, Sr.) can also be applied by others to achieve breakthrough results. The material in the remaining five articles is also worthy careful consideration. Of course, the value of each article will largely be determined by its reader's own interests and (especially) needs.
I have read and reviewed almost all of the volumes which comprise the "Harvard Business Review Paperback Series." This is one of the best but the same benefits are offered by all of the others: Cutting-edge ideas which can have the greatest impact for about 30% of the cost, were the articles ordered separately as reprints. Better yet, they are grouped by common business topic but their authors approach that topic from significantly different perspectives. Most executives should own and then read all of the volumes in this series. Once having done so, my guess is that they will frequently return to specific articles for guidance whenever an unexpected problem or opportunity appears. hence the importance of highlighting key passages. Hence the importance of the Executive Summary for each article in each volume. And hence the importance of having direct and convenient access.
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