Theory and Application of Infinite Series4 reviews Konrad Knopp Dover Publications, 1990 A Truly Marvelous Value + How to tell if you are a "formalist" -- + The best book on infinite series The last chapter on the Euler-MacLauren summation formula, and attendant interrelations among the Zeta function, Bernoulli Numbers and Bernoulli Polynomials is alone worth three times the price of this gem. Chock full of recipes and explanations of many of those little annoying points you don't ...             The Theory of the Riemann Zeta-Function (Oxford Science Publications)2 reviews E. C. Titchmarsh Oxford University Press, USA, 1987 Complete source of the zeta function + An very comprehesive book for Zeta Function. This is the true encyclopaedia of the zeta function. Although I prefer Ivic, I always have the feeling that Titchmarsh wants to appear brilliant. This book cannot be criticized because of the amount of time and effort that must have been spent on it. It was update in 1986 by Heath Brown. It is ...             The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities (Maa Problem Books ...6 reviews J. Michael Steele Cambridge University Press, 2004 Erudite and stimulating problem book in inequalities + Amazing + Great Book, Entertaining + A delicious smorgasbord of inequalities + at the core of mathematics             Handbook of Elliptic and Hyperelliptic Curve Cryptography (Discrete Mathematics and Its Applications)3 reviews Chapman & Hall/CRC, 2005 Very understandable overview of modern developments + A seminal work in its field + One of the best books on this domain Elliptic curve cryptography is now an entrenched field and has been subjected to an enormous amount of research in the last fifteen years. As soon as encryption schemes based on arithmetic in elliptic curves were proposed, it was natural to speculate on whether these schemes could be generalized to ...             The Distribution of Prime Numbers (Cambridge Mathematical Library)2 reviews A. E. Ingham Cambridge University Press, 1990 Concise yet informative + Don't be foled by the small size of this book Ingham's book is excellent. It contains much of the material of the first volume Handbuch der Lehre von der Verteilung der Primzahlen. Von dr. Edmund Landau. Vol. 1 of Landau's immense two volume work, and while it is very much to the point there are extensive notes detailing many interesting ...             An Introduction to the Theory of the Riemann Zeta-Function (Cambridge Studies in Advanced Mathematics)2 reviews S. J. Patterson Cambridge University Press, 1995 Analytic Number Theory through Zeta-Function + An excellent resource for those interested in Riemann's This introductory textbook gives a very good insight of analytic number theory through the special topic of Riemann Zeta-Function. It also includes of course an excellent exposition of its relationship with the Prime Number Theorem and with Riemann and Lindelöf Hypotheses. Moreover, seven ...             The Riemann Zeta-Function: Theory and Applications3 reviews Aleksandar Ivic Dover Publications, 2003 a great update of titchmarsh's book + Stalking the zeros + Riemann Zeta Function - Density of Zeros on the Critical Line this is book is an udpate of the book of titchmarsh (the theory of the riemann zeta function). it covers all the results from 1957 to 1985 (up to atkinson's formula). if you are looking for stuff about prime numbers, or the prime number distribution, this book will only cover a tiny bit. there is ...             The Higher Arithmetic: An Introduction to the Theory of Numbers3 reviews H. Davenport Cambridge University Press, 2000 This is a MUST BUY if you want to learn Number Theory! + Dated due to lack of material on modern encryption, still suitable for learning number theory + Good book, but if you have the money, there are better This book is an AMAZING introduction to the Theory of Numbers. It assumes no previous exposure to the subject, or any technical mathematical knowledge for that matter. Its prose is lucid and the style appealing. Davenport chose NOT to write a lemma-theorem-proof kind of book, and the result is a ...             Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)1 review Joseph H. Silverman Springer, 1999 The most fascinating objects in all of mathematics This book is a continuation of the authors earlier book on elliptic curves, which was also an excellent book, and treats the more specialized topics in elliptic curves. I cannot think of a branch of physics or engineering that has not made use of some facet of the theory of elliptic curves, and ...             Elliptic Curves. (MN-40)1 review Anthony W. Knapp Princeton University Press, 1992 So much insight for so little assumed background Usually the Princeton Notes are written for specialists in the field. This book by Knapp is a definite exception. The didactic quality is excellent, and the background assumed of the reader is meager compared to what you can take away by reading this book. The reader is only assumed to have an ...             The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)4 reviews Joseph H. Silverman Springer, 1994 Excellent introductory text + many typos, but the best book. + Essential introduction + Who could ask for more?             Gamma: Exploring Euler's Constant25 reviews Julian Havil Princeton University Press, 2003 An excellent read! + The transcendence problem + An excellent elementary overview of analytic number theory. + Gamma Exploring Euler's Constant + Good but demanding             Guide to Elliptic Curve Cryptography (Springer Professional Computing)3 reviews Darrel Hankerson, Alfred J. Menezes, ... Springer, 2004 fabulous introduction to implementing ECC + Detailed and practical + A very nice introduction to the field I bought this book because I was designing a cryptographic protocol, and wanted to know if I could use ECC in my design. It begins with an explanation of "traditional" public key cryptography (i.e., cryptography over prime fields), introduces binary fields and elliptic curves, shows how to perform ...             The Queen of Mathematics : An Historically Motivated Guide to Number Theory5 reviews Jay R. Goldman AK Peters, Ltd., 1997 Broader introduction than usual + gives an appreciation of key contributors + A skillful blend of history and solid number theory + A superbly presented work of impressive scholarship + A Modern Classic             A Course in Number Theory and Cryptography (Graduate Texts in Mathematics)14 reviews Neal Koblitz Springer, 1994 Outstanding presentations + Koblitz's Course in Number Theory and Cryptography + Essential for your secrets + Pleasant introduction to cryptography + Excellent book for self study             The Method of Trigonometrical Sums in the Theory of Numbers (Dover Books on Mathematics)1 review I. M. Vinogradov Dover Publications, 2004 a rare book The book get a very clear view about the trigonometrical sums in number theory and it's not so easy to find a work like this in the specialized literature.By the way it is a work of "first hand" that means that the author is one of the most important theorist in this field and much of the topics ...             Riemann's Zeta Function15 reviews Harold M. Edwards Dover Publications, 2001 Riemann Zeta Function & The Riemann Hypothesis + a famous function unravelled + A fascinating journey of discovery Undoubtedly the best technical exposition on the Riemann Zeta Function, complete with derivations, proofs, and examples of calculations. As a special treat, it includes a translation of Riemann's original paper on the Zeta function, a photocopy of one page of Riemann's notes, and detailed ...             Rational Points on Elliptic Curves (Undergraduate Texts in Mathematics)4 reviews Joseph H. Silverman, John Tate Springer, 1994 Excellent Introduction to Elliptic Curves + "It is possible to write endlessly on elliptic curves. (This is not a threat)" + Friendly, but probably not the best + Full of useful information and a great guide to intuition             Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics)4 reviews Neal I. Koblitz Springer, 1993 Clearly the best + Brilliant Exposition + Well written text on modular forms and elliptic curves + Organized and Wonderful             Inequalities (Cambridge Mathematical Library)4 reviews G. H. Hardy, J. E. Littlewood, ... Cambridge University Press, 1988 This is one of the most important books of the century. + Central to math education - maybe not central to yours + yes, do buy + What ?? Only one review (so far) for this classic?