Read The Classics!        General Investigations of Curved Surfaces: Edited with an Introduction and Notes by Peter Pesic Karl Friedrich Gauss Dover Publications, 2005 Long regarded as a masterpiece in content and form, this work defines the concept of surface curvature and presents the important theorem stating that the "Gauss curvature" is invariant under arbitrary isometric deformation of a curved surface. This edition of Gauss's classic features a new introduction, bibliography, and notes by science historian Peter Pesic. 1902 edition.             The Geometry of Rene Descartes4 reviews Rene Descartes Dover Publications, 1954 Great book to work through + Fabulous + Enter Modern Mathematics This book contains a facsimile of the original version which runs nearly page for page with the English version. This is a true mathematical masterpiece. This was the supposed beginning of analytical Geometry(although it is now known that this was not true). It's a great book to work through ...             Galois Theory: Lectures Delivered at the University of Notre Dame (Notre Dame Mathematical Lectures, Number 2)10 reviews Emil Artin, Arthur N. Milgram Dover Publications, 1997 Succinct exposition of modern Galois theory by a pioneer. + Not a Self-Contained Book on Galois Theory + Artin is the man + the source! + just enjoy             Diophantus Of Alexandria: A Study In The History Of Greek Algebra Thomas L. Heath Martino Pub, 2003 Reprint of 1910 Cambridge University Press, Second edition. Cloth, [vi] 387 pp. With a Supplement Containing an Account of Fermat's Theorems and Problems Connected with Diophantine Analysis and Some Solutions of Diophantine.             On Formally Undecidable Propositions of Principia Mathematica and Related Systems13 reviews Kurt Gödel Dover Publications, 1992 One of the Best Books You Should Never Read + Gödel's proof of the inadequacy of formalism Godel's incompleteness theorem's are without a doubt genious. However, this day in age, no logician actually reads Godel's original work unless they are only interested in the historical aspect of it. Godel himself is not a very good writer. If you want to study Godel's incompleteness theorems ...             Continued Fractions4 reviews A. Ya. Khinchin Dover Publications, 1997 I recommend this book to anyone who loves mathematics. + For Professionals + A good start! + Classic text, however not suitable for a first exposure.             Fibonacci's Liber Abaci Laurence Sigler Springer, 2003 First published in 1202, Fibonacci's Liber abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. Its author, Leonardo Pisano, known today as Fibonacci, was a citizen of Pisa, an active maritime power, with trading outposts on the Barbary Coast and other points in the Muslim Empire. As a youth, Fibonacci was ...             Euclid's Elements14 reviews T.L. Heath Translation Green Lion Press, 2002 nice edition of a beautiful classic + A superior edition + Euclid's Elements + Beautiful, but I prefer the recent Fitzpatrick edition ... + A beautiful and functional rendering of one of the all-time greats.             The Book of Squares. An annotated translation into modern English by L. E. Sigler Leonardo Pisano Fibonacci Academic Press, 1987 The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was ...             Disquisitiones Arithmeticae8 reviews Carl F. Gauss Springer, 1986 Choose your edition carefully + understandable to all + Martin Christensen"s Review + Not bad for 204 years old.             Essays on the Theory of Numbers5 reviews Richard Dedekind Dover Publications, 1963 Accessible genius + Foundations of the reals, foundations of the integers + Will Appeal to Students of Mathematics and Philosophy + An interesting pair of historical essays             Godel's Proof33 reviews Ernest Nagel, James R. Newman NYU Press, 2001 how i understand Godel + A fine essay introducing the basic idea + Godel for people such as we (who are familiar with a little Theory of Numbrets) + A Simple Presentation of a Complex Topic + Godel's incompleteness theorems explained in non-technical language             A Course of Pure Mathematics (Cambridge Mathematical Library)17 reviews G.H. Hardy Cambridge University Press, 1993 Let's Not Go Overboard + A CLASSIC AND A MASTERPIECE. + Excellence is Timeless First, this is very nice book that was first published in 1908. It is EXTREMELY well written BUT what Hardy does in around 500 pages Rudin does in around 100 and with a more rigor (but, admittedly, very terse). You also have to remember that if you are studying analysis from a book 100 years old ...             Lectures on Number Theory (History of Mathematics Source Series, V. 16)1 review Peter Gustav Lejeune Dirichlet, Richard Dedekind, ... American Mathematical Society, 1999 Gauss and then some Dirichlet is all about quadratic forms. But first there are three preliminary chapters on the tools we will need: unique factorisation, modulo arithmetic, quadratic reciprocity. Then in chapter 4 we get to the quadratic forms, ax^2+2bxy+cy^2. "The whole theory originates in the problem of deciding ...             An Introduction to the Theory of Numbers (Oxford Science Publications)9 reviews G. H. Hardy, E. M. Wright Oxford University Press, USA, 1980 One of the greatest + a milestone and a shining star in elementary number theory + Nice intro to number theory + Superb Introduction for the Mathematical Sophisticate + THE BOOK on number theory---BUY IT!!!!             Theory of Algebraic Integers (Cambridge Mathematical Library)3 reviews Richard Dedekind Cambridge University Press, 1996 Emmy Noether called it a must-read + An antidote against too much modernistic algebra + Emmy Noether called it a must-read This is Dedekind's famous creation of the theory of (algebraic number) rings and modules, as an appendix to his edition of Dirichlet's LECTURES ON NUMBER THEORY. In fact it went through several editions, and Noether insisted that her students read every edition of it. Her watchword was "It is all ...             The Principles of Mathematics6 reviews Bertrand Russell W. W. Norton & Company, 1996 Russell's Magnum Opus + Excellent Introduction to Mathematics and its Conceptual Structure + An interesting read after the Principia + Classic + Spliting Hairs Infinitesimally             The Early Mathematical Manuscripts of Leibniz (Dover Books on Mathematics)1 review G. W. Leibniz Dover Publications, 2005 Miraculous It always puzzled me that we study Voltaire's literary attack on Leibniz's ideas, but we never discuss the ideas Voltaire was responding to. We study forms of mathematics which were designed to argue against Leibniz's more radical mathematical ideas, but we aren't led through the history of how the ...             Elementary Number Theory1 review Edmund Landau American Mathematical Society, 1999 definitive book on number theory - now in English For mathematicians who specialise in number theory, there is one universally recognised benchmark. Landau's monumental Elementare Zahlentheorie. Written decades ago, it is still regarded as the definitive text. The only problem is that it is in German. So if you do not know German, you're out of ...             The Works of Archimedes3 reviews Archimedes Dover Publications, 2002 Brilliant (but mostly not so _newly_ known) + maybe more than one point of view is possible Again I feel I must post a review to counter misleading information in an earlier review. The author of the previous review seems to think these works were _not_ available to scholars during the Renaisance. In fact, the famous "Archimedes Palimpsest" that resurfaced in the 1990s is only a ...              Kindle - Amazon's New Wireless Reading Device This is the future of book reading. I have used it and love it! randomly chosen book: Terror in the Holy Land: Inside the Anguish of the Israeli-Palestinian ... we recommend One of the greatest leave a comment home  impressum - about us