About this item
Note: Always available directly from the publisher at the American Mathematical Society Bookstore! An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g. Pell's equation) and to study reduction and the finiteness of class numbers.
About the Author
Martin Weissman (1976-) grew up in St. Louis, Missouri. He studied mathematics at Princeton University (A.B.) and Harvard University (PhD) , before moving west for a postdoc at UC Berkeley. From there, he moved down the coast to join the faculty at UC Santa Cruz. A researcher in number theory and representation theory, he has taught elementary number theory for undergraduates and graduate students, K-12 teachers, and high-school students.More information and papers can be found at martyweissman.com . Supplementary material for An Illustrated Theory of Numbers can be found at illustratedtheoryofnumbers.com. Check out that page for errata, an introduction to Python programming for number theory, art prints and more!
