Putnam and Beyond

Răzvan Gelca, Texas Tech University, works in Chern-Simons theory, a   field of mathematics that blends low dimensional topology, mathematical physics, geometry, and the theory of group representations. He is also involved in mathematics competitions such as the mathematical Olympiads and the W.L. Putnam Mathematical Competition. He is co-author of 2 published books (with Titu Andreescu), namely “Mathematical Olympiad Challenges” and the first edition of “Putnam and Beyond.” In 2015 Gelca and Andreescu will also publish a monograph on Pell’s Equations.Titu Andreescu, University of Texas-Dallas,  is highly involved with mathematics contests and olympiads. He was the Director of AMC (as appointed by the Mathematical Association of America), Director of MOP, Head Coach of the USA IMO Team and Chairman of the USAMO. He has also authored a large number of books on the topic of problem solving and olympiad-style mathematics including the first edition of “Putnam and Beyond” (with Razvan Gelca), “Mathematical Olympiad Treasures” and “Mathematical Olympiad Challenges” (with Razvan Gelca). Additional Springer publications include “Mathematical Bridges”, “Complex Numbers from A to …Z”, “Number Theory” and a new monograph on Pell’s Equations to be published in 2015.

• Preface to the Second Edition.- Preface to the First Edition.- A Study Guide.- 1. Methods of Proof.- 2. Algebra.- 3. Real Analysis.- 4. Geometry and Trigonometry.- 5. Number Theory.- 6. Combinatorics and Probability.- Solutions.- Index of Notation.- Index.