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Razvan Gelca

Putnam and Beyond

Ebook (PDF Format)

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition i… Mehr

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Produktdetails


Weitere Autoren: Andreescu, Titu
  • ISBN: 978-3-319-58988-6
  • EAN: 9783319589886
  • Produktnummer: 33305187
  • Verlag: Springer-Verlag GmbH
  • Sprache: Englisch
  • Erscheinungsjahr: 2017
  • Seitenangabe: 850 S.
  • Plattform: PDF
  • Masse: 9'824 KB
  • Auflage: 2nd ed. 2017
  • Abbildungen: 297 schwarz-weiße Abbildungen, Bibliographie

Über den Autor


Razvan 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.

7 weitere Werke von Razvan Gelca:


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