Concepts and Problems for Mathematical Competitors

This original work discusses mathematical methods needed by undergraduates in the United States and Canada preparing for competitions at the level of the International Mathematical Olympiad (IMO) and the Putnam Competition. The six-part treatment covers counting methods, number theory, inequalities and the theory of equations, metrical geometry, analysis, and number representations and logic. Includes problems with solutions plus 1,000 problems for students to finish themselves. AUTHORS: Alexander Sarana Zhytomyr University, Ukraine Anatoliy Pogoruy Zhytomyr University, Ukraine Ramon M. Rodriguez-Dagnino Tecnológico de Monterrey, Mexico

Order of author names on title page: Alexander Sarana Zhytomyr University, Ukraine Anatoliy Pogoruy Zhytomyr University, Ukraine Ramón M. Rodríguez-Dagnino Tecnológico de Monterrey.. Mexico Copyright is in name of three authors Mss is in PDF form Mss must be copy edited and proofread for English usage and mathematical content Authors should see suggested corrections to confirm all corrections prior to making corrections Authors should see final before it goes to printing MSS. issues: Authors have placed a copyright symbol etc in fm and at end of each chapter. delete these throughout book as copyright attribution is on copyright page Running heads do not appear on each page of the PDF mss., Need resolution of this issue PDF mss has each chapter beginning recto. If we can sustain this without blank pages  fine; if not run in chapters where they occur Figures: There are 4-C figures in the text. resolve to gray scale or use symbols. Figures may need to be redrawn (see pgs. 298 and 299 for examples).

This original work discusses mathematical methods needed by undergraduates in the United States and Canada preparing for competitions at the level of the International Mathematical Olympiad (IMO) and the Putnam Competition. The six-part treatment covers counting methods, number theory, inequalities and the theory of equations, metrical geometry, analysis, and number representations and logic. Includes problems with solutions plus 1,000 problems for students to finish themselves.

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