{"product_id":"concepts-and-problems-for-mathematical-competitors-dover-books-on-mathematics","title":"Concepts and Problems for Mathematical Competitors (Dover Books on Mathematics)","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eBiographical Note\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tRamón Martin Rodríguez-Dagnino is a Professor in the Electrical and Computer Engineering Dept. at the Tecnologico de Monterrey (ITESM) in Monterrey, Mexico: Ramón M. Rodríguez-Dagnino teaches there as well. Alexander Sarana teaches at Zhytomyr University, Ukraine.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eBrief Description\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\t\"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\"--\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tPart I. Counting Methods \n\u003cbr\u003e 1. Mathematical Induction \n\u003cbr\u003e 2. Counting in Two Ways \n\u003cbr\u003e 3. Correspondence or Equivalent Representations \n\u003cbr\u003e 4. Combinatorics \n\u003cbr\u003e 5. Invariants \n\u003cbr\u003e 6. Parity \n\u003cbr\u003e 7. Extremal Principle \n\u003cbr\u003e 8. Dirichlet's Principle \n\u003cbr\u003e 9. Graphs \n\u003cbr\u003e Part II. Theory of Numbers \n\u003cbr\u003e 10. Divisibility and Remainders, Euclid's Algorithm \n\u003cbr\u003e 11. Equations with Integers \n\u003cbr\u003e 12. Rational and Irrational Numbers \n\u003cbr\u003e Part III. Inequalities and Theory of Equations \n\u003cbr\u003e 13. Methods of Proving Inequalities \n\u003cbr\u003e 14. The Average Values, Cauchy's Inequality \n\u003cbr\u003e 15. Non-Standard Equations and Systems of Equations \n\u003cbr\u003e 16. Applying Inequalities when Solving Equations and Systems of Equations \n\u003cbr\u003e 17. Application of Properties of Functions \n\u003cbr\u003e 18. Problems Containing Whole and Fractional Part of Numbers \n\u003cbr\u003e 19. Functional Numbers \n\u003cbr\u003e Part IV. Metrical Geometry \n\u003cbr\u003e 20. Placement of Figures on a Plane, Coating, Cutting and Coloring Figures \n\u003cbr\u003e 21. Gaming Problems \n\u003cbr\u003e 22. Planimetric Problems \n\u003cbr\u003e 23. Transformation of the Plane, Geometric Constructions \n\u003cbr\u003e 24. Vector Methods \n\u003cbr\u003e 25. Geometric Inequalities and Extremes \n\u003cbr\u003e 26. Stereometry Problems \n\u003cbr\u003e Part V. Analysis \n\u003cbr\u003e 27. Sequences \n\u003cbr\u003e 28. Limit of a Sequence and of a Function \n\u003cbr\u003e 29. Applications of Derivative and Integral \n\u003cbr\u003e 30. Parametric Problems \n\u003cbr\u003e 31. Jensen's Inequality \n\u003cbr\u003e Part VI. Number Representations and Logic \n\u003cbr\u003e 32. Numbers with Some Given Properties \n\u003cbr\u003e 33. Logical Problems \n\u003cbr\u003e Glossary \n\u003cbr\u003e Bibliography \n\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tThis book presents the mathematical methods that students need when preparing for competitions, whether for the International Mathematical Olympiad (IMO) for high school students or the Putnam competition for undergraduate students. \n\u003cbr\u003e The book features six parts, each subdivided into several chapters. The six major sections address counting methods, number theory, inequalities and the theory of equations, metrical geometry, analysis, and number representations and logic. Each chapter provides detailed solutions to a series of problems as well as approximately 30 more problems; the text thus provides about 1,000 problems to be solved. In addition to its value to students preparing for competitions, this volume is a useful resource for those seeking a thorough and practical review of mathematical methods. \n\u003cbr\u003e For high school, undergraduate, and graduate students in mathematics\u003cbr\u003e\u003cbr\u003e\n\u003c\/p\u003e\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46581132034179,"sku":"SPTM-9780486842530","price":39.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486842530_spiral_3884ea97-6809-4058-a368-e662f15f0873.png?v=1770802805","url":"https:\/\/sebink.com\/products\/concepts-and-problems-for-mathematical-competitors-dover-books-on-mathematics","provider":"Sebink","version":"1.0","type":"link"}