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102 Combinatorial Problems : From the Training of the USA IMO Team by Zuming Feng and Titu Andreescu (2002, Trade Paperback)
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About this product
Product Identifiers
PublisherBirkhäuser Boston
ISBN-100817643176
ISBN-139780817643171
eBay Product ID (ePID)2285504
Product Key Features
Number of PagesXii, 115 Pages
LanguageEnglish
Publication Name102 Combinatorial Problems : from the Training of the USA Imo Team
Publication Year2002
SubjectGeneral, Algebra / General, Combinatorics, Discrete Mathematics
TypeTextbook
Subject AreaMathematics, Education
AuthorZuming Feng, Titu Andreescu
FormatTrade Paperback
Dimensions
Item Weight16 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2002-028382
ReviewsFrom the reviews:"Andreescu's 51 'introductory problems' and 51 'advanced problems,' all novel, would nicely supplement any university course in combinatorics or discrete mathematics. This volume contains detailed solutions, sometimes multiple solutions, for all the problems, and some solutions offer additional twists for further thought . . . " -CHOICE"Another excellent effort towards building combinatorial skills especially for students engaged in mathematical competitions is presented in this book through 102 selected Combinatorial problems."-ZENTRALBLATT MATH"Each solution is given in full, and often with alternative versions as well. Some solutions introduce standard combinatorial tools like inclusion-exclusion, generating functions, and graphs. Others stray into probability, number theory, complex numbers, inequalities and functional equations. The book will be useful for teachers looking for challenging problems for able students and for those preparing for Olympiads."-The MATHEMATICAL GAZETTE"This book contains 102 highly selected combinatorial problems used in the training and testing of the USA International Mathematical Olympiad team. Half of the problems are introductory, while the rest are more difficult. All problems have complete solutions. . . It is not a collection of very difficult, impenetrable questions. Instead, the book gradually builds students' combinatorial skills and techniques. It aims to broaden a student's view of mathematics in perparation for possible participation in mathematical competitions." -IASI POLYTECHNIC MAGAZINE"Both of the two authors serves as a coach of the USA International Mathematical Olympiad (IMO) Team for several years. … the book gradually builds students' combinatorial skills and techniques. It aims to broaden a student's view of mathematics in preparation for possible participation in mathematical competitions. … this is a book for problem-solvers. … The present collection of problems and the presented solutions are carefully designed to develop the readers' problem-solving abilities. … Have fun working on them!" (Péter Hajnal, Acta Scientiarum Mathematicarum, Vol. 69, 2003), From the reviews: "Andreescu's 51 'introductory problems' and 51 'advanced problems,' all novel, would nicely supplement any university course in combinatorics or discrete mathematics. This volume contains detailed solutions, sometimes multiple solutions, for all the problems, and some solutions offer additional twists for further thought . . . " -CHOICE "Another excellent effort towards building combinatorial skills especially for students engaged in mathematical competitions is presented in this book through 102 selected Combinatorial problems." -ZENTRALBLATT MATH "Each solution is given in full, and often with alternative versions as well. Some solutions introduce standard combinatorial tools like inclusion-exclusion, generating functions, and graphs. Others stray into probability, number theory, complex numbers, inequalities and functional equations. The book will be useful for teachers looking for challenging problems for able students and for those preparing for Olympiads." -The MATHEMATICAL GAZETTE "This book contains 102 highly selected combinatorial problems used in the training and testing of the USA International Mathematical Olympiad team. Half of the problems are introductory, while the rest are more difficult. All problems have complete solutions. . . It is not a collection of very difficult, impenetrable questions. Instead, the book gradually builds students' combinatorial skills and techniques. It aims to broaden a student's view of mathematics in perparation for possible participation in mathematical competitions." -IASI POLYTECHNIC MAGAZINE "Both of the two authors serves as a coach of the USA International Mathematical Olympiad (IMO) Team for several years. … the book gradually builds students' combinatorial skills and techniques. It aims to broaden a student's view of mathematics in preparation for possible participation in mathematical competitions. … this is a book for problem-solvers. … The present collection of problems and the presented solutions are carefully designed to develop the readers' problem-solving abilities. … Have fun working on them!" (Péter Hajnal, Acta Scientiarum Mathematicarum, Vol. 69, 2003), From the reviews: "Andreescu's 51 'introductory problems' and 51 'advanced problems,' all novel, would nicely supplement any university course in combinatorics or discrete mathematics. This volume contains detailed solutions, sometimes multiple solutions, for all the problems, and some solutions offer additional twists for further thought . . . " --CHOICE "Another excellent effort towards building combinatorial skills especially for students engaged in mathematical competitions is presented in this book through 102 selected Combinatorial problems." --ZENTRALBLATT MATH "Each solution is given in full, and often with alternative versions as well. Some solutions introduce standard combinatorial tools like inclusion-exclusion, generating functions, and graphs. Others stray into probability, number theory, complex numbers, inequalities and functional equations. The book will be useful for teachers looking for challenging problems for able students and for those preparing for Olympiads." --The MATHEMATICAL GAZETTE "This book contains 102 highly selected combinatorial problems used in the training and testing of the USA International Mathematical Olympiad team. Half of the problems are introductory, while the rest are more difficult. All problems have complete solutions. . . It is not a collection of very difficult, impenetrable questions. Instead, the book gradually builds students' combinatorial skills and techniques. It aims to broaden a student's view of mathematics in perparation for possible participation in mathematical competitions." --IASI POLYTECHNIC MAGAZINE "Both of the two authors serves as a coach of the USA International Mathematical Olympiad (IMO) Team for several years. ... the book gradually builds students' combinatorial skills and techniques. It aims to broaden a student's view of mathematics in preparation for possible participation in mathematical competitions. ... this is a book for problem-solvers. ... The present collection of problems and the presented solutions are carefully designed to develop the readers' problem-solving abilities. ... Have fun working on them!" (Péter Hajnal, Acta Scientiarum Mathematicarum, Vol. 69, 2003)
Dewey Edition21
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal511/.6
Table Of ContentPreface and Introduction * Acknowledgments * Abbreviations andNotations * Introductory Problems * Advanced Problems * Solutions toIntroductory Problems * Solutions to Advanced Problems * Glossary *Further Reading
Synopsis102 carefully selected problems (with solutions) used to train andtest the USA International Mathematical Olympiad (IMO) team arepresented here. Undergraduates in combinatorics and tangential areasand advanced high school students will find a stimulating, practicalchoice of topics, including combinatorial arguments and identities,generating functions, graph theory, recursive relations, sums andproducts, probability, number theory, polynomials, theory ofequations, complex numbers in geometry, algorithmic proofs,combinatorial and advanced geometry, functional equations andclassical inequalities., "Andreescu's 51 'introductory problems' and 51 'advanced problems,' all novel, would nicely supplement any university course in combinatorics or discrete mathematics. This volume contains detailed solutions, sometimes multiple solutions, for all the problems, and some solutions offer additional twists for further thought . . . "--CHOICE 102 Combinatorial Problems consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. The text provides in-depth enrichment in the important areas of combinatorics by systematically reorganizing and enhancing problem-solving tactics and strategies. The book gradually builds combinatorial skills and techniques and not only broadens the student's view of mathematics, but is also excellent for training teachers., "Andreescu's 51 'introductory problems' and 51 'advanced problems, ' all novel, would nicely supplement any university course in combinatorics or discrete mathematics. This volume contains detailed solutions, sometimes multiple solutions, for all the problems, and some solutions offer additional twists for further thought . . . "--CHOICE 102 Combinatorial Problems consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. The text provides in-depth enrichment in the important areas of combinatorics by systematically reorganizing and enhancing problem-solving tactics and strategies. The book gradually builds combinatorial skills and techniques and not only broadens the student's view of mathematics, but is also excellent for training teachers., "102 Combinatorial Problems" consists of carefully selected problemsthat have been used in the training and testing of the USAInternational Mathematical Olympiad (IMO) team.Key features:* Provides in-depth enrichment in the important areas of combinatoricsby reorganizing and enhancing problem-solving tactics and strategies* Topics include: combinatorial arguments and identities, generatingfunctions, graph theory, recursive relations, sums and products,probability, number theory, polynomials, theory of equations, complexnumbers in geometry, algorithmic proofs, combinatorial and advancedgeometry, functional equations and classical inequalitiesThe book is systematically organized, gradually building combinatorialskills and techniques and broadening the student's view ofmathematics. Aside from its practical use in training teachers andstudents engaged in mathematical competitions, it is a source ofenrichment that is bound to stimulate interest in a variety ofmathematical areas that are tangential to combinatorics., 102 carefully selected problems (with solutions) used to train and test the USA International Mathematical Olympiad (IMO) team are presented here. Undergraduates in combinatorics and tangential areas and advanced high school students will find a stimulating, practical choice of topics, including combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities.
LC Classification NumberQA297.4
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