From Erdos To Kiev Problems To Olympiad Caliber

Author : Ross Honsberger
Publisher : Unknown
Page : 257 pages
File Size : 48,8 Mb
Release : 1996
Category : Mathematics
ISBN : 0883853000

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From Erdös to Kiev by Ross Honsberger Pdf

Author : Ross Honsberger
Publisher : American Mathematical Soc.
Page : 257 pages
File Size : 42,7 Mb
Release : 2020-07-29
Category : Education
ISBN : 9781470458409

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From Erdős to Kiev: Problems of Olympiad Caliber by Ross Honsberger Pdf

Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but it will also appeal to anyone who enjoys a mathematical challenge. Most of the problems in the collection have appeared on national or international Olympiads or other contests. Thus, they are quite challenging (with solutions that are all the more rewarding). The solutions use straightforward arguments from elementary mathematics (often not very technical arguments) with only the occasional foray into sophisticated or advanced ideas. Anyone familiar with elementary mathematics can appreciate a large part of the book. The problems included in this collection are taken from geometry, number theory, probability, and combinatorics. Solutions to the problems are included.

Author : Ross Honsberger
Publisher : Unknown
Page : 257 pages
File Size : 47,9 Mb
Release : 1991
Category : Mathematics
ISBN : 0883853000

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From Erdos to Kiev ; Problems to Olympiad Caliber by Ross Honsberger Pdf

Author : Ross Honsberger
Publisher : Unknown
Page : 257 pages
File Size : 51,8 Mb
Release : 1996
Category : Mathematics
ISBN : 0883853000

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From Erdös to Kiev by Ross Honsberger Pdf

"Most of the problems in the collection have appeared on national or international Olympiads or other contests ... The problems included in this collection are taken from geometry, number theory, probability, and combinatorics."--Page 4 of cover.

Author : Anthony Gardiner
Publisher : Oxford Science Publications
Page : 252 pages
File Size : 42,9 Mb
Release : 1997
Category : Juvenile Nonfiction
ISBN : 0198501056

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The Mathematical Olympiad Handbook by Anthony Gardiner Pdf

Olympiad problems help able school students flex their mathematical muscles. Good Olympiad problems are unpredictable: this makes them worthwhile but it also makes them seem hard and even unapproachable. The Mathematical Olympiad Handbook contains some of the problems and solutions from the British Mathematical Olympiads from 1965 to 1996 in a form designed to help bright students overcome this barrier.

Author : Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović
Publisher : Springer Science & Business Media
Page : 819 pages
File Size : 44,9 Mb
Release : 2011-05-05
Category : Mathematics
ISBN : 9781441998545

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The IMO Compendium by Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović Pdf

"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.

Author : Keith Kendig
Publisher : MAA
Page : 400 pages
File Size : 46,6 Mb
Release : 2008
Category : Education
ISBN : 0883853396

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Sink Or Float by Keith Kendig Pdf

A collection of over 250 multiple-choice problems to challenge and delight everyone from school students to professional mathematicians.

Author : Michael Th. Rassias
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 44,8 Mb
Release : 2010-11-16
Category : Mathematics
ISBN : 9781441904959

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Problem-Solving and Selected Topics in Number Theory by Michael Th. Rassias Pdf

The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).

Author : Jiri Herman,Radan Kucera,Jaromir Simsa
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 40,8 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475739251

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Counting and Configurations by Jiri Herman,Radan Kucera,Jaromir Simsa Pdf

This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.

Author : Joseph D. E. Konhauser,Dan Velleman,Stan Wagon
Publisher : American Mathematical Soc.
Page : 235 pages
File Size : 55,6 Mb
Release : 1996-12-31
Category : Education
ISBN : 9781470463823

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Which Way Did the Bicycle Go?: And Other Intriguing Mathematical Mysteries by Joseph D. E. Konhauser,Dan Velleman,Stan Wagon Pdf

MAA Press: An Imprint of the American Mathematical Society This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45-degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product 1⋅2⋅3⋯1,000,000 1⋅2⋅3⋯1,000,000? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation.

Author : Jiri Herman,Radan Kucera,Jaromir Simsa
Publisher : Springer Science & Business Media
Page : 353 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461212706

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Equations and Inequalities by Jiri Herman,Radan Kucera,Jaromir Simsa Pdf

A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.

Author : Alfred S. Posamentier,Daniel Jaye
Publisher : ASCD
Page : 242 pages
File Size : 50,5 Mb
Release : 2007-03-15
Category : Education
ISBN : 9781416605966

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Exemplary Practices for Secondary Math Teachers by Alfred S. Posamentier,Daniel Jaye Pdf

Every year new secondary mathematics teachers take up positions in middle and high schools. The luckiest novices receive assistance from a coach or mentor: a master mathematics teacher who makes constructive comments, models effective approaches, and illuminates other practical aspects of teaching secondary math. But many new teachers don't have this advantage and must further their development on their own. If you are one of these teachers, this is the book you need. In these pages, veteran mathematics educators Alfred S. Posamentier, Daniel Jaye, and Stephen Krulik present a treasure chest of ideas to guide new secondary math teachers through the challenging first few months and also provide more experienced teachers with interesting alternatives to familiar methods. The topics covered include * The most effective instructional practices * The best uses of the textbook * Designing successful lessons * Creating homework that promotes learning * Incorporating challenge * Teaching reasoning and problem solving * Strategies for assessment and grading * Specific innovative ideas for teaching key concepts * Options for extracurricular activities * Long-term professional enrichment and growth. It's during the first few years of a teacher's experience that he or she develops the habits, methods, procedures, and techniques that tend to define a career. Exemplary Practices for Secondary Math Teachers provides both a foundation for excellence and a touchstone for years to come. Note: This product listing is for the Adobe Acrobat (PDF) version of the book.

Author : Sharad S. Sane
Publisher : Springer
Page : 477 pages
File Size : 54,6 Mb
Release : 2013-01-15
Category : Mathematics
ISBN : 9789386279552

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Combinatorial techniques by Sharad S. Sane Pdf

This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. The book has several distinctive features. Probability and random variables with their interconnections to permutations are discussed. The theme of parity has been specially included and it covers applications ranging from solving the Nim game to the quadratic reciprocity law. Chapters related to geometry include triangulations and Sperner's theorem, classification of regular polytopes, tilings and an introduction to the Eulcidean Ramsey theory. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups. All chapters have a large number of exercises with varying degrees of difficulty, ranging from material suitable for Mathematical Olympiads to research.

Author : Alfred S Posamentier,Beverly Smith
Publisher : World Scientific
Page : 1042 pages
File Size : 45,7 Mb
Release : 2020-09-18
Category : Mathematics
ISBN : 9789811211430

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Teaching Secondary School Mathematics: Techniques And Enrichment by Alfred S Posamentier,Beverly Smith Pdf

The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.

Author : V. Seleacu
Publisher : Infinite Study
Page : 154 pages
File Size : 51,7 Mb
Release : 2024-07-04
Category : Electronic
ISBN : 8210379456XXX

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Smarandache Function Journal, vol. 7/1996 by V. Seleacu Pdf

A collection of papers concerning Smarandache type functions, numbers, sequences, inteqer algorithms, paradoxes, experimental geometries, algebraic structures, neutrosophic probability, set, and logic, etc.