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Concepts in Competitive Mathematics

Concepts in Competitive Mathematics PDF Author: Zachary M. Boazman
Publisher: Zachary Boazman
ISBN:
Category : Mathematics
Languages : en
Pages : 96

Book Description
This short reference book contains fundamental concepts crucial to solving math competition problems such as those found on the Mathematical Association of America's AMC 10, AMC 12, and AIME, as well as those found in local or regional competitions. Full of formulas as well as examples and solutions, this book shows how specific problems can be best solved in order to succeed in math competitions. Content is organized by mathematical topic and has been selected for its diversity. Topics include Number Theory, Combinatorics, Probability, Statistics, Sequences and Series, Algebra, Geometry, Trigonometry, and Coordinate Mathematics. The book even contains a section containing the author's own tips from past experience in math competitions. All in all, this is a must buy for math competition participants and teachers alike. Contains: Nine Chapters, Table of Contents, Index.

Concepts in Competitive Mathematics

Concepts in Competitive Mathematics PDF Author: Zachary M. Boazman
Publisher: Zachary Boazman
ISBN:
Category : Mathematics
Languages : en
Pages : 96

Book Description
This short reference book contains fundamental concepts crucial to solving math competition problems such as those found on the Mathematical Association of America's AMC 10, AMC 12, and AIME, as well as those found in local or regional competitions. Full of formulas as well as examples and solutions, this book shows how specific problems can be best solved in order to succeed in math competitions. Content is organized by mathematical topic and has been selected for its diversity. Topics include Number Theory, Combinatorics, Probability, Statistics, Sequences and Series, Algebra, Geometry, Trigonometry, and Coordinate Mathematics. The book even contains a section containing the author's own tips from past experience in math competitions. All in all, this is a must buy for math competition participants and teachers alike. Contains: Nine Chapters, Table of Contents, Index.

Concepts in Competitive Mathematics, Second Edition

Concepts in Competitive Mathematics, Second Edition PDF Author: Zachary M. Boazman
Publisher: CreateSpace
ISBN: 9781500837266
Category : Mathematics
Languages : en
Pages : 104

Book Description
This short reference book contains fundamental concepts crucial to solving math competition problems such as those found on the Mathematical Association of America's AMC 10, AMC 12, and AIME, as well as those found in local or regional competitions. Full of formulas as well as examples and solutions, this book shows how specific problems can be best solved in order to succeed in math competitions. Content is organized by mathematical topic and has been selected for its diversity. Topics include Number Theory, Combinatorics, Probability, Statistics, Sequences and Series, Algebra, Geometry, Trigonometry, and Coordinate Mathematics. The book even contains a section containing the author's own tips from past experience in math competitions. All in all, this is a must buy for math competition participants and teachers alike. Contains: Nine Chapters, Table of Contents, Bibliography, Index. What's new in the second edition? Larger figures Improved formatting More exmples New contests cited Updated information Bibliography Corrected errors And more!

Practice Observation and Logic

Practice Observation and Logic PDF Author: Cleo Borac
Publisher:
ISBN: 9780692245651
Category :
Languages : en
Pages : 68

Book Description
2nd Edition - 2014 About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 1 This level of the series is designed for students who know addition and subtraction with multi-digit numbers as well as simple multiplications of one-digit numbers. Some of the problems, however, involve advanced concepts and may be useful for older students. About Volume 2 - Observation and Logic The problems in this volume are based on contrast, surprise elements, and lateral thinking. They encourage students to give themselves more freedom in exploring the universe of each problem statement. Creative thinking is rewarded, but repetitive thinking is not. Advanced mathematical concepts are introduced in simplified forms. This book includes patterning and an elementary treatment of rates.

Concepts and Problems for Mathematical Competitors

Concepts and Problems for Mathematical Competitors PDF Author: Alexander Sarana
Publisher: Courier Dover Publications
ISBN: 0486842533
Category : Mathematics
Languages : en
Pages : 430

Book Description
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.

Competitive Mathematics for Gifted Students - Level 1 Combo

Competitive Mathematics for Gifted Students - Level 1 Combo PDF Author: Cleo Borac
Publisher:
ISBN: 9780692240076
Category :
Languages : en
Pages : 294

Book Description
This is a combo volume that incorporates all four volumes for level 1. The interior of the 4 in 1 volume is always updated to contain the latest edition of the individual volumes. About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 1 This level of the series is designed for students who know addition and subtraction with multi-digit numbers as well as simple multiplications of one-digit numbers. Some of the problems, however, involve advanced concepts and may be useful for older students.

Concept-rich Mathematics Instruction

Concept-rich Mathematics Instruction PDF Author: Meir Ben-Hur
Publisher: ASCD
ISBN: 141660359X
Category : Education
Languages : en
Pages : 162

Book Description
Presents an instructional approach that helps students in every grade level understand math concepts so they can apply them on assessments, across the curriculum, and outside of school. Provides teaching practices and lesson ideas that give students a stronger foundation for reasoning and problem solving.

Practice Arithmetic

Practice Arithmetic PDF Author: Cleo Borac
Publisher:
ISBN: 9780615843247
Category :
Languages : en
Pages : 110

Book Description
This is the 1st edition. The 2nd edition of this book is out. Check out the 2nd edtion! About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 2 This level of the series is designed for students who know the multiplication tables, integer division with remainder and basic operations with decimals. Our level 1 books explain concepts that may need review before attempting level 2. Level 2 books are suitable for preparing Math Kangaroo 3-4 and MOEMS-E. Many of the concepts presented, however, reach much farther into the AMC-8 level. Level 2 consists of: Word Problems (volume 5), Operations (volume 6), Arithmetic (volume 7), and Combinatorics (volume 8). About Volume 7 - Arithmetic This volume provides material for the practicing problems with combinations of digits, cryptarithms, repdigits, palindromes, digit sum and digit product, sequences, sums of consecutive numbers, divisibility rules and remainders. Divisibility rules are not proven at this level, only applied (proofs in level 3 books). For some students, it may be necessary to work on our level 1 books before attempting level 2.

Competition Math for Middle School

Competition Math for Middle School PDF Author: Jason Batteron
Publisher:
ISBN: 9781934124208
Category :
Languages : en
Pages :

Book Description


Practice Combinatorics

Practice Combinatorics PDF Author: Cleo Borac
Publisher:
ISBN: 9780615868639
Category :
Languages : en
Pages : 106

Book Description
Buy the second edition! The second edition is out! This is the first edition - it comes first in searches because it has sold a lot. The second edition is new and shows up farther down the list. Please look for the second edition! The interior has been revised and updated. About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 2 This level of the series is designed for students who know the multiplication tables, integer division with remainder and basic operations with decimals. Our level 1 books explain concepts that may need review before attempting level 2. Level 2 books are suitable for preparing Math Kangaroo 3-4 and MOEMS-E. Many of the concepts presented, however, reach much farther into the AMC-8 level. Level 2 consists of: Word Problems (volume 5), Operations (volume 6), Arithmetic (volume 7), and Combinatorics (volume 8). About Volume 8 - Combinatorics We continue the study of counting from the level 1 books. We start introducing sets. The study of sets will continue over the next levels, each time introducing more concepts. We continue with a thorough practice of the last digit of a product or sum and we introduce applications of the Pigeonhole principle. Next, we introduce the notion of a factorial and apply it to arrangements. We conclude with a section on dominoes and square tables. This book is rich in strategies and variety.

Concrete Mathematics

Concrete Mathematics PDF Author: Ronald L. Graham
Publisher: Addison-Wesley Professional
ISBN: 0134389980
Category : Computers
Languages : en
Pages : 811

Book Description
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.