Combinatorics

Combinatorics PDF Author: Nicholas Loehr
Publisher: CRC Press
ISBN: 149878027X
Category : Mathematics
Languages : en
Pages : 849

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Book Description
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.

Combinatorics

Combinatorics PDF Author: Nicholas Loehr
Publisher: CRC Press
ISBN: 149878027X
Category : Mathematics
Languages : en
Pages : 849

Get Book Here

Book Description
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.

New Abacus

New Abacus PDF Author: Ruth Merttens
Publisher: Ginn
ISBN: 9780602290061
Category : Juvenile Nonfiction
Languages : en
Pages : 68

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Book Description
This kit contains 16 each of "Number Textbook 1", "Number Textbook 2", and "Shape, Data and Measures Workbook" and 8 copies of "Homework Book".

Abacus

Abacus PDF Author: Ruth Merttens
Publisher: Ginn
ISBN: 9780602290962
Category : Juvenile Nonfiction
Languages : en
Pages : 82

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Book Description
These textbooks allow independent practice of mathematical skills. They present the concepts at an appropriate reading level. Activities with an investigative or process-skill focus encourage creative and mathematical thinking. Problem-solving is included.

Abacus 6 Textbook 2 Malta Euro Edition

Abacus 6 Textbook 2 Malta Euro Edition PDF Author: Pearson Education
Publisher: Ginn
ISBN: 9780602575434
Category :
Languages : en
Pages : 64

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Book Description


Investment Company Act Release

Investment Company Act Release PDF Author: United States. Securities and Exchange Commission
Publisher:
ISBN:
Category : Mutual funds
Languages : en
Pages : 1082

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Book Description


Teaching Mathematically Able Children

Teaching Mathematically Able Children PDF Author: Roy Kennard
Publisher: Routledge
ISBN: 1136631402
Category : Education
Languages : en
Pages : 101

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Book Description
This work aims to help primary and secondary teachers to recognize and teach mathematically able pupils. Roy Kennard reviews the characteristics of the very able pupils and shows how these characteristics are reflected in the National Curriculum for Mathematics. He goes on to show how: mathematically able children can be challenged through problem solving and interactive discussion; and the use of in-depth case studies and other examples of pupils' work makes it possible for teachers to see the consequences of the approaches discussed. This text also considers whole school organizational and leadership approaches and should be useful to school management teams or "gifted and talented coordinators." This revised and updated second edition should be of interest to teachers, advisers, lecturers and students with an interest in securing effective provision for mathematically able pupils.

Challenge Book

Challenge Book PDF Author: Ruth Merttens
Publisher: Ginn
ISBN: 0602290708
Category : Mathematics
Languages : en
Pages : 84

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Book Description
Aimed at pupils requiring further enrichment and extension, the challenge books develop able pupils' mathematical understanding within a unit. They use open-ended and problem solving activities, but require minimum teacher input and minimum use of additional materials.

Bijective Combinatorics

Bijective Combinatorics PDF Author: Nicholas Loehr
Publisher: CRC Press
ISBN: 1439848866
Category : Computers
Languages : en
Pages : 600

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Book Description
Bijective proofs are some of the most elegant and powerful techniques in all of mathematics. Suitable for readers without prior background in algebra or combinatorics, Bijective Combinatorics presents a general introduction to enumerative and algebraic combinatorics that emphasizes bijective methods.The text systematically develops the mathematical

New Abacus Year 7: Textbook

New Abacus Year 7: Textbook PDF Author: Ruth Merttens
Publisher: Ginn
ISBN: 9780602306670
Category : Juvenile Nonfiction
Languages : en
Pages : 134

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Book Description
'Explore' activities provide a wealth of open-ended activities, including many challenging investigations Carefully graded practice questions Detailed instructions enable children to work more independently with less teacher input.

Simmering Activities

Simmering Activities PDF Author: Ruth Merttens
Publisher: Ginn
ISBN: 9780602291235
Category : Education
Languages : en
Pages : 52

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Book Description
These fun mental maths activities, puzzles and questions provide on-going practice of key mathematical skills. This extra practice means children are constantly revisiting important mathematical skills. The activities require little or no preparation, are brief enough to be done in minutes.