Portal Through Mathematics Journey To Advanced Thinking

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Portal Through Mathematics Journey To Advanced Thinking

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Author : O. A. Ivanov
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-10-09

Portal Through Mathematics Journey To Advanced Thinking written by O. A. Ivanov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-09 with Education categories.

Portal through Mathematics is a collection of puzzles and problems mostly on topics relating to secondary mathematics. The problems and topics are fresh and interesting and frequently surprising. One example: the puzzle that asks how much length must be added to a belt around the Earth's equator to raise it one foot has probably achieved old chestnut status. Ivanov, after explaining the surprising answer to this question, goes a step further and asks, if you grabbed that too long belt at some point and raised it as high as possible, how high would that be? The answer to that is more surprising than the classic puzzle's answer. The book is organized into 29 themes, each a topic from algebra, geometry or calculus and each launched from an opening puzzle or problem. There are excursions into number theory, solid geometry, physics and combinatorics. Always there is an emphasis on surprise and delight. And every theme begins at a level approachable with minimal background requirements. With well over 250 puzzles and problems, there is something here sure to appeal to everyone. Portal through Mathematics will be useful for prospective secondary teachers of mathematics and may be used (as a supplementary resource) in university courses in algebra, geometry, calculus, and discrete mathematics. It can also be used for professional development for teachers looking for inspiration. However, the intended audience is much broader. Every fan of mathematics will find enjoyment in it.

Portal Through Mathematics

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Author : Oleg Aleksandrovič Ivanov
language : en
Publisher:
Release Date : 2017

Portal Through Mathematics written by Oleg Aleksandrovič Ivanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.

Portal Through Mathematics

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Author : O. A. Ivanov
language : en
Publisher:
Release Date : 2017

Portal Through Mathematics written by O. A. Ivanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.

Portal through Mathematics is a collection of puzzles and problems mostly on topics relating to secondary mathematics. The problems and topics are fresh and interesting and frequently surprising. One example: the puzzle that asks how much length must be added to a belt around the Earth's equator to raise it one foot has probably achieved old chestnut status. Ivanov, after explaining the surprising answer to this question, goes a step further and asks, if you grabbed that too long belt at some point and raised it as high as possible, how high would that be? The answer to that is more surprising.

Portal Through Mathematics

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Author : Oleg Ivanov
language : en
Publisher: The Mathematical Association of America
Release Date : 2017

Portal Through Mathematics written by Oleg Ivanov and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.

A Portal Through Mathematics is a collection of puzzles and problems mostly on topics relating to secondary mathematics. The problems and topics are fresh and interesting and frequently surprising. One example: the puzzle that asks how much length must be added to a belt around the Earth's equator to raise it one foot has probably achieved old chestnut status. Ivanov, after explaining the surprising answer to this question, goes a step further and asks, if you grabbed that too long belt at some point and raised it as high as possible, how high would that be? The answer to that is more surprising than the classic puzzle's answer. The book is organized into 29 themes, each a topic from algebra, geometry or calculus and each launched from an opening puzzle or problem. There are excursions into number theory, solid geometry, physics and combinatorics. Always there is an emphasis on surprise and delight. And every theme begins at a level approachable with minimal background requirements. With well over 250 puzzles and problems, there is something here sure to appeal to everyone. A Portal Through Mathematics will be useful for prospective secondary teachers of mathematics and may be used (as a supplementary resource) in university courses in algebra, geometry, calculus, and discrete mathematics. It can also be used for professional development for teachers looking for inspiration. However, the intended audience is much broader. Every fan of mathematics will find enjoyment in it.

Exercises In Mathematical Style

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Author : John McCleary
language : en
Publisher: The Mathematical Association of America
Release Date : 2017-05-17

Exercises In Mathematical Style written by John McCleary and has been published by The Mathematical Association of America this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-17 with Mathematics categories.

Hover over the image to zoom. Click the image for a popup.Email a Friend About This ItemLogin to Submit a Review inShare John McCleary In Exercises in (Mathematical) Style, the author investigates the world of that familiar set of numbers, the binomial coefficients. While the reader learns some of the properties, relations, and generalizations of the numbers of Pascal's triangle, each story explores a different mode of discourse - from arguing algebraically, combinatorially, geometrically, or by induction, contradiction, or recursion to discovering mathematical facts in poems, music, letters, and various styles of stories. The author follows the example of Raymond Queneau's Exercises in Style, giving the reader 99 stories in various styles. The ubiquitous nature of binomial coefficients leads the tour through combinatorics, number theory, algebra, analysis, and even topology. The book celebrates the joy of writing and the joy of mathematics, found by engaging the rich properties of this simple set of numbers.

Invitation To Number Theory

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Author : Oystein Ore
language : en
Publisher: American Mathematical Society
Release Date : 2018-08-15

Invitation To Number Theory written by Oystein Ore and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-15 with Mathematics categories.

Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, … and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more. In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.

Structure And Insight

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Author : Pierre M. van Hiele
language : en
Publisher:
Release Date : 1986

Structure And Insight written by Pierre M. van Hiele and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Education categories.

Popular Mechanics

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Author :
language : en
Publisher:
Release Date : 2000-01

Popular Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01 with categories.

Popular Mechanics inspires, instructs and influences readers to help them master the modern world. Whether it’s practical DIY home-improvement tips, gadgets and digital technology, information on the newest cars or the latest breakthroughs in science -- PM is the ultimate guide to our high-tech lifestyle.

Mathematizing

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Author : Allen C. Rosales
language : en
Publisher: Redleaf Press
Release Date : 2015-07-20

Mathematizing written by Allen C. Rosales and has been published by Redleaf Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-20 with Education categories.

This proven, accessible approach to a curriculum presents a learner-centered approach to math education. Mathematizing provides both the emergent curriculum and professional development frameworks to help young children learn math throughout their everyday routine and to facilitate teachers' understanding of how to see and support children's math learning at every turn. With this book and its plentitude of case studies, illustrations, photographs, and documentation, the mathematizing adult can interpret children's interests and use that knowledge as a catalyst for creating meaningful and purposeful mathematical lessons and interactions.

Philosophical Papers And Letters

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Author : G.W. Leibniz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Philosophical Papers And Letters written by G.W. Leibniz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with History categories.

The selections contained in these volumes from the papers and letters of Leibniz are intended to serve the student in two ways: first, by providing a more adequate and balanced conception of the full range and penetration of Leibniz's creative intellectual powers; second, by inviting a fresher approach to his intellectual growth and a clearer perception of the internal strains in his thinking, through a chronological arrangement. Much confusion has arisen in the past through a neglect of the develop ment of Leibniz's ideas, and Couturat's impressive plea, in his edition of the Opuscu/es et fragments (p. xii), for such an arrangement is valid even for incomplete editions. The beginning student will do well, however, to read the maturer writings of Parts II, III, and IV first, leaving Part I, from a period too largely neglected by Leibniz criticism, for a later study of the still obscure sources and motives of his thought. The Introduction aims primarily to provide cultural orientation and an exposition of the structure and the underlying assumptions of the philosophical system rather than a critical evaluation. I hope that together with the notes and the Index, it will provide those aids to the understanding which the originality of Leibniz's scientific, ethical, and metaphysical efforts deserve.