Mathematical Surprises

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Mathematical Surprises

Author : Mordechai Ben-Ari
Publisher : Springer Nature
ISBN 13 : 3031135660
Total Pages : 232 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematical Surprises by : Mordechai Ben-Ari

Download or read book Mathematical Surprises written by Mordechai Ben-Ari and published by Springer Nature. This book was released on 2022-09-07 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is open access book provides plenty of pleasant mathematical surprises. There are many fascinating results that do not appear in textbooks although they are accessible with a good knowledge of secondary-school mathematics. This book presents a selection of these topics including the mathematical formalization of origami, construction with straightedge and compass (and other instruments), the five- and six-color theorems, a taste of Ramsey theory and little-known theorems proved by induction. Among the most surprising theorems are the Mohr-Mascheroni theorem that a compass alone can perform all the classical constructions with straightedge and compass, and Steiner's theorem that a straightedge alone is sufficient provided that a single circle is given. The highlight of the book is a detailed presentation of Gauss's purely algebraic proof that a regular heptadecagon (a regular polygon with seventeen sides) can be constructed with straightedge and compass. Although the mathematics used in the book is elementary (Euclidean and analytic geometry, algebra, trigonometry), students in secondary schools and colleges, teachers, and other interested readers will relish the opportunity to confront the challenge of understanding these surprising theorems.

One Equals Zero, and Other Mathematical Surprises

Author : Nitsa Movshovitz-Hadar
Publisher : Lawrence Erlbaum Associates
ISBN 13 : 9780873537407
Total Pages : 168 pages
Book Rating : 4.5/5 (374 download)

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Book Synopsis One Equals Zero, and Other Mathematical Surprises by : Nitsa Movshovitz-Hadar

Download or read book One Equals Zero, and Other Mathematical Surprises written by Nitsa Movshovitz-Hadar and published by Lawrence Erlbaum Associates. This book was released on 2013 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Originally published by Key Curriculum Press"--t.p.

Mathematical Amazements and Surprises

Author : Alfred S. Posamentier
Publisher : Prometheus Books
ISBN 13 : 1615922946
Total Pages : 269 pages
Book Rating : 4.6/5 (159 download)

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Book Synopsis Mathematical Amazements and Surprises by : Alfred S. Posamentier

Download or read book Mathematical Amazements and Surprises written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2010-03-19 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: With many entertaining examples of mathematical curiosities, educators Posamentier and Lehmann have created the perfect introduction to the wonders of mathematics for the general reader, requiring only a high school background in the subject.

Yearning for the Impossible

Author : John Stillwell
Publisher : CRC Press
ISBN 13 : 1439865779
Total Pages : 249 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Yearning for the Impossible by : John Stillwell

Download or read book Yearning for the Impossible written by John Stillwell and published by CRC Press. This book was released on 2006-05-23 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress: - Irrational and Imaginary Numbers - The Fourth Dimension - Curved Space - Infinity and others The author puts t

Mathematical Omnibus

Author : D. B. Fuks
Publisher : American Mathematical Soc.
ISBN 13 : 0821843168
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Omnibus by : D. B. Fuks

Download or read book Mathematical Omnibus written by D. B. Fuks and published by American Mathematical Soc.. This book was released on 2007 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of thirty lectures on diverse topics, covering much of the mathematical landscape rather than focusing on one area. The reader will learn numerous results that often belong to neither the standard undergraduate nor graduate curriculum and will discover connections between classical and contemporary ideas in algebra, combinatorics, geometry, and topology. The reader's effort will be rewarded in seeing the harmony of each subject. The common thread in the selected subjects is their illustration of the unity and beauty of mathematics. Most lectures contain exercises, and solutions or answers are given to selected exercises. A special feature of the book is an abundance of drawings (more than four hundred), artwork by an accomplished artist, and about a hundred portraits of mathematicians. Almost every lecture contains surprises for even the seasoned researcher.

Writing Math Research Papers - 5th Ed.

Author : Robert Gerver
Publisher : IAP
ISBN 13 : 1641131128
Total Pages : 295 pages
Book Rating : 4.6/5 (411 download)

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Book Synopsis Writing Math Research Papers - 5th Ed. by : Robert Gerver

Download or read book Writing Math Research Papers - 5th Ed. written by Robert Gerver and published by IAP. This book was released on 2017-12-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their motivation and desire takes them. The features and benefits of the research paper process offer a natural alignment with all eight Common Core State Standards for Mathematical Practice. Writing Math Research Papers serves both as a text for students and as a resource for instructors and administrators. The Writing Math Research Papers program started at North Shore High School in 1991, and it received the 1997 Chevron Best Practices in Education Award as the premier high school math course in the United States. Author Robert Gerver’s articles on high school mathematics research programs were featured in the National Council of Teachers of Mathematics publication Developing Mathematically Promising Students, the NCTM’s 1999 Yearbook, Developing Mathematical Reasoning in Grades K – 12, and in the September 2017 issue of the Mathematics Teacher.

How Not to Be Wrong

Author : Jordan Ellenberg
Publisher : Penguin Press
ISBN 13 : 1594205221
Total Pages : 480 pages
Book Rating : 4.5/5 (942 download)

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Book Synopsis How Not to Be Wrong by : Jordan Ellenberg

Download or read book How Not to Be Wrong written by Jordan Ellenberg and published by Penguin Press. This book was released on 2014-05-29 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant tour of mathematical thought and a guide to becoming a better thinker, How Not to Be Wrong shows that math is not just a long list of rules to be learned and carried out by rote. Math touches everything we do; It's what makes the world make sense. Using the mathematician's methods and hard-won insights-minus the jargon-professor and popular columnist Jordan Ellenberg guides general readers through his ideas with rigor and lively irreverence, infusing everything from election results to baseball to the existence of God and the psychology of slime molds with a heightened sense of clarity and wonder. Armed with the tools of mathematics, we can see the hidden structures beneath the messy and chaotic surface of our daily lives. How Not to Be Wrong shows us how--Publisher's description.

Mathematics Rebooted

Author : Lara Alcock
Publisher : Oxford University Press
ISBN 13 : 019252593X
Total Pages : 253 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Mathematics Rebooted by : Lara Alcock

Download or read book Mathematics Rebooted written by Lara Alcock and published by Oxford University Press. This book was released on 2017-09-29 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Would you like to understand more mathematics? Many people would. Perhaps at school you liked mathematics for a while but were then put off because you missed a key idea and kept getting stuck. Perhaps you always liked mathematics but gave it up because your main interest was music or languages or science or philosophy. Or perhaps you studied mathematics to advanced levels, but have now forgotten most of what you once knew. Whichever is the case, this book is for you. It aims to build on what you know, revisiting basic ideas with a focus on meaning. Each chapter starts with an idea from school mathematics - often primary school mathematics - and gradually builds up a network of links to more advanced material. It explores fundamental ideas in depth, using insights from research in mathematics education and psychology to explain why people often get confused, and how to overcome that confusion. For nervous readers, it will build confidence by clarifying basic ideas. For more experienced readers, it will highlight new connections to more advanced material. Throughout, the book explains how mathematicians think, and how ordinary people can understand and enjoy mathematical ideas and arguments. If you would like to be better informed about the intrinsic elegance of mathematics, this engaging guide is the place to start.

Your Business Math Series

Author : Sonya Shafer
Publisher :
ISBN 13 : 9781616340360
Total Pages : 176 pages
Book Rating : 4.3/5 (43 download)

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Book Synopsis Your Business Math Series by : Sonya Shafer

Download or read book Your Business Math Series written by Sonya Shafer and published by . This book was released on 2007-07 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Tower of Hanoi – Myths and Maths

Author : Andreas M. Hinz
Publisher : Birkhäuser
ISBN 13 : 3319737791
Total Pages : 469 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Tower of Hanoi – Myths and Maths by : Andreas M. Hinz

Download or read book The Tower of Hanoi – Myths and Maths written by Andreas M. Hinz and published by Birkhäuser. This book was released on 2018-04-17 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The solitaire game “The Tower of Hanoi" was invented in the 19th century by the French number theorist Édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. In addition to long-standing myths, it provides a detailed overview of the essential mathematical facts with complete proofs, and also includes unpublished material, e.g., on some captivating integer sequences. The main objects of research today are the so-called Hanoi graphs and the related Sierpiński graphs. Acknowledging the great popularity of the topic in computer science, algorithms, together with their correctness proofs, form an essential part of the book. In view of the most important practical applications, namely in physics, network theory and cognitive (neuro)psychology, the book also addresses other structures related to the Tower of Hanoi and its variants. The updated second edition includes, for the first time in English, the breakthrough reached with the solution of the “The Reve's Puzzle" in 2014. This is a special case of the famed Frame-Stewart conjecture which is still open after more than 75 years. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exercises as well as problems for further exploration, this book is enjoyable reading for students, educators, game enthusiasts and researchers alike. Excerpts from reviews of the first edition: “The book is an unusual, but very welcome, form of mathematical writing: recreational mathematics taken seriously and serious mathematics treated historically. I don’t hesitate to recommend this book to students, professional research mathematicians, teachers, and to readers of popular mathematics who enjoy more technical expository detail.” Chris Sangwin, The Mathematical Intelligencer 37(4) (2015) 87f. “The book demonstrates that the Tower of Hanoi has a very rich mathematical structure, and as soon as we tweak the parameters we surprisingly quickly find ourselves in the realm of open problems.” László Kozma, ACM SIGACT News 45(3) (2014) 34ff. “Each time I open the book I discover a renewed interest in the Tower of Hanoi. I am sure that this will be the case for all readers.” Jean-Paul Allouche, Newsletter of the European Mathematical Society 93 (2014) 56.

Mathematics Entertainment For The Millions

Author : Alfred S Posamentier
Publisher : World Scientific
ISBN 13 : 9811219303
Total Pages : 304 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematics Entertainment For The Millions by : Alfred S Posamentier

Download or read book Mathematics Entertainment For The Millions written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-07-21 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The physical form of this new title is pleasing, including good paper, readable font, and durable binding … The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics — to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics — something most general readers will not initially find possible, but we hope will be an end product of this book.

Getting the Buggers to Add Up 2nd Edition

Author : Mike Ollerton
Publisher : A&C Black
ISBN 13 : 9780826489142
Total Pages : 268 pages
Book Rating : 4.4/5 (891 download)

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Book Synopsis Getting the Buggers to Add Up 2nd Edition by : Mike Ollerton

Download or read book Getting the Buggers to Add Up 2nd Edition written by Mike Ollerton and published by A&C Black. This book was released on 2006-06-03 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equips teachers with a number of strategies for improving pupils' mathematics and problem-solving skills in the classroom. This book attempts to show how active learning, equipment-based and surprise perspectives can bring mathematics alive. Offering tips and advice on various aspects of teaching mathematics, it is of interest to maths teachers.

The Best Writing on Mathematics 2014

Author : Mircea Pitici
Publisher : Princeton University Press
ISBN 13 : 0691164177
Total Pages : 360 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Best Writing on Mathematics 2014 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2014 written by Mircea Pitici and published by Princeton University Press. This book was released on 2015 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.

The Elements of Cantor Sets

Author : Robert W. Vallin
Publisher : John Wiley & Sons
ISBN 13 : 1118407431
Total Pages : 168 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis The Elements of Cantor Sets by : Robert W. Vallin

Download or read book The Elements of Cantor Sets written by Robert W. Vallin and published by John Wiley & Sons. This book was released on 2013-07-29 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra. The author fills a gap in the current literature by providing an introductory and integrated perspective, thereby preparing readers for further study and building a deeper understanding of analysis, topology, set theory, number theory, and algebra. The Elements of Cantor Sets provides coverage of: Basic definitions and background theorems as well as comprehensive mathematical details A biography of Georg Ferdinand Ludwig Philipp Cantor, one of the most significant mathematicians of the last century Chapter coverage of fractals and self-similar sets, sums of Cantor Sets, the role of Cantor Sets in creating pathological functions, p-adic numbers, and several generalizations of Cantor Sets A wide spectrum of topics from measure theory to the Monty Hall Problem An ideal text for courses in real analysis, topology, algebra, and set theory for undergraduate and graduate-level courses within mathematics, computer science, engineering, and physics departments, The Elements of Cantor Sets is also appropriate as a useful reference for researchers and secondary mathematics education majors.

Mathematical Adventures for Students and Amateurs

Author : David F. Hayes
Publisher : American Mathematical Soc.
ISBN 13 : 1470457415
Total Pages : 291 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Adventures for Students and Amateurs by : David F. Hayes

Download or read book Mathematical Adventures for Students and Amateurs written by David F. Hayes and published by American Mathematical Soc.. This book was released on 2020-08-03 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Problem Solving in the Mathematics Classroom

Author : Ana Kuzle
Publisher : WTM-Verlag Münster
ISBN 13 : 3959870086
Total Pages : 238 pages
Book Rating : 4.9/5 (598 download)

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Book Synopsis Problem Solving in the Mathematics Classroom by : Ana Kuzle

Download or read book Problem Solving in the Mathematics Classroom written by Ana Kuzle and published by WTM-Verlag Münster. This book was released on 2016-06-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem solving is a cornerstone of the school mathematics curricula in many countries, as it is an essential part of mathematical knowledge and performance. Implementation of problem solving in school mathematics is also important for meeting society’s needs with respect to work, school, and life – as well as for stimulating the interest and enthusiasm of students. Countries such as Finland, Germany, Hungary, and Slovenia have a long tradition of problem solving in school mathematics. Each country has faced its own specific challenges when adopting problem solving as a constituent part of school mathematics. But through this process they have gained experience and discovered chances for integrating problem solving into mathematics lessons. The heart of achieving this mission lies in choosing good mathematical problems. Good mathematical problems are those that are not too difficult and not too easy, are interesting, challenging, and mathematically rich. They should invite students to conjecture and to explore different strategies, support extending their existing knowledge, and allow for problem extension. In this book, the reader will find such rich mathematical problems – targeting students at different school levels – that can help cultivate a problem solving culture. The book provides the coherence and direction from different perspectives that practitioners need when integrating problem solving into their teaching practices and using problem solving to teach mathematics. We believe, that the processes which accompany problem solving, contribute to both the development of students’ mathematical reasoning and to the development of their sense of autonomy.

Cases on Technology Integration in Mathematics Education

Author : Polly, Drew
Publisher : IGI Global
ISBN 13 : 1466664983
Total Pages : 551 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Cases on Technology Integration in Mathematics Education by : Polly, Drew

Download or read book Cases on Technology Integration in Mathematics Education written by Polly, Drew and published by IGI Global. This book was released on 2014-09-30 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Common Core education standards establish a clear set of specific ideas and skills that all students should be able comprehend at each grade level. In an effort to meet these standards, educators are turning to technology for improved learning outcomes. Cases on Technology and Common Core Mathematics provides a compilation of cases and vignettes about the application of technology in the classroom in order to enhance student understanding of math concepts. This book is a timely reference source for mathematics educators, educational technologists, and school district leaders employed in the mathematics education or educational technology fields.