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Author: Oleg Aleksandrovič Ivanov
Publisher:
ISBN: 9780883859902
Category :
Languages : en
Pages :
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Book Description
Author: Oleg Aleksandrovič Ivanov
Publisher:
ISBN: 9780883859902
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: O. A. Ivanov
Publisher: American Mathematical Soc.
ISBN: 1470448769
Category : Education
Languages : en
Pages : 304
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Book Description
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.
Author: John McCleary
Publisher: American Mathematical Soc.
ISBN: 1470447835
Category : Education
Languages : en
Pages : 275
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Book Description
What does style mean in mathematics? Style is both how one does something and how one communicates what was done. In this book, the author investigates the worlds of the well-known numbers, the binomial coefficients. The author follows the example of Raymond Queneau's Exercises in Style. Offering the reader 99 stories in various styles. The book celebrates the joy of mathematics and the joy of writing mathematics by exploring the rich properties of this familiar collection of numbers. For any one interested in mathematics, from high school students on up.
Author: Oystein Ore
Publisher: American Mathematical Soc.
ISBN: 0883856530
Category : Number theory
Languages : en
Pages : 134
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Book Description
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.
Author: Gerard Beggan
Publisher:
ISBN: 9780714406183
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: William Dunham
Publisher: Penguin Books
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 324
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Book Description
Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov
Author: Seymour A Papert
Publisher: Basic Books
ISBN: 154167510X
Category : Education
Languages : en
Pages : 256
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Book Description
In this revolutionary book, a renowned computer scientist explains the importance of teaching children the basics of computing and how it can prepare them to succeed in the ever-evolving tech world. Computers have completely changed the way we teach children. We have Mindstorms to thank for that. In this book, pioneering computer scientist Seymour Papert uses the invention of LOGO, the first child-friendly programming language, to make the case for the value of teaching children with computers. Papert argues that children are more than capable of mastering computers, and that teaching computational processes like de-bugging in the classroom can change the way we learn everything else. He also shows that schools saturated with technology can actually improve socialization and interaction among students and between students and teachers. Technology changes every day, but the basic ways that computers can help us learn remain. For thousands of teachers and parents who have sought creative ways to help children learn with computers, Mindstorms is their bible.
Author: Allen C. Rosales
Publisher: Redleaf Press
ISBN: 1605543969
Category : Education
Languages : en
Pages : 150
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Book Description
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.
Author: Ethan D. Bolker
Publisher: American Mathematical Soc.
ISBN: 147046134X
Category : Education
Languages : en
Pages : 342
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Book Description
Ten years from now, what do you want or expect your students to remember from your course? We realized that in ten years what matters will be how students approach a problem using the tools they carry with them—common sense and common knowledge—not the particular mathematics we chose for the curriculum. Using our text, students work regularly with real data in moderately complex everyday contexts, using mathematics as a tool and common sense as a guide. The focus is on problems suggested by the news of the day and topics that matter to students, like inflation, credit card debt, and loans. We use search engines, calculators, and spreadsheet programs as tools to reduce drudgery, explore patterns, and get information. Technology is an integral part of today's world—this text helps students use it thoughtfully and wisely. This second edition contains revised chapters and additional sections, updated examples and exercises, and complete rewrites of critical material based on feedback from students and teachers who have used this text. Our focus remains the same: to help students to think carefully—and critically—about numerical information in everyday contexts.
Author: Ron Larson
Publisher:
ISBN: 9781644325919
Category : Mathematics
Languages : en
Pages : 0
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Book Description
