Geometric Gems: An Appreciation For Geometric Curiosities - Volume I: The Wonders Of Triangles PDF Download
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Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9811279608
Category : Mathematics
Languages : en
Pages : 397
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Book Description
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.
Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9811279608
Category : Mathematics
Languages : en
Pages : 397
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Book Description
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.
Author: Boris Pritsker
Publisher: World Scientific
ISBN: 9811285292
Category : Mathematics
Languages : en
Pages : 188
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Book Description
The goal of the book is to provide insight into many enjoyable and fascinating aspects of geometry, and to reveal interesting geometrical properties. The emphasis is on the practical applications of theory in the problem-solving process. The chapters cover a myriad of topics among which are the classic theorems and formulas such as Archimedes' Law of the Lever, the Pythagorean Theorem, Heron's formula, Brahmagupta's formula, Appollonius's Theorem, Euler's line properties, the Nine-Point Circle, Fagnano's Problem, the Steiner-Lehmus Theorem, Napoleon's Theorem, Ceva's Theorem, Menelaus's Theorem, Pompeiu's Theorem, and Morley's Miracle. The book focuses on geometric thinking — what it means, how to develop it, and how to recognize it. 'Geometrical Kaleidoscope' consists of a kaleidoscope of topics that seem to not be related at first glance. However, that perception disappears as you go from chapter to chapter and explore the multitude of surprising relationships, unexpected connections, and links. Readers solving a chain of problems will learn from them general techniques, rather than isolated instances of the application of a technique. In spite of the many problems' challenging character, their solutions require no more than a basic knowledge covered in a high school geometry curriculum. There are plenty of problems for readers to work out for themselves (solutions are provided at the end of the book).In the 2nd edition of the book there are many new ideas and additional explanations that help the reader better understand the solutions of problems and connect the chapters to one another. A new chapter 'Alternative proofs of the Pythagorean Theorem' is added. It covers seven different proofs of the famous theorem and discusses its generalizations and applications. There is also Appendix and Index added, which were missing in the first edition of the book.
Author: Robert Geretschlager
Publisher: World Scientific
ISBN: 9811279306
Category : Mathematics
Languages : en
Pages : 343
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Book Description
Engaging Young Students in Mathematics through Competitions presents a wide range of topics relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment. Following the earlier two volumes, contributors explore a wide variety of fascinating problems of the type often presented at mathematics competitions. In this new third volume, many chapters are directly related to the challenges involved in organizing competitions under Covid-19, including many positive aspects resulting from the transition to online formats. There are also sections devoted to background information on connections between the mathematics of competitions and their organization, as well as the competitions' interplay with research, teaching and more.The various chapters are written by an international group of authors involved in problem development, many of whom were participants of the 9th Congress of the World Federation of National Mathematics Competitions in Bulgaria in 2022. Together, they provide a deep sense of the issues involved in creating such problems for competition mathematics and recreational mathematics.
Author: Alfred S Posamentier
Publisher:
ISBN: 9789811294761
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Marina Belozerskaya
Publisher: Getty Publications
ISBN: 0892367857
Category : Art
Languages : en
Pages : 292
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Book Description
Today we associate the Renaissance with painting, sculpture, and architecture—the “major” arts. Yet contemporaries often held the “minor” arts—gem-studded goldwork, richly embellished armor, splendid tapestries and embroideries, music, and ephemeral multi-media spectacles—in much higher esteem. Isabella d’Este, Marchesa of Mantua, was typical of the Italian nobility: she bequeathed to her children precious stone vases mounted in gold, engraved gems, ivories, and antique bronzes and marbles; her favorite ladies-in-waiting, by contrast, received mere paintings. Renaissance patrons and observers extolled finely wrought luxury artifacts for their exquisite craftsmanship and the symbolic capital of their components; paintings and sculptures in modest materials, although discussed by some literati, were of lesser consequence. This book endeavors to return to the mainstream material long marginalized as a result of historical and ideological biases of the intervening centuries. The author analyzes how luxury arts went from being lofty markers of ascendancy and discernment in the Renaissance to being dismissed as “decorative” or “minor” arts—extravagant trinkets of the rich unworthy of the status of Art. Then, by re-examining the objects themselves and their uses in their day, she shows how sumptuous creations constructed the world and taste of Renaissance women and men.
Author: Alfred S. Posamentier
Publisher: Prometheus Books
ISBN: 1633882977
Category : Mathematics
Languages : en
Pages : 322
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Book Description
Arithmetic novelties -- Algebraic explanations of accepted concepts -- Geometric curiosities -- Probability applied to everyday experiences -- Common sense from a mathematical perspective
Author: Alfred S Posamentier
Publisher:
ISBN: 9789811292293
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on at school. The quadrilateral, one of the basic instruments in geometry, has a plethora of unexpected curiosities. The authors present these in an easily understood fashion, requiring nothing more than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating quadrilateral properties.
Author: Mario Livio
Publisher: Simon and Schuster
ISBN: 0743274628
Category : Mathematics
Languages : en
Pages : 367
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Book Description
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
Author: Mark Wilson
Publisher: Oxford University Press
ISBN: 0199532303
Category : Health & Fitness
Languages : en
Pages : 691
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Book Description
Mark Wilson investigates the way we get to grips with the world conceptually, and the way that philosophical problems commonly arise from this. He combines traditional philosophical concerns about human conceptual thinking with illuminating data derived from physics and applied mathematics, cognitive psychology, and linguistics.
Author: Lloyd Motz
Publisher: Springer
ISBN: 1489963057
Category : Science
Languages : en
Pages : 422
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Book Description
Traces the development of physics from 2000 years ago to the experimental theories of the 20th century.
