Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles
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Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2024-03-07
Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-07 with Mathematics categories.
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.
Geometric Gems An Appreciation For Geometric Curiosities Volume Ii The Wonders Of Quadrilaterals
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-01-17
Geometric Gems An Appreciation For Geometric Curiosities Volume Ii The Wonders Of Quadrilaterals written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-17 with Mathematics categories.
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.
Geometric Gems An Appreciation For Geometric Curiosities Volume Iii The Wonders Of Circles
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-02-14
Geometric Gems An Appreciation For Geometric Curiosities Volume Iii The Wonders Of Circles written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-14 with Mathematics categories.
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 circle, one of the basic aspects of geometry, has a plethora of unexpected curiosities, which the authors present in an easily understandable 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 readership, whose love for geometry should be greatly enhanced through exploring these many unexpected relationships. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating circle properties.
Geometric Gems
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Author : ALFRED S. GERETSCHLAGER POSAMENTIER (ROBERT.)
language : en
Publisher: World Scientific
Release Date : 2024
Geometric Gems written by ALFRED S. GERETSCHLAGER POSAMENTIER (ROBERT.) and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with categories.
A Journey Through The Wonders Of Plane Geometry
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Author : Alfred S Posamentier
language : en
Publisher: World Scientific
Release Date : 2025-01-24
A Journey Through The Wonders Of Plane Geometry written by Alfred S Posamentier and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-24 with Mathematics categories.
Geometry is one of the most beautiful aspects of mathematics. This beauty is because you can 'see' geometry at work. Most people are exposed to the very basic elements of geometry throughout their schooling with the most concentrated study in the secondary school curriculum. High schools in the United States offer one year of concentrated study of geometry that shows students how a mathematician functions, since everything that is accepted beyond the basic axioms must be proved. Unfortunately, as the course is only one year long, there is still very much in geometry left unexplored for the general audience. That is the challenge of this book, in which we will present a plethora of amazing geometric relationships.We begin with the special relationships of the Golden Ratio, before considering unexpected concurrencies and collinearities. Next, we present some surprising results that arise when squares and similar triangles are placed on triangle sides, followed by a discussion of concyclic points and the relationships between circles and various linear figures. Moving on to more advanced aspects of linear geometry, we consider the geometric wonders of polygons. Finally, we address geometric surprises and fallacies, before concluding with a chapter on the useful concept of homothety, which is not included in the American year-long course in geometry.
Geometrical Kaleidoscope Second Edition
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Author : Boris Pritsker
language : en
Publisher: World Scientific
Release Date : 2024-03-14
Geometrical Kaleidoscope Second Edition written by Boris Pritsker and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-14 with Mathematics categories.
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.
Engaging Young Students In Mathematics Through Competitions World Perspectives And Practices Volume Iii Keeping Competition Mathematics Engaging In Pandemic Times
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Author : Robert Geretschlager
language : en
Publisher: World Scientific
Release Date : 2024-01-16
Engaging Young Students In Mathematics Through Competitions World Perspectives And Practices Volume Iii Keeping Competition Mathematics Engaging In Pandemic Times written by Robert Geretschlager and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-16 with Mathematics categories.
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.
Geometric Gems
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Author : Alfred S. Posamentier
language : en
Publisher:
Release Date : 2024
Geometric Gems written by Alfred S. Posamentier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematics categories.
"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"--
Luxury Arts Of The Renaissance
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Author : Marina Belozerskaya
language : en
Publisher: Getty Publications
Release Date : 2005-10-01
Luxury Arts Of The Renaissance written by Marina Belozerskaya and has been published by Getty Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-01 with Art categories.
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.
The Joy Of Mathematics
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Author : Alfred S. Posamentier
language : en
Publisher: Rowman & Littlefield
Release Date : 2017-08-22
The Joy Of Mathematics written by Alfred S. Posamentier and has been published by Rowman & Littlefield this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-22 with Mathematics categories.
Wouldn't it be great if all school teachers (from kindergarten through high school) would share the joy of mathematics with their students, rather than focus only on the prescribed curriculum that will subsequently be tested? This book reveals some of the wonders of mathematics that are often missing from classrooms. Here's your chance to catch up with the math gems you may have missed. Using jargon-free language and many illustrations, the authors—all veteran math educators—explore five areas—arithmetic, algebra, geometry, probability, and the ways in which mathematics can reinforce common sense. Among other things, you'll learn "the rule of 72," which enables you to quickly determine how long it will take your bank account to double its value at a specific interest rate. Other handy techniques include an automatic algorithm for multiplying numbers mentally and a clever application that will allow you to convert from miles to kilometers (or the reverse) mentally. A delightful presentation of geometric novelties reveals relationships that could have made your study of geometry more fun and enlightening. In the area of probability there is a host of interesting examples: from the famous Monty-Hall problem to the counterintuitive probability of two people having the same birthday in a crowded room. Finally, the authors demonstrate how math will make you a better thinker by improving your organizing abilities and providing useful and surprising solutions to common mathematics problems. You'll come away with an appreciation for math you never thought possible and a true appreciation for this "queen of the sciences."