Download or read book Geometric Gems An Appreciation For Geometric Curiosities Volume I The Wonders Of Triangles written by Alfred S Posamentier and published by World Scientific. This book was released on 2024-03-07 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometric Gems An Appreciation for Geometric Curiosities Volume II The Wonders of Quadrilaterals written by Alfred S Posamentier and published by . This book was released on 2024-08-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometrical Kaleidoscope Second Edition written by Boris Pritsker and published by World Scientific. This book was released on 2024-03-14 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book 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 published by World Scientific. This book was released on 2024-01-16 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometric Gems An Appreciation for Geometric Curiosities Volume I The Wonders of Triangles written by Alfred S. Posamentier and published by World Scientific Publishing Company. This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Joy of Mathematics written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2017 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic novelties -- Algebraic explanations of accepted concepts -- Geometric curiosities -- Probability applied to everyday experiences -- Common sense from a mathematical perspective
Download or read book Problems and Solutions in Mathematics written by Ji-Xiu Chen and published by World Scientific. This book was released on 2011 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.
Download or read book The Sense of an Ending written by Julian Barnes and published by Vintage. This book was released on 2011-10-05 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: BOOKER PRIZE WINNER • NATIONAL BESTSELLER • A novel that follows a middle-aged man as he contends with a past he never much thought about—until his closest childhood friends return with a vengeance: one of them from the grave, another maddeningly present. A novel so compelling that it begs to be read in a single setting, The Sense of an Ending has the psychological and emotional depth and sophistication of Henry James at his best, and is a stunning achievement in Julian Barnes's oeuvre. Tony Webster thought he left his past behind as he built a life for himself, and his career has provided him with a secure retirement and an amicable relationship with his ex-wife and daughter, who now has a family of her own. But when he is presented with a mysterious legacy, he is forced to revise his estimation of his own nature and place in the world.
Download or read book The Penguin Dictionary of Curious and Interesting Numbers written by David Wells and published by Penguin. This book was released on 1997-09-04 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides information on numbers and what makes particular ones noteworthy
Download or read book Curiosity written by Philip Ball and published by University of Chicago Press. This book was released on 2014-09-17 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Looking closely at the sixteenth through eighteenth centuries, Ball vividly brings to life the age when modern science began, a time that spans the lives of Galileo and Isaac Newton. In this entertaining and illuminating account of the rise of science as we know it, Ball tells of scientists both legendary and lesser known, from Copernicus and Kepler to Robert Boyle, as well as the inventions and technologies that were inspired by curiosity itself, such as the telescope and the microscope. The so-called Scientific Revolution is often told as a story of great geniuses illuminating the world with flashes of inspiration. But Curiosity reveals a more complex story, in which the liberation--and subsequent taming--of curiosity was linked to magic, religion, literature, travel, trade, and empire. Ball also asks what has become of curiosity today: how it functions in science, how it is spun and packaged for consumption, how well it is being sustained, and how the changing shape of science influences the kinds of questions it may continue to ask"--OCLC
Download or read book The Geometry Code written by Bruce Rawles and published by Elysian Publishing. This book was released on 2012-04 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrate practical insights from modern physics, ancient Hermetic Laws, non-dual meta-physics, transpersonal psychology, and humor, as tools for undoing conflicting beliefs we've dreamed ourselves into. The seven Hermetic laws are explored in depth and demonstrate how a mindfulness that embraces 'other' as 'self' can reverse the typical misapplication of these inescapable laws of Mentalism, Correspondence, Vibration, Polarity, Rhythm, Cause & Effect and Generation. Ubiquitous geometric symbols, paired to each of these laws - the circle, vesica piscis, sine wave, line, spiral, fractal and yin-yang - and their countless commonplace variations, seen from the vantage point of shared interests, reflect these ideas. The inspired use of natural law restores attributes of life, love, strength, purity, beauty, perfection and gratitude to our awareness.
Download or read book Luxury Arts of the Renaissance written by Marina Belozerskaya and published by Getty Publications. This book was released on 2005-10-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Curiosities of Literature written by Isaac Disraeli and published by . This book was released on 1823 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Download or read book The Equation That Couldn t Be Solved written by Mario Livio and published by Simon and Schuster. This book was released on 2005-09-19 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Tinkerlab written by Rachelle Doorley and published by Shambhala. This book was released on 2014-06-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 55 playful experiments that encourage tinkering, curiosity, and creative thinking—hands-on activities that explore art, science, and more. For children of all ages, from toddlers to teenagers! The creator of the highly popular creativity site for kids, Tinkerlab.com, now delivers dozens of engaging, kid-tested, and easy-to-implement projects that will help parents and teachers bring out the natural tinkerer in every kid—even babies, toddlers, and preschoolers. The creative experiments shared in this book foster curiosity, promote creative and critical thinking, and encourage tinkering—mindsets that are important to children growing up in a world that values independent thinking. In addition to offering a host of activities that parents and teachers can put to use right away, this book also includes a buffet of recipes (magic potions, different kinds of play dough, silly putty, and homemade butter) and a detailed list of materials to include in the art pantry.
Download or read book Society and Solitude and Other Essays written by Ralph Waldo Emerson and published by . This book was released on 1871 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
