Mathematics In Architecture Art Nature And Beyond
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Mathematics In Architecture, Art, Nature, And Beyond
Author: Alfred S Posamentier
language: en
Publisher: World Scientific
Release Date: 2025-03-07
There is little opportunity in classrooms today for teachers to explore the amazing applications of mathematics outside the curriculum. This book is intended to show how mathematics manifests itself in areas that most people are unaware of. One can even revel in the history of how our number system evolved and how that has enabled us to define the beauty in mathematics as well as in art, architecture, nature, and beyond.The first two chapters of this book introduce the Fibonacci numbers and investigate their amazing relationships and applications in our general environment. The following four chapters focus on the Golden Ratio and the Golden Rectangle, exploring how they manifest all around us, often hiding in plain sight: in everything from architectural wonders such as the Taj Mahal to coin design, and from Greek vases to petal formation. We conclude our enjoyable journey through these mathematical wonders by considering conic sections and how they explain many aspects of everyday life, such as radar dishes, headlight reflectors, and whispering halls. This exposure to aspects of mathematics that are usually bypassed in the school curriculum will provide high school students, teachers, and general readers with an opportunity to truly appreciate the power and beauty of mathematics.
Fun Math: Problem Solving Beyond The Classroom
Author: Alfred S Posamentier
language: en
Publisher: World Scientific
Release Date: 2025-05-05
This book offers high school teachers and students a broad and engaging look at an often-maligned subject — mathematics. Expanding beyond strictly defined curriculums, Fun Math: Problem Solving Beyond the Classroom explores additional topics that can inspire and motivate students to better appreciate the importance and beauty of mathematics.The first four chapters present novel examples in four integral areas of the mathematics curriculum, namely arithmetic, logic, algebra, and geometry. The last two chapters expose readers to topics in algebra and geometry that have been neglected at the secondary school level. Throughout the book, the focus is on introducing problem-solving techniques that will be useful in everyday life. With over 300 problems and carefully worked solutions, the book aims to foster a greater appreciation for mathematics through an exploration of useful and fascinating topics rarely addressed in the classroom. In other words, you can have fun with mathematics!
Mathematics: The Quest For Truth And Beauty
This book tells the stories of some of the great quests of mathematics, such as the centuries-long pursuit for the proof of Fermat's Last Theorem. These quests are searches for difficult-to-discover universal truths, pursued with passion not only by mathematicians and scientists, but by kings, emperors and even Jean-Luc Picard, the captain of Star Trek's Starship Enterprise. Some of their exploits are adventures as fascinating as any historical or current-day drama. The truths they have discovered help us understand not only mathematics, but also the Universe — and sometimes, ourselves.In addition to well-known quests such as Fermat's Last Theorem and the Goldbach Conjecture, some of the chapters describe more recent pursuits such as the Traveling Salesman Problem and the Multi-armed Bandit Problem. While some of the quests have been completed, others are still ongoing, and one (the Six Squares Problem) can be understood — and maybe even solved — by a five-year-old child.