In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering ...

Describes the development and the ultimate demise of the practice of mathematics in sixteenth century Antwerp. Against the background of the violent history of the Religious Wars the story of the practice of mathematics in Antwerp is told through the lives of two protagonists Michiel Coignet and Peeter Heyns. The book touches on all aspects of practical mathematics from teaching and instrument making to the practice of building fortifications of the practice of navigation.

“One of the best critiques of current K-12 mathematics education I have ever seen, written by a first-class research mathematician who elected to devote his teaching career to K-12 education.” —Keith Devlin, NPR’s “Math Guy”A brilliant research mathematician reveals math to be a creative art form on par with painting, poetry, and sculpture, and rejects the standard anxiety-producing teaching methods used in most schools today. Witty and accessible, Paul Lockhart’s ...

The 50 most significant principles and styles in architecture, each explained in half a minute. The bestselling 30-Second series offers a new approach to learning about those subjects you feel you should really understand. Every title takes a popular topic and dissects it into the 50 most significant ideas at its heart. Each idea, no matter how complex, is explained using a mere two pages, 300 words, and one picture: all easily digested in only half a minute. 30-Second Architecture present...

A Financial Times Best Book of the YearA Guardian Best Architecture Book of the Year“Sharp, revealing, funny.”—The Guardian“An original and even occasionally hilarious book about losing ideals and finding them again… [De Graaf] deftly shows that architecture cannot be better or more pure than the flawed humans who make it.”—The EconomistArchitecture, we like to believe, is an elevated art form...

While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion....

Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. ...

We don't just look at buildings: their facades, beautiful or ugly, conceal the spaces where we live. We are born, work, love, and die in architecture. We buy and sell it, rent and squat it, create and destroy it. All of these aspects of buildings-economic, erotic, political, and psychological-are crucial if we are to understand architecture properly. And because architecture molds us just as much as we mold it, understanding architecture helps us to understand our lives and our world....

"This is geometry as you've never seen it before. A feast for the eyes." ―Ian Stewart, author of Visions of InfinityAn exquisite visual celebration of the 2,500-year history of geometryIf you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustra...

New York Times bestselling author Danica McKellar makes it a breeze to excel in high school geometry!Hollywood actress and math whiz Danica McKellar has completely shattered the “math nerd” stereotype. For years, she’s been showing girls how to feel confident and ace their math classes—with style! With Girls Get Curves, she applies her winning techniques to high school geometry, giving readers the tools they need to feel great and totally “get” ev...

The Architecture of Neoliberalism pursues an uncompromising critique of the neoliberal turn in contemporary architecture. This book reveals how a self-styled parametric and post-critical architecture serves mechanisms of control and compliance while promoting itself, at the same time, as progressive. Spencer's incisive analysis of the architecture and writings of figures such as Zaha Hadid, Patrik Schumacher, Rem Koolhaas, and Greg Lynn shows them to be in thrall to the same notio...

In a sense, trigonometry sits at the center of high school mathematics. It originates in the study of geometry when we investigate the ratios of sides in similar right triangles, or when we look at the relationship between a chord of a circle and its arc. It leads to a much deeper study of periodic functions, and of the so-called transcendental functions, which cannot be described using finite algebraic processes. It also has many applications to physics, astronomy, and other branches of s...