Showing results for "Geometry" in Science & Engineering

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Throughout, Maciej Dunajski outlines the role geometry plays in the broader context of science and art.

Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. With complicated ideas explained for a broad audience, listeners not only get insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

"Geometry" is a six-part series that delves into the fascinating world of geometry, from its ancient origins to its modern applications. The journey begins with an introduction to fundamental concepts and the historical significance of Euclid's contributions. It progresses through plane geometry, examining shapes and their properties, and solid geometry, exploring three-dimensional forms. The series then covers coordinate geometry, merging algebra with spatial understanding, and transformational geometry, focusing on shape movements and symmetries. Finally, it ventures into the realms of ...

August, 1755. Newcastle, on the north bank of the Tyne. In the fields, men and women are getting the harvest in. Sunlight, or rain. Scudding clouds and backbreaking labour. Three hundred feet underground, young Charles Hutton is at the coalface. Cramped, dust-choked, wielding a five-pound pick...

Michael Schneider leads us on a spectacular journey along the numbers one through 10 to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs.

The Geometry of Change is a field guide to building models that are both honest about complexity and useful in practice. It connects three pillars—how systems work (mechanisms), how we encode them (models), and how we learn from the world (measurement)—into a coherent workflow for decision-making.

Uncover the language of our universe - numbers - in this wide-ranging whistle-stop tour of the history and majesty of mathematics. Our world simply wouldn't function if we didn't have numbers. But where do they come from? Why do we cut cake the wrong way? How can there be different sizes of...