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String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. Here, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau's penetrating thinking on where we've been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.--From publisher description.

Hyperspace --- String models --- Fourth dimension --- Fourth dimension. --- Hyperspace. --- String models. --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- 530.19 --- 512.7 --- Space of more than three dimensions --- Time travel --- Models, String --- String theory --- Nuclear reactions --- Algebraic configurations in hyperspace --- Geometry, Differential --- Geometry, Non-Euclidean --- Space and time --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Algebraic geometry. Commutative rings and algebras --- Foundations --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- 512.7 Algebraic geometry. Commutative rings and algebras --- Hyperespace --- Modèles des cordes vibrantes (Physique nucléaire) --- Quatrième dimension --- Modèles des cordes vibrantes (Physique nucléaire) --- Quatrième dimension --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc

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On November 25th, 1915, Albert Einstein published his field equations of general relativity and reinvented gravity. Rather than being some mysterious unseen force pulling objects together, gravity, Einstein told the world, is a manifestation of the curvature of space-time caused by the presence of massive objects. But Einstein's theory wasn't born in a vacuum, not even the vacuum of space. Instead, the theory of general relativity relies upon complicated geometry; Einstein worked closely with mathematicians Marcel Grossmann, David Hilbert, Tullio Levi-Civita, and others as he pieced together his theory of gravity. In The Gravity of Math, the writer Steve Nadis and mathematician Shing-Tung Yau tell the story of how our view of the universe has been shaped and informed by mathematics, particularly when it comes to the enigmatic workings of gravity. Mathematicians have played a pivotal role in investigating relativity and gravity, gaining insights on phenomena like black holes, gravitational waves, and the Big Bang - in some cases uncovering key results decades, or even a century, before any experimental or observational data became available. An insightful and comprehensive study, The Gravity of Math explores how our understanding of math has defined our understanding of the universe. Gravity's reach is ostensibly boundless, and so is that of mathematics, which can carry us to the edge of infinity and back.

Gravitation. --- General relativity (Physics) --- Black holes (Astronomy) --- Gravitation --- Relativité générale (physique) --- Trous noirs (astronomie) --- Mathematics --- History --- Mathématiques. --- Histoire.