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The Shape of a Life
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer 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. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi ...
Extensions of the Stability Theorem of the Minkowski Space in General Relativity
A famous result of Christodoulou and Klainerman is the global nonlinear stability of Minkowski spacetime. In this book, Bieri and Zipser provide two extensions to this result. In the first part, Bieri solves the Cauchy problem for the Einstein vacuum equations with more general, asymptotically flat initial data, and describes precisely the asymptotic behavior. In particular, she assumes less decay in the power of r and one less derivative than in the Christodoulou-Klainerman result. She proves that in this case, too, the initial data, being globally close to the trivial data, yields a solution.
Heart of Darkness
Humanity's ongoing quest to unlock the secrets of dark matter and dark energy Heart of Darkness describes the incredible saga of humankind's quest to unravel the deepest secrets of the universe. Over the past forty years, scientists have learned that two little-understood components—dark matter and dark energy—comprise most of the known cosmos, explain the growth of all cosmic structure, and hold the key to the universe's fate. The story of how evidence for the so-called "Lambda-Cold Dark Matter" model of cosmology has been gathered by generations of scientists throughout the world is told here by one of the pioneers of the field, Jeremiah Ostriker, and his coauthor Simon Mitton. From hu...
In Search of the True Universe
This book examines how our understanding of the cosmos advanced rapidly during the twentieth century and identifies factors contributing to this progress.
A Fortunate Universe
An engaging defence and critique of the various arguments from both science and religion on the fine-tuning of the Universe.
Introduction to General Relativity, Black Holes, and Cosmology
General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students ...
...And It Was So
In “...And it was So” Dr. Scott Ransom argues that perceived gaps between science and the Biblical account of creation are symptoms of misinterpretation. A proper understanding of the Hebrew language, the audience for which Genesis was written, the process of Biblical translation, and the nature of science coalesce into a coherent picture of creation in which science and the Bible align. Ransom takes the reader into the story of creation and the science behind it, distilling complex scientific concepts into easily digestible nuggets, and along the way introducing us to many of the lesser-known heroes of scientific discovery. In the end the reader will have a new appreciation for both science and the Bible as well as the harmony that exists between both.
Idolatry and Infinity
Some unwritten stories only exist in fragments. In this book, for the first time, the histories of the injunction against idolatry and the dread of infinity are uniquely woven into one. The spectre of idolatry has haunted the three Western religions since the biblical prohibition. The story of iconoclasm runs from ancient times, where Jews largely ignored the ban on images, through the iconoclastic episodes in Islam and Christianity, and into modern times during the French Revolution. A perhaps surprising thesis of this book is that a conceptual and secular form of iconoclasm continued as the revulsion of illusionism in Modern Art. More recently it flared-up in the dynamiting of two large st...
Higher Speculations
A historical account of highly ambitious attempts to understand all of nature in terms of fundamental physics. Presenting old and new 'theories of everything' in their historical contexts, the book discusses the nature and limits of scientific explanation in connection with concrete case studies.
Curvature in Mathematics and Physics
Expert treatment introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. 2012 edition.
