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"Though at first glance the natural world may appear overwhelming in its diversity and complexity, there are regularities running through it, from the hexagons of a honeycomb to the spirals of a seashell and the branching veins of a leaf. Revealing the order at the foundation of the seemingly chaotic natural world, Patterns in Nature explores not only the math and science but also the beauty and artistry behind nature's awe-inspiring designs, "--Amazon.com....
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Great Courses volume 17
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English
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Ready to exercise those brain cells? Professor Arthur T. Benjamin is renowned for his feats of mental calculation performed before audiences at schools, theaters, museums, conferences, and in this series, he shows that there are simple tricks that allow anyone to look like a math magician. Throughout these lectures, he shows how everything in mathematics is connected--how the beautiful and often imposing edifice that has given us algebra, geometry,...
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Classic work, newly enlarged, provides excellent introduction to the basic concepts and terminology of symmetry, with lucid discussions of geometric symmetry, other symmetries and approximate symmetry, symmetry in nature, uses of symmetry in science, much more. Solutions to problems. Expanded bibliography. 1975 edition.
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This volume concerns different aspects of modern science that will bear on this geometry.
The sciences concerned are Chaos Theory, Relativity, Quantum Theory, Holography, and others. The book takes from these sciences only what the author sees as applying to the Geometry of Universal Mind. And, all things written here are brought back to the significance of meaning in modern life.
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This classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most important applications of tensor calculus. Starting with a chapter on vector spaces, Part I explores affine Euclidean point spaces, tensor algebra,...
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Scientific American Library volume no. 16
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English
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In this splendidly lucid and profusely illustrated book, a Nobel laureate relates the fascinating story of Einstein, the general and special theories of relativity, and the scientists before and since who influenced relativity's genesis and development. Eschewing technical terms in favor of ordinary language, the book offers a perfect introduction to relativity for readers without specialized knowledge of mathematics and science. The author follows...
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"One of Choice's Outstanding Academic Titles for 2013" "Shortlisted for the 2013 BSHM Neumann Book Prize, British Society for the History of Mathematics" Glen Van Brummelen is coordinator of mathematics at Quest University Canada and former president of the Canadian Society for History and Philosophy of Mathematics. He won the 2016 Haimo Award for Distinguished College or University Teaching of Mathematics, awarded by the Mathematical Association...
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Science and Hypothesis is a study written in 1902, by the French mathematician, Henri Poincaré. It was designed with non-specialist readers in mind, and contains information on mathematics, space, physics, and biology. The main theme of this work is that the absolute truth of science is non-existent. It postulates that many scientific beliefs are closer to convenient conventions than valid explanations. The chapters of this book include: "Number...
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A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape, the Calabi-Yau manifold, that may store the hidden dimensions of our universe.
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...
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