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This book is written from the point of view of the users of maths. This book strives to give a guided tour of the development of various branches of mathematics (and what they're used for) that will give the reader this intuitive understanding.
David Garfinkle was born in 1958 and wanted to be a physicist ever since his first year of high school. He got a bachelor's degree from Princeton University in 1980 and a PhD from The University of Chicago in 1985. Since 1991 he has been a physics professor at Oakland University in Michigan. David is the author of over 100 articles in physics journals. His main areas of research are black holes, spacetime singularities, and gravitational radiation. He performs computer simulations of gravitational collapse to resolve questions about black holes and singularities. David was named a Fellow of the American Physical Society (APS) with the citation reading "for his numerous contributions to a wide variety of topics in relativity and semiclassical gravity." David and Richard have written Three Steps to the Universe (U. of Chicago Press, 2008) a book on black holes and dark matter. For the better part of his early life, Richard Garfinkle thought he wanted to be a mathematician. He went so far as to spend four years studying math at the University of Chicago before discovering that he really wanted to be a writer. He has had several science fiction and fantasy novels published. His first Celestial Matters (Tor 1996) won the Compton Crook award for best first novel. Richard and David have written Three Steps to the Universe (U. of Chicago Press, 2008) a book on black holes and dark matter. For his day job, he programs computers. Richard lives in Chicago with his wife and children.
List of Figures. Preface. Why This Book? The Roots of Mathematics. Sticks and Stones. Abstraction, Mistrust, and Laziness. Algebra, Geometry, Analysis: The Mathematical Mindsets. Theory in Practice. Analytic Geometry. Calculus: Motion and Size. The Language of Motion. Sound, Notes, and Harmonics. Probability and Statistics. Other Geometries: Not So Straight, These Sticks. Algebra and the Rise of Abstraction. Toolkit of the Theoretical Universe. The Smith and the Knight. Building the Theoretical Universe. Computers. The Theoretical Universe of Modern Physics: Toolkit Included. Math Education and Math in Education. Index.
