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Euclides Vindicatus
Presents the axiom systems of non-Euclidean geometry. This book states and proves theorem after theorem of (hyperbolic) non-Euclidean geometry.
Who Gave You the Epsilon?
Follows on from Sherlock Holmes in Babylon to take the history of mathematics through the nineteenth and twentieth centuries.
The Emergence of the American Mathematical Research Community, 1876-1900
Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover
Popular Science
Popular Science gives our readers the information and tools to improve their technology and their world. The core belief that Popular Science and our readers share: The future is going to be better, and science and technology are the driving forces that will help make it better.
Epistemology versus Ontology
This book brings together philosophers, mathematicians and logicians to penetrate important problems in the philosophy and foundations of mathematics. In philosophy, one has been concerned with the opposition between constructivism and classical mathematics and the different ontological and epistemological views that are reflected in this opposition. The dominant foundational framework for current mathematics is classical logic and set theory with the axiom of choice (ZFC). This framework is, however, laden with philosophical difficulties. One important alternative foundational programme that is actively pursued today is predicativistic constructivism based on Martin-Löf type theory. Associated philosophical foundations are meaning theories in the tradition of Wittgenstein, Dummett, Prawitz and Martin-Löf. What is the relation between proof-theoretical semantics in the tradition of Gentzen, Prawitz, and Martin-Löf and Wittgensteinian or other accounts of meaning-as-use? What can proof-theoretical analyses tell us about the scope and limits of constructive and predicative mathematics?
A Man Absolutely Sure of Himself
This is the first full biography of George Washington Littlefield, the Texas and New Mexico rancher, Austin banker and businessman, University of Texas regent, and philanthropist. In just two decades, Littlefield’s business acumen vaulted him from debt to inclusion in 1892 on the first list of American millionaires. A Man Absolutely Sure of Himself is a grand retelling of the life of a highly successful entrepreneur and Austin civic leader whose work affected spheres from ranching and banking to civic development and academia. Littlefield’s cattle operations during the open range and early ranching periods spanned a domain in New Mexico and Texas larger than the states of Delaware and Co...
