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Centuries ago, when the ancient philosopher Zeno proposed his famous paradox involving Achilles and the Tortoise, he struck at the heart of one of science's most enduring and intractable problems: How do we define the infinite? From then on, our greatest natural philosophers, logicians, mathematicians, and scientists, from Aristotle to Stephen Hawking, have been stymied-and driven-by infinity.
Acclaimed Science writer Richard Morris guides us on...
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"Winner of the 2007 Best Sci-Tech Books in Mathematics, Library Journal" "One of Choice's Outstanding Academic Titles for 2007" William Byers is professor of mathematics at Concordia University in Montreal. He has published widely in mathematics journals.
To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction...
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"The object of the following chapters is not to teach mathematics, but to enable students from the very beginning of their course to know what the science is about, and why it is necessarily the foundation of exact thought as applied to natural phenomena." Thus begins this volume by the prominent English philosopher and mathematician Alfred North Whitehead, a concise statement on the nature and meaning of mathematics for the general student. Expertly...
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"If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by acclaimed math...
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A celebrated mathematician traces the history of math through the lives and work of twenty-five pioneering mathematicians. In Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get...
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1540L
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English
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World-renowned theoretical physicist Albert Einstein was interested in explaining the theory of Relativity to people who were not especially well-versed in higher mathematic concepts and theoretical physics. His solution to this was to write the ground-breaking work, "Relativity: The Special and General Theory." In the paper, Einstein lays out two contradictory principles: a principle of relativity and a principle of light. Einstein proposed that,...
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As a mathematician, philosopher, logician, historian, socialist, pacifist, and social critic, Bertrand Russell is noted for his "revolt against idealism" in Britain in the early 20th century, as well as his pacifist activism during WWI, a campaign against Adolf Hitler and later the United States' involvement in the Vietnam War. In addition to his political activism, he is considered to be one of the founders of analytic philosophy, receiving the Nobel...
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Pub. Date
2010
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English
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"Winner of the 2007 Award for Best Professional/Scholarly Book in Mathematics, Association of American Publishers" Gaurav Suri, a partner at a global management consulting firm in San Francisco, holds a master's degree in mathematics from Stanford. Hartosh Singh Bal, a leading independent journalist in New Delhi, holds a master's degree in mathematics from New York University.
While taking a class on infinity at Stanford in the late 1980s, Ravi...
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Dr. Winthrop undertakes to identify the very source of physical law, with a view to explaining why there are any laws at all and why they have the forms they do.
The main idea is to treat the representation of a fact of the external world as a received message. By assuming exact correspondence between the fact and its representation one arrives a general law of physics, a Law of Laws, one that yields both known and new laws governing the behavior...
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Pub. Date
2012
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English
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This is a new printing, the first inexpensive one, of one of the most honored histories of mathematics of all time. When the last revised edition appeared in 1908, it was hailed by mathematicians and laymen alike, and it remains one of the clearest, most authoritative, and most accurate works in the field. Mathematicians welcomed it as a lucid overview of the development of mathematics down through the centuries. Laymen welcomed it as a work which
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Øystein Linnebo is professor of philosophy at the University of Oslo, and previously held positions in Bristol, London, and Oxford. He is the coeditor of New Waves in the Philosophy of Mathematics and the author of Thin Objects: An Abstractionist Approach (forthcoming).
A sophisticated, original introduction to the philosophy of mathematics from one of its leading contemporary scholars
Mathematics is one of humanity's most successful yet puzzling...
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"The P-NP problem is the most important open problem in computer science, if not all of mathematics. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. In this informative and entertaining book, Lance Fortnow traces how the problem arose during the Cold War on both sides of the Iron Curtain, and gives examples of the problem from a variety...
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Entre los muchos temas que forman parte de la filosofía de Platón, el de la educación musical y la importancia de las matemáticas son explorados en este libro. Ambos serán intersecados por un tercer motivo: el mal. ¿Qué entiende Platón por música y por qué su relevancia pedagógica en la formación de la persona? ¿En qué medida la geometría sirve para la conformación del filósofo? Las respuestas a estas preguntas sirven al autor para...
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Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the development of logic from ancient to modern times and compellingly examines the nature of logic and its philosophical implications. No prior knowledge of logic is necessary; readers need only an acquaintance with high school mathematics. The author emphasizes understanding,...
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Que signifie-t-on lorsqu'on affirme d'une idée qu'elle est valable, qu'elle a de la valeur? Cette opération de tous les jours procède nommément, en philosophie, de l'«économie de la pensée». Ce cinquième opuscule du feuilleton théorique «Les économies» recense cette fois les usages du mot «économie» dans le champ de la philosophie. Depuis Kant, mais surtout depuis les néokantiens qui ont médité sur la dimension pratique de la pensée,...
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Roi Wagner is a research fellow at the Minerva Humanities Center at Tel Aviv University, where he earned PhDs in both mathematics and the history and philosophy of science. He is the author of S(Zp,Zp): Post-Structural Readings of Gödel's Proof and a coeditor of Sourcebook in the Mathematics of Medieval Europe and North Africa (Princeton).
In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of...
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