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Mathematics
: History & Philosophy
History & Philosophy eBooks
You have selected the subject of History & Philosophy. The eBooks in this subject are listed below.
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RESULTS: 11 to 20 of 46
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Frank Ramsey
By: Dokic, Jérôme; Engel, Pascal
Published by: Routledge
Despite his tragic death at the age of 26, Frank Ramsey (1903 - 1930) remains one of the most intriguing minds of the twentieth century. His thought had a profound influence on both Ludwig Wittgenstein and Bertrand Russell, and many strands of contemporary analytic philosophy find their origin in Ramsey's ideas. Frank Ramsey: Truth and Success provides a much-needed introduction to the work of this undervalued thinker, and makes an important and profound contribution to our understanding of Ramsey's work and his place in twentieth century philosophy. It will be of interest to all students of logic, metaphysics and the history of philosophy.
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Price: $95.00
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Gamma
By: Havil, Julian; Stern, M. (trans.); Stern, Manfred (trans.)
Published by: Springer
Jeder kennt die Kreiszahl p = 3,14159, viele kennen auch e = 2,71828, die Basis der natrlichen Logarithmen, und die imaginre Einheit i. Und dann? Die viertwichtigste" Konstante ist die Eulersche Zahl g = 0,5772156, benannt nach dem genialen Leonhard Euler (1707-1783). p und e sind transzendent, aber bis heute ist unbekannt, ob g eine rationale Zahl ist. Das Buch lotet diese obskure" Konstante aus. Die Reise beginnt mit Logarithmen und der harmonischen Reihe. Es folgen Zeta-Funktionen und Eulers wunderbare Identitt, Bernoulli-Zahlen, Madelungsche Konstanten, Fettfinger in Wrterbchern, elende mathematische Wrmer und Jeeps in der Wste. Harmonien in der Geometrie, in der Musik und bei Primzahlen! Unterwegs begegnen wir Euklid und Tschebyschew, Napier und Kepler, Gau und Riemann, Hardy und Littlewood, den Hilbertschen Problemen, Hadamard und dem Primzahlsatz, Erdos und von Mangoldts expliziter Formel. Die Krnung ist die Riemannsche Vermutung, das bedeutendste ungelste Problem der Mathematik. Besser kann man nicht ber Mathematik schreiben, als dies Julian Havil in seinem Buch ber Gamma, die Euler-Konstante, tut. Wohl jeder Mathematikstudent kennt diese Zahl, aber was Havil an Zusammenhngen in den verschiedensten Mathematikgebieten dazu zu sagen hat ist spektakulr, und die Darstellung ist exzellent. Jeder Mathematik- und Physikstudent sollte dieses Buch lesen, und auch professionelle Mathematiker werden in dem Buch viel Neues finden.
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Price: $39.95
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Greek, Indian and Arabic Logic
By: Gabbay, Dov M.; Woods, John
Published by: North Holland
Greek, Indian and Arabic Logic marks the initial appearance of the multi-volume Handbook of the History of Logic. Additional volumes will be published when ready, rather than in strict chronological order. Soon to appear are The Rise of Modern Logic: From Leibniz to Frege. Also in preparation are Logic From Russell to Gödel, The Emergence of Classical Logic, Logic and the Modalities in the Twentieth Century, and The Many-Valued and Non-Monotonic Turn in Logic. Further volumes will follow, including Mediaeval and Renaissance Logic and Logic: A History of its Central. In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world. Like its companion volumes, Greek, Indian and Arabic Logic is the result of a design that gives to its distinguished authors as much space as would be needed to produce highly
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Price: $185.00
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Growing Ideas of Number
By: John N Crossley; David Leigh-Lancaster (ed.)
Published by: Australian Council for Educational Research
Growing Ideas of Number explores the notion of how ideas of number have grown throughout history. It looks at how different types of number and views of numbers (and their meaning and applications) have varied across cultures over time, and combines historical, archaeological and psychological considerations with the mathematics. The book illustrates some of the real problems and subtleties of number, including counting, calculation, measuring and using machines, which ancient and modern people have grappled with—and continue to grapple with today. It includes a range of illustrative examples, diagrams, tables and references for further reading, as well as suggested activities, exercises and investigations.
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Price: $34.95
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Hidden Unity in Nature's Laws
By: Taylor, John C.
Published by: Cambridge University Press
As physics has progressed through the ages it has succeeded in explaining more and more diverse phenomena with fewer and fewer underlying principles. This lucid and wide-ranging book explains how this understanding has developed by periodically uncovering unexpected 'hidden unities' in nature. An illuminating read.
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Price: $36.00
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History of Banach Spaces and Linear Operators
By: Pietsch, Albrecht
Published by: Springer
Presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. This book talks about Banach space theory as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc.
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Price: $129.00
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How Math Explains the World
By: Stein, James D.
Published by: Harper Collins
In How Math Explains the World , mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
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Price: $19.95
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The Indispensability of Mathematics
By: Colyvan, Mark
Published by: Oxford University Press (US)
The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to certain scientific theories. This text examines the issues.
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Price: $41.00
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Infinite
By: Moore, A. W.
Published by: Routledge
An historical study of the infinite, covering all its aspects, from the mathematical to the mystical. Moore discusses not only Aristotle and Zeno, but also Cantor, Gödel and Wittgenstein, and examines God, mortality and human finitude.
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Price: $26.95
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RESULTS: 11 to 20 of 46
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