Mathematics Form Function (34 results)

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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! In mathematics, the Weil pairing is a construction of roots of unity by means of functions on an elliptic curve E, in such a way as to constitute a pairing (bilinear form, though with multiplicative notation) on the torsion subgroup of E. The name is for André Weil, who gave an abstract algebraic definition; the corresponding results for elliptic functions were known, and can be expressed simply by use of the Weierstrass sigma function. Pairing-based cryptography is the use of a pairing between elements of two groups to a third group to construct cryptographic systems. Usually the same group is used for the first two groups, making the pairing in fact a mapping from two elements from one group to an element from a second group. In this way, pairings can be used to reduce a hard problem in one group to a different, usually easier problem in another group.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - High Quality Content by WIKIPEDIA articles! The Weierstrass elliptic function can be defined in three closely related ways, each of which possesses certain advantages. One is as a function of a complex variable z and a lattice in the complex plane. Another is in terms of z and two complex numbers 1 and 2 defining a pair of generators, or periods, for the lattice. The third is in terms z and of a modulus in the upper half-plane. This is related to the previous definition by = 2 / 1, which by the conventional choice on the pair of periods is in the upper half-plane. Using this approach, for fixed z the Weierstrass functions become modular functions of .…

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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware 80 pp. Englisch.

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematicsand specifically in number theory, a divisor function is an arithmeticalfunction related to the divisors of an integer. When referred to as thedivisor function, it counts the number of divisors of an integer. Itappears in a number of remarkable identities, including relationships onthe Riemann zeta function and the Eisenstein series of modular forms.Divisor functions were studied by Ramanujan, who gave a number ofimportant congruences and identities.…

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. Mathematics, Formand Function is a survey of the whole of mathematics, including itsorigins and deep structure, by the American mathematician Saunders MacLane. Throughout his book, and especially in chapter I.11, Mac Laneinformally discusses how mathematics is grounded in more ordinaryconcrete and abstract human activities. This section sets out a summaryof his views on the human grounding of mathematics. Mac Lane is notedfor co-founding the field of category theory, which enables afar-reaching, unified treatment of mathematical structures andrelationships between them at the cost of breaking away from theircognitive grounding. Nonetheless, his views -however informal- are avaluable contribution to the philosophy and anthropology of mathematicswhich anticipates, in some respects, the much richer and more detailedaccount of the cognitive basis of mathematics given by George Lakoff andRafael E. Nunez in Where Mathematics Comes From. Lakoff and Nunez arguethat mathematics emerges via conceptual metaphors grounded in the humanbody, its motion through space and time, and in human sense perceptions.…

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B. L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin. 492 pp. Englisch.…

Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I Origins of Formal Structure.- 1. The Natural Numbers.- 2. Infinite Sets.- 3. Permutations.- 4. Time and Order.- 5. Space and Motion.- 6. Symmetry.- 7. Transformation Groups.- 8. Groups.- 9. Boolean Algebra.- 10. Calculus, Continuity, and Topology.- 11. Hu. …

Taschenbuch. Condition: Neu. Weierstrass's Elliptic Functions | Mathematics, Elliptic Function, Karl Weierstrass, Upper half-plane, Modular Form, Automorphic Form, Fundamental Pair of Periods, Eisenstein Series, Homogeneous Function | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786130364083 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Condition: Neu. Mathematics, Form and Function | Mathematics, Saunders Mac Lane, Conceptual metaphor, Cognitive science, Cognitive science of mathematics, Embodied philosophy | Frederic P. Miller (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786132670922 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand.…

Taschenbuch. Condition: Neu. Weil Pairing | Mathematics, Bilinear Form, Elliptic Function | Lambert M. Surhone (u. a.) | Taschenbuch | Englisch | 2026 | OmniScriptum | EAN 9786131182112 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. …

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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematics, amatrix function is a function which maps a matrix to a matrix.There areseveral techniques for lifting a real function to a square matrixfunction such that interesting properties are maintained. All of thefollowing techniques yield the same matrix function, but the domains onwhich the function are defined may differ.…

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. Mathematics, Formand Function is a survey of the whole of mathematics, including itsorigins and deep structure, by the American mathematician Saunders MacLane. Throughout his book, and especially in chapter I.11, Mac Laneinformally discusses how mathematics is grounded in more ordinaryconcrete and abstract human activities. This section sets out a summaryof his views on the human grounding of mathematics. Mac Lane is notedfor co-founding the field of category theory, which enables afar-reaching, unified treatment of mathematical structures andrelationships between them at the cost of breaking away from theircognitive grounding. Nonetheless, his views -however informal- are avaluable contribution to the philosophy and anthropology of mathematicswhich anticipates, in some respects, the much richer and more detailedaccount of the cognitive basis of mathematics given by George Lakoff andRafael E. Nunez in Where Mathematics Comes From. Lakoff and Nunez arguethat mathematics emerges via conceptual metaphors grounded in the humanbody, its motion through space and time, and in human sense perceptions.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 80 pp. Englisch. …