Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 624

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Author: Robert Hermann
Publisher: Math Science Press
ISBN: 9780915692460
Category : Mathematics
Languages : en
Pages : 205

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Author: Robert Hermann
Publisher: Math-Sci Press
ISBN: 9780915692453
Category : Mathematics
Languages : en
Pages : 286

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Author: Giovanni Boniolo
Publisher: Springer Science & Business Media
ISBN: 1402031076
Category : Science
Languages : en
Pages : 246

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Book Description
Even though mathematics and physics have been related for centuries and this relation appears to be unproblematic, there are many questions still open: Is mathematics really necessary for physics, or could physics exist without mathematics? Should we think physically and then add the mathematics apt to formalise our physical intuition, or should we think mathematically and then interpret physically the obtained results? Do we get mathematical objects by abstraction from real objects, or vice versa? Why is mathematics effective into physics? These are all relevant questions, whose answers are necessary to fully understand the status of physics, particularly of contemporary physics. The aim of this book is to offer plausible answers to such questions through both historical analyses of relevant cases, and philosophical analyses of the relations between mathematics and physics.

Author: Gregory L. Naber
Publisher: Springer Science & Business Media
ISBN: 1475727429
Category : Mathematics
Languages : en
Pages : 410

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Like any books on a subject as vast as this, this book has to have a point-of-view to guide the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. The reader is asked to join the author on some vague notion of what an electromagnetic field might be, to be willing to accept a few of the more elementary pronouncements of quantum mechanics, and to have a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. In return, the book offers an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1.

Author: Robert Hermann
Publisher: Math Science Press
ISBN: 9780915692422
Category : Mathematics
Languages : en
Pages : 363

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VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.

Author: Robert Hermann
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 312

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Author: Robert Hermann
Publisher:
ISBN: 9780915692255
Category : Mathematics
Languages : en
Pages : 216

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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 72

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Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2160

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