Author: Emile Borel
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 254

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Book Description

Author: Émile Félix Édouard Justin Borel
Publisher:
ISBN:
Category :
Languages : fr
Pages : 246

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Book Description

Author: Émile Borel
Publisher:
ISBN:
Category : Mathematics
Languages : fr
Pages :

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Book Description

Author: Émile Borel
Publisher:
ISBN:
Category :
Languages : fr
Pages : 246

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Book Description

Author: Michael Polanyi
Publisher: University of Chicago Press
ISBN: 022615985X
Category : Science
Languages : en
Pages : 446

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Book Description
In this work the distinguished physical chemist and philosopher, Michael Polanyi, demonstrates that the scientist's personal participation in his knowledge, in both its discovery and its validation, is an indispensable part of science itself. Even in the exact sciences, "knowing" is an art, of which the skill of the knower, guided by his personal commitment and his passionate sense of increasing contact with reality, is a logically necessary part. In the biological and social sciences this becomes even more evident. The tendency to make knowledge impersonal in our culture has split fact from value, science from humanity. Polanyi wishes to substitute for the objective, impersonal ideal of scientific detachment an alternative ideal which gives attention to the personal involvement of the knower in all acts of understanding. His book should help to restore science to its rightful place in an integrated culture, as part of the whole person's continuing endeavor to make sense of the totality of his experience. In honor of this work and his The Study of Man Polanyi was presented with the Lecomte de Noüy Award for 1959.

Author:
Publisher: Routledge
ISBN: 1134746105
Category :
Languages : en
Pages : 503

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Author: nathan grier parke III
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Author: Rudolf Taschner
Publisher: Springer Science & Business Media
ISBN: 332282036X
Category : Mathematics
Languages : en
Pages : 143

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Book Description
In this small text the basic theory of the continuum, including the elements of metric space theory and continuity is developed within the system of intuitionistic mathematics in the sense of L.E.J. Brouwer and H. Weyl. The main features are proofs of the famous theorems of Brouwer concerning the continuity of all functions that are defined on "whole" intervals, the uniform continuity of all functions that are defined on compact intervals, and the uniform convergence of all pointwise converging sequences of functions defined on compact intervals. The constructive approach is interesting both in itself and as a contrast to, for example, the formal axiomatic one.

Author: Nathan Grier Parke
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 730

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Book Description

Author: Elias M. Stein
Publisher: Princeton University Press
ISBN: 1400831156
Category : Mathematics
Languages : en
Pages : 398

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Book Description
With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.