david hilbert s lectures on the foundations of geometry 1891 1902

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David Hilbert S Lectures On The Foundations Of Geometry 1891 1902

Author : David Hilbert
ISBN : 3540643737
Genre : Literary Criticism
File Size : 35. 36 MB
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This volume contains notes for lectures on the foundations of geometry held by Hilbert from 1891-1902. These contain material which never found its way into print. The volume also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie.

The Foundations Of Geometry

Author : David Hilbert
ISBN : UCAL:B4073879
Genre : Geometry
File Size : 37. 27 MB
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The Philosophy Of Science A M

Author : Sahotra Sarkar
ISBN : 0415977096
Genre : Science
File Size : 62. 2 MB
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The first in-depth reference to the field that combines scientific knowledge with philosophical inquiry, this encyclopedia brings together a team of leading scholars to provide nearly 150 entries on the essential concepts in the philosophy of science. The areas covered include biology, chemistry, epistemology and metaphysics, physics, psychology and mind, the social sciences, and key figures in the combined studies of science and philosophy. (Midwest).

Hilbert S Programs And Beyond

Author : Wilfried Sieg
ISBN : 9780195372229
Genre : Computers
File Size : 20. 55 MB
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David Hilbert was one of the great mathematicians who expounded the centrality of their subject in human thought. In this collection of essays, Wilfried Sieg frames Hilbert's foundational work, from 1890 to 1939, in a comprehensive way and integrates it with modern proof theoretic investigations.

The Cambridge Companion To Frege

Author : Tom Ricketts
ISBN : 9780521624282
Genre : Literary Criticism
File Size : 65. 71 MB
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Offers a comprehensive and accessible exploration of the scope and importance of Gottlob Frege's work.

Mathematical Reviews

Author :
ISBN : UVA:X006195258
Genre : Mathematics
File Size : 39. 21 MB
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Mathematical Methods In Computer Vision

Author : Peter J. Olver
ISBN : 0387004971
Genre : Business & Economics
File Size : 39. 51 MB
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"Comprises some of the key work presented at two IMA Wokshops on Computer Vision during fall of 2000."--Pref.

Geometry And The Imagination

Author : David Hilbert
ISBN : 9780821819982
Genre : Mathematics
File Size : 69. 25 MB
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This remarkable book endures as a true masterpiece of mathematical exposition. The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. Geometry and the Imagination is full of interesting facts, many of which you wish you had known before. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in $\mathbb{R}^3$. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: $\pi/4 = 1 - 1/3 + 1/5 - 1/7 + - \ldots$. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is ``Projective Configurations''. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the "pantheon" of great mathematics books.

The Implicit Function Theorem

Author : Steven G. Krantz
ISBN : 9781461459811
Genre : Mathematics
File Size : 22. 91 MB
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The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for Ck functions, (ii) formulations in other function spaces, (iii) formulations for non-smooth function, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash–Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present uncorrected reprint of this classic monograph. ​ Originally published in 2002, The Implicit Function Theorem is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.​

Convex Variational Problems

Author : Michael Bildhauer
ISBN : 9783540448853
Genre : Mathematics
File Size : 90. 83 MB
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The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.

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