Results 161 to 170 of about 63,212 (208)
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Brouwer and Fraenkel on Intuitionism
Bulletin of Symbolic Logic, 2000In the present paper the story is told of the brief and far from tranquil encounter of L.E.J. Brouwer and A. Fraenkel. The relationship which started in perfect harmony, ended in irritation and reproaches.The mutual appreciation at the outset is beyond question.
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Mathematical Notes, 1992
The paper provides a calculation for the Browder-Livesay groups \(LN_ *( \pi \to G)\) for a finite abelian 2-group \(G\), here \(\pi\) is an index two subgroup. In case \(G \cong \pi \oplus \mathbb{Z} / 2\) the calculation was known since [\textit{C. T. C.
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The paper provides a calculation for the Browder-Livesay groups \(LN_ *( \pi \to G)\) for a finite abelian 2-group \(G\), here \(\pi\) is an index two subgroup. In case \(G \cong \pi \oplus \mathbb{Z} / 2\) the calculation was known since [\textit{C. T. C.
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The Development of Brouwer’s Intuitionism
2000It has often been said that Brouwer’s papers are hard to read; leaving the truth or falsity of that statement aside, one might wish for a guide through the intricate maze of arguments, principles, counter examples,.... The present exposition should provide readers with a map to venture out into the works of Brouwer.
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2004
"On Brouwer", like other titles in the Wadsworth Philosopher's Series, offers a concise, yet comprehensive, introduction to this philosopher's most important ideas. Presenting the most important insights of well over a hundred seminal philosophers in both the Eastern and Western traditions, the Wadsworth Philosophers Series contains volumes written by ...
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"On Brouwer", like other titles in the Wadsworth Philosopher's Series, offers a concise, yet comprehensive, introduction to this philosopher's most important ideas. Presenting the most important insights of well over a hundred seminal philosophers in both the Eastern and Western traditions, the Wadsworth Philosophers Series contains volumes written by ...
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1976
Probably the most famous fixed-point theorem states that a continuous function from a closed n-cell to itself leaves at least one point fixed. The Dutch mathematician L. E. J. Brouwer proved this result in 1912 [5] using degree theory. An equivalent theorem in the case of differentiable functions was proved earlier by Bohl [4], who used Green’s theorem.
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Probably the most famous fixed-point theorem states that a continuous function from a closed n-cell to itself leaves at least one point fixed. The Dutch mathematician L. E. J. Brouwer proved this result in 1912 [5] using degree theory. An equivalent theorem in the case of differentiable functions was proved earlier by Bohl [4], who used Green’s theorem.
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Progress in Nonlinear Differential Equations and Their Application, 2021
Jean Mawhin, George Dinca
exaly
Jean Mawhin, George Dinca
exaly
2004
The topological degree is a useful tool in the study of existence of solutions to nonlinear equations. In this chapter, we will study the finite dimensional version of the degree, known as the Brouwer degree.
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The topological degree is a useful tool in the study of existence of solutions to nonlinear equations. In this chapter, we will study the finite dimensional version of the degree, known as the Brouwer degree.
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1983
The degree of a continuous function f:S n-1 → S n-1 is an integer that measures the number of times the parametric surface f “wraps around” the unit sphere Sn-1. The way to define this integer and the fact that it reflects fundamental properties of the function f itself were discovered about 1900 by the Dutch mathematician L. E. J. Brouwer.
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The degree of a continuous function f:S n-1 → S n-1 is an integer that measures the number of times the parametric surface f “wraps around” the unit sphere Sn-1. The way to define this integer and the fact that it reflects fundamental properties of the function f itself were discovered about 1900 by the Dutch mathematician L. E. J. Brouwer.
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