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Author: Zbigniew Nitecki
Publisher:
ISBN: 9780026240116
Category : Diffeomorphisms
Languages : en
Pages : 282
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Book Description
Author: Zbigniew Nitecki
Publisher:
ISBN: 9780026240116
Category : Diffeomorphisms
Languages : en
Pages : 282
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Book Description
Author: Lawrence Markus
Publisher:
ISBN: 9781470423636
Category : Differentiable dynamical systems
Languages : en
Pages : 77
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Book Description
Author: Onorato Timothy O'Meara
Publisher: American Mathematical Soc.
ISBN: 9780821888698
Category : Mathematics
Languages : en
Pages : 102
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Book Description
Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532
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Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author: Mary Ellen Rudin
Publisher: American Mathematical Soc.
ISBN: 082181673X
Category : Mathematics
Languages : en
Pages : 82
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Book Description
This survey presents some recent results connecting set theory with the problems of general topology, primarily giving the applications of classical set theory in general topology and not considering problems involving large numbers. The lectures are completely self-contained--this is a good reference book on modern questions of general topology and can serve as an introduction to the applications of set theory and infinite combinatorics.
Author: L. Nirenberg
Publisher: American Mathematical Soc.
ISBN: 0821816675
Category : Mathematics
Languages : en
Pages : 68
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Book Description
This volume is the outgrowth of a series of lectures presented at a CBMS Regional Conference held at Texas Tech University in May 1972. In these lectures the author takes up several topics in the theory of linear partial differential equations, beginning with rather elementary, expository material, and going on to some of the current developments and techniques. The lectures are meant for the nonexpert, as an introduction to some of the current questions and ideas. Since the author wished to include some deep results, he has been technical on some occasions, but he has endeavored to describe the necessary background.
Author: Walter Rudin
Publisher: American Mathematical Soc.
ISBN: 0821816551
Category : Mathematics
Languages : en
Pages : 42
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Book Description
Author: John Guckenheimer
Publisher: Springer Science & Business Media
ISBN: 1461211409
Category : Mathematics
Languages : en
Pages : 475
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Book Description
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
Author: Louis Auslander
Publisher: American Mathematical Soc.
ISBN: 0821816845
Category : Mathematics
Languages : en
Pages : 106
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Book Description
Consists of three chapters covering the following topics: foundations, bilinear forms and presentations of certain 2-step nilpotent Lie groups, discrete subgroups of the Heisenberg group, the automorphism group of the Heisenberg group, fundamental unitary representations of the Heisenberg group, and the Fourier transform and the Weil-Brezin map.
Author: Ronald Raphal Coifman
Publisher: American Mathematical Soc.
ISBN: 0821816810
Category : Mathematics
Languages : en
Pages : 68
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Book Description
These ten lectures were presented by Guido Weiss at the University of Nebraska during the week of May 31 to June 4, 1976. They were a part of the Regional Conference Program sponsored by the Conference Board of the Mathematical Sciences and funded by the National Science Foundation. The topic chosen, ``the transference method'', involves a very simple idea that can be applied to several different branches of analysis. The authors have chosen familiar special cases in order to illustrate the use of transference: much that involves general locally compact abelian groups can be understood by examining the real line; the group of rotations can be used to explain what can be done with compact groups; $SL(2,\mathbf C)$ plays the same role vis-a-vis noncompact semisimple Lie groups. The main theme of these lectures is the interplay between properties of convolution operators on classical groups (such as the reals, integers, the torus) and operators associated with more general measure spaces. The basic idea behind this interplay is the notion of transferred operator; these are operators ``obtained'' from convolutions by replacing the translation by some action of the group (or, in some cases, a semigroup) and give rise, among other things, to an interaction between ergodic theory and harmonic analysis. There are illustrations of these ideas. A graduate student in analysis would be able to read most of this book. The work is partly expository, but is mostly ``self-contained''.
