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Author: Peter Hagedorn
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 312
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Book Description
Author: A. C. Schaeffer
Publisher: American Mathematical Soc.
ISBN: 1470429101
Category : Surfaces, Representation of
Languages : en
Pages : 330
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Book Description
Instead of investigating various isolated extremal problems in the theory of schlicht functions, the authors have concentrated their efforts on the investigation of the family of extremal schlicht functions in the large.
Author: Peter Hagedorn
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 312
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Book Description
Author: J. Dixmier
Publisher: Springer Science & Business Media
ISBN: 1475740328
Category : Mathematics
Languages : en
Pages : 150
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Book Description
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer sity year). The course was taught during the first semester of the 1979-80 academic year (three hours a week of lecture, four hours a week of guided work). Topology is the study of the notions of limit and continuity and thus is, in principle, very ancient. However, we shall limit ourselves to the origins of the theory since the nineteenth century. One of the sources of topology is the effort to clarify the theory of real-valued functions of a real variable: uniform continuity, uniform convergence, equicontinuity, Bolzano-Weierstrass theorem (this work is historically inseparable from the attempts to define with precision what the real numbers are). Cauchy was one of the pioneers in this direction, but the errors that slip into his work prove how hard it was to isolate the right concepts. Cantor came along a bit later; his researches into trigonometric series led him to study in detail sets of points of R (whence the concepts of open set and closed set in R, which in his work are intermingled with much subtler concepts). The foregoing alone does not justify the very general framework in which this course is set. The fact is that the concepts mentioned above have shown themselves to be useful for objects other than the real numbers.
Author: V.I. Arnold
Publisher: Springer Science & Business Media
ISBN: 1461251540
Category : Mathematics
Languages : en
Pages : 390
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Book Description
... there is nothing so enthralling, so grandiose, nothing that stuns or captivates the human soul quite so much as a first course in a science. After the first five or six lectures one already holds the brightest hopes, already sees oneself as a seeker after truth. I too have wholeheartedly pursued science passionately, as one would a beloved woman. I was a slave, and sought no other sun in my life. Day and night I crammed myself, bending my back, ruining myself over my books; I wept when I beheld others exploiting science fot personal gain. But I was not long enthralled. The truth is every science has a beginning, but never an end - they go on for ever like periodic fractions. Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps. This theory is a young branch of analysis which currently occupies a central place in mathematics; it is the crossroads of paths leading from very abstract corners of mathematics (such as algebraic and differential geometry and topology, Lie groups and algebras, complex manifolds, commutative algebra and the like) to the most applied areas (such as differential equations and dynamical systems, optimal control, the theory of bifurcations and catastrophes, short-wave and saddle-point asymptotics and geometrical and wave optics).
Author: Wolfgang J. Thron
Publisher:
ISBN:
Category : Convergence series
Languages : en
Pages : 68
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Book Description
Author: Ib H. Madsen
Publisher: Cambridge University Press
ISBN: 9780521589567
Category : Mathematics
Languages : en
Pages : 302
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Book Description
An introductory textbook on cohomology and curvature with emphasis on applications.
Author: Kai Lai Chung
Publisher:
ISBN:
Category : Markov processes
Languages : en
Pages : 30
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Book Description
Author: A. H. Taub
Publisher:
ISBN:
Category : Hydrodynamics
Languages : en
Pages : 24
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Book Description
Author: J. A. Todd
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 648
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Book Description
Author: Mary Lucy 1900- Cartwright
Publisher: Hassell Street Press
ISBN: 9781014620422
Category :
Languages : en
Pages : 150
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Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
