Differentiable Periodic Maps

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Differentiable Periodic Maps

Author : Pierre E. Conner
Publisher : Springer Science & Business Media
ISBN 13 : 3662416336
Total Pages : 155 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Differentiable Periodic Maps by : Pierre E. Conner

Download or read book Differentiable Periodic Maps written by Pierre E. Conner and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research tract contains an exposition of our research on bordism and differentiable periodic maps done in the period 1960-62. The research grew out of the conviction, not ours alone, that the subject of transformation groups is in need of a large infusion of the modern methods of algebraic topology. This conviction we owe at least in part to Armand Borel; in particular Borel has maintained the desirability of methods in transformation groups that use differentiability in a key fashion [9, Introduction], and that is what we try to supply here. We do not try to relate our work to Smith theory, the homological study of periodic maps due to such a large extent to P. A. Smith; for a modern development of that subject which expands it greatly see the Borel Seminar notes [9]. It appears to us that our work is independent of Smith theory, but in part inspired by it. We owe a particular debt to G. D. Mostow, who pointed out to us some time ago that it followed from Smith theory that an involution on a compact manifold, or a map of prime period [italic lowercase]p on a compact orientable manifold, could not have precisely one fixed point. It was this fact that led us to believe it worthwhile to apply cobordism to periodic maps.

Differentiable Periodic Maps

Author : P. E. Conner
Publisher : Springer
ISBN 13 : 3540350322
Total Pages : 186 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Differentiable Periodic Maps by : P. E. Conner

Download or read book Differentiable Periodic Maps written by P. E. Conner and published by Springer. This book was released on 2006-11-15 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: MEMS Vibratory Gyroscopes provides a solid foundation in the theory and fundamental operational principles of micromachined vibratory rate gyroscopes, and introduces structural designs that provide inherent robustness against structural and environmental variations. In part one, the dynamics of the vibratory gyroscope sensing element is developed, common micro-fabrication processes and methods commonly used in inertial sensor production are summarized, design of mechanical structures for both linear and torsional gyroscopes are presented, and electrical actuation and detection methods are discussed along with details on experimental characterization of MEMS gyroscopes. In part two, design concepts that improve robustness of the micromachined sensing element are introduced, supported by constructive computational examples and experimental results illustrating the material. MEMS Vibratory Gyroscopes is a must have book for engineers in both industry and academia who specialize in the design and manufacture of gyroscopes. Readers will find: A unique balance between theory and practical design issues. Comprehensive and detailed information outlining the mathematical models of the mechanical structure and system-level sensor design. Solid background Information on mechanical and electrical design, fabrication, packaging, testing and characterization. About The MEMs Reference Shelf: "The MEMs Reference Shelf is a series devoted to Micro-Electro-Mechanical Systems (MEMs) which combine mechanical, electrical, optical, or fluidic elements on a common microfabricated substrate to create sensors, actuators, and microsystems. The series, authored by leading MEMs practitioners, strives to provide a framework where basic principles, known methodologies and new applications are integrated in a coherent and consistent manner." STEPHEN D. SENTURIA Massachusetts Institute of Technology, Professor of Electrical Engineering, Emeritus

Differentiable periodic maps

Author : Pierre E. Conner
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)

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Book Synopsis Differentiable periodic maps by : Pierre E. Conner

Download or read book Differentiable periodic maps written by Pierre E. Conner and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differentiable Periodic Maps

Author : Pierre E. Conner
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (62 download)

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Book Synopsis Differentiable Periodic Maps by : Pierre E. Conner

Download or read book Differentiable Periodic Maps written by Pierre E. Conner and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differentiable Periodic Maps

Author : Pierre Euclide Conner
Publisher : Springer
ISBN 13 : 9783662345801
Total Pages : 0 pages
Book Rating : 4.3/5 (458 download)

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Book Synopsis Differentiable Periodic Maps by : Pierre Euclide Conner

Download or read book Differentiable Periodic Maps written by Pierre Euclide Conner and published by Springer. This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singularities of Differentiable Maps

Author : V.I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 9780817631871
Total Pages : 512 pages
Book Rating : 4.6/5 (318 download)

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Book Synopsis Singularities of Differentiable Maps by : V.I. Arnold

Download or read book Singularities of Differentiable Maps written by V.I. Arnold and published by Springer Science & Business Media. This book was released on 1985-01-01 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... 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).

Differentiable Periodic Maps

Author : Pierre Euclide Conner
Publisher : Springer
ISBN 13 : 9783662343098
Total Pages : 148 pages
Book Rating : 4.3/5 (43 download)

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Book Synopsis Differentiable Periodic Maps by : Pierre Euclide Conner

Download or read book Differentiable Periodic Maps written by Pierre Euclide Conner and published by Springer. This book was released on 1964-01-01 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology of Singular Fibers of Differentiable Maps

Author : Osamu Saeki
Publisher : Springer
ISBN 13 : 3540446486
Total Pages : 146 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Topology of Singular Fibers of Differentiable Maps by : Osamu Saeki

Download or read book Topology of Singular Fibers of Differentiable Maps written by Osamu Saeki and published by Springer. This book was released on 2004-08-30 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume develops a thorough theory of singular fibers of generic differentiable maps. This is the first work that establishes the foundational framework of the global study of singular differentiable maps of negative codimension from the viewpoint of differential topology. The book contains not only a general theory, but also some explicit examples together with a number of very concrete applications. This is a very interesting subject in differential topology, since it shows a beautiful interplay between the usual theory of singularities of differentiable maps and the geometric topology of manifolds.

Elements of Differentiable Dynamics and Bifurcation Theory

Author : David Ruelle
Publisher : Elsevier
ISBN 13 : 1483272184
Total Pages : 196 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Elements of Differentiable Dynamics and Bifurcation Theory by : David Ruelle

Download or read book Elements of Differentiable Dynamics and Bifurcation Theory written by David Ruelle and published by Elsevier. This book was released on 2014-05-10 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.

Canadian Journal of Mathematics

Author :
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4./5 ( download)

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Book Synopsis Canadian Journal of Mathematics by :

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1993-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bordism, Stable Homotopy and Adams Spectral Sequences

Author : Stanley O. Kochman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821806005
Total Pages : 294 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Bordism, Stable Homotopy and Adams Spectral Sequences by : Stanley O. Kochman

Download or read book Bordism, Stable Homotopy and Adams Spectral Sequences written by Stanley O. Kochman and published by American Mathematical Soc.. This book was released on 1996 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of lecture notes that were prepared for the graduate course ``Adams Spectral Sequences and Stable Homotopy Theory'' given at The Fields Institute during the fall of 1995. The aim of this volume is to prepare students with a knowledge of elementary algebraic topology to study recent developments in stable homotopy theory, such as the nilpotence and periodicity theorems. Suitable as a text for an intermediate course in algebraic topology, this book provides a direct exposition of the basic concepts of bordism, characteristic classes, Adams spectral sequences, Brown-Peterson spectra and the computation of stable stems. The key ideas are presented in complete detail without becoming encyclopedic. The approach to characteristic classes and some of the methods for computing stable stems have not been published previously. All results are proved in complete detail. Only elementary facts from algebraic topology and homological algebra are assumed. Each chapter concludes with a guide for further study.

Arnold's Problems

Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 9783540206149
Total Pages : 664 pages
Book Rating : 4.2/5 (61 download)

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Book Synopsis Arnold's Problems by : Vladimir I. Arnold

Download or read book Arnold's Problems written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2004-06-24 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research

Encyclopaedia of Mathematics

Author : Michiel Hazewinkel
Publisher : Springer
ISBN 13 : 9400959834
Total Pages : 732 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer. This book was released on 2013-12-20 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Cobordism and Stable Homotopy Groups of Spheres

Author : Douglas C. Ravenel
Publisher : American Mathematical Soc.
ISBN 13 : 082182967X
Total Pages : 418 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Complex Cobordism and Stable Homotopy Groups of Spheres by : Douglas C. Ravenel

Download or read book Complex Cobordism and Stable Homotopy Groups of Spheres written by Douglas C. Ravenel and published by American Mathematical Soc.. This book was released on 2003-11-25 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of its first edition, this book has served as one of the few available on the classical Adams spectral sequence, and is the best account on the Adams-Novikov spectral sequence. This new edition has been updated in many places, especially the final chapter, which has been completely rewritten with an eye toward future research in the field. It remains the definitive reference on the stable homotopy groups of spheres. The first three chapters introduce the homotopy groups of spheres and take the reader from the classical results in the field though the computational aspects of the classical Adams spectral sequence and its modifications, which are the main tools topologists have to investigate the homotopy groups of spheres. Nowadays, the most efficient tools are the Brown-Peterson theory, the Adams-Novikov spectral sequence, and the chromatic spectral sequence, a device for analyzing the global structure of the stable homotopy groups of spheres and relating them to the cohomology of the Morava stabilizer groups. These topics are described in detail in Chapters 4 to 6. The revamped Chapter 7 is the computational payoff of the book, yielding a lot of information about the stable homotopy group of spheres. Appendices follow, giving self-contained accounts of the theory of formal group laws and the homological algebra associated with Hopf algebras and Hopf algebroids. The book is intended for anyone wishing to study computational stable homotopy theory. It is accessible to graduate students with a knowledge of algebraic topology and recommended to anyone wishing to venture into the frontiers of the subject.

Group Actions on Manifolds

Author : Reinhard Schultz
Publisher : American Mathematical Soc.
ISBN 13 : 0821850385
Total Pages : 586 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Group Actions on Manifolds by : Reinhard Schultz

Download or read book Group Actions on Manifolds written by Reinhard Schultz and published by American Mathematical Soc.. This book was released on 1985 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an understanding of the sorts of problems one studies in group actions and the methods used to study such problems. This book features articles based upon lectures at the 1983 AMS-IMS-SIAM Joint Summer Research Conference, Group Actions on Manifolds, held at the University of Colorado.

Proceedings of the Second Conference on Compact Transformation Groups. University of Massachusetts, Amherst, 1971

Author : H. T Ku
Publisher : Springer
ISBN 13 : 3540380639
Total Pages : 465 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Proceedings of the Second Conference on Compact Transformation Groups. University of Massachusetts, Amherst, 1971 by : H. T Ku

Download or read book Proceedings of the Second Conference on Compact Transformation Groups. University of Massachusetts, Amherst, 1971 written by H. T Ku and published by Springer. This book was released on 2006-11-15 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Conference on Transformation Groups

Author : P. S. Mostert
Publisher : Springer Science & Business Media
ISBN 13 : 3642461417
Total Pages : 470 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Proceedings of the Conference on Transformation Groups by : P. S. Mostert

Download or read book Proceedings of the Conference on Transformation Groups written by P. S. Mostert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings contain articles based on the lectures and in formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.