Geometry and Analysis in Nonlinear Dynamics (Research Notes in Mathematics Series)

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Published **April 1990**
by Addison Wesley Publishing Company .

Written in English

- Analytic geometry,
- Calculus & mathematical analysis,
- Topology,
- Science,
- Nonlinear Operators,
- Science/Mathematics,
- Mechanics - Dynamics - General,
- Dynamics,
- Bifurcation theory,
- Chaotic behavior in systems,
- Nonlinear theories

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 134 |

ID Numbers | |

Open Library | OL7879529M |

ISBN 10 | 0582060818 |

ISBN 10 | 9780582060814 |

Browse Book Reviews. Displaying 1 - 10 of Filter by topic Functional Analysis, Nonlinear Analysis, Textbooks. Change is the Only Constant. Ben Orlin. Calculus, Mathematics for the General Reader. Derived Categories. Amnon Yekutieli. Category Theory. nonlinear dynamics 1 & 2: geometry of chaos. An advanced introduction to nonlinear dynamics, with emphasis on methods used to analyze chaotic dynamical systems encountered in science and engineering. Nonlinear analysis has played a prominent role in the recent developments in geometry and topology. The study of the Yang-Mills equation and its cousins gave rise to the Donaldson invariants and Author: Gang Tian. Geometrically nonlinear problems are often strongly nonlinear, and you need to consider that when supplying settings for the solver. Think of the beam with the fixed end mentioned above. When solving the nonlinear problem, the solution after the first iteration will be the same as the solution to the linear problem so that all points on the.

This is a good book devoted to nonlinear ed to Vidyasagar's book, this book has more mathematical rigour, therefore, to follow it you should have a good Calculus/Linear Algebra /Analysis background (I recommend to have good books of these subjects while readingFile Size: KB. tions, the nonlinear dynamics of interacting molecular spe- cies is combined with their diffusion, giving rise to a reaction – diffusion system mapped to arbitrary geometry. fractals, with wonderfully seductive examples and problem sets. The book would also serve well for higher level courses. I would love to teach out —Arthur T. Winfree, University of Arizona, and author of of it." When Time Breaks Down and The Geometry of Biological Time is an exceptionally well Nonlinear Dynamics and Chaos Oteven Strogatz'sFile Size: 5MB. Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists J. M. T. Thompson, FRS, University College, London H. B. Stewart, Brookhaven National Laboratory This book is the first comprehensive, systematic account of nonlinear dynamics and chaos, one of the fastest-growing disciplines of applicable mathematics. It is highly illustrated and written in a .

Analysis, Geometry, and Modeling in Finance: Advanced Methods in Option Pricing is the first book that applies advanced analytical and geometrical methods used in physics and mathematics to the financial field. It even obtains new results when only approximate and partial solutions were previously by: Abstract. In this introductory chapter we present the basic framework and approach for the remainder of the book. We are concerned with the processes that operate during the deformation and metamorphism of the rocks that comprise the crust and uppermost mantle of the Earth and the mechanical principles that govern the behaviour and resulting geometry of these rocks. Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater Cited by: This book comprehensively presents topics, such as bra-ket notation, tensor analysis and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations .

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