Some Problems On The Theory Of Dynamical Systems In Applied Sciences - Proceedings Of The Symposium PDF Download
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Author: H Kawakami
Publisher: World Scientific
ISBN: 9814555797
Category :
Languages : en
Pages : 170
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Book Description
This volume adopts a wide and fresh approach to discuss some problems on the theory of dynamical systems in applied sciences.
Author: H Kawakami
Publisher: World Scientific
ISBN: 9814555797
Category :
Languages : en
Pages : 170
Get Book Here
Book Description
This volume adopts a wide and fresh approach to discuss some problems on the theory of dynamical systems in applied sciences.
Author:
Publisher:
ISBN:
Category : Laboratories
Languages : en
Pages : 324
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Book Description
Author: British Library. Document Supply Centre
Publisher:
ISBN:
Category : Conference proceedings
Languages : en
Pages : 696
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Book Description
Author: Ellis Robert Kolchin
Publisher: American Mathematical Soc.
ISBN: 9780821805428
Category : Mathematics
Languages : en
Pages : 660
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Book Description
The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers--in themselves constituting a history of the subject--is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a "new geometry" that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat. Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory.
Author:
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ISBN:
Category : Mathematical physics
Languages : en
Pages : 326
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Book Description
Author: National Science Foundation (U.S.)
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 488
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Book Description
Author: James T. Sandefur
Publisher: Oxford University Press, USA
ISBN:
Category : Mathematics
Languages : en
Pages : 472
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Book Description
This textbook is an elementary introduction to the world of dynamical systems and Chaos. Dynamical systems provide a mathematical means of modeling and analysing aspects of the changing world around us. The aim of this ground-breaking new text is to introduce the reader both to the wide variety of techniques used to study dynamical systems and to their many applications. In particular, investigation of dynamical systems leads to the important concepts of stability, strange attractors, Chaos, and fractals.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 464
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Book Description
Author: Navaratnam Sri Namachchivaya
Publisher: American Mathematical Soc.
ISBN: 0821802577
Category : Mathematics
Languages : en
Pages : 250
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Book Description
This volume contains the proceedings of the International Symposium on Nonlinear Dynamics and Stochastic Mechanics held at the Fields Institute for Research in Mathematical Sciences from August - September (1993), as part of the 1992-93 Program Year on Dynamical Systems and Bifurcation Theory. In recent years, mathematicians and applied scientists have made significant progress in understanding and have developed powerful tools for the analysis of the complex behaviour of deterministic and stochastic dynamical systems. By moving beyond classical perturbation methods to more general geometrical, computational, and analytical methods, this book is at the forefront in transferring these new mathematical ideas into engineering practice. This work presents the solutions of some specific problems in engineering structures and mechanics and demonstrates by explicit example these new methods of solution.
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ISBN:
Category : Engineering
Languages : en
Pages : 486
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Book Description
