Background
Nitecki, Zbigniew Henry was born on May 12, 1946 in Plymouth, United Kingdom. Son of Joseph Zbigniew and Zofia Nitecki. came to the United States, 1950.
(The subject of differentiable dynamical systems in the fo...)
The subject of differentiable dynamical systems in the form recently developed by the group of mathematicians associated with S. Smale and M. Peixoto in the United States and with Ja. Sinai and D. Asonov in the Soviet Union is evoking great interest among this generation's mathematicians. Specialists teaching courses in this field as well as nonexperts interested in a comprehensive introduction should welcome Differentiable Dynamics, the first work to collect and explain in detail a wide selection of results and techniques which have formerly been scattered in the primary literature. Approaching this literature directly can, moreover, be somewhat treacherous since a number of obsolete results are embedded within it. In this regard, it is worth noting that one expert in this area who examined the book in manuscript wrote, "Nitecki has it seems to me made an admirable choice of material—both in what he has put in and what he has left out." Some of this material is so recent that at present it exists only in preprint form. The book has already proved itself from the standpoint of text use; it derives from a set of lecture notes prepared by the author for a graduate course in dynamical systems he conducted at Yale. Beyond the seminar room, mathematicians generally working in the area of topology and global analysis should find it a useful reference for the recent work in dynamics on manifolds. The book begins with an introduction to the Smale program and philosophy and goes on to give a detailed account of the subject, developing it from the simple case of the circle since all the topological complications of higher dimensions are absent but all the essential features of the subject are clearly visible. With this preparation, the student is able to proceed to the inherently difficult "horseshoe example" and its relation to symbolic dynamics. Differentiable Dynamics consists of the following chapters: Introduction: Flows and Diffeomorphisms—Preliminaries—The Circle—Periodic Points—Anosov Diffeomorphisms—The Horseshoe—Hyperbolic Sets—The Ω-Stability Theorem—A Survey of Recent Work.
http://www.amazon.com/gp/product/0262140098/?tag=2022091-20
(This text suitable for math, science, and engineering maj...)
This text suitable for math, science, and engineering majors, treats standard elementary topics such as undetermined coefficients, systems of differential equations, substitutions and chemical reactions.
http://www.amazon.com/gp/product/0030625025/?tag=2022091-20
(This comprehensive text suitable for math, science, and e...)
This comprehensive text suitable for math, science, and engineering majors, treats standard elementary topics such as undetermined coefficients, systems of differential equations, substitutions and chemical reactions. Students benefit from the conceptual approach, motivated by detailed physical and mathematical examples. Previous exposure to linear algebra or vectors is not assumed: all necessary linear algebra techniques are introduces as needed with respect to systems of differential equations. Early and consistent notation emphasizes the characteristic polynomial, suggests shortcuts such as the exponential shift, and leads to a natural, unified understanding of undetermined coefficients. Expanded treatment of the qualitative theory of linear systems, especially as applied to nonlinear systems, includes new sections on Interacting Populations, Constants of Motion, Lyapunov Functions, and Limit Cycles and Chaos. BASIC computer programs on approximation algorithms illustrate the use of technology in numerical methods.
http://www.amazon.com/gp/product/0030728789/?tag=2022091-20
Nitecki, Zbigniew Henry was born on May 12, 1946 in Plymouth, United Kingdom. Son of Joseph Zbigniew and Zofia Nitecki. came to the United States, 1950.
Bachelor of Science, University of Chicago, 1965; Master of Arts, Doctor of Philosophy, University of California, Berkeley, 1969.
Gibbs instructor, Yale University, New Haven, 1969-1971; assistant professor, CUNY, 1971-1972; assistant professor, Tufts U., Medford, Massachusetts, 1972-1975; associate professor, Tufts U., Medford, Massachusetts, 1975-1980; professor mathematics, Tufts U., Medford, Massachusetts, since 1980. Program director for geometric analysis National Science Foundation, Washington, 1982-1983.
(This comprehensive text suitable for math, science, and e...)
(This text suitable for math, science, and engineering maj...)
(The subject of differentiable dynamical systems in the fo...)
(Book by Martin M.Guterman, Zbigniew H. Nitecki)
Member American Mathematics Society, Society for Industrial and Applied Mathematics.
Married Alicia Korzeniowska, March 25, 1972. 1 child, Elizabeth Lauren.