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Introduction to Structurally Stable Systems of Differential Equations
1. Flows and Cascades.- 2. Equivalence Relations.- 3. Spaces of Systems of Differential Equations and of Diffeomorphisms.- 4. Hyperbolic Rest Point.- 5. Periodic Point and Closed Trajectory.- 6. Transversality.- 7. The Kupka-Smale Theorem.- 8. The Closing Lemma.- 9. Necessary Conditions for Structural Stability.- 10. Homoclinic Point.- 11. Morse-Smale Systems.- 12. Hyperbolic Sets.- 13. The Analytic Strong Transversality Condition.- Appendix. Proof of the Grobman-Hartman Theorem.- References.
Parsing the Turing Test
An exhaustive work that represents a landmark exploration of both the philosophical and methodological issues surrounding the search for true artificial intelligence. Distinguished psychologists, computer scientists, philosophers, and programmers from around the world debate weighty issues such as whether a self-conscious computer would create an internet ‘world mind’. This hugely important volume explores nothing less than the future of the human race itself.
The Cumulative Book Index
A world list of books in the English language.
Rockets and People Volume I (NASA History Series. NASA Sp-2005-4110)
Much has been written in the West on the history of the Soviet space program, but few Westerners have read direct first-hand accounts of the men and women who were behind the many Russian accomplishments in exploring space. The memoir of academician Boris Chertok, translated from the original Russian, fills that gap. Chertok began his career as an electrician in 1930 at an aviation factory near Moscow. Thirty years later, he was deputy to the founding figure of the Soviet space program, the mysterious "Chief Designer" Sergey Korolev. Chertok's 60-year-long career and the many successes and failures of the Soviet space program constitute the core of his memoirs, Rockets and People. In these w...
Shadowing in Dynamical Systems
This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.
