Description 
xviii, 357 p. : ill. ; 22 cm. 
Series 
Carus mathematical monographs ; no. 31.

Contents 
Background ideas and knowledge  Irrational numbers and dynamical systems  Probability and randomness  Recurrence  Averaging in time and space. 
Bibliography 
Includes bibliographical references and indexes. 
Summary 
Randomness and Recurrence in Dynamical Systems makes accessible, at the undergraduate or beginning graduate level, results and ideas on averaging, randomness and recurrence that traditionally require measure theory. Assuming only a background in elementary calculus and real analysis, new techniques of proof have been developed, and known proofs have been adapted, to make this possible. The book connects the material with recent research, thereby bridging the gap between undergraduate teaching and current mathematical research. The various topics are unified by the concept of an abstract dynamical system, so there are close connections with what may be termed 'Probabilistic Chaos Theory' or 'Randomness'. The work is appropriate for undergraduate courses in real analysis, dynamical systems, random and chaotic phenomena and probability. It will also be suitable for readers who are interested in mathematical ideas of randomness and recurrence, but who have no measure theory background. Source other than Library of Congress. 
Subject 
Differentiable dynamical systems.


Measure theory.

ISBN 
0883850435 

9780883850435 
OCLC number 
653403626 
