Probability, Random Processes, and Ergodic Properties
This book has a long history. It began over two decades ago as the first half of a book on information and ergodic theory. The intent was and remains to provide a reasonably self-contained advanced (at least for engineers) treatment of measure theory, probability theory, and random processes, with an emphasis on general alphabets and on ergodic...
Philosophy of Mathematics (Handbook of the Philosophy of Science)
One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are...
Discrete Mathematics for Computer Scientists
Many colleges and universities offer a course in discrete mathematics. Students
taking these courses are from many disciplines, one of the largest
being computer science. As a part of the Mathematics Across the Curriculum
project at Dartmouth, supported by the National Science Foundation,1
we proposed to create a discrete mathematics...
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