Based on an honors course taught by the author at UC Berkeley, this introduction to undergraduate real analysis gives a different emphasis by stressing the importance of pictures and hard problems. Topics include: a natural construction of the real numbers, four-dimensional visualization, basic point-set topology, function spaces, multivariable calculus via differential forms (leading to a simp…
This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. In this second edition, the text has been reorganized for didactic purposes, new exercises have been added and basic theory has been expanded. General Markov dependent sequences and their convergence to equilibrium is the subject of an ent…
This volume explores the role of territory in the creation, maintenance and extension of a new type of frontier, the electronic frontier, from a social and economic point of view. It departs from the earlier concepts of borders – state, social, economic, ethnic, religious, etc. – to investigate the fluidity of borders and their shift towards an axis-based paradigm within the free-movement …