Introduction to Fourier Analysis on Euclidean Spaces
The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
Local Cohomology: An Algebraic Introduction with Geometric ApplicationsThis book provides a careful and detailed algebraic introduction to Grothendieck's local cohomology theory, and illustrates many applications for the theory in commutative algebra and in the geometry of quasi-affine and quasi-projective varieties. Topics covered include Castelnuovo-Mumford regularity, the Fulton-Hansen connectedness theorem for projective varieties, and connections between local cohomology and both reductions of ideals and sheaf cohomology.
Pseudo Differential Operators & Markov Processes, Volume I
Volume 1: Fourier Analysis and Semigroups. Handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one parameter operator semigroups with emphasis on Feller semigroups and Lp-sub-Markovian semigroups. In addition, Dirichlet forms are treated.
. . .Hooke writes in a charming, relaxed style that is well suited for his purpose. ---Journal of the American Statistical Association . . .What Hooke has done very deftly in his amusing book is to focus our attention on the problem of statistical education for the ordinary citizen. For this, we own him thanks. ---The American Mathematical Monthly . . .Each essay has one thought-provoking idea, and the overall effect is to convey a splendid qualitative understanding of the important ideas of statistics. ---Mathematics Magazine
Children arrive in their science classrooms with their own ideas and interpretations of the phenomena they are to study even when they have received no systematic instruction in these subjects whatsoever. These ideas and interpretations are a natural result of everyday experience - of practical physical activities, of talking with other people, and of the media. This book documents and explores the ideas of school students (aged 10-16) about a range of natural phenomena such as light, heat, force and motion, the structure of matter and electricity.
