Bøger udgivet af Birkhauser Boston Inc

The book is based on my lecture notes "Infinite dimensional Morse theory and its applications", 1985, Montreal, and one semester of graduate lectures delivered at the University of Wisconsin, Madison, 1987.

This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics.

"...the text is user friendly to the topics it considers and should be very accessible...Instructors and students of statistical measure theoretic courses will appreciate the numerous informative exercises; All in all, the text should make a useful reference for professionals and students."-The Journal of the American Statistical Association

Since railroad trains cannot climb steep grades and tunnels through these mountains are almost formidable, the Canadian Pacific Railroad searched for a mountain pass providing the lowest grade for its tracks. The author has observed many mountain passes in the Rocky Mountains and Alps.

In the spring of 1987, I was in Havana, Cuba, where I was participating in planning a large-scale longitudinal study of the neurophysiological, neurochemical, and behavioral characteristics of cohorts of patients with cerebrovascular disease, depression, senile dementia, schizophrenia, or learning disabilities;

Provides an overview of existing and original material, about what mathematics when allied with Mathematica can do for finance. This title includes sophisticated theories that are presented systematically in a user-friendly style, and a powerful combination of mathematical rigor and Mathematica programming.

This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program.

Virtually every advanced engi neering system we come in contact with these days depends upon some form of sampling and digital signal processing. Our observation of the existing literature is that the underlying continuous-time system is usually forgotten once the samples are tak en.

By its nature, set theory does not depend on any previous mathematical knowl edge. Von Neumann's 'inner model' proof is easy to grasp and yet it prepares one for the famous and more difficult work of GOdel and Cohen, which are the main topics of any book or course in set theory at the next level.

Overview The subject of partial differential equations has an unchanging core of material but is constantly expanding and evolving. In addition to the basic core subjects, I have included material on nonlinear problems and brief discussions of numerical methods.

Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design of control systems. Algebraic geometry may, in an elementary way, be viewed as the study of the structure and properties of the solutions of systems of algebraic equations.

This work presents a modern approach to a remarkable algebraic technique. It should be of interest to both the mathematical historian and the working specialist in commutative algebra, number theory and algebraic geometry.