Number Theory And Analysis

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground.

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues. Over the course of his career, Lang traversed a tremendous amount of mathematical ground. As he moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the theory of negatively curved spaces.

by Peter A. Loeb (Editor), Manfred P. H. Wolff (Editor)
Presents the version of nonstandard analysis that has had the greatest success and the widest scope of applications
Includes some of the most recent applications in various fields of mathematical analysis and probability
Each chapter, covering a different application of nonstandard analysis, begins with a gentle introduction for the non-expert

This concise monograph in probability by Mark Kac, a well-known mathematician, presumes a familiarity with Lebesgue's theory of measure and integration, the elementary theory of Fourier integrals, and the rudiments of number theory. Readers may then follow Dr. Kac's attempt "to rescue statistical independence from the fate of abstract oblivion by showing how in its simplest form it arises in various contexts cutting across different mathematical disciplines."

by Piernicola Bettiol (Editor), Piermarco Cannarsa (Editor), Giovanni Colombo (Editor), Monica Motta (Editor), Franco Rampazzo (Editor)
Combines geometrical and analytical approaches to Control Theory and its Applications
Provides the state of the art of the research in the area of Control Theory
Contains high quality papers written by top level experts in the area of Control Theory