Assuming only calculus and linear algebra, this book introduces the reader in a technically complete way to measure theory and probability, discrete martingales, and weak convergence.
This is a self-contained textbook of the theory of Besov spaces and Triebel-Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis.
Diese Einführung besticht durch zwei ungewöhnliche Aspekte: Sie gibt einen Einblick in die Mathematik als Bestandteil unserer Kultur und sie vermittelt die Hintergründe der Mathematik vom Schulstoff ausgehend bis zum Niveau von Mathematikvorlesungen im ersten Studienjahr.
This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications.
Questo libro presenta le basi dell'Analisi Matematica, coprendo il programma dei primi due anni di un corso di studi universitario, dai numeri naturali fino al Teorema di Stokes-Cartan.
For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications.
While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light.
