"The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequaliti…
From April 2009 until March 2016, the German Science Foundation supported generously the Priority Program SPP 1388 in Representation Theory. The core principles of the projects realized in the framework of the priority program have been categorification and geometrization, this …
PROPs and their variants are extremely general and powerful machines that encode operations with multiple inputs and multiple outputs. In this respect PROPs can be viewed as generalizations of operads that would allow only a single output. Variants of PROPs are important in seve…
by Ismar Volic, Brian A. Munson, Pascal Lambrechts, Brenda Johnson, Gregory Arone
by Goswami, Debashish, Bhowmick, Jyotishman
fromInfosys Science Foundation Series
"Over the past 20 years, the emergence of clone theory, hyperequational theory, commutator theory and tame congruence theory has led to a growth of universal algebra both in richness and in applications, especially in computer science. Yet most of the classic books on the subjec…
"Every intermediate algebra lesson, example, and practice problem you need in a single, easy-to-use reference. Algebra II can be a tough nut to crack when you first meet it. But with the right tools... well, she's still tough but she gets a heckuva lot easier to manage. In Algeb…
by Andreescu, Titu, Saul, Mark E.
fromMSRI mathematical circles library
Groups /Matt Clay and Dan Margalit --... and spaces /Matt Clay and Dan Margalit --Groups acting on trees /Dan Margalit --Free groups and folding /Matt Clay --The ping-pong lemma /Johanna Mangahas --Automorphisms of free groups /Matt Clay --Quasi-isometries /Dan Margalit and Anne…
This book is concerned with the Riemann Zeta Function, its generalizations, and various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis and Probability Theory. Eminent experts in the field illustrate both old …
This volume presents a collection of articles devoted to representations of algebras and related topics. Dististinguished experts in this field presented their work at the International Conference on Representations of Algebras which took place 2012 in Bielefeld. Many of the exp…
"Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to…
Intermediate Algebra is designed to meet the scope and sequence requirements of a one-semester Intermediate algebra course. The book's organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the…
"This volume consists of nine lectures on selected topics of Lie group theory. We provide the readers a concise introduction as well as a comprehensive "tour of revisiting" the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl on structural and classification theo…
by Lay, David C., Lay, Steven R., McDonald, Judith
fromAlways learning
For courses in linear algebra. With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructo…