Eine verständliche und vollständige Einführung in die Mengentheoretische Topologie, die als Begleittext zu einer Vorlesung, aber auch zum Selbststudium für Studenten ab dem 3.
Symmetrie hat in der Mechanik schon immer eine große Rolle gespielt - von der grundlegenden Formulierung elementarer Theorien bis hin zu konkreten Anwendungen.
This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form.
The first part of this book provides an elementary and self-contained exposition of classical Galois theory and its applications to questions of solvability of algebraic equations in explicit form.
Dieses Lehrbuch führt in die Theorie der Lie-Gruppen ein und ist ein unverzichtbares Werkzeug in der Quantenmechanik, bei den Eichtheorien und der Quantenchromodynamik.
Das vorliegende Buch ist aus der Intention entstanden, einen Kursus der Gruppen theorie zu entwerfen, der als Grundlage für alle Kurse aus dem Bereich der Algebra dienen kann.
This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups.
This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds.
Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes.
This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America.
The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on ways to represent such processes in the spirit of the classical Levy-Khinchin representation.
This volume examines mathematics as a product of the human mind and analyzes the language of "e;pure mathematics"e; from various advanced-level sources.
This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based.
This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises).
Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory.
This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "e;Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory"e;, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016.
This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "e;Automorphic Forms and L-Functions"e;, held at the University of Heidelberg in 2016.
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory.
This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic.
This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations.