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Ausgehend von einer grundlegenden Einführung in Begriffe und
Methoden der Algebra werden im Buch die wesentlichen Ergebnisse
dargestellt und ein Einblick in viele Entwicklungen innerhalb der
Algebra gegeben, die mit anderen Gebieten der Mathematik stark
verflochten sind.
Beginnend mit Begriffsbildungen wie Gruppe und Ring führt das
Buch hin zu den Körpererweiterungen und der Galoistheorie. Danach
werden zentrale Teile der Theorie... more...

Presents up-to-date Banach space results.
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductory
material.

This book consists of three parts, rather different in level and
purpose. The first part was originally written for quantum
chemists. It describes the correspondence, due to Frobenius,
between linear representations and characters. The second part is
a course given in 1966 to second-year students of l’Ecole
Normale. It completes in a certain sense the first part. The
third part is an introduction to Brauer Theory.

Since they first arose in the 1970s and early 1980s, quantum groups
have proved to be of great interest to mathematicians and
theoretical physicists. This book gives a comprehensive view of
quantum groups and their applications. The authors build on a
self-contained account of the foundations of the subject and go on
to treat the more advanced aspects concisely and with detailed
references to the literature. Researchers in mathematics and
theoretical... more...

Designed to acquaint students of particle physics already
familiar with SU(2) and SU(3) with techniques applicable to all
simple Lie algebras, this text is especially suited to the
study of grand unification theories. Subjects include simple
roots and the Cartan matrix, the classical and exceptional Lie
algebras, the Weyl group, and more. 1984 edition.

This volume is targeted at theoretical physicists, mathematical
physicists and mathematicians working on mathematical models for
physical systems based on symmetry methods and in the field of Lie
theory understood in the widest sense. It includes contributions on
Lie theory, with two papers by the famous mathematician Kac (one
paper with Bakalov), further papers by Aoki, Moens. Some other
important contributions are in: field theory - Todorov, Grosse,... more...

This is the first book on Abelian Group Theory (or Group Theory) to
cover elementary results in Abelian Groups. It contains
comprehensive coverage of almost all the topics related to the
theory and is designed to be used as a course book for students at
both undergraduate and graduate level. The text caters to students
of differing capabilities by categorising the exercises in each
chapter according to their level of difficulty starting with simple... more...

If you have not heard about cohomology, The Heart of Cohomology may
be suited for you. The book gives Fundamental notions in cohomology
for examples, functors, representable functors, Yoneda embedding,
derived functors, spectral sequences, derived categories are
explained in elementary fashion. Applications to sheaf cohomology.
In addition, the book examines cohomological aspects of D-modules
and of the computation of zeta functions of the Weierstrass... more...

Larson's TRIGONOMETRY is known for delivering sound, consistently
structured explanations and exercises of mathematical concepts.
With the ninth edition, the author continues to revolutionize the
way students learn material by incorporating more real-world
applications, ongoing review, and innovative technology. How Do You
See It? exercises give students practice applying the concepts, and
new Summarize features, Checkpoint problems, and a Companion... more...