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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...

As in previous editions, the focus in BASIC COLLEGE MATHEMATICS
remains on the Aufmann Interactive Method (AIM). Students are
encouraged to be active participants in the classroom and in their
own studies as they work through the How To examples and the paired
Examples and You Try It problems. Student engagement is crucial to
success. Presenting students with worked examples, and then
providing them with the opportunity to immediately solve similar... more...

One of the masters in the differential equations community, the
late F.V. Atkinson contributed seminal research to multiparameter
spectral theory and Sturm-Liouville theory. His ideas and
techniques have long inspired researchers and continue to
stimulate discussion. With the help of co-author Angelo B.
Mingarelli, Multiparameter Eigenvalue Problems:
Sturm-Liouville Theory reflects much of Dr. Atkinson’s
final work.
After... more...

The cornerstone of ELEMENTARY LINEAR ALGEBRA is the authors' clear,
careful, and concise presentation of material--written so that
readers can fully understand how mathematics works. This program
balances theory with examples, applications, and geometric
intuition for a complete, step-by-step learning system. Featuring a
new design that highlights the relevance of the mathematics and
improves readability, the Seventh Edition also incorporates new... more...

By focusing on quadratic numbers, this advanced undergraduate or
master’s level textbook on algebraic number theory is accessible
even to students who have yet to learn Galois theory. The
techniques of elementary arithmetic, ring theory and linear
algebra are shown working together to prove important theorems,
such as the unique factorization of ideals and the finiteness of
the ideal class group. The book concludes with two... more...

The main emphasis of this revised algebra textbook is on fields,
rings and modules. The text includes new chapters on the
representative theory of finite groups, coding theory and algebraic
language theory. Sets, lattices, categories and graphs are
introduced at the beginning of the text. The text, which has been
rewritten with the aim of making the subject easier to grasp,
contains simplified proofs and many new illustrations and
exercises.