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"An excellent up-to-date introduction to the theory of groups. It
is general yet comprehensive, covering various branches of group
theory. The 15 chapters contain the following main topics: free
groups and presentations, free products, decompositions, Abelian
groups, finite permutation groups, representations of groups,
finite and infinite soluble groups, group extensions,
generalizations of nilpotent and soluble groups, finiteness
properties."... more...

ESSENTIALS OF COLLEGE PHYSICS is a streamlined version of Serway's
market-leading College Physics text, using the same clear and
logical presentation of the concepts and principles but providing a
slimmer and more affordable alternative for instructors looking to
focus on the core concepts. By integrating the guiding principles
of physics education research and including unique just-in-time
quantitative problem-solving features, the text strikes a... more...

The author of this book was Professor of Theoretical Physics at the
University of Belgrade. The book is based on lectures he gave there
to both undergraduate and postgraduate students over a period of
several decades. It sets out to explain Linear Algebra from its
fundamentals to the most advanced level. A special feature of this
book is its didactical approach, with a myriad of thoroughly worked
examples and excellent illustrations, which allows the... more...

The FUNDAMENTALS OF MATHEMATICS, Tenth Edition, offers a
comprehensive and objectives-based review of all basic mathematics
concepts. The author helps learners by addressing three important
needs: 1) establishing good study habits and overcoming math
anxiety, 2) making the connections between mathematics and their
modern, day-to-day activities, and 3) being paced and challenged
according to their individual level of understanding. The clear
exposition... more...

The theory of elliptic curves involves a blend of algebra,
geometry, analysis, and number theory. This book stresses this
interplay as it develops the basic theory, providing an opportunity
for readers to appreciate the unity of modern mathematics. The
book’s accessibility, the informal writing style, and a wealth of
exercises make it an ideal introduction for those interested in
learning about Diophantine equations and arithmetic geometry.

The development of new computational techniques and better
computing power has made it possible to attack some classical
problems of algebraic geometry. The main goal of this book is to
highlight such computational techniques related to algebraic
curves. The area of research in algebraic curves is receiving more
interest not only from the mathematics community, but also from
engineers and computer scientists, because of the importance of
algebraic... more...

The central theme of this book is the solution of Diophantine
equations, i.e., equations or systems of polynomial equations which
must be solved in integers, rational numbers or more generally in
algebraic numbers. This theme, in particular, is the central
motivation for the modern theory of arithmetic algebraic geometry.
In this text, this is considered through three of its most basic
aspects. The book contains more than 350 exercises and the text is... more...

The problems are systematically arranged to reveal the evolution of
concepts and ideas of the subject Includes various levels of
problems - some are easy and straightforward, while others are more
challenging All problems are elegantly solved

This upper-level undergraduate textbook provides a modern view of
algebra with an eye to new applications that have arisen in recent
years. A rigorous introduction to basic number theory, rings,
fields, polynomial theory, groups, algebraic geometry and elliptic
curves prepares students for exploring their practical applications
related to storing, securing, retrieving and communicating
information in the electronic world. It will serve as a textbook... more...