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The main theme of this book is the theory of heights as they appear
in various guises. This includes a large body of results on Mahlers
measure of the height of a polynomial. The authors'approach is very
down to earth as they cover the rationals, assuming no prior
knowledge of elliptic curves. The chapters include examples and
particular computations, with all special calculation included so
as to be self-contained. The authors devote space to... more...

Although ideas from quantum physics play an important role in
many parts of modern mathematics, there are few books about
quantum mechanics aimed at mathematicians. This book introduces
the main ideas of quantum mechanics in language familiar to
mathematicians. Readers with little prior exposure to physics
will enjoy the book's conversational tone as they delve into such
topics as the Hilbert space approach to quantum theory; the... more...

Differential algebraic groups were introduced by P. Cassidy and E.
Kolchin and are, roughly speaking, groups defined by algebraic
differential equations in the same way as algebraic groups are
groups defined by algebraic equations. The aim of the book is
two-fold: 1) the provide an algebraic geometer's introduction to
differential algebraic groups and 2) to provide a structure and
classification theory for the finite dimensional ones. The main
idea of... more...

Master Math: Trigonometry is written for students, teachers,
tutors, and parents, as well as for scientists and engineers who
need to look up principles, definitions, explanations of concepts,
and examples pertaining to the field of trigonometry. Trigonometry
is a visual and application-oriented field of mathematics that was
developed by early astronomers and scientists to understand, model,
measure, and navigate the physical world around them.

CONTEMPORARY ABSTRACT ALGEBRA, EIGHTH EDITION provides a solid
introduction to the traditional topics in abstract algebra while
conveying to students that it is a contemporary subject used daily
by working mathematicians, computer scientists, physicists, and
chemists. The text includes numerous figures, tables, photographs,
charts, biographies, computer exercises, and suggested readings
giving the subject a current feel which makes the content... more...

Accessible to students and flexible for instructors, College
Algebra, Sixth Edition, uses the dynamic link between concepts and
applications to bring mathematics to life. By incorporating
interactive learning techniques, the Aufmann team helps students to
better understand concepts, work independently, and obtain greater
mathematical fluency. The text also includes technology features to
accommodate courses that allow the option of using graphing... more...

Originally published in 1985, this classic textbook is an English
translation of Einführung in die kommutative Algebra und
algebraische Geometrie. As part of the Modern Birkhäuser
Classics series, the publisher is proud to make Introduction
to Commutative Algebra and Algebraic Geometry available to a
wider audience.
Aimed at students who have taken a basic course in algebra, the
goal of the text is to present important... more...

This book is an introduction to C^*-algebras and their
representations on Hilbert spaces. The presentation is as simple
and concrete as possible; the book is written for a second-year
graduate student who is familiar with the basic results of
functional analysis, measure theory and Hilbert spaces. The author
does not aim for great generality, but confines himself to the
best-known and also to the most important parts of the theory and
the applications.... more...

Traditionally a subject of number theory, continued fractions
appear in dynamical systems, algebraic geometry, topology, and
even celestial mechanics. The rise of computational geometry has
resulted in renewed interest in multidimensional generalizations
of continued fractions. Numerous classical theorems have been
extended to the multidimensional case, casting light on phenomena
in diverse areas of mathematics. This book introduces a... more...

Many books in linear algebra focus purely on getting students
through exams, but this text explains both the how and the why of
linear algebra and enables students to begin thinking like
mathematicians. The author demonstrates how different topics
(geometry, abstract algebra, numerical analysis, physics) make use
of vectors in different ways and how these ways are connected,
preparing students for further work in these areas. The book is
packed with... more...