We investigate GIT quotients of polarized curves. More
specifically, we study the GIT problem for the Hilbert and Chow
schemes of curves of degree d and genus g in a projective space
of dimension d-g, as d decreases with respect to g. We prove that
the first three values of d at which the GIT quotients change are
given by d=a(2g-2) where a=2, 3.5, 4. We show that, for a>4,
L. Caporaso's results hold true for both Hilbert and Chow... more...

This book teaches the art of writing mathematics, an essential
-and difficult- skill for any mathematics student.
The book begins with an informal introduction on basic writing
principles and a review of the essential dictionary for
mathematics. Writing techniques are developed gradually, from the
small to the large: words, phrases, sentences, paragraphs, to end
with short compositions. These may represent the introduction of
a... more...

With an emphasis on real-world math applications, the Sixth Edition
of INTRODUCTORY TECHNICAL MATHEMATICS provides readers with current
and practical technical math applications for today's sophisticated
trade and technical work environments. Straightforward and easy to
understand, this hands-on book helps readers build a solid
understanding of math concepts through step-by-step examples and
problems drawn from various occupations. Updated to include... more...

Introduction to Statistics in Psychology, 5th edition is the comprehensive, straightforward and essential student guide to understanding statistics and carrying out statistical analyses in psychology. Revised and updated throughout, the text offers clear and detailed coverage of the statistical methods used by psychologists. Key aspects of the process are highlighted throughout the text in special sections: *'Research Design Issues' offers advice and... more...

This book provides a broad-ranging, but detailed overview of the basics of Fuzzy Logic. The fundamentals of Fuzzy Logic are discussed in detail, and illustrated with various solved examples. The book also deals with applications of Fuzzy Logic, to help readers more fully understand the concepts involved. Solutions to the problems are programmed using MATLAB 6.0, with simulated results. The MATLAB Fuzzy Logic toolbox is provided for easy reference.

First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical terminology and notation.

Calculus II: The Integral and Its Applications uniquely addresses
all of the rules and applications of Integral Calculus necessary
for the AP Calculus AB and BC courses. In addition, units are
included on power series and convergence, and the calculus of
parametric and polar equations. The material is presented in a
modular format that allows great flexibility for the student and
teacher. The lessons are designed to be rigorous enough for the
serious... more...

Discover how statistical methods and tools are vital for today's
managers as you learn how to apply these tools to real business
problems. STATISTICS FOR MANAGEMENT AND ECONOMICS, 11E emphasizes
applications over calculation using a proven three-step "ICI"
approach to problem solving. You learn how to IDENTIFY the correct
statistical technique by focusing on the problem objective and data
type; how to COMPUTE the statistics by hand or using Excel or... more...

Building on the foundations laid in the companion text Modern
Engineering Mathematics, this book gives an extensive treatment of
some of the advanced areas of mathematics that have applications in
various fields of engineering, particularly as tools for
computer-based system modelling, analysis and design. The
philosophy of learning by doing helps students develop the ability
to use mathematics with understanding to solve engineering
problems. A wealth... more...

This book offers an introduction to applications prompted by
tensor analysis, especially by the spectral tensor theory
developed in recent years. It covers applications of tensor
eigenvalues in multilinear systems, exponential data fitting,
tensor complementarity problems, and tensor eigenvalue
complementarity problems. It also addresses higher-order
diffusion tensor imaging, third-order symmetric and traceless
tensors in liquid... more...