Introductory Statistics for the Health Sciences
takes students on a journey to a wilderness where science
explores the unknown, providing students with a strong, practical
foundation in statistics. Using a color format throughout, the
book contains engaging figures that illustrate real data sets
from published research. Examples come from many areas of the
health sciences, including medicine, nursing, pharmacy,
dentistry, and physical... more...

Praise for the First Edition
". . . fills a considerable gap in the numerical analysis
literature by providing a self-contained treatment . . . this is
an important work written in a clear style . . . warmly
recommended to any graduate student or researcher in the field of
the numerical solution of partial differential equations."
—SIAM Review
Time-Dependent Problems and Difference Methods, Second
Edition continues to provide... more...

An accessible and up-to-date treatment featuring the connection
between neural networks and statistics
A Statistical Approach to Neural Networks for Pattern Recognition
presents a statistical treatment of the Multilayer Perceptron
(MLP), which is the most widely used of the neural network
models. This book aims to answer questions that arise when
statisticians are first confronted with this type of model, such
as:
How robust is the... more...

The representation theory of the symmetric groups is a classical
topic that, since the pioneering work of Frobenius, Schur and
Young, has grown into a huge body of theory, with many important
connections to other areas of mathematics and physics. This
self-contained book provides a detailed introduction to the
subject, covering classical topics such as the
Littlewood-Richardson rule and the Schur-Weyl duality. Importantly
the authors also present many... more...

This nine-chapter monograph introduces a rigorous
investigation of q-difference operators in standard and
fractional settings. It starts with elementary calculus of
q-differences and integration of Jackson’s type before turning to
q-difference equations. The existence and uniqueness theorems are
derived using successive approximations, leading to systems of
equations with retarded arguments. Regular q-Sturm–Liouville
theory is also... more...

This text deals with A1-homotopy theory over a base field, i.e.,
with the natural homotopy theory associated to the category of
smooth varieties over a field in which the affine line is imposed
to be contractible. It is a natural sequel to the foundational
paper on A1-homotopy theory written together with V. Voevodsky.
Inspired by classical results in algebraic topology, we present new
techniques, new results and applications related to the properties... more...

To date, the theoretical development of q-calculus has rested on a
non-uniform basis. Generally, the bulky Gasper-Rahman notation was
used, but the published works on q-calculus looked different
depending on where and by whom they were written. This confusion of
tongues not only complicated the theoretical development but also
contributed to q-calculus remaining a neglected mathematical field.
This book overcomes these problems by introducing a new... more...

The primary goal of this text is to present the theoretical
foundation of the field of Fourier analysis. This book is mainly
addressed to graduate students in mathematics and is designed to
serve for a three-course sequence on the subject. The only
prerequisite for understanding the text is satisfactory completion
of a course in measure theory, Lebesgue integration, and complex
variables. This book is intended to present the selected topics in
some... more...

Statisticians and experimentalists will find the latest trends in optimal experimental design research. Some papers are pioneering contributions, leading to new open research problems. It is a colection of peer reviewed papers.

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods. Indeed, the area is an expanding source for novel and relevant "real-world" mathematics. In this book, the authors describe the modeling of financial derivative products from an applied mathematician's... more...