Peter Sprent / Dundee University, Scotland
Nigel C. Smeeton / Guy's King & St. Thomas School of Medicine, London, UK

Applied Nonparametric Statistical Methods, Fourth Edition

Series: Chapman & Hall/CRC Texts in Statistical Science Series Volume: 71
ISBN: 158488701X
Publication Date: 2/28/2007
Number of Pages: 544

Links nonparametric or distribution-free procedures to other statistical approaches
Provides the latest methodology on censored data and bootstrapping
Covers interactions in factorial structures and multiple comparison tests
Features a range of realistic, worked-out examples from medicine, biology, engineering, and the social sciences
Offers a time-restricted version of StatXact via the book's tear-out response card
Contains numerous end-of-chapter exercises and selected solutions in an appendix
Includes a full solutions manual with qualifying course adoptions

While preserving the clear, accessible style of previous editions, Applied Nonparametric Statistical Methods, Fourth Edition reflects the latest developments in computer-intensive methods that deal with intractable analytical problems and unwieldy data sets.

Reorganized and with additional material, this edition begins with a brief summary of some relevant general statistical concepts and an introduction to basic ideas of nonparametric or distribution-free methods. Designed experiments, including those with factorial treatment structures, are now the focus of an entire chapter. The text also expands coverage on the analysis of survival data and the bootstrap method. The new final chapter focuses on important modern developments, such as large sample methods and computer-intensive applications.

Keeping mathematics to a minimum, this text introduces nonparametric methods to undergraduate students who are taking either mainstream statistics courses or statistics courses within other disciplines. By giving the proper attention to data collection and the interpretation of analyses, it provides a full introduction to nonparametric methods.

Table of contents

Abbas Bahri (Rutgers University, USA)
& Yongzhong Xu (Courant Institute for the Mathematical Sciences, USA)

RECENT PROGRESS IN CONFORMAL GEOMETRY

This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction.
In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.

Contents:

Sign-Changing Yamabe-Type Problems:
General Introduction
Results and Conditions
Conjecture 2 and Sketch of the Proof of Theorem 1
Outline
The Difference of Topology
Open Problems
Preliminary Estimates and Expansions, the Principal Terms
Preliminary Estimates
Proof of the Morse Lemma at Infinity when the Concentrations are Comparable
Proof of the Morse Lemma at Infinity
Contact Form Geometry:
General Introduction
On the Dynamics of a Contact Structure Along a Vector Field of Its Kernel
Appendix 1
The Normal Form of (a, u) Near an Attractive Periodic Orbit of u
Compactness
Transmutations
On the Morse Index of a Functional Arising in Contact Form Geometry
and other chapters

Readership: Researchers seeking new and fresh directions in the field of conformal geometry.

550pp (approx.) Pub. date: Scheduled Spring 2007
ISBN 978-1-86094-772-8
1-86094-772-7

edited by Ursula Carow-Watamura, Satoshi Watamura (Tohoku University, Japan), Yoshiaki Maeda, Hitoshi Moriyoshi (Keio University, Japan)ｸ Zhangju Liu (Peking University, China) & Ke Wu (Capital Normal University, China)

NONCOMMUTATIVE GEOMETRY AND PHYSICS 2005
Proceedings of the International Sendai-Beijing Joint Workshop
Sendai, Japan 1 - 4 November 2005 Beijing, China 7 - 10 November 2005

Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint. It is also providing new tools for the investigation of quantum space釦ime in physics. Recent developments in string theory have supported the idea of quantum spaces, and have strongly stimulated the research in this field. This self-contained volume contains survey lectures and research articles which address these issues and related topics. The book is accessible to both researchers and graduate students beginning to study this subject.

Contents:

Generalized Geometry, Mirror Symmetry and T-Duality (P Bouwknegt)
Non(anti) commutative N=2 Supersymmetric U(N) Gauge Theory (K Ito)
Noncommutative Solitons (O Lechtenfeld)
Anomalies, Gerbes, and Twisted K-Theory (J Mickelsson)
Introduction to Gerbe, Twisted K-Theory and Noncommutative Geometry (H Moriyoshi)
Two-Dimensional Yang-Mills Theory and Instanton Counting (K Ohta)
and other papers

Contents:

Deformations and Noncommutativity:
Expressions of Algebra Elements and Transcendental Noncommutative Calculus (H Omori et al.)
Representations of Gauge Transformation Groups of Higher Abelian Gerbes (K Gomi)
Examples of Groupoid (N Miyazaki)
Differential Equations and Schwarzian Derivatives (H Sato et al.)
Deformed Field Theory and Solutions:
Noncommutative Solitons (O Lechtenfeld)
Seiberg-Witten Monopole and Young Diagrams (A Sako)
Instantons in Non(anti)commutative Gauge Theory via Deformed ADHM Construction (T Araki et al.)
A Solution of Yang邦ills Equation on BdS Spacetime (X Ren & S Wang)
Difference Discrete Geometry on Lattice (K Wu et al.)
and other papers
Readership: Graduate students and researchers in mathematics and theoretical physics.

350pp (approx.) Pub. date: Scheduled Spring 2007
ISBN 978-981-270-469-6
981-270-469-8

edited by Masami Isoda, Takeshi Miyakawa (University of Tsukuba, Japan), Max Stephens (University of Melbourne, Australia) & Yutaka Ohara (Naruto University of Education, Japan)

JAPANESE LESSON STUDY IN MATHEMATICS
Its Impact, Diversity and Potential for Educational Improvement

In Before It's Too Late: A Report to the Nation from the National Commission on Mathematics and Science Teaching for the 21st Century (2000) in the US, the authors quote from James Stigler's conclusions from various videotape research studies of mathematics teaching: "The key to long-term improvement [in teaching] is to figure out how to generate, accumulate, and share professional knowledge". Japanese Lesson Study has proved to be one successful means.
This book supports the growing movement of lesson study to improve the quality of mathematics education from the original viewpoints of Japanese educators who have been engaging in lesson study in mathematics for professional development and curriculum implementation. This book also illustrates several projects related to lesson study in other countries.

Contents:

Japanese Lesson Study in Mathematics:
How Is In-Service Teacher Training Conducted in Japan?
Mathematics Curriculum and Way of Implementation
Comparisons of Features of Past International Comparative Studies
Methods and Types of Study Lessons:
Preparation for Lessons
Unique Japanese Lesson Development ・Models and Examples
Trends of Research Topics in Japan Society of Mathematical Education:
Lesson Study in Elementary Schools
Lesson Study in Junior High Schools
Lesson Study in High Schools
Diversity and Variety of Lesson Study:
Lesson Study as In-School Training
A Study of the Class in Training Course for Ten Year Experiences
Ties Between a University Faculty of Education and Its Attached Schools
Curriculum Development at Attached Schools
International Cooperative Projects:
International Project Comparative Classroom Research
Movement of Lesson Study in Thailand
Lesson Study for the Effective Use of Open-Ended Problems
and other papers

Readership: Mathematics educators of teacher training colleges, mathematics teachers, prospective teachers (elementary and secondary school) and undergraduate students in mathematics.

300pp (approx.) Pub. date: Scheduled Spring 2007
ISBN 978-981-270-453-5
981-270-453-1
ISBN 978-981-270-544-0(pbk)
981-270-544-9(pbk)