David S. Moore (Purdue U.)
George P. McCabe (Purdue U.)
Introduction to the Practice of Statistics, Fifth Edition
February 2005 (c2006), cloth, text and CD:
0-7167-6400-8
With its focus on data analysis, statistical reasoning, and the
way statisticians actually work, Introduction to the Practice of
Statistics (IPS) helped bring the power of critical thinking and
practical applications to the general statistics classroom. Freed
from an overload of computations, students are able to go beyond
the raw numbers to see what the data actually meant. The IPS data
analysis approach has gone from an attractive alternative to the
method of choice for most instructors.
Now, with exciting new material and features, hundreds of new
exercises, and more challenges for your advanced students,
Introduction to the Practice of Statistics returns as a modern
classic.
Table of Contents
1. Looking at Data--Distributions
2. Looking at Data--Relationships
3. Producing Data
4. Probability: The Study of Randomness
5. Sampling Distributions
6. Introduction to Inference
7. Inference for Distributions
8. Inference for Proportions
9. Analysis of Two-Way Tables
10. Inference for Regression
11. Multiple Regression
12. One-Way Analysis of Variance
13. Two-Way Analysis of Variance
Available on the IPS Web site and CD:
14. Bootstrap Methods and Permutation Tests
15. Nonparametric Tests
16. Logistic Regression
17. Process Control
Wayne W. Daniel
Biostatistics: A Foundation for Analysis in the Health Sciences,
Student Solutions Manual, 8th Edition
ISBN: 0-471-70148-3
Paperback
ISBN: 0-471-45232-7
Hardback
March 2005
Description
A new edition of the bestselling Biostatistics textbook. This
classic text takes a more applied and computer-oriented approach
to its topical coverage. Like its predecessors, the Eighth
Edition stresses intuitive understanding of principles rather
than learning by mathematical proof. It provides broad coverage
of statistical procedures used in all the health science
disciplines. Nearly all the examples and exercises make use of
real data from actual research projects and reports from health
sciences literature. Where appropriate, Minitab, SPSS and SAS
commands and printouts are included as part of the examples and
solutions to exercises.
Posthoff, Christian, Steinbach, Bernd
Logic Functions and Equations
Binary Models for Computer Science
2005, XXX, 390 p., Hardcover
ISBN: 1-4020-2937-3
About this book
Logic functions and equations are (some of) the most important
concepts of Computer Science with many applications such as
Binary Arithmetics, Coding, Complexity, Logic Design,
Programming, Computer Architecture and Artificial Intelligence.
They are very often studied in a minimum way prior to or together
with their respective applications. Based on our long-time
teaching experience, a comprehensive presentation of these
concepts is given, especially emphasising a thorough
understanding as well as numerical and computer-based solution
methods. Any applications and examples from all the respective
areas are given that can be dealt with in a unified way. They
offer a broad understanding of the recent developments in
Computer Science and are directly applicable in professional life.
Logic Functions and Equations is highly recommended for a one- or
two-semester course in many Computer Science or computer Science-oriented
programmes. It allows students an easy high-level access to these
methods and enables sophisticated applications in many different
areas. It elegantly bridges the gap between Mathematics and the
required theoretical foundations of Computer Science.
Table of contents
List of Figures.- List of Tables.- Preface.- Introduction.- Part
I. Theoretical Foundations: 1. Basic Algebraic Structures. 2.
Logic Functions. 3. Logic Equations. 4. Boolean Differential
Calculus. 5. The Solution of Logic Equations.- Part II.
Applications: 6. Logics and Arithmetics. 7. Combinational
Circuits. 8. Finite State Machines.- Part III. Tools: 9. Xboole.-
References.- Index.
Labastida, Jose M.F., Marino, Marcos
Topological Quantum Field Theory and Four Manifolds
Series: Mathematical Physics Studies, Vol. 25
2005, X, 224 p., Hardcover
ISBN: 1-4020-3058-4
About this textbook
The present book is the first of its kind in dealing with topological quantum
field theories and their applications to topological aspects of four manifolds.
It is not only unique for this reason but also because it contains sufficient
introductory material that it can be read by mathematicians and theoretical
physicists. On the one hand, it contains a chapter dealing with topological
aspects of four manifolds, on the other hand it provides a full introduction
to supersymmetry. The book constitutes an essential tool for researchers
interested in the basics of topological quantum field theory, since these
theories are introduced in detail from a general point of view. In addition,
the book describes Donaldson theory and Seiberg-Witten theory, and provides
all the details that have led to the connection between these theories
using topological quantum field theory. It provides a full account of Witten’s
magic formula relating Donaldson and Seiberg-Witten invariants. Furthermore,
the book presents some of the recent developments that have led to important
applications in the context of the topology of four manifolds.
Contents:
Editorial.- Combinatorial Formulas for Cohomology of Spaces of Knots.-
On the Homology of Spaces of Long Knots.- Some Computations of Ohtsuki
Series.- From 3-moves to Lagrangian Tangles and Cubic Skein Modules.- On
Spin and Complex Spin Borromean Surgeries.- Khovanov Homology: torsion
and thickness.- Khovanov Homology for Knots and Links up to 11 Crossings.-
Perturbative Quantum Field Theory and L Algebra.- A linking form Conjecture
for 3-manifolds.- Mappings of Non-zero degree between 3-Manifolds: a new
obstruction.- On Braid Groups, Homotopy Groups, and Modular Forms.- A note
on Symplectic Circle Actions and Massey Products.- Realization of Primitive
Branched Coverings over Closed Surfaces.- Cohomology Rings of Oriented
Seifert Manifolds with mod p Coefficients.- On Cyclic Covers of the Riemann
Sphere and a Related Class of Curves.
Bryden, John M. (Ed.)
Advances in Topological Quantum Field Theory
Proceedings of the NATO ARW on New Techniques in Topological
Quantum Field Theory, Kananaskis Village, Canada from 23 to 27
August 2001.
Series: NATO Science Series II: Mathematics, Physics and
Chemistry, Vol. 179
2005, VII, 352 p., Softcover
ISBN: 1-4020-2771-0
About this book
This volume is the conference proceedings of the NATO ARW during
August 2001 at Kananaskis Village, Canada on "New Techniques
in Topological Quantum Field Theory". This conference
brought together specialists from a number of different fields
all related to Topological Quantum Field Theory. The theme of
this conference was to attempt to find new methods in quantum
topology from the interaction with specialists in these other
fields.
The featured articles include papers by V. Vassiliev on
combinatorial formulas for cohomology of spaces of Knots, the
computation of Ohtsuki series by N. Jacoby and R. Lawrence, and a
paper by M. Asaeda and J. Przytycki on the torsion conjecture for
Khovanov homology by Shumakovitch. Moreover, there are articles
on more classical topics related to manifolds and braid groups by
such well known authors as D. Rolfsen, H. Zieschang and F. Cohen.
Gu, Chaohao, Hu, Hesheng, Zhou, Zixiang
Darboux Transformations in Integrable Systems
Theory and their Applications to Geometry
Series: Mathematical Physics Studies, Vol. 26
2005, X, 310 p., Hardcover
ISBN: 1-4020-3087-8
About this book
The Darboux transformation approach is one of the most effective
methods for constructing explicit solutions of partial
differential equations which are called integrable systems and
play important roles in mechanics, physics and differential
geometry.
This book presents the Darboux transformations in matrix form and
provides purely algebraic algorithms for constructing the
explicit solutions. A basis for using symbolic computations to
obtain the explicit exact solutions for many integrable systems
is established. Moreover, the behavior of simple and multi-solutions,
even in multi-dimensional cases, can be elucidated clearly. The
method covers a series of important equations such as various
kinds of AKNS systems in R1+n, harmonic maps from 2-dimensional
manifolds, self-dual Yang-Mills fields and the generalizations to
higher dimensional case, theory of line congruences in three
dimensions or higher dimensional space etc. All these cases are
explained in detail. This book contains many results that were
obtained by the authors in the past few years.
Audience: The book has been written for specialists, teachers and
graduate students (or undergraduate students of higher grade) in
mathematics and physics.
Table of contents
Preface.- 1. 1+1 Dimensional Integrable Systems. 2. 2+1
Dimensional Integrable Systems. 3. N + 1 Dimensional Integrable
Systems.- 4. Surfaces of Constant Curvature, Backlund Congruences.-
5. Darboux Transformation and Harmonic Map.-
6. Generalized Self-Dual Yang-Mills and Yang-Mills-Higgs
Equations.- 7. Two Dimensional Toda Equations and Laplace
Sequences of Surfaces.- 7.1 Signed Toda equations. 7.2 Laplace
sequences of surfaces in projective space Pn-1. 7.3 Darboux
transformation.
Bakushinsky, A.B., Kokurin, M.Yu.
Iterative Methods for Approximate Solution of Inverse Problems
Series: Mathematics and its Applications, Vol. 577
2005, XV, 291 p., Hardcover
ISBN: 1-4020-3121-1
About this book
This volume presents a unified approach to constructing iterative
methods for solving irregular operator equations and provides
rigorous theoretical analysis for several classes of these
methods. The analysis of methods includes convergence theorems as
well as necessary and sufficient conditions for their convergence
at a given rate. The principal groups of methods studied in the
book are iterative processes based on the technique of universal
linear approximations, stable gradient-type processes, and
methods of stable continuous approximations. Compared to existing
monographs and textbooks on ill-posed problems, the main
distinguishing feature of the presented approach is that it doesn’t
require any structural conditions on equations under
consideration, except for standard smoothness conditions. This
allows to obtain in a uniform style stable iterative methods
applicable to wide classes of nonlinear inverse problems.
Practical efficiency of suggested algorithms is illustrated in
application to inverse problems of potential theory and acoustic
scattering.
Table of contents
Dedication. Acknowledgments. Introduction. 1. Irregular Equations
as Ill-Posed Problems. 2. Regularization Methods for Linear
Equations. 3. Parametric Approximations of Solutions to Nonlinear
Operator Equations. 4. Iterative Processes on the Basis of
Parametric Approximations. 5. Stable Iterative Processes. 6.
Applications of Iterative Methods. 7. Notes. References. Index.
Vassiliou, Efstathios
Geometry of Principal Sheaves
Series: Mathematics and its Applications, Vol. 578
2005, Approx. 445 p., Hardcover
ISBN: 1-4020-3415-6
About this book
The book provides a detailed introduction to the theory of
connections on principal sheaves in the framework of Abstract
Differential Geometry (ADG). This is a new approach to
differential geometry based on sheaf theoretic methods, without
use of ordinary calculus. This point of view complies with the
demand of contemporary physics to cope with non-smooth models of
physical phenomena and spaces with singularities.
Starting with a brief survey of the required sheaf theory and
cohomology, the exposition then moves on to differential triads (the
abstraction of smooth manifolds) and Lie sheaves of groups (the
abstraction of Lie groups). Having laid the groundwork, the main
part of the book is devoted to the theory of connections on
principal sheaves, incorporating connections on vector and
associated sheaves. Topics such as the moduli sheaf of
connections, classification of principal sheaves, curvature, flat
connections and flat sheaves, Chern-Weil theory, are also treated.
The study brings to light fundamental notions and tools of the
standard differential geometry which are susceptible of the
present abstraction, and whose role remains unexploited in the
classical context, because of the abundance of means therein.
However, most of the latter are nonsensical in ADG.
Table of contents
1. Sheaves and all that, 2. The category of differential triads,
3. Lie sheaves of groups, 4. Principal sheaves, 5. Vector and
associated sheaves, 6. Connections on principal sheaves. 7.
Connections on vector and associated sheaves, 8. Curvature, 9.
Chern-Weil theory, 10. Applications and further examples,
Bibliography, List of symbols, Subject index