Joseph Cavanagh Santa Clara University, California, USA

Sequential Logic: Analysis and Synthesis

ISBN: 0849375649
Publication Date: 6/2/2006
Number of Pages: 912

Offers a comprehensive resource for mastering digital logic technology
Provides techniques that help develop logical thinking of design and that can also be used to design nanotechnology hardware
Covers Moore and Mealy machines, sequential iterative machines, and error detection in synchronous sequential machines
Describes state machine design using programmable logic devices and microprocessors
Includes problems in every chapter and a selection of answers in the appendix

Until now, there was no single resource for actual digital system design. Using both basic and advanced concepts, Sequential Logic: Analysis and Synthesis offers a thorough exposition of the analysis and synthesis of both synchronous and asynchronous sequential machines.

With 25 years of experience in designing computing equipment, the author stresses the practical design of state machines. He clearly delineates each step of the structured and rigorous design principles that can be applied to practical applications. The book begins by reviewing the analysis of combinatorial logic and Boolean algebra, and goes on to define sequential machines and discuss traditional and alternative methods for synthesizing synchronous sequential machines. The final chapters deal with asynchronous sequential machines and pulse-mode asynchronous sequential machines. Because this volume is technology-independent, these techniques can be used in a variety of fields, such as electrical and computer engineering as well as nanotechnology.

By presenting each method in detail, expounding on several corresponding examples, and providing over 500 useful figures, Sequential Logic is an excellent tutorial on analysis and synthesis procedures.

Table of contents

Kevin Kim / Neil Timm
University of Pittsburgh, Pennsylvania, USA

Univariate and Multivariate General Linear Models:
Theory and Applications with SAS, Second Edition

Series: Statistics: A Series of Textbooks and Monographs Volume: 190

ISBN: 158488634X
Publication Date: 10/5/2006
Number of Pages: 561

Provides expanded and new material with examples revised to include options available using SAS version 9.0
Features a new chapter on power analysis that illustrates the experimental GLMPOWER procedure
Contains applications of the MI, MIANALYZE, TRANSREG, PLS, and CALIS procedures
Includes a CD-ROM with SAS code and examples
Contains data sets from the behavioral sciences

Univariate and Multivariate General Linear Models: Theory and Applications with SAS, Second Edition presents analyses of simple and complex models, employing data sets from various disciplines. This edition adds a chapter on power analysis, illustrating the experimental GLMPOWER procedure. It includes expanded material on structural equation modeling, unrestricted and multivariate general linear models, as well as the SUR, restricted GMANOVA, and hierarchical linear models. It also looks at growth mixture modeling, longitudinal data analysis, multiple imputation, the EM algorithm, and contains MI, MIANALYZE, TRANSREG, PLS, and CALIS applications. All examples include SAS 9.0 options.

Table of Contents

Overview of the General Linear Model. Unrestricted General Linear Models. Restricted General Linear Models. Weighted General Linear Models. Multivariate General Linear Models. Doubly Multivariate Linear Models. Restricted MGLM and GCM. The SUR Model and the Restricted GMANOVA model. Two-level Hierarchical Linear Models. Incomplete Repeated Measurement Data.

S S Abhyankar (Purdue University, USA)

LECTURES ON ALGEBRA, Volume I

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.
The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author's lectures at Purdue University over the last few years.

Contents:

Quadratic Equations
Curves and Surfaces
Tangents and Polars
Varieties and Models
Projective Varieties
Pause and Refresh

Readership: Students and lecturers in mathematics, computer science and engineering.

750pp (approx.) Pub. date: Scheduled Fall 2006
ISBN 981-256-826-3

V Dolotin & A Morozov (ITEP, Russia)

THE UNIVERSAL MANDELBROT SET
Beginning of the Story

This book is devoted to the structure of the Mandelbrot set ・a remarkable and important feature of modern theoretical physics, related to chaos and fractals and simultaneously to analytical functions, Riemann surfaces, phase transitions and string theory. The Mandelbrot set is one of the bridges connecting the world of chaos and order.
The authors restrict consideration to discrete dynamics of a single variable. This restriction preserves the most essential properties of the subject, but drastically simplifies computer simulations and the mathematical formalism.

The coverage includes a basic description of the structure of the set of orbits and pre-orbits associated with any map of an analytic space into itself. A detailed study of the space of orbits (the algebraic Julia set) as a whole, together with related attributes, is provided. Also covered are: moduli space in the space of maps and the classification problem for analytic maps, the relation of the moduli space to the bifurcations (topology changes) of the set of orbits, a combinatorial description of the moduli space (Mandelbrot and secondary Mandelbrot sets) and the corresponding invariants (discriminants and resultants), and the construction of the universal discriminant of analytic functions in terms of series coefficients. The book concludes by solving the case of the quadratic map using the theory and methods discussed earlier.

Contents:

Notions and Notation
Summary
Fragments of Theory
Map f(x) = X2 + c: From Standard Example to General Conclusions

Readership: Researchers and students in algebra & number theory and mathematical physics.

250pp (approx.) Pub. date: Scheduled Winter 2006
ISBN 981-256-837-9

Kyril Tintarev & Karl-Heinz Fieseler (Uppsala University, Sweden)

CONCENTRATION COMPACTNESS
Functional-Analytic Grounds and Applications

Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces.
Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of domain and partitions of range, relative to transformation groups, in the proofs of energy inequalities and in the weak convergence lemmas.

Contents:

Functional Spaces and Convergence
Sobolev Spaces
Global Compactness
Differentiable Manifolds
Calculus of Variations
Sobolev Spaces on Manifolds
Concentration Compactness with Euclidean Shifts
Concentration Compactness with Dilations
Saddle Point Solutions

Readership: Researchers and graduate students in analysis and functional analysis.

270pp (approx.) Pub. date: Scheduled Winter 2006
ISBN 1-86094-666-6
ISBN 1-86094-667-4(pbk)

edited by Jianqing Fan (Princeton University, USA)
& Hira L Koul (Michigan State University, USA)

FRONTIERS IN STATISTICS

During the last two decades, many areas of statistical inference have experienced phenomenal growth. This book presents a timely analysis and overview of some of these new developments and a contemporary outlook on the various frontiers of statistics.
Eminent leaders in the field have contributed 16 review articles and 6 research articles covering areas including semi-parametric models, data analytical nonparametric methods, statistical learning, network tomography, longitudinal data analysis, financial econometrics, time series, bootstrap and other re-sampling methodologies, statistical computing, generalized nonlinear regression and mixed effects models, martingale transform tests for model diagnostics, robust multivariate analysis, single index models and wavelets.

This volume is dedicated to Prof. Peter J Bickel in honor of his 65th birthday. The first article of this volume summarizes some of Prof. Bickel's distinguished contributions.

Contents:

Our Steps on the Bickel Way (K Doksum & Y Ritov)
Semiparametric Models: A Review of Progress since BKRW (1993) (J A Wellner et al.)
Efficient Estimator for Time Series (A Schick & W Wefelmeyer)
On the Efficiency of Estimation for a Single-Index Model (Y Xia & H Tong)
Estimating Function Based Cross-Validation (M J Van der Laan & D Rubin)
Powerful Choices: Tuning Parameter Selection Based on Power (K Doksum & C Schafer)
Nonparametric Assessment of Atypicality (P Hall & J W Kay)
Selective Review on Wavelets in Statistics (Y Wang)
Model Diagnostics via Martingale Transforms: A Brief Review (H L Koul)
Boosting Algorithms: With an Application to Bootstrapping Multivariate Time Series (P B・lmann & R W Lutz)
Bootstrap Methods: A Review (S N Lahiri)
An Expansion for a Discrete Non-Lattice Distribution (F G�tze & W R van Zwet)
An Overview on Nonparametric and Semiparametric Techniques for Longitudinal Data (J Fan & R Li)
Regressing Longitudinal Response Trajectories on a Covariate (H-G M・ler & F Yao)
Statistical Physics and Statistical Computing: A Critical Link (J D Servidea & X-L Meng)
Network Tomography: A Review and Recent Developments (E Lawrence et al.)
Likelihood Inference for Diffusions: A Survey (Y A・-Sahalia)
Nonparametric Estimation of Production Efficiency (B U Park et al.)
Convergence and Consistency of Newton's Algorithm for Estimating Mixing Distribution (J K Ghosh & S T Tokdar)
Mixed Models: An Overview (J Jiang & Z Ge)
Robust Location and Scatter Estimators in Multivariate Analysis (Y Zuo)
Estimation of the Loss of an Estimate (W H Wong)

Readership: Advanced graduate students and researchers in statistics.

520pp (approx.) Pub. date: Scheduled Winter 2006
ISBN 1-86094-670-4
ISBN 1-86094-698-4(pbk)