By Thomas W. Cusick, State University of New York, Buffalo, USA
Pantelimon Stanica, Naval Postgraduate School, Monterey, CA USA

Cryptographic Boolean Functions and Applications, 2nd Edition

Subject Area: Chemistry - Applied Mathematics
ISBN-13: 9780128111291
Pub Date: 03/01/2017
Pages: Approx 320 Pages
Product Type: Softcover
Prior ISBN-13: 9780323163545

Features:

Presents a foundational approach, beginning with the basics of the necessary theory, then progressing to more complex content
Includes major concepts that are presented with complete proofs, with an emphasis on how they can be applied
Includes an extensive list of references, including 100 new to this edition that were chosen to highlight relevant topics
Contains a section on special functions and all-new numerical examples

Table of Contents:

Preface
A Bit of History
Fourier Analysis of Boolean Functions
Avalanche and Propagation Theory
Correlation Immunity and Resiliency
Bent Boolean Functions
Special Types of Boolean Functions
Stream Cipher Design
Block Ciphers
Boolean Cayley Graphs

Paul Sacks, Professor, Mathematics Department, Iowa State University, Ames, IA, USA

Techniques of Functional Analysis for Differential and Integral Equations

Subject Area: Higher Education - Mathematics
ISBN-13: 9780128114261
Pub Date: 03/01/2017
Pages: Approx 302 Pages
Product Type: Softcover

Features:

Provides an introduction to the mathematical techniques widely used in applied mathematics and needed for advanced research
Establishes the advanced background needed for sophisticated literature review and research in both differential and integral equations
Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics

Table Of Contents:

Orientation
Introduction
Preliminaries
Vector spaces
Metric spaces
Normed linear spaces and Banach spaces
Inner product spaces and Hilbert spaces
Distributions
Fourier analysis and distributions
Distributions and Differential Equations
Linear operators
Unbounded operators
Spectrum of an operator
Compact Operators
Spectra and Green's functions for differential operators
Further study of integral equations
Variational methods
Weak solutions of partial differential equations
Appendices

Liancun Zheng, University of Science and Technology, Beijing, China
and Xinxin Zhang, University of Science and Technology, Beijing, China

Modeling and Analysis of Modern Fluid Problems

Subject Area: Higher Education - Mathematics
ISBN-13: 9780128117538
Pub Date: 06/01/2017
Pages: Approx 470 Pages
Product Type: Softcover

Features:

Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems
Includes novel developments in fractional order differential equations with fractal theory applied to fluids
Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis

Table Of Contents:

Introduction.
Embedded-parameters perturbation method
Adomian analysis method
Homotopy analysis method
Differential transform method
Variational iteration method and homotopy perturbation method
Fractional order differential equations
Numerical methods

Derek F. Holt, University of Warwick
Sarah Rees, University of Newcastle upon Tyne
Claas E. Rover, National University of Ireland, Galway

Groups, Languages and Automata

Part of London Mathematical Society Student Texts
Publication planned for: February 2017
availability: Not yet published - available from April 2017
format: Hardback
isbn: 9781107152359
format: Paperback
isbn: 9781316606520

Description

Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group th

Contents

Vladas Pipiras, University of North Carolina, Chapel Hill
Murad S. Taqqu, Boston University

Long-Range Dependence and Self-Similarity

Part of Cambridge Series in Statistical and Probabilistic Mathematics
Publication planned for: June 2017
availability: Not yet published - available from June 2017
format: Hardback
isbn: 9781107039469

Description

This modern and comprehensive guide to long-range dependence and self-similarity starts with rigorous coverage of the basics, then moves on to cover more specialized, up-to-date topics central to current research. These topics concern, but are not limited to, physical models that give rise to long-range dependence and self-similarity; central and non-central limit theorems for long-range dependent series, and the limiting Hermite processes; fractional Brownian motion and its stochastic calculus; several celebrated decompositions of fractional Brownian motion; multidimensional models for long-range dependence and self-similarity; and maximum likelihood estimation methods for long-range dependent time series. Designed for graduate students and researchers, each chapter of the book is supplemented by numerous exercises, some designed to test the reader's understanding, while others invite the reader to consider some of the open research problems in the field today.

Contents