Bernido, C. / Carpio-Bernido, M. / Nakamura, K. / Watanabe, K.

Mathematical Methods of Quantum Physics: 2nd
Jagna International Workshop
Essays in Honor of Professor Hiroshi Ezawa

Edited by C.C. Bernido and M.V. Carpio-Bernido, both of Research Center for Theoretical Physics, Central Visayan Institute, Jadna, Bohol, Philippines, K. Nakamura, Division of Natural Science, Meiji University, Tokyo, Japan, and K. Watanabe, Department of Physics, Meisei University, Tokyo, Japan

Articles are presented, covering a wide range of topics in the mathematical methods of quantum physics.
These include infinite dimensional analysis based on white noise, operator algebra methods, Feynman path integrals, quantum mechanics on non-simply connected spaces, recent results in supersymmetric theories, stochastic and quantum dynamics, Yang-Baxter systems, statistical physics, thermo field dynamics, and quantum field theory. The essays are based on lectures contributed for the Second Jagna International Workshop held in honor of Prof. Hiroshi Ezawa, a distinguished physicist, educator, and former president of the Physical Society of Japan.

Contents:
Stochastic Processes  /Quantum Field Theory and Statistical Mechanics / Functional Integrals and Their Applications / Spin Systems and Coherent States/ Gauge Field Theory and Supersymmetry /Thermo Field Dynamics

Readership:
Graduates, researchers, working professionals in the mathematical physics field including operator algebra, white noise analysis, Feynman integrals, stochastic processes, and quantum field theory.

August, 1999 / 362 pp / Cloth / 90-5699-211-2

Edited by C. Corduneanu, Department of Mathematics, University of Texas at Arlington, USA
and I. Sandberg, Department of Electrical and Computer Engineering, University of Texas at Austin, USA

Volterra Equations and Applications

This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern
engineering. Vito Volterra began his study of integral equations at the end of the nineteenth century and this was a significant development in the theory of integral equations and nonlinear functional analysis.
Volterra series are of interest and use in pure and applied mathematics and engineering.

Contents: Retrospective of Vito Volterra and His Influence on Nonlinear Systems Theory / Volterra Integral Equations at Wisconsin / Stability and Asymptotic Behavior of Solutions of Equations with
Aftereffect / Generalized Halay Inequalities for Volterra Functional Differential Equations and Discretized Versions / Stochastic Convolutions with Kernels Arising in Volterra Equations / An Example of
LP乏egularity for Hyperbolic Integrodifferential Equations / The Present Status of UAS for Volterra and Delay Equations / Myopic Maps and Volterra Series Approximations ? State Space Theory for Abstract
Volterra Operators

Readership: Gradutes and researchers in applied mathematics and system engineering.

Series Part: Stability and Control, Volume 10

January, 2000 / 516 pp / Cloth / 90-5699-171-X / R

A. Mader, Department of Mathematics, University of Hawaii, Honolulu, HI USA

Almost Completely Decomposable Groups

From a minimal background in abelian group theory to the frontier of research, this monograph brings together results scattered in the literature and poses new problems for future research.

An almost completely decomposable abelian (acd) group is an extension of a finite direct sum of subgroups of the additive group of rational numbers by a finite abelian group. Examples are easy to write and are
frequently used but have been notoriously difficult to study and classify because of their computational nature. However, a general theory of acd groups has been developed and a suitable weakening of isomorphism, Lady near-isomorphism, has been established as the ight・concept for studying acd groups.
A number of important classes of acd groups has been successfully classified. Direct sum decompositions of acd groups are preserved under near-isomorphism and the well-known pathological decompositions
can actually be surveyed in special cases.

Contents: Notation and Background / Basics and Completely Decomposable Groups / Cyclic Essential Extensions / Regulating Subgroups and Regulators / Local-Global Relationships / Groups with Cyclic Regulating / Completely Decomposable Summands / Anti-Representations / Near-Isomorphism and Type-Isomorphism / Fundamental Decomposition Theorems / Finite Essential Extensions / Representing Matrices / Classification / Direct Decompositions of Block-Rigid crq-Groups / In Search for Good Categories / Associated Structures / Literature

Readership: Graduates and researchers in group theory, ring and module theory.

Series Part: Algebra, Logic and Applications, Volume 13

February, 2000 / 368 pp / Cloth / 90-5699-225-2 /

Edited by S. Sivasundaram, Department of Computing and Mathematics,
Embry-Riddle Aeronautical University, Daytona Beach, Florida, USA

Nonlinear Problems in Aviation and Aerospace

The study of nonlinear phenomena in aviation and aerospace includes developments in computer technology and the use of nonlinear mathematical models. Nonlinearities are a feature of aircraft dynamics and flight control systems need to respond to achieve stability and performance. This multiauthor volume comprises selected papers from the conference Nonlinear Problems in Aviation and Aerospace at
Embry-Riddle Aeronautical University and additional invited papers from many distinguished scientists.

Selected Contents: Aircraft as Adaptive Nonlinear System Which Must be in the Adaptational Maximum Zone for Safety / Attitude Stability of an Asymmetric Dual-spin Spacecraft With Stochastic Rotor
Speed Fluctuations / Intelligent Control of Agile Aircraft / Flight Control With and Without Control Surfaces: Nonlinear Look / Optimal Ascent Trajectories for a Single-stage Suborbital Spacecraft / Reentry Control for Low L/D Vehicles / Effects of Nonlinearities in Aerodynamic Coefficients on Aircraft Longitudinal Motion / Vector Lyapunov Function Synthesis of Aircraft Control / Unified Control Systems / Nonlinear Methods and Software for Dynamic Investigations of Fail-safe Gyromoment Attitude Control Systems of Spacecrafts

Readership: Postgraduates and researchers in the fields of applied mathematics, aviation, and aerospace.

Series Part: Stability and Control, Volume 11

January, 2000 / 400 pp / Cloth / 90-5699-222-8 /

Edited by Ravi P. Agarwal, National University of Singapore
and Donal O’Regan, University College of Galway, Ireland

Integral and Integrodifferential Equations
Theory, Methods and Applications

This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.

Selected Contents: The Solution Set of Integral Inclusions on the Half Line / Periodic Solutions of Integro-Differential Inclusions / On Nonlinear Volterra-Stieltjes Integral Operators / A Modified Collocation Method for Volterra Delay Integro-Differential Equations with Multiple Delays / On the Numerical Solution of Initial Boundary Value Problems by the Laguerre Transformation and Boundary Integral Equations / Remarks on Hammerstein Integral Operators ? Preserving Transient
Behaviour in Numerical Solutions of Volterra Integral Equations of Convolution Type / A Spline Method
for the Numerical Solution of Volterra Integral Equations of the Second Kind / Boundary Value
Problems for a Class of Integro-Differential Equations and Applications / Integro-Differential Equations
on Unbounded Domains in Banach Spaces

Readership: Graduates, researchers and professionals in applied mathematics, mathematical physics, electronics and engineering.

Series Part: Series in Mathematical Analysis and Applications, Volume 2

March, 2000 / 331 pp / Cloth / 90-5699-221-X /

Yu. Aminov, Institute of Low Temperature Physics and Engineering, Kharkov, Ukraine

The Geometry of Vector Fields

Presenting a classical approach to the foundations and development of the geometry of vector fields, this volume describes vector fields in three-dimensional Euclidean space, three orthogonal systems, and
applications in mechanics. Other topics, including vector fields, Pfaff forms and systems in n-dimensional space, foliations and Godbillon-Vey invariant, are also considered. There is much interest in the study of
geometrical objects in n-dimensional Euclidean space, and this volume provides a useful and comprehensive presentation.

Contents:
Vector Fields in Three-Dimensional Euclidean Space
Vector Fields and Forms in Many-Dimensional Euclidean and Riemannian Spaces

Readership: Researchers in mathematics and geometry.

June, 1999 / 210 pp / Cloth / 90-5699-201-5 /