Bøger udgivet af Birkhauser Boston Inc

The lecture series on the Theory of the Top was originally given as a dedication to Goettingen University by Felix Klein in 1895, but has since found broader appeal.

Based on a streamlined presentation of the author's successful work, An Introduction to Frames and Riesz Bases, this book develops frame theory as part of a dialogue between mathematicians and engineers.

Aimed at mathematicians, physicists, engineers, and grad students, this monograph will be useful for the nonlinear analysis of problems arising in geometry or mathematical physics. The material presented covers recent and original results by the authors, and serves as an excellent classroom text or a valuable self-study resource.

Provides a basic foundation for students, practitioners, and researchers interested in some of the diverse areas of multiscale (geo)potential theory. This book develops mathematical methods enabling the gravitational potential of a planetary body to be modeled and analyzes using a continuous flow of observations from land or satellite devices.

Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, this book shows how behavior in such diverse areas as sociology, economics, and the life sciences can be described by closely related models.

Without using the customary Clifford algebras frequently studied in connection with therepresentations of orthogonal groups, this book gives an elementary introduction to the two-component spinor formalism for four-dimensional spaces with any signature.

It may also serve as an excellent self-study reference for electrical engineers and applied mathematicians whose work is related to the fields of electronics, signal processing, image and speech processing, or digital design and communication.

In addition to the main topic of the stability of certain functional equa tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points.

The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups.Contributors: B.

Dedicated to the Memory of Arik A. Melikyan

H-infinity engineering is a discipline of applied mathematics. This title makes a significant application of H-infinity theory to electronic amplifier design, demonstrating how the developments in H-infinity engineering equip amplifier designers with various tools and avenues for research.

Characterized by the diversity of their applications, contingency tables play a key role in fields such as education and the social sciences. This volume presents a variety of new and sophisticated models for analyzing two- and multidimensional tables.

This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry.

This book presents connections between the different aspects of wavelet and subband theory.

This self-contained volume in honor of John J. Benedetto covers a wide range of topics in harmonic analysis and related areas. These include weighted-norm inequalities, frame theory, wavelet theory, time-frequency analysis, and sampling theory. The book pays tribute to John J.

Not even a serious study of the renewal processes is possible without using the strong tool of Markov processes. The semi-Markov processes generalize the renewal processes as well as the Markov jump processes and have numerous applications, especially in relia bility.

This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators.

Centered on the higher algebraic structures in the work of Murray Gerstenhaber and Jim Stasheff, now ubiquitous in various areas of mathematics and theoretical physics, this volume shows how their work has been expanded into new realms of research.

The advent of H -control was a truly remarkable innovation in multivariable theory. It enhanced the application by deepening the theory mathematically and logically, not by weakening it as was done by the reformers of modern control theory in the early 1970s.

Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.

His sphere of influence ranges from purely theoretical results regarding the representations of locally compact groups to recent applications of wavelets and frames to problems in sampling theory and image compression.

Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear stochastic systems, which makes their con trol in general a hard problem.

This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables. Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality.

Provides a digest of the current developments, open questions and unsolved problems likely to determine a new frontier for future advanced study and research in the rapidly growing areas of wavelets, wavelet transforms, signal analysis, and signal and image processing.

This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view.

Many behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). This book provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, and a sophisticated use of Mathematica software for the solutions of problems related to ODEs.

Written by renowned experts in the field of reliability, this book deals with various aspects of mathematical and statistical models and methods in reliability. The contributions cover a wide range of applications and reflect recent developments.

The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed.

This volume consists of about half of the papers presented during a three-day seminar on stochastic processes held at Northwestern University in April 1981. The aim of the seminar was to bring together a small group of kindred spirits working on stochastic processes and to provide an informal atmosphere for them to discuss their current work.

This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come.