Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation.
Nonlinear elliptic problems play an increasingly important role in mathematics, science and engineering, creating an exciting interplay between the subjects.
This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1).
This book presents peer-reviewed and selected papers from the 17th Conference on Acoustics and Vibration of Mechanical Structures (AVMS) held in Timisoara, Romania, on 26-27 May 2023.
The contribution of computer simulation studies to our understanding of proper- ties of a wide range of condensed-matter systems is now well established.
The European Conference on Complex Systems, held under the patronage of the Complex Systems Society, is an annual event that has become the leading European conference devoted to complexity science.
This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.
Computer-Algebra-Systeme (CAS) und computerorientierte numerische Verfahren (CNV) vereinfachen den praktischen Umgang mit der Mathematik ganz entscheidend und werden in immer weiteren Bereichen angewendet.
Among the subjects covered in this volume are the topological effects of quantum mechanics, including Bohm-Aharonov and Aharonov-Casher effects and their generalisations; the toroidal moments, anapoles and their generalisations; the numerical investigation of Tonomura experiments testing the foundations of quantum mechanics; the time-dependent Bohm-Aharonov effect, the thorough study of toroidal solenoids and their use as effective transmitters of electromagnetic waves; and the topical questions of the Vavilov-Cherenkov radiation.
It may tum out that, like certain other phenomena studied by sociologists, bouts of interest in the foundations of quantum mechanics tend to come in 60-year cycles.
This work is a needed reference for widely used techniques and methods of computer simulation in physics and other disciplines, such as materials science.
Fractional Integral Transforms: Theory and Applications presents over twenty-five integral transforms, many of which have never before been collected in one single volume.
This research monograph provides a comprehensive study of a conjecture initially proposed by the second author at the 1998 International Congress of Mathematicians (ICM).
This book offers a primer on the fundamentals and applications of the Geroch-Held-Penrose (GHP) calculus, a powerful formalism designed for spacetimes that occur frequently in the teaching of General Relativity.
The book aims to analyze and explore deep and profound relations between string field theory, higher spin gauge theories and holography - the disciplines that have been on the cutting edge of theoretical high energy physics and other fields.
This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains.
"e;Evolution of Dynamical Structures in Complex Systems"e; is dedicated to the founder of synergetics, Hermann Haken, on the occasion of his 65th birthday.
This textbook is based on lecture notes that the author delivered at Qiuzhen College (Tsinghua University), a Chinese institution known for its exceptionally talented mathematics students.
This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.
During the past two decades representations of noncompact Lie groups and Lie algebras have been studied extensively, and their application to other branches of mathematics and to physical sciences has increased enormously.
While quantum theory has been used to study the physical universe with great profit, both intellectual and financial, ever since its discovery eighty-five years ago, over the last fifty years we have found out more and more about the theory itself, and what it tells us about the universe.
This book is a substantially revised and expanded edition reflecting major developments in stochastic numerics since the first edition was published in 2004.
This book puts forward a modern classification theory for superconducting gap nodes, whose structures can be observed by experiments and are essential for understanding unconventional superconductivity.
In recent years, as part of the increasing "e;informationization"e; of industry and the economy, enterprises have been accumulating vast amounts of detailed data such as high-frequency transaction data in nancial markets and point-of-sale information onindividualitems in theretail sector.
„In der vorliegenden Ausarbeitung von vier Vorträgen, die ich an der Universität Princeton im Mai 1921 gehalten habe, wollte ich die Hauptgedanken und mathematischen Methoden der Relativitätstheorie zusammenfassen.
This monograph is devoted to the nonperturbative dynamics in the Standard Model (SM), the basic theory of allfundamental interactions in nature except gravity.
