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Books in Mathematics

The Mathematics collection presents a range of foundational and advanced research content across applied and discrete mathematics, including fields such as Computational Mathematics; Differential Equations; Linear Algebra; Modelling & Simulation; Numerical Analysis; Probability & Statistics.

  • Approximation of Vector Valued Functions

    • 1st Edition
    • Volume 25
    • English
    This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications. The book is largely self-contained. The amount of Functional Analysis required is minimal, except for Chapter 8. The book can be used by graduate students who have taken the usual first-year real and complex analysis courses.
  • Enzyme mathematics

    • 1st Edition
    • Volume 10
    • English
  • Harmonic Vector Fields

    Variational Principles and Differential Geometry
    • 1st Edition
    • Sorin Dragomir + 1 more
    • English
    An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail.
  • Surveys in Combinatorial Optimization

    • 1st Edition
    • Volume 31
    • S. Martello + 3 more
    • English
    A collection of papers surveying recent progress in the field of Combinatorial Optimization.Topics examined include theoretical and computational aspects (Boolean Programming, Probabilistic Analysis of Algorithms, Parallel Computer Models and Combinatorial Algorithms), well-known combinatorial problems (such as the Linear Assignment Problem, the Quadratic Assignment Problem, the Knapsack Problem and Steiner Problems in Graphs) and more applied problems (such as Network Synthesis and Dynamic Network Optimization, Single Facility Location Problems on Networks, the Vehicle Routing Problem and Scheduling Problems).
  • Near-Rings and Near-Fields

    • 1st Edition
    • Volume 137
    • G. Betsch
    • English
    Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory.There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory.
  • Patterns and Waves

    Qualitative Analysis of Nonlinear Differential Equations
    • 1st Edition
    • T. Nishida + 2 more
    • English
    Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications.Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals.The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.
  • Statistical Aspects of Water Quality Monitoring

    • 1st Edition
    • Volume 27
    • A.H. El-Shaarawi + 1 more
    • English
    This volume contains selected papers from the ``Workshop on the Statistical Aspects of Water Quality Monitoring'', held on October 7-10 1985, at the National Water Research Institute in Burlington, Ontario, Canada. The prime objective of the Workshop was to generate interaction between the statistical community and scientists working in the area of Water Quality Monitoring. To this end, topics covered in this Workshop fall into two categories: (1) Methods Development, and (2) the Imaginative Application of Existing Methodologies. Subjects covered include: Time Series, Estimation of Loading, Clustering, Model Development, Censoring Data Analysis, Quality Control and Data Acquisition.In the area of environmental sciences, statistical applications are still in their infancy, with few attempts to systematically develop techniques dealing with environmental issues. The publication of this book is one step towards identifying appropriate statistical techniques and diagnosing problems in Water Quality Monitoring which require new statistical methodologies. The papers presented in this volume represent international expertise, consolidating detailed information on both conventional and new methods.
  • Random Graphs '85

    • 1st Edition
    • Volume 33
    • M. Karonski + 1 more
    • English
    Covering a wide range of Random Graphs subjects, this volume examines series-parallel networks, properties of random subgraphs of the n-cube, random binary and recursive trees, random digraphs, induced subgraphs and spanning trees in random graphs as well as matchings, hamiltonian cycles and closure in such structures. Papers in this collection also illustrate various aspects of percolation theory and its applications, properties of random lattices and random walks on such graphs, random allocation schemes, pseudo-random graphs and reliability of planar networks. Several open problems that were presented during a special session at the Seminar are also included at the end of the volume.
  • Group and Semigroup Rings

    • 1st Edition
    • Volume 126
    • G. Karpilovsky
    • English
    A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the current state of the subject and form a comprehensive introduction for intending researchers.
  • Combinatorial Design Theory

    • 1st Edition
    • Volume 34
    • C.J. Colbourn + 1 more
    • English
    Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science.This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions.The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.
  • Recent Topics in Nonlinear PDE III

    • 1st Edition
    • K. Masuda + 1 more
    • English
    The problems treated in this volume concern nonlinear partial differential equations occurring in the areas of fluid dynamics, free boundary problems, population dynamics and mathematical physics. Presented are new results and new methods for analysis in bifurcation, singular perturbation, variational methods, stability analysis, rearrangement, energy inequalities, etc.
  • Combinatorics '86

    • 1st Edition
    • Volume 37
    • M. Marchi + 2 more
    • English
    Recent developments in all aspects of combinatorial and incidence geometry are covered in this volume, including their links with the foundations of geometry, graph theory and algebraic structures, and the applications to coding theory and computer science.Topics covered include Galois geometries, blocking sets, affine and projective planes, incidence structures and their automorphism groups. Matroids, graph theory and designs are also treated, along with weak algebraic structures such as near-rings, near-fields, quasi-groups, loops, hypergroups etc., and permutation sets and groups.The vitality of combinatorics today lies in its important interactions with computer science. The problems which arise are of a varied nature and suitable techniques to deal with them have to be devised for each situation; one of the special features of combinatorics is the often sporadic nature of solutions, stemming from its links with number theory. The branches of combinatorics are many and various, and all of them are represented in the 56 papers in this volume.
  • Proceedings of the Analysis Conference, Singapore 1986

    • 1st Edition
    • Volume 150
    • S.T.L. Choy + 2 more
    • English
    The main emphasis of this volume is on harmonic and functional analysis. The papers include some of the latest research developments in this important field of mathematics.
  • Vector Measures and Control Systems

    • 1st Edition
    • Volume 20
    • English
  • Spectral Theory and Asymptotics of Differential Equations

    Proceedings of the Scheveningen Conference on Differential Equations, the Netherlands
    • 1st Edition
    • Volume 13
    • English
  • Finite Groups Æ72

    Proceedings of the Gainesville Conference on Finite Groups, March 23-24, 1972
    • 1st Edition
    • Volume 7
    • English
  • Volterra Stieltjes-Integral Equations

    Functional analytic methods, linear constraints
    • 1st Edition
    • Volume 16
    • English
  • Fourier analysis and approximation

    • 1st Edition
    • Volume 40
    • English
  • Intensional and Higher-Order Modal Logic

    With applications to Montague semantics
    • 1st Edition
    • Volume 19
    • English
  • The geometry of geodesics

    • 1st Edition
    • Volume 6
    • English
  • Linear lie groups

    • 1st Edition
    • Volume 35
    • English
  • Generalized Classical Mechanics and Field Theory

    A Geometrical Approach of Lagrangian and Hamiltonian Formalisms Involving Higher Order Derivatives
    • 1st Edition
    • Volume 112
    • M. de León + 1 more
    • English
    The aim of this book is to discuss the present situation of Lagrangian and Hamiltonian formalisms involving higher order derivatives. The achievements of differential geometry in formulating a more modern and powerful treatment of these theories is described and an extensive review of the development of these theories in classical language is also given.
  • Geometry of Classical Fields

    • 1st Edition
    • Volume 154
    • E. Binz + 2 more
    • English
    This volume is an introduction to differential methods in physics. Part I contains a comprehensive presentation of the geometry of manifolds and Lie groups, including infinite dimensional settings. The differential geometric notions introduced in Part I are used in Part II to develop selected topics in field theory, from the basic principles up to the present state of the art. This second part is a systematic development of a covariant Hamiltonian formulation of field theory starting from the principle of stationary action.
  • Axiomatic Set Theory

    • 1st Edition
    • Volume 51
    • R.B. Chuaqui
    • English
  • Asymptotic Analysis of Singular Perturbations

    • 1st Edition
    • Volume 9
    • W. Eckhaus
    • English
  • Entire functions

    • 1st Edition
    • Volume 5
    • English
  • Simplified independence proofs

    Boolean valued models of set theory
    • 1st Edition
    • Volume 31
    • English
  • Markov processes and potential theory

    • 1st Edition
    • Volume 29
    • English
  • The four-color problem

    • 1st Edition
    • Volume 27
    • English
  • A theory of sets

    • 1st Edition
    • Volume 18
    • English
  • Curvature and homology

    • 1st Edition
    • Volume 11
    • English
  • Geometry of manifolds

    • 1st Edition
    • Volume 15
    • English
  • Locally Compact Semi-Algebras

    With applications to spectral theory of positive operators
    • 1st Edition
    • Volume 9
    • English
  • Divisor Theory in Module Categories

    • 1st Edition
    • Volume 14
    • English
  • Spectral Theory and Complex Analysis

    • 1st Edition
    • Volume 4
    • English
  • Topology and Borel Structure

    Descriptive topology and set theory with applications to functional analysis and measure theory
    • 1st Edition
    • Volume 10
    • English
  • Degrees of Unsolvability

    • 1st Edition
    • Volume 2
    • English
  • Combinatorics 79. Part II

    • 1st Edition
    • Volume 9
    • English
  • Topics on Steiner Systems

    • 1st Edition
    • Volume 7
    • English
  • Combinatorics 79. Part I

    • 1st Edition
    • Volume 8
    • English
  • Approximation and Optimization of Discrete and Differential Inclusions

    • 1st Edition
    • Elimhan N Mahmudov
    • English
    Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions.
  • Foundations of the Numerical Analysis of Plasticity

    • 1st Edition
    • Volume 107
    • T. Miyoshi
    • English
    This monograph describes a theoretical foundation for analysing and developing approximate methods to solve dynamic and quasi-static plasticity problems.