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Qualitative Theory of Dynamical Systems
  • Language: en
  • Pages: 738

Qualitative Theory of Dynamical Systems

  • Type: Book
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  • Published: 2001-01-04
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  • Publisher: CRC Press

"Illuminates the most important results of the Lyapunov and Lagrange stability theory for a general class of dynamical systems by developing topics in a metric space independantly of equations, inequalities, or inclusions. Applies the general theory to specific classes of equations. Presents new and expanded material on the stability analysis of hybrid dynamical systems and dynamical systems with discontinuous dynamics."

Topological Fields and Near Valuations
  • Language: en
  • Pages: 260

Topological Fields and Near Valuations

  • Type: Book
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  • Published: 1990-06-12
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  • Publisher: CRC Press

Part I (eleven chapters) of this text for graduate students provides a Survey of topological fields, while Part II (five chapters) provides a relatively more idiosyncratic account of valuation theory. No exercises but a good number of examples; appendices support the author in his intent, which ha

Spherical Sampling
  • Language: en
  • Pages: 591

Spherical Sampling

  • Type: Book
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  • Published: 2018-05-03
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  • Publisher: Birkhäuser

This book presents, in a consistent and unified overview, results and developments in the field of today ́s spherical sampling, particularly arising in mathematical geosciences. Although the book often refers to original contributions, the authors made them accessible to (graduate) students and scientists not only from mathematics but also from geosciences and geoengineering. Building a library of topics in spherical sampling theory it shows how advances in this theory lead to new discoveries in mathematical, geodetic, geophysical as well as other scientific branches like neuro-medicine. A must-to-read for everybody working in the area of spherical sampling.

Evolution Equations
  • Language: en
  • Pages: 442

Evolution Equations

  • Type: Book
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  • Published: 2019-04-24
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  • Publisher: CRC Press

Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and li

Control and Boundary Analysis
  • Language: en

Control and Boundary Analysis

  • Type: Book
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  • Published: 2018-01-10
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  • Publisher: CRC Press

This volume comprises selected papers from the 21st Conference on System Modeling and Optimization in Sophia Antipolis, France. It covers over three decades of studies involving partial differential systems and equations. Topics include: the modeling of continuous mechanics involving fixed boundary, control theory, shape optimization and moving boundaries, and topological shape optimization. This edition discusses all developments that lead to current moving boundary analysis and the stochastic approach.

Combinatorial Designs and Applications
  • Language: en
  • Pages: 264

Combinatorial Designs and Applications

  • Type: Book
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  • Published: 2020-12-22
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  • Publisher: CRC Press

An advanced reference containing 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (now Hunangshan), China. Contains recent, previously unavailable findings of Chinese mathematicians; discusses problems, results, and proving methods of combinatorial d

Generalized Inverses and Applications
  • Language: en
  • Pages: 1069

Generalized Inverses and Applications

  • Type: Book
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  • Published: 2014-05-10
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  • Publisher: Elsevier

Generalized Inverses and Applications, contains the proceedings of an Advanced Seminar on Generalized Inverses and Applications held at the University of Wisconsin-Madison on October 8-10, 1973 under the auspices of the university's Mathematics Research Center. The seminar provided a forum for discussing the basic theory of generalized inverses and their applications to analysis and operator equations. Numerical analysis and approximation methods are considered, along with applications to statistics and econometrics, optimization, system theory, and operations research. Comprised of 14 chapters, this book begins by describing a unified approach to generalized inverses of linear operators, wi...

Virtual Topology and Functor Geometry
  • Language: en
  • Pages: 170

Virtual Topology and Functor Geometry

  • Type: Book
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  • Published: 2007-11-15
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  • Publisher: CRC Press

Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum gravity, string theory, and statistical physics. From this point of view, it is ideal to devise a concept of space and its geometry that is fundamentally noncommutative. Providing a clear introduction to noncommutat

partial differential equations and applications
  • Language: en
  • Pages: 392

partial differential equations and applications

  • Type: Book
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  • Published: 1996-01-16
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  • Publisher: CRC Press

Written as a tribute to the mathematician Carlo Pucci on the occasion of his 70th birthday, this is a collection of authoritative contributions from over 45 internationally acclaimed experts in the field of partial differential equations. Papers discuss a variety of topics such as problems where a partial differential equation is coupled with unfavourable boundary or initial conditions, and boundary value problems for partial differential equations of elliptic type.

Handbook of Mathematical Geodesy
  • Language: en
  • Pages: 938

Handbook of Mathematical Geodesy

  • Type: Book
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  • Published: 2018-06-11
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  • Publisher: Birkhäuser

Written by leading experts, this book provides a clear and comprehensive survey of the “status quo” of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.