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Books in Applied mathematics

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121-130 of 143 results in All results

Applications of Markov Chains in Chemical Engineering

  • 1st Edition
  • August 26, 1998
  • A. Tamir
  • English
  • Hardback
    9 7 8 - 0 - 4 4 4 - 8 2 3 5 6 - 4
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 2 7 3 9 - 0
Markov chains make it possible to predict the future state of a system from its present state ignoring its past history. Surprisingly, despite the widespread use of Markov chains in many areas of science and technology, their applications in chemical engineering have been relatively meager. A possible reason for this phenomenon might be that books containing material on this subject have been written in such a way that the simplicity of Markov chains has been shadowed by the tedious mathematical derivations. Thus, the major objective of writing this book has been to try to change this situation.There are many advantages, detailed in Chapter 1, of using the discrete Markov-chain model in chemical engineering. Probably, the most important advantage is that physical models can be presented in a unified description via state vector and a one-step transition probability matrix. Consequently, a process is demonstrated solely by the probability of a system to occupy or not occupy a state.The book has been written in an easy and understandable form, where complex mathematical derivations are abandoned. The fundamentals of Markov chains are presented in Chapter 2 with examples from the bible, art and real life problems. An extremely wide collection is given of examples viz., reactions, reactors, reactions and reactors as well as combined processes, including their solution and a graphical presentation of it, all of which demonstrates the usefulness of applying Markov chains in chemical engineering.

Chaos and Fractals

  • 1st Edition
  • August 3, 1998
  • C.A. Pickover
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 2 8 8 6 - 1
These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art.Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art.Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Handbook of Differential Equations

  • 3rd Edition
  • October 29, 1997
  • Daniel Zwillinger
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 7 8 4 3 9 6 - 4
Handbook of Differential Equations, Third Edition compiles the most widely applicable methods for solving and approximating differential equations, also providing numerous examples that show methods being used. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations.

Non-Standard and Improperly Posed Problems

  • 1st Edition
  • Volume 194
  • July 7, 1997
  • William F. Ames + 1 more
  • William F. Ames
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 7 7 4 - 0
Written by two international experts in the field, this book is the first unified survey of the advances made in the last 15 years on key non-standard and improperly posed problems for partial differential equations.This reference for mathematicians, scientists, and engineers provides an overview of the methodology typically used to study improperly posed problems. It focuses on structural stability--the continuous dependence of solutions on the initial conditions and the modeling equations--and on problems for which data are only prescribed on part of the boundary. The book addresses continuous dependence on initial-time and spatial geometry and on modeling backward and forward in time. It covers non-standard or non-characteristic problems, such as the sideways problem for a heat or hyberbolic equation and the Cauchy problem for the Laplace equation and other elliptic equations. The text also presents other relevant improperly posed problems, including the uniqueness and continuous dependence for singular equations, the spatial decay in improperly posed parabolicproblems, the uniqueness for the backward in time Navier-Stokes equations on an unbounded domain, the improperly posed problems for dusty gases, the linear thermoelasticity, and the overcoming Holder continuity and image restoration.

Lyapunov Matrix Equation in System Stability and Control

  • 1st Edition
  • Volume 195
  • August 14, 1995
  • Zoran Gajic + 1 more
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 3 5 6 7 - 8
The Lyapunov and Riccati equations are two of the fundamental equations of control and system theory, having special relevance for system identification, optimization, boundary value problems, power systems, signal processing, and communications.The Lyapunov Matrix Equation in System Stability and Control covers mathematical developments and applications while providing quick and easy references for solutions to engineering and mathematical problems. Examples of real-world systems are given throughout the text in order to demonstrate the effectiveness of the presented methods and algorithms.The book will appeal to practicing engineers, theoreticians, applied mathematicians, and graduate students who seek a comprehensive view of the main results of the Lyapunov matrix equation.

A Mathematical Kaleidoscope

  • 1st Edition
  • January 1, 1995
  • B Conolly + 1 more
  • English
  • eBook
    9 7 8 - 0 - 8 5 7 0 9 - 9 8 5 - 3
This text embodies at advanced and postgraduate level the professional and technical experience of two experienced mathematicians. It covers a wide range of applications relevant in many areas, including actuarial science, communications, engineering, finance, gambling, house purchase, lotteries, management, operational research, pursuit and search.In mathematical studies drawn from algebra, geometry, analysis, statistics and computational methodology, applications are discussed in separate chapters, each prefaced by a summary of content and relevance. Some branches of the mathematics covered might be regarded as old-fashioned but they are still vigorous and relevant today.The material is original, either in content, presentations or both, and includes topics not usually found in other texts. It treats serious mathematics respectfully and, if sometimes light in its touch, maintains the instructive tenor.

Computability, Complexity, and Languages

  • 2nd Edition
  • February 3, 1994
  • Martin Davis + 2 more
  • English
  • Hardback
    9 7 8 - 0 - 1 2 - 2 0 6 3 8 2 - 4
  • eBook
    9 7 8 - 0 - 0 8 - 0 5 0 2 4 6 - 5
Computability, Complexity, and Languages is an introductory text that covers the key areas of computer science, including recursive function theory, formal languages, and automata. It assumes a minimal background in formal mathematics. The book is divided into five parts: Computability, Grammars and Automata, Logic, Complexity, and Unsolvability.

Combinatorial Problems and Exercises

  • 2nd Edition
  • August 11, 1993
  • L. Lovász
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 3 3 0 9 - 2
The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book.Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random walks on graphs and their relations to eigenvalues, expansion properties and electrical resistance. In various chapters the author found lines of thought that have been extended in a natural and significant way in recent years. About 60 new exercises (more counting sub-problems) have been added and several solutions have been simplified.

Delay Differential Equations

  • 1st Edition
  • Volume 191
  • March 5, 1993
  • Yang Kuang
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 9 6 0 0 2 - 9
Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.