This self-contained introductory text stresses a learn by doing' approach to numerical analysis with exercises to be done on a computer or micro-computer. Unlike software'' books, this text thoroughly explains methods used for solving problems with sufficient analysis to show why--and why not--they work. Discussions of theorem proofs are kept to a minimum.
Methods of Applied Mathematics (Dover Books on Mathematics)
by Francis B Hildebrand
This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.
Nature's Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering)
by Bruce J West
Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system's functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system's information gradient. Based on first principles, the scaling behavior of the probability density fun...
Multiple Criteria Decision Making with Fuzzy Sets (Multiple Criteria Decision Making)
Using numerical examples to illustrate their concepts and results, this book examines recently developed fuzzy multi-criteria methods, such as Intuitionistic Fuzzy TOPSIS, Intuitionistic Fuzzy TOPSIS & DEA-AHP, Intuitionistic VIKOR, Pythagorean WASPAS, Pythagorean ENTROPI, Hesitant CBD, Hesitant MABAC, Triangular EDAS, Triangular PROMETHEE, q-Rung Orthopair COPRAS, and Fuzzy Type – 2 ELECTRE. Each chapter covers practical applications in addition to fresh developments and results. Given its str...
Gamblers have been trying to figure out how to game the system since our ancestors first made wagers over dice fashioned from knucklebones: in revolutionary Paris, the 'martingale' strategy was rumoured to lead to foolproof success at the roulette table; now, in the 21st century, professional gamblers are using cutting-edge techniques to tilt the odds further in their favour. At the roulette wheel, card table or racecourse, science is giving us the competitive edge over opponents, casinos and b...
In Zyklen der Zeit entwirft Roger Penrose eine voellig neue Betrachtungsweise der Kosmologie - mit uberraschenden Antworten auf die oft gestellte Frage: Was war vor dem Urknall? Der Schlussel zu dieser neuen Penrose-Kosmologie sind der beruhmte Zweite Hauptsatz der Thermodynamik - dem zufolge die Unordnung der Welt insgesamt standig zunimmt - und die Lichtkegel-Geometrie der Raumzeit - die die Grenzen der beobachtbaren Vergangenheit und Zukunft bestimmt. Penrose verknupft in diesem Buch beide p...
Finite Elements and Fast Iterative Solvers
by Professor of Computer Science Howard Elman, Professor David Silvester, and Reader in Numerical Analysis Andy Wathen
This book describes why and how to do Scientific Computing for fundamental models of fluid flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely available MATLAB codes that implement the methods described. The focus is on finite element approximation methods and fast iterative solution methods for the consequent linear(ized) systems arising in important problems that model incompressible fluid flow. The problems addressed are the Poisson equation, Con...
Navier Stokes Equations and Turbulence. Encyclopedia of Mathematics and Its Applications 83
by C Foias, Oscar Manley, Ricardo M S Rosa, and Roger Temam
C. Doleans-Dade: Stochastic processes and stochastic differential equations.- A. Friedman: Stochastic differential equations and applications.- D.W. Stroock, S.R.S. Varadhan: Theory of diffusion processes.- G.C. Papanicolaou: Wave propagation and heat conduction in a random medium.- C. Dewitt Morette: A stochastic problem in Physics.- G.S. Goodman: The embedding problem for stochastic matrices.
User's Approach For Topological Methods In 3d Dynamical Systems, The
by Mario A. Natiello
This book presents the development and application of some topological methods in the analysis of data coming from 3D dynamical systems (or related objects). The aim is to emphasize the scope and limitations of the methods, what they provide and what they do not provide. Braid theory, the topology of surface homeomorphisms, data analysis and the reconstruction of phase-space dynamics are thoroughly addressed.
Riemann Problems and Jupyter Solutions (Fundamentals of Algorithms)
by David I. Ketcheson, Randall J Leveque, and Mauricio J. del Razo
This book addresses an important class of mathematical problems (the Riemann problem) for first-order hyperbolic partial differential equations (PDEs), which arise when modeling wave propagation in applications such as fluid dynamics, traffic flow, acoustics, and elasticity. It covers the fundamental ideas related to classical Riemann solutions, including their special structure and the types of waves that arise, as well as the ideas behind fast approximate solvers for the Riemann problem. The...
This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields, describing vector fields in three-dimensional Euclidean space, triply-orthogonal systems and applications in mechanics. Topics covered include Pfaffian forms, systems in n-dimensional space, and foliations and their Godbillion-Vey invariant. There is much interest in the study of geometrical objects in n-dimensional Euclidean space and this volume provides a us...
Professor Ralph Kleinman was director of the Center for the Mathematics of Waves and held the UNIDEL Professorship of the University of Delaware. Before his death in 1998, he made major scientific contributions in the areas of electromagnetic scattering, wave propagation, and inverse problems. He was instrumental in bringing together the mathematic
Small Universal Cellular Automata in Hyperbolic Spaces
by Maurice Margenstern
Microfluidics: Modeling, Mechanics and Mathematics (Micro & Nano Technologies)
by Bastian E. Rapp
This practical, lab-based approach to nano- and microfluidics provides readers with a wealth of practical techniques, protocols, and experiments ready to be put into practice in both research and industrial settings. The practical approach is ideally suited to researchers and R&D staff in industry; additionally the interdisciplinary approach to the science of nano- and microfluidics enables readers from a range of different academic disciplines to broaden their understanding. Dr Rapp fully en...
Material Identification Using Mixed Numerical Experimental Methods
Euromech 357 took place in the nice authentic monastery 'Rolduc' in Kerkrade, Holland. The objective was to bring together researchers to present their latest advancements in the relatively new domain of Material properties identification by Mixed Numerical Experimental Methods (MMM). MMM are a modem and increasingly powerful way to determine the values of unknown parameters in a numerical model by observations made on real physical test structures. Starting from the measurement of output values...
Applications of Fibonacci Numbers
This book contains 58 papers from among the 68 papers presented at the Fifth International Conference on Fibonacci Numbers and Their Applications which was held at the University of St. Andrews, St. Andrews, Fife, Scotland from July 20 to July 24, 1992. These papers have been selected after a careful review by well known referees in the field, and they range from elementary number theory to probability and statistics. The Fibonacci numbers and recurrence relations are their unifying bond. It is...
Energy Methods in Continuum Mechanics
This volume contains the proceedings of the Workshop Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, from March 21 to March 23, 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques usually employed in the studies of scalar uncoupled equations such as, for instance, the maximum princ...
Computational Methods for Nonlinear Dynamical Systems
by Xuechuan Wang, Xiaokui Yue, Honghua Dai, Satya N Atluri, and Haoyang Feng
Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods fo...
Statistical Analysis of Secondary School Teachers' Attitudes Towards Mathematics
by Pak-Hong Cheung
Introduction to Mathematical Systems Theory (Texts in Applied Mathematics, #26)
by Jan Willem Polderman and Jan C. Willems
This is a book about modelling, analysis and control of linear time- invariant systems. The book uses what is called the behavioral approach towards mathematical modelling. Thus a system is viewed as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. In the first part of the book the structure of the set of trajectories that such dynamical systems generate is analyzed. Conditions are ob...
Computer Modelling in Tomography and Ill-Posed Problems (Inverse and Ill-Posed Problems, #27)
by Mikhail M. Lavrent'ev, Sergei M Zerkal, and Oleg E Trofimov
This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012. Domain decomposition is an active and interdisciplinary research discipline, focusing on the development, analysis and implementation of numerical methods for massively parallel computers. Domain decomposition methods are among the most efficient solvers for large scale applications in science and engineerin...