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Download full pdf book Differential Equations as Models in Science and Engineering by Gregory Baker available in full 392 pages, and make sure to check out other latest books Mathematics related to Differential Equations as Models in Science and Engineering below.Differential Equations as Models in Science and Engineering
By Gregory Baker ISBN Code: : 9814656992
 Publisher : World Scientific Publishing Company
 Pages : 392
 Category : Mathematics
 Reads : 873
 Book Compatibility : Pdf, ePub, Mobi, Kindle
 Pdf : differentialequationsasmodelsinscienceandengineering.pdf
Book Excerpt :
This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical concepts that lead to constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solution is placed center stage in this volume.
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Book Short Summary:
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 Pdf File: appliedmathematicalmodellingofengineeringproblems.pdf
Book Short Summary:
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 Pdf File: solvingdifferentialequationsinr.pdf
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By Reza N. Jazar File : Pdf, ePub, Mobi, Kindle
 Publisher : Springer Nature
 Book Code : 1071604805
 Total of Pages : 537
 Category : Technology & Engineering
 Members : 946
 Pdf File: approximationmethodsinscienceandengineering.pdf
Book Short Summary:
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. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energyrate method to study the stability of parametric differential equations that generates much better approximate solutions.
Simulation and Inference for Stochastic Differential Equations
By Stefano M. Iacus File : Pdf, ePub, Mobi, Kindle
 Publisher : Springer Science & Business Media
 Book Code : 0387758399
 Total of Pages : 285
 Category : Computers
 Members : 441
 Pdf File: simulationandinferenceforstochasticdifferentialequations.pdf
Book Short Summary:
This book covers a highly relevant and timely topic that is of wide interest, especially in finance, engineering and computational biology. The introductory material on simulation and stochastic differential equation is very accessible and will prove popular with many readers. While there are several recent texts available that cover stochastic differential equations, the concentration here on inference makes this book stand out. No other direct competitors are known to date. With an emphasis on the practical implementation of the simulation and estimation methods presented, the text will be useful to practitioners and students with minimal mathematical background. What’s more, because of the many R programs, the information here is appropriate for many mathematically well educated practitioners, too.
Random Fields for Spatial Data Modeling
By Dionissios T. Hristopulos File : Pdf, ePub, Mobi, Kindle
 Publisher : Springer Nature
 Book Code : 9402419187
 Total of Pages : 867
 Category : Science
 Members : 522
 Pdf File: randomfieldsforspatialdatamodeling.pdf
Book Short Summary:
This book provides an interdisciplinary introduction to the theory of random fields and its applications. Spatial models and spatial data analysis are integral parts of many scientific and engineering disciplines. Random fields provide a general theoretical framework for the development of spatial models and their applications in data analysis. The contents of the book include topics from classical statistics and random field theory (regression models, Gaussian random fields, stationarity, correlation functions) spatial statistics (variogram estimation, model inference, krigingbased prediction) and statistical physics (fractals, Ising model, simulated annealing, maximum entropy, functional integral representations, perturbation and variational methods). The book also explores links between random fields, Gaussian processes and neural networks used in machine learning. Connections with applied mathematics are highlighted by means of models based on stochastic partial differential equations. An interlude on autoregressive time series provides useful lowerdimensional analogies and a connection with the classical linear harmonic oscillator. Other chapters focus on nonGaussian random fields and stochastic simulation methods. The book also presents results based on the author’s research on Spartan random fields that were inspired by statistical field theories originating in physics. The equivalence of the onedimensional Spartan random field model with the classical, linear, damped harmonic oscillator driven by white noise is highlighted. Ideas with potentially significant computational gains for the processing of big spatial data are presented and discussed. The final chapter concludes with a description of the KarhunenLoève expansion of the Spartan model. The book will appeal to engineers, physicists, and geoscientists whose research involves spatial models or spatial data analysis. Anyone with background in probability and statistics can read at least parts of the book. Some chapters will be easier to understand by readers familiar with differential equations and Fourier transforms.
Introduction to Mathematical Modeling and Chaotic Dynamics
By Ranjit Kumar Upadhyay,Satteluri R. K. Iyengar File : Pdf, ePub, Mobi, Kindle
 Publisher : CRC Press
 Book Code : 1439898871
 Total of Pages : 363
 Category : Mathematics
 Members : 283
 Pdf File: introductiontomathematicalmodelingandchaoticdynamics.pdf
Book Short Summary:
Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are solved using MATLAB®. The book first covers the necessary mathematical preliminaries, including testing of stability. It then describes the modeling of systems from natural science, focusing on one and twodimensional continuous and discrete time models. Moving on to chaotic dynamics, the authors discuss ways to study chaos, types of chaos, and methods for detecting chaos. They also explore chaotic dynamics in single and multiple species systems. The text concludes with a brief discussion on models of mechanical systems and electronic circuits. Suitable for advanced undergraduate and graduate students, this book provides a practical understanding of how the models are used in current natural science and engineering applications. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Differential Equations  Geometry, Symmetries and Integrability
By Boris Kruglikov,Valentin Lychagin,Eldar Straume File : Pdf, ePub, Mobi, Kindle
 Publisher : Springer Science & Business Media
 Book Code : 3642008739
 Total of Pages : 386
 Category : Mathematics
 Members : 512
 Pdf File: differentialequationsgeometrysymmetriesandintegrability.pdf
Book Short Summary:
The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. Following the tradition of Monge, Abel and Lie, the scientific program emphasized the role of algebrogeometric methods, which nowadays permeate all mathematical models in natural and engineering sciences. The ideas of invariance and symmetry are of fundamental importance in the geometric approach to differential equations, with a serious impact coming from the area of integrable systems and field theories. This volume consists of original contributions and broad overview lectures of the participants of the Symposium. The papers in this volume present the modern approach to this classical subject.
Fourier Series and Numerical Methods for Partial Differential Equations
By Richard Bernatz File : Pdf, ePub, Mobi, Kindle
 Publisher : John Wiley & Sons
 Book Code : 9780470651377
 Total of Pages : 332
 Category : Mathematics
 Members : 470
 Pdf File: fourierseriesandnumericalmethodsforpartialdifferentialequations.pdf
Book Short Summary:
The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens and extends readers' knowledge of the power of linear spaces and linear transformations for purposes of understanding and solving a wide range of PDEs. The book begins with an introduction to the general terminology and topics related to PDEs, including the notion of initial and boundary value problems and also various solution techniques. Subsequent chapters explore: The solution process for SturmLiouville boundary value ODE problems and a Fourier series representation of the solution of initial boundary value problems in PDEs The concept of completeness, which introduces readers to Hilbert spaces The application of Laplace transforms and Duhamel's theorem to solve timedependent boundary conditions The finite element method, using finite dimensional subspaces The finite analytic method with applications of the Fourier series methodology to linear version of nonlinear PDEs Throughout the book, the author incorporates his own classtested material, ensuring an accessible and easytofollow presentation that helps readers connect presented objectives with relevant applications to their own work. Maple is used throughout to solve many exercises, and a related Web site features Maple worksheets for readers to use when working with the book's one and multidimensional problems. Fourier Series and Numerical Methods for Partial Differential Equations is an ideal book for courses on applied mathematics and partial differential equations at the upperundergraduate and graduate levels. It is also a reliable resource for researchers and practitioners in the fields of mathematics, science, and engineering who work with mathematical modeling of physical phenomena, including diffusion and wave aspects.
Applied Mathematics And Modeling For Chemical Engineers
By Richard G. Rice,Duong D. Do File : Pdf, ePub, Mobi, Kindle
 Publisher : John Wiley & Sons
 Book Code : 1118343026
 Total of Pages : 396
 Category : Technology & Engineering
 Members : 258
 Pdf File: appliedmathematicsandmodelingforchemicalengineers.pdf
Book Short Summary:
This Second Edition of the goto reference combines the classical analysis and modern applications of applied mathematics for chemical engineers. The book introduces traditional techniques for solving ordinary differential equations (ODEs), adding new material on approximate solution methods such as perturbation techniques and elementary numerical solutions. It also includes analytical methods to deal with important classes of finitedifference equations. The last half discusses numerical solution techniques and partial differential equations (PDEs). The reader will then be equipped to apply mathematics in the formulation of problems in chemical engineering. Like the first edition, there are many examples provided as homework and worked examples.
Systems Performance Modeling
By Adarsh Anand,Mangey Ram File : Pdf, ePub, Mobi, Kindle
 Publisher : Walter de Gruyter GmbH & Co KG
 Book Code : 3110619059
 Total of Pages : 192
 Category : Technology & Engineering
 Members : 244
 Pdf File: systemsperformancemodeling.pdf
Book Short Summary:
This book describes methods to improve software performance and safety using advanced mathematical and computational analytics. The main focus is laid on the increase of software reliability by preventive and predictive maintenance with efficient usage of modern testing resources. The editors collect contributions from international researchers in the field.
Principles of Mathematical Modeling
By Clive Dym File : Pdf, ePub, Mobi, Kindle
 Publisher : Elsevier
 Book Code : 0080470289
 Total of Pages : 303
 Category : Mathematics
 Members : 901
 Pdf File: principlesofmathematicalmodeling.pdf
Book Short Summary:
Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. Prospective students should have already completed courses in elementary algebra, trigonometry, and firstyear calculus and have some familiarity with differential equations and basic physics. Serves as an introductory text on the development and application of mathematical models Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems Offers more than 360 problems, providing ample opportunities for practice Covers a wide range of interdisciplinary topicsfrom engineering to economics to the sciences Uses straightforward language and explanations that make modeling easy to understand and apply New to this Edition: A more systematic approach to mathematical modeling, outlining ten specific principles Expanded and reorganized chapters that flow in an increasing level of complexity Several new problems and updated applications Expanded figure captions that provide more information Improved accessibility and flexibility for teaching