The Duffing Equation: Nonlinear Oscillators and their by Ivana Kovacic,Michael J. Brennan

By Ivana Kovacic,Michael J. Brennan

The Duffing Equation: Nonlinear Oscillators and their Behaviour brings jointly the result of a wealth of disseminated examine literature at the Duffing equation, a key engineering version with an unlimited variety of functions in technological know-how and engineering, summarizing the findings of this learn. each one bankruptcy is written by means of a professional contributor within the box of nonlinear dynamics and addresses a distinct kind of the equation, bearing on it to numerous oscillatory difficulties and obviously linking the matter with the maths that describe it. The editors and the individuals clarify the mathematical recommendations required to check nonlinear dynamics, supporting the reader with little mathematical heritage to appreciate the text.

The Duffing Equation offers a reference textual content for postgraduate and scholars and researchers of mechanical engineering and vibration / nonlinear dynamics in addition to a great tool for practicing mechanical engineers.

  • Includes a bankruptcy dedicated to old history on Georg Duffing and the equation that was once named after him.
  • Includes a bankruptcy exclusively dedicated to useful examples of structures whose dynamic behaviour is defined by way of the Duffing equation.
  • Contains a entire therapy of a number of the varieties of the Duffing equation.
  • Uses experimental, analytical and numerical equipment in addition to techniques of nonlinear dynamics to regard the actual structures in a unified way.

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Continuum Mechanics: The Birthplace of Mathematical Models by Myron B. Allen

By Myron B. Allen

Presents a self-contained advent to continuum mechanics that illustrates what percentage of the $64000 partial differential equations of utilized arithmetic come up from continuum modeling principles

Written as an available advent, Continuum Mechanics: The Birthplace of Mathematical versions provides a complete starting place for mathematical versions utilized in fluid mechanics, sturdy mechanics, and warmth move. The publication gains derivations of universal differential equations according to the elemental continuum mechanical options encountered in a number of fields, comparable to engineering, physics, and geophysics.

The e-book starts with geometric, algebraic, and analytical foundations earlier than introducing themes in kinematics. The ebook then addresses stability legislation, constitutive kin, and constitutive conception. eventually, the publication provides an method of multiconstituent continua in response to mix idea to demonstrate how phenomena, reminiscent of diffusion and porous-media move, obey continuum-mechanical principles.

Continuum Mechanics: The Birthplace of Mathematical types features:

  • Direct vector and tensor notation to lessen the reliance on specific coordinate structures while offering the theory
  • Terminology that's aligned with ordinary classes in vector calculus and linear algebra
  • The use of Cartesian coordinates within the examples and difficulties to supply readers with a well-known setting
  • Over two hundred routines and issues of tricks and ideas in an appendix
  • Introductions to constitutive conception and multiconstituent continua, that are distinct for books at this level

Continuum Mechanics: The Birthplace of Mathematical types is a great textbook for classes on continuum mechanics for upper-undergraduate arithmetic majors and graduate scholars in utilized arithmetic, mechanical engineering, civil engineering, physics, and geophysics. The ebook is additionally an exceptional reference for pro mathematicians, actual scientists, and engineers. 

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Plane Networks and their Applications by Kai Borre

By Kai Borre

This concise, fast paced textual content introduces the techniques and functions at the back of aircraft networks. It provides basic fabric from linear algebra and differential equations, and gives numerous assorted purposes of the continual conception. functional difficulties, supported by means of MATLAB records, underscore the speculation; extra fabric should be downloaded from the author's web site.

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Differential Equations for Engineers: The Essentials by David V. Kalbaugh

By David V. Kalbaugh

This ebook surveys the extensive panorama of differential equations, together with parts of partial differential equations (PDEs), and concisely offers the subjects of such a lot use to engineers. It introduces every one subject with a motivating program drawn from electric, mechanical, and aerospace engineering. The textual content has studies of foundations, step by step reasons, and units of solved difficulties. It fosters scholars’ talents within the artwork of approximation and self-checking. The booklet addresses PDEs with and with out boundary stipulations, which demonstrates powerful similarities with usual differential equations and transparent illustrations of the character of ideas. moreover, every one bankruptcy comprises be aware difficulties and problem difficulties. a number of prolonged computing initiatives run through the text.

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Large-Scale Networks in Engineering and Life Sciences by Peter Benner,Rolf Findeisen,Dietrich Flockerzi,Udo

By Peter Benner,Rolf Findeisen,Dietrich Flockerzi,Udo Reichl,Kai Sundmacher

This edited quantity offers insights into and instruments for the modeling, research, optimization, and keep watch over of large-scale networks within the existence sciences and in engineering. Large-scale platforms are usually the results of networked interactions among a number of subsystems, and their research and keep watch over have gotten more and more very important. The chapters of this ebook current the elemental recommendations and theoretical foundations of community idea and speak about its purposes in several medical components equivalent to biochemical reactions, chemical creation techniques, structures biology, electric circuits, and cellular brokers. the purpose is to spot universal ideas, to appreciate the underlying mathematical rules, and to motivate discussions around the borders of a number of the disciplines.
 
The publication originates from the interdisciplinary summer time university “Large Scale Networks in Engineering and lifestyles Sciences” hosted by means of the foreign Max Planck learn tuition Magdeburg, September 26-30, 2011, and should for this reason be of curiosity to mathematicians, engineers, physicists, biologists, chemists, and someone inquisitive about the community sciences. specifically, as a result of their introductory nature the chapters can serve separately or as a complete because the foundation of graduate classes and seminars, destiny summer season faculties, or as reference fabric for practitioners within the community sciences.

 

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Mathematical Models for Poroelastic Flows (Atlantis Studies by Anvarbek Meirmanov

By Anvarbek Meirmanov

The publication is dedicated to rigorous derivation of macroscopic mathematical types as a homogenization of tangible mathematical versions on the microscopic point. the assumption is sort of normal: one first needs to describe the joint movement of the elastic skeleton and the fluid in pores on the microscopic point via classical continuum mechanics, after which use homogenization to discover applicable approximation versions (homogenized equations). The Navier-Stokes equations nonetheless carry at this scale of the pore dimension within the order of five – 15 microns. hence, as we've got pointed out above, the macroscopic mathematical versions bought are nonetheless in the limits of actual applicability. those mathematical versions describe diversified actual tactics of liquid filtration and acoustics in poroelastic media, akin to isothermal or non-isothermal filtration, hydraulic surprise, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our examine relies upon the Nguetseng two-scale convergent method.

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Mathematical Aspects of Classical and Celestial Mechanics: 3 by Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt,E.

By Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt,E. Khukhro

the most function of the booklet is to acquaint mathematicians, physicists and engineers with classical mechanics as a complete, in either its conventional and its modern features. As such, it describes the basic rules, difficulties, and strategies of classical mechanics, with the emphasis firmly laid at the operating equipment, instead of the actual foundations or functions. Chapters disguise the n-body challenge, symmetry teams of mechanical structures and the corresponding conservation legislation, the matter of the integrability of the equations of movement, the idea of oscillations and perturbation theory.

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A Primer on Wavelets and Their Scientific Applications, by James S. Walker

By James S. Walker

within the first variation of his seminal advent to wavelets, James S. Walker educated us that the aptitude functions for wavelets have been nearly limitless. given that that point millions of released papers have confirmed him precise, whereas additionally necessitating the construction of a brand new variation of his bestselling primer. up-to-date and completely revised to incorporate the newest advancements, this moment version of A Primer on Wavelets and Their clinical Applications courses readers throughout the major rules of wavelet research that allows you to improve a radical appreciation of wavelet functions.

Ingeniously hoping on user-friendly algebra and only a smidgen of calculus, Professor Walker demonstrates how the underlying rules in the back of wavelet research could be utilized to unravel major difficulties in audio and picture processing, to boot in biology and medication.

Nearly two times so long as the unique, this new version presents

·      104 labored examples and 222 routines, constituting a veritable booklet of evaluation fabric

·         sections on biorthogonal wavelets

·         A mini-course on snapshot compression, together with an educational on mathematics compression

·         vast fabric on photograph denoising, that includes a infrequently coated approach for removal remoted, randomly located litter

·         Concise but whole insurance of the basics of time-frequency research, showcasing its program to audio denoising, and musical concept and synthesis

·         An advent to the multiresolution precept, a brand new mathematical idea in musical conception

·         extended feedback for study initiatives

·         An more desirable checklist of references

·         FAWAV: software program designed by way of the writer, which permits readers to copy defined functions and scan with different principles.

To maintain the publication present, Professor Walker has created a supplementary web site. This on-line repository contains ready-to-download software program, and sound and photograph documents, in addition to entry to a few of the most crucial papers within the field.

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Scaling Limits in Statistical Mechanics and Microstructures by Errico Presutti

By Errico Presutti

Collective habit in platforms with many parts, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic structures, a subject which has continuously intrigued scientists and philosophers. sleek applied sciences have made the query extra real and urban with fresh, striking progresses additionally from a mathematical perspective. The booklet specializes in the hyperlinks connecting statistical and continuum mechanics and, ranging from straightforward introductions to either theories, it results in real examine subject matters. Mathematical concepts and techniques from likelihood, calculus of diversifications and PDE are mentioned at length.

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