By Gani T. Stamov
By Gani T. Stamov
By Ivana Kovacic,Michael J. Brennan
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.
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:
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.
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.
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.
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.
By Anvarbek Meirmanov
By Vladimir I. Arnold,Valery V. Kozlov,Anatoly I. Neishtadt,E. Khukhro
By James S. Walker
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.
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.