Mathematical Mechanics From Particle To Muscle

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Mathematical Mechanics

Author : Ellis D. Cooper
Publisher : World Scientific
ISBN 13 : 9814289701
Total Pages : 390 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Mathematical Mechanics by : Ellis D. Cooper

Download or read book Mathematical Mechanics written by Ellis D. Cooper and published by World Scientific. This book was released on 2011 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unprecedented book offers all the details of the mathematical mechanics underlying state-of-the-art modeling of skeletal muscle contraction. The aim is to provide an integrated vision of mathematics, physics, chemistry and biology for this one understanding. The method is to take advantage of modern mathematical technology — Eilenberg-Mac Lane category theory, Robinson infinitesimal calculus and Kolmogorov probability theory — to examine a succession of distinguishable universes of particles, and continuous, thermodynamic, chemical, and molecular bodies, all with a focus on proofs by algebraic calculation without set theory. Also provided are metaphors and analogies, and careful distinction between representational pictures, mental model drawings, and mathematical diagrams.High school mathematics teachers, undergraduate and graduate college students, and researchers in mathematics, physics, chemistry, and biology may use this integrated publication to broaden their perspective on science, and to experience the precision that mathematical mechanics brings to understanding the muscular mechanism of nearly all animal behavior.

Mathematical Mechanics: From Particle To Muscle

Author : Ellis D Cooper
Publisher : World Scientific
ISBN 13 : 981446631X
Total Pages : 390 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Mathematical Mechanics: From Particle To Muscle by : Ellis D Cooper

Download or read book Mathematical Mechanics: From Particle To Muscle written by Ellis D Cooper and published by World Scientific. This book was released on 2011-03-28 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unprecedented book offers all the details of the mathematical mechanics underlying modern modeling of skeletal muscle contraction. The aim is to provide an integrated vision of mathematics, physics, chemistry and biology for this one understanding. The method is to take advantage of latest mathematical technologies — Eilenberg-Mac Lane category theory, Robinson infinitesimal calculus and Kolmogorov probability theory — to explicate Particle Mechanics, The Theory of Substances (categorical thermodynamics), and computer simulation using a diagram-based parallel programming language (stochastic timing machinery). Proofs rely almost entirely on algebraic calculations without set theory. Metaphors and analogies, and distinctions between representational pictures, mental model drawings, and mathematical diagrams are offered.AP level high school calculus students, high school science teachers, undergraduates and graduate college students, and researchers in mathematics, physics, chemistry, and biology may use this integrated publication to broaden their perspective on science, and to experience the precision that mathematical mechanics brings to understanding the molecular mechanism vital for nearly all animal behavior.

Particle Mechanics

Author : Chris Collinson
Publisher : Butterworth-Heinemann
ISBN 13 : 0340610468
Total Pages : 222 pages
Book Rating : 4.3/5 (46 download)

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Book Synopsis Particle Mechanics by : Chris Collinson

Download or read book Particle Mechanics written by Chris Collinson and published by Butterworth-Heinemann. This book was released on 1995-09-16 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Assumes no prior knowledge * Adopts a modelling approach * Numerous tutorial problems, worked examples and exercises included * Elementary topics augmented by planetary motion and rotating frames This text provides an invaluable introduction to mechanicsm confining attention to the motion of a particle. It begins with a full discussion of the foundations of the subject within the context of mathematical modelling before covering more advanced topics including the theory of planetary orbits and the use of rotating frames of reference. Truly introductory , the style adoped is perfect for those unfamiliar with the subject and , as emphasis is placed on understanding, readers who have already studied maechanics will also find a new insight into a fundamental topic.

Mechanics

Author : W. Chester
Publisher : Springer
ISBN 13 : 9780412439407
Total Pages : 400 pages
Book Rating : 4.4/5 (394 download)

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Book Synopsis Mechanics by : W. Chester

Download or read book Mechanics written by W. Chester and published by Springer. This book was released on 1979-12-31 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: When I began to write this book, I originally had in mind the needs of university students in their first year. May aim was to keep the mathematics simple. No advanced techniques are used and there are no complicated applications. The emphasis is on an understanding of the basic ideas and problems which require expertise but do not contribute to this understanding are not discussed. How ever, the presentation is more sophisticated than might be considered appropri ate for someone with no previous knowledge of the subject so that, although it is developed from the beginning, some previous acquaintance with the elements of the subject would be an advantage. In addition, some familiarity with element ary calculus is assumed but not with the elementary theory of differential equations, although knowledge of the latter would again be an advantage. It is my opinion that mechanics is best introduced through the motion of a particle, with rigid body problems left until the subject is more fully developed. However, some experienced mathematicians consider that no introduction is complete without a discussion of rigid body mechanics. Conventional accounts of the subject invariably include such a discussion, but with the problems restricted to two-dimensional ones in the books which claim to be elementary. The mechanics of rigid bodies is therefore included but there is no separate discussion of the theory in two dimensions.

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

Author : E. T. Whittaker
Publisher : Cambridge University Press
ISBN 13 : 9780521358835
Total Pages : 482 pages
Book Rating : 4.3/5 (588 download)

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Book Synopsis A Treatise on the Analytical Dynamics of Particles and Rigid Bodies by : E. T. Whittaker

Download or read book A Treatise on the Analytical Dynamics of Particles and Rigid Bodies written by E. T. Whittaker and published by Cambridge University Press. This book was released on 1988-12-15 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.

Introduction to Smooth Muscle Mechanics

Author : Chun Y. Seow
Publisher :
ISBN 13 : 9781460283349
Total Pages : 228 pages
Book Rating : 4.2/5 (833 download)

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Book Synopsis Introduction to Smooth Muscle Mechanics by : Chun Y. Seow

Download or read book Introduction to Smooth Muscle Mechanics written by Chun Y. Seow and published by . This book was released on 2018-02-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory level textbook for students who are interested in understanding mechanical properties of smooth muscle, a vital tissue that is instrumental in many organ functions such as blood pressure control, intestinal peristalsis, and emptying of a bladder. Dysfunction of the muscle has been implicated in many diseases such as high blood pressure, asthma, and overactive bladders. This is the first book-length treatment of functional models of a variety of smooth muscle behaviors with mathematical description. No prior knowledge of muscle physiology is required. An easy-to-follow, step-by-step mathematical derivation helps students to appreciate the muscle cell as a fine-tuned aggregate of mechanisms governed by fundamental laws of physics. This book is useful for students and researchers in life sciences who are interested in the basic mechanism of muscle contraction or who simply use the tissue as a tool in their investigation. Besides a detailed description of the known subcellular structure and mechanical function of the contractile apparatus of smooth muscle, it also covers experimentation techniques, instrumentation, and data analysis, a must-have information source for anyone interested in smooth muscle cell physiology....

A New Formulation of Particle Mechanics

Author : Reese T. Prosser
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A New Formulation of Particle Mechanics by : Reese T. Prosser

Download or read book A New Formulation of Particle Mechanics written by Reese T. Prosser and published by . This book was released on 1966 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: The search for an explanation of the movement of the planet, the universe, and everything has been pursued since ancient times. The purpose of this paper is to provide an abstract formulation of the concept of a mechanical system which contains both the classical formulation and the quantum formulation as accepted formulations as special cases. The description of such a structure would clarify the relations between the two and illuminate the role of the correspondence principle in passing from one to the other.

Mechanics of Groups of Particles

Author : T. Bridgeman
Publisher : Palgrave
ISBN 13 : 9780333317921
Total Pages : 82 pages
Book Rating : 4.3/5 (179 download)

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Book Synopsis Mechanics of Groups of Particles by : T. Bridgeman

Download or read book Mechanics of Groups of Particles written by T. Bridgeman and published by Palgrave. This book was released on 1984 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science

Author : Leon O. Chua
Publisher : World Scientific
ISBN 13 : 9814460885
Total Pages : 579 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science by : Leon O. Chua

Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O. Chua and published by World Scientific. This book was released on 2013 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text uncovers secret recipes from the abstract theory of one-dimensional cellular automata for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables.

Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts

Author : Pawel Olejnik
Publisher : #N/A
ISBN 13 : 9813225300
Total Pages : 277 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts by : Pawel Olejnik

Download or read book Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts written by Pawel Olejnik and published by #N/A. This book was released on 2017-07-07 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Each chapter provides the reader with both the theoretical background and results of verified and useful computations, including solutions of the problems of modeling and application of friction laws in numerical computations, results from finding and analyzing impact solutions, the analysis and control of dynamical systems with discontinuities, etc. The contents offer a smooth correspondence between science and engineering and will allow the reader to discover new ideas. Also emphasized is the unity of diverse branches of physics and mathematics towards understanding complex piecewise-smooth dynamical systems. Mathematical models presented will be important in numerical experiments, experimental measurements, and optimization problems found in applied mechanics.

Classical Mechanics

Author : Jan Awrejcewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461437911
Total Pages : 453 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Classical Mechanics by : Jan Awrejcewicz

Download or read book Classical Mechanics written by Jan Awrejcewicz and published by Springer Science & Business Media. This book was released on 2012-07-26 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of three, devoted to Mechanics. This book contains classical mechanics problems including kinematics and statics. It is recommended as a supplementary textbook for undergraduate and graduate students from mechanical and civil engineering, as well as for physical scientists and engineers. It contains a basic introduction to classical mechanics, including fundamental principles, statics, and the geometry of masses, as well as thorough discussion on kinematics.

Integral Dynamical Models: Singularities, Signals And Control

Author : Denis Sidorov
Publisher : World Scientific
ISBN 13 : 9814619205
Total Pages : 258 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Integral Dynamical Models: Singularities, Signals And Control by : Denis Sidorov

Download or read book Integral Dynamical Models: Singularities, Signals And Control written by Denis Sidorov and published by World Scientific. This book was released on 2014-09-05 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations. It may be used as an advanced textbook by postgraduate students to study integral dynamical models and their applications in machine learning, electrical and electronic engineering, operations research and image analysis.

Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Vi)

Author : Leon O Chua
Publisher : World Scientific
ISBN 13 : 9814460893
Total Pages : 579 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Vi) by : Leon O Chua

Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Vi) written by Leon O Chua and published by World Scientific. This book was released on 2013-07-10 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), or blue (for binary state 0), forming a toy universe of 256 Boolean cubes, each bearing a different vertex color combination.The corresponding collection of 256 distinct Boolean cubes are then segegrated logically into 6 distinct groups where members from each group share certain common dynamics which allow the long-term evolution of the color configuration of each bit string, of arbitrary length, to be predicted painlessly, via a toy-like gaming procedure, without involving any calculation. In particular, the evolution of any bit string bearing any initial color configuration which resides in any one of the possibly many distinct attractors, can be systematically predicted, by school children who are yet to learn arithmetic, via a simple recipe, for any Boolean cube belonging to group 1, 2, 3, or 4. The simple recipe for predicting the time-asymptotic behaviors of Boolean cubes belonging to groups 1, 2, and 3 has been covered in Vols. I, II, ..., V.This final volume continues the recipe for each of the 108, out of 256, local rules, dubbed the Bernoulli rules, belonging to group 4. Here, for almost half of the toy universe, surprisingly simple recipes involving only the following three pieces of information are derived in Vol. VI; namely, a positive integer τ, a positive, or negative, integer σ, and a sign parameter β > 0, or β 0. In particular, given any color configuration belonging to an attractor of any one of the 108 Boolean cubes from group 4, any child can predict the color configuration after τ generations, without any computation, by merely shifting each cell σ bits to the left (resp. right) if σ 0 (resp. σ

Advances in Mechanics and Mathematics

Author : David Yang Gao
Publisher : Springer
ISBN 13 : 9781461379591
Total Pages : 0 pages
Book Rating : 4.3/5 (795 download)

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Book Synopsis Advances in Mechanics and Mathematics by : David Yang Gao

Download or read book Advances in Mechanics and Mathematics written by David Yang Gao and published by Springer. This book was released on 2011-09-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: As any human activity needs goals, mathematical research needs problems -David Hilbert Mechanics is the paradise of mathematical sciences -Leonardo da Vinci Mechanics and mathematics have been complementary partners since Newton's time and the history of science shows much evidence of the ben eficial influence of these disciplines on each other. Driven by increasingly elaborate modern technological applications the symbiotic relationship between mathematics and mechanics is continually growing. However, the increasingly large number of specialist journals has generated a du ality gap between the two partners, and this gap is growing wider. Advances in Mechanics and Mathematics (AMMA) is intended to bridge the gap by providing multi-disciplinary publications which fall into the two following complementary categories: 1. An annual book dedicated to the latest developments in mechanics and mathematics; 2. Monographs, advanced textbooks, handbooks, edited vol umes and selected conference proceedings. The AMMA annual book publishes invited and contributed compre hensive reviews, research and survey articles within the broad area of modern mechanics and applied mathematics. Mechanics is understood here in the most general sense of the word, and is taken to embrace relevant physical and biological phenomena involving electromagnetic, thermal and quantum effects and biomechanics, as well as general dy namical systems. Especially encouraged are articles on mathematical and computational models and methods based on mechanics and their interactions with other fields. All contributions will be reviewed so as to guarantee the highest possible scientific standards.

An Analysis of Muscle Mechanics with Application to Flows from Muscle-walled Tubes

Author : Linley Margaret Martin
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (222 download)

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Book Synopsis An Analysis of Muscle Mechanics with Application to Flows from Muscle-walled Tubes by : Linley Margaret Martin

Download or read book An Analysis of Muscle Mechanics with Application to Flows from Muscle-walled Tubes written by Linley Margaret Martin and published by . This book was released on 1975 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wave Momentum And Quasi-particles In Physical Acoustics

Author : Gerard A Maugin
Publisher : World Scientific
ISBN 13 : 9814663808
Total Pages : 250 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Wave Momentum And Quasi-particles In Physical Acoustics by : Gerard A Maugin

Download or read book Wave Momentum And Quasi-particles In Physical Acoustics written by Gerard A Maugin and published by World Scientific. This book was released on 2015-03-26 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique volume presents an original approach to physical acoustics with additional emphasis on the most useful surface acoustic waves on solids. The study is based on foundational work of Léon Brillouin, and application of the celebrated invariance theorem of Emmy Noether to an element of volume that is representative of the wave motion.This approach provides an easy interpretation of typical wave motions of physical acoustics in bulk, at surfaces, and across interfaces, in the form of the motion of associated quasi-particles. This type of motion, Newtonian or not, depends on the wave motion considered, and on the original modeling of the continuum that supports it. After a thoughtful review of Brillouin's fundamental ideas related to radiative stresses, wave momentum and action, and the necessary reminder on modern nonlinear continuum thermomechanics, invariance theory and techniques of asymptotics, a variety of situations and models illustrates the power and richness of the approach and its strong potential in applications. Elasticity, piezoelectricity and new models of continua with nonlinearity, viscosity and some generalized features (microstructure, weak or strong nonlocality) or unusual situations (bounding surface with energy, elastic thin film glued on a surface waveguide), are considered, exhibiting thus the versatility of the approach.This original book offers an innovative vision and treatment of the problems of wave propagation in deformable solids. It opens up new horizons in the theoretical and applied facets of physical acoustics.

Control Of Imperfect Nonlinear Electromechanical Large Scale Systems: From Dynamics To Hardware Implementation

Author : Luigi Fortuna
Publisher : World Scientific
ISBN 13 : 9813227257
Total Pages : 147 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Control Of Imperfect Nonlinear Electromechanical Large Scale Systems: From Dynamics To Hardware Implementation by : Luigi Fortuna

Download or read book Control Of Imperfect Nonlinear Electromechanical Large Scale Systems: From Dynamics To Hardware Implementation written by Luigi Fortuna and published by World Scientific. This book was released on 2017-05-19 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a class of uncertain systems that are called imperfect, and shows how much systems can regularly work if an appropriate control strategy is adopted. Along with some practical well studied examples, a formalization of the models for imperfect system is considered and a control strategy is proposed. Experimental case studies on electromechanical systems are also included.New concepts, experimental innovative circuits and laboratory details allow the reader to implement at low cost the outlined strategy. Emergent topics in nonlinear device realization are emphasized with the aim to allow researchers and students to perform experiments with large scale electromechanical systems. Moreover, the possibility of using imperfections and noise to generate nonlinear strange behavior is discussed.