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.
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.
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.
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.
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.
Download or read book An Introduction to Smooth Muscle Mechanics 2nd Edition written by Chun Y. Seow and published by Cambridge Scholars Publishing. This book was released on 2020-11-13 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition is an updated version of an introductory level textbook intended for students who are interested in understanding the mechanical properties of smooth muscle. Compared with skeletal and cardiac muscles, smooth muscle is the least understood in terms of its contraction mechanism and the structure of its contractile apparatus. Nevertheless, it is an important tissue that is vital in many organ functions, such as blood pressure control, intestinal peristalsis, and the emptying of the bladder. Dysfunction of the muscle has been implicated in many diseases such as high blood pressure, asthma, and overactive bladders. This is the only book-length treatment of functional models of a variety of smooth muscle behaviors with their corresponding mathematical descriptions, and offers an easy-to-follow, step-by-step mathematical derivation that will help students to appreciate the muscle cell as a fine-tuned aggregate of mechanisms governed by the fundamental laws of physics. In addition to providing 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. The book is a must-have information source for anyone interested in smooth muscle cell ultrastructure, physiology, biochemistry, and pharmacology.
Download or read book The Dynamics of Particles and of Rigid Elastic and Fluid Bodies written by Arthur Gordon Webster and published by . This book was released on 1904 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Dynamics of Particles and of Rigid Elastic and Fluid Bodies Being Lectures on Mathematical Physics by Arthur Gordon Webster written by Arthur Gordon Webster and published by . This book was released on 2004-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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:
Download or read book Introduction to Mechanics of Particles and Systems written by Costas J. Papachristou and published by Springer Nature. This book was released on 2020-09-09 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the author’s lecture notes for his Introductory Newtonian Mechanics course at the Hellenic Naval Academy. In order to familiarize students with the use of several basic mathematical tools, such as vectors, differential operators and differential equations, it first presents the elements of vector analysis that are needed in the subsequent chapters. Further, the Mathematical Supplement at the end of the book offers a brief introduction to the concepts of differential calculus mentioned. The main text is divided into three parts, the first of which presents the mechanics of a single particle from both the kinetic and the dynamical perspectives. The second part then focuses on the mechanics of more complex structures, such as systems of particles, rigid bodies and ideal fluids, while the third part consists of 60 fully solved problems. Though chiefly intended as a primary text for freshman-level physics courses, the book can also be used as a supplemental (tutorial) resource for introductory courses on classical mechanics for physicists and engineers
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.
Download or read book Introduction to Smooth Muscle Mechanics written by Chun y Seow and published by . This book was released on 2016-04-07 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.
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.
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.
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.
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.
