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Theoretical Mechanics For Sixth Forms
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Book Synopsis Theoretical Mechanics for Sixth Forms by : C. Plumpton
Download or read book Theoretical Mechanics for Sixth Forms written by C. Plumpton and published by Elsevier. This book was released on 2017-05-04 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical Mechanics for Sixth Forms, Volume 2 deals with mathematics as a double subject for sixth-form pupils. This book is a continuation of the revised edition of the course in Theoretical Mechanics. This volume discusses the principle of virtual work, stability of equilibrium, vector algebra, and the motion of bodies with variable mass—subjects that can help the student prepare for the freshman year in a university or in one of the polytechnic schools. Compared to the earlier edition, this volume discusses in more detail topics such as the motion of a particle in two dimensions and systems of coplanar forces. This book also emphasizes vector algebra and its many applications, explaining the concept of a vector, the Cartesian coordinates and components, the definitions of vectors and scalars, and vector applications to kinetics. This text also contains exercise problems with answers. This volume can be used for sixth-form students in the U.K. and is also suitable for third year students of a sixth form course as preparation for further studies.
Book Synopsis Advanced Theoretical Mechanics by : Brian H. Chirgwin
Download or read book Advanced Theoretical Mechanics written by Brian H. Chirgwin and published by Elsevier. This book was released on 2013-10-22 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Theoretical Mechanics deals with advanced theoretical mechanics in three dimensions, making use of concepts and methods such as matrices, vectors, tensors, and transformation methods. The definition of a vector via the transformation law obeyed by its components is emphasized, and matrix methods are used to handle sets of components. Special attention is given to the definition of angular velocity and the proof that it can be represented by a vector. This book is comprised of 11 chapters and begins with an introduction to kinematics in three dimensions. Lagrange's equations and analytical dynamics are then presented, along with the simpler problems of three-dimensional dynamics, often with the help of rotating axes. Stability and small oscillations are also considered. The subsequent chapters focus on the dynamics of a particle and the motion of a system of particles; gyroscopic motion, free rotation, and steady motion; oscillations of a dynamical system with a finite number of degrees of freedom; and the vibrations of strings. The final chapter is devoted to analytical dynamics, paying particular attention to Hamilton's principle and equations of motion as well as the Hamilton-Jacobi equation. This monograph is intended for engineers and scientists as well as students of mathematics, physics, and engineering.
Book Synopsis Sixth Form Pure Mathematics by : C. Plumpton
Download or read book Sixth Form Pure Mathematics written by C. Plumpton and published by Elsevier. This book was released on 2014-05-15 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-level is assumed and the subject is developed by a concentric treatment in which each new topic is used to illustrate ideas already treated. The major topics of Algebra, Calculus, Coordinate Geometry, and Trigonometry are developed together. This volume covers most of the Pure Mathematics required for the single subject Mathematics at Advanced Level. Early and rapid progress in calculus is made at the beginning of this volume in order to facilitate the student's progress along the most satisfactory lines in Pure Mathematics, in Theoretical Mechanics and in Physics. The worked examples are an essential feature of this book and they are followed by routine exercises within the text of each chapter, associated closely with the work on which they are dependent. The exercises at the end of each chapter collectively embody all the topics of that chapter and, where possible, the preceding chapters also.
Book Synopsis Theoretical Mechanics for Sixth Forms by : C. T. Plumpton
Download or read book Theoretical Mechanics for Sixth Forms written by C. T. Plumpton and published by . This book was released on 1974 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Arithmetic Applied Mathematics by : Donald Greenspan
Download or read book Arithmetic Applied Mathematics written by Donald Greenspan and published by Elsevier. This book was released on 2016-06-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic Applied Mathematics deals with the deterministic theories of particle mechanics using a computer approach. Models of classical physical phenomena are formulated from both Newtonian and special relativistic mechanics with the aid only of arithmetic. The computational power of modern digital computers is highlighted, along with simple models of complex physical phenomena and solvable dynamical equations for both linear and nonlinear behavior. This book is comprised of nine chapters and opens by describing an experiment with gravity, followed by a discussion on the two basic types of forces that are important in classical physical modeling: long range forces and short range forces. Gravitation and molecular attraction and repulsion are considered, along with the basic concepts of position, velocity, and acceleration. The reader is then introduced to the N-body problem; conservative and non-conservative models of complex physical phenomena; foundational concepts of special relativity; and arithmetic special relativistic mechanics in one space dimension and three space dimensions. The final chapter is devoted to Lorentz invariant computations, with emphasis on the arithmetic modeling and analysis of a harmonic oscillator. This monograph will be of interest to mathematicians, physicists, and computer scientists.
Book Synopsis Theoretical Mechanics for Sixth Forms by : Charles Plumpton
Download or read book Theoretical Mechanics for Sixth Forms written by Charles Plumpton and published by . This book was released on 1964 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Course of Mathematics for Engineers and Scientists by : Brian H. Chirgwin
Download or read book A Course of Mathematics for Engineers and Scientists written by Brian H. Chirgwin and published by Elsevier. This book was released on 2014-05-15 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course of Mathematics for Engineers and Scientists, Volume 3: Theoretical Mechanics details the fundamentals concepts of theoretical mechanics. The title first covers the foundations of mechanics, and then proceeds to tackling plane statics and virtual work. Next, the selection talks about continuously distributed forces. The text also deals with kinematics, along with particle dynamics. Chapter VII covers systems of particles, while Chapter VIII tackles the uniplanar motion of a rigid body. The ninth chapter discusses stability, and the last chapter details impulsive motion and variable mass. The book will be of great use to students of engineering and pure and applied mathematics.
Book Synopsis Mathematical Methods by : Brian H. Chirgwin
Download or read book Mathematical Methods written by Brian H. Chirgwin and published by Elsevier. This book was released on 2014-06-05 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods is an introductory course on mathematical methods for students aiming for a first degree in engineering or science. Topics covered include differentiation and integration and their applications; the geometry of two dimensions, and complex numbers. Statistics and probability are also discussed. Comprised of eight chapters, this volume begins with an introduction to fundamental concepts, including the roots of equations; elementary two-dimensional coordinate geometry; limits and continuity; inequalities and quadratic forms; mathematical induction; and convergence. The discussion then turns to the techniques of differentiation and integration and their applications; the geometry of two dimensions; and complex numbers and their roots, together with trigonometric expansions. The book concludes with a chapter on statistics and probability, paying particular attention to the properties of a frequency distribution; some special probability distributions; normal distribution and the error function; and some probability problems. This monograph is intended for students taking a course in engineering or science.
Book Synopsis A Course of Mathematics for Engineerings and Scientists by : Brian H. Chirgwin
Download or read book A Course of Mathematics for Engineerings and Scientists written by Brian H. Chirgwin and published by Elsevier. This book was released on 2013-10-22 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course of Mathematics for Engineers and Scientists offers a mathematics course for undergraduate students reading science and engineering at British and Commonwealth Universities and colleges. The aim of this volume is to generalize and develop the ideas and methods of earlier volumes so that the student can appreciate and use the mathematical methods required in the more advanced parts of physics and engineering. This book begins with elementary ideas of vector algebra which are generalized and developed in two ways. The first is an account of vector analysis and the differential and integral operations and theorems concerning vectors. These ideas find their first generalization in tensor analysis and the transformation of coordinates, including orthogonal curvilinear coordinates. The second development is to matrices, where the properties of arrays of elements, linear equations, and quadratic forms are shown to be the generalizations of elementary algebra and, using 'vector space', of familiar geometrical ideas to n dimensions. The solution of differential equations by series provides a general method for the solution of ordinary and some partial differential equations. A discussion of the properties of the solutions in the light of the Sturm-Liouville theory introduces the conceptions of eigenvalues and orthogonal functions, forming a link with matrices. A chapter on the special functions gives some of the better known properties of Bessel, Legendre, Laguerre, and Hermite functions, which commonly occur in the solution of boundary and initial value problems.
Book Synopsis New Tertiary Mathematics by : C. Plumpton
Download or read book New Tertiary Mathematics written by C. Plumpton and published by Elsevier. This book was released on 2016-05-23 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Tertiary Mathematics, Volume 2, Part 2: Further Applied Mathematics deals with various topics of theoretical mechanics and probability, from statics and the dynamics of a rigid body to the dynamics of a particle with one and two degrees of freedom. Many examples of varying difficulty are worked in the text and exercises are added after each major topic is covered. This book is comprised of five chapters and opens with a discussion on statics, with particular reference to the analysis of systems of forces in three dimensions, along with virtual work, stability, and the catenary. Complicated equilibrium problems are considered. The reader is then introduced to the dynamics of a particle in one and two dimensions, as well as the implications of the Galilean transformation and the general theorems of motion for a system of particles. These theorems are applied to simple cases of the motion of a rigid body. The final chapter on probability examines normal and Poisson distributions, Markov chains, and miscellaneous problems. This monograph will be a useful resource for mathematical pupils and students engaged in private study.
Book Synopsis Elementary Vectors by : E. Œ. Wolstenholme
Download or read book Elementary Vectors written by E. Œ. Wolstenholme and published by Elsevier. This book was released on 2014-05-18 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Vectors, Third Edition serves as an introductory course in vector analysis and is intended to present the theoretical and application aspects of vectors. The book covers topics that rigorously explain and provide definitions, principles, equations, and methods in vector analysis. Applications of vector methods to simple kinematical and dynamical problems; central forces and orbits; and solutions to geometrical problems are discussed as well. This edition of the text also provides an appendix, intended for students, which the author hopes to bridge the gap between theory and application in the real world. The text will be a superb reference material for students of higher mathematics, physics, and engineering.
Book Synopsis Prepare for Science by : C. B. Hansson
Download or read book Prepare for Science written by C. B. Hansson and published by Elsevier. This book was released on 2014-05-09 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prepare for Science: Introductory Mathematics for Physical and Engineering Sciences is an introductory text on mathematical concepts and skills needed in science and engineering, with particular reference to developing countries. Essential practical topics developed from first principles are discussed, and exercises are carefully arranged in order of difficulty so as to make the text suitable for self-study. Comprised of six chapters, this book begins with an introduction to physical quantities such as length, velocity, time, pressure, force, illumination, and electric current. Subsequent chapters deal with powers of ten (standard form, negative exponents, calculations; units (base units, prefixes, derived units, non-SI units; numerical methods (logarithms, slide rule); and error estimation (approximate numbers, experimental errors, combination of errors). The final chapter is devoted to functions, with emphasis on the mathematical relationships between measured physical quantities. This monograph is intended for students interested in learning mathematical concepts and skills necessary in the physical and engineering sciences.
Book Synopsis Introduction to CLASSICAL MECHANICS by : A.J. French
Download or read book Introduction to CLASSICAL MECHANICS written by A.J. French and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is, in essence, an updated and revised version of an earlier textbook, Newtonian Mechanics, written about fifteen years ago by one of us (APF) and published in 1971. The book has been significantly changed in emphasis as well as length. Our aim has been to produce a mechanics text, suitable for use at beginning university level, for students who have a background typified by the British sixth-form level in physics and mathematics. We hope, however, that the book will also be found useful in the teaching of mechanics at the upper levels of the secondary schools themselves. Calculus is freely used from the outset. In making the present revision we have drastically cut down on the amount of historical and more discursive material. Nevertheless, our goal has been to present classical mechanics as physics, not as applied mathematics. Although we begin at the beginning, we have aimed at developing the basic principles and their applications as rapidly as seemed reasonable, so that by the end of the book students will be able to feel that they have achieved a good working knowledge of the subject and can tackle fairly sophisticated problems. To help with this process, each chapter is followed by a good number of exercises, some of them fairly challenging. We shall be very grateful to receive comments and corrections from those who use this book.
Book Synopsis Theoretical Mechanics for Sixth Forms by : C. Plumpton
Download or read book Theoretical Mechanics for Sixth Forms written by C. Plumpton and published by Elsevier. This book was released on 2016-05-23 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical Mechanics for Sixth Forms, Second Edition is a 14-chapter book that begins by elucidating the nature of theoretical mechanics. The book then describes the statics of a particle in illustration of the techniques of handling vector quantities. Subsequent chapters focus on the principle of moments, parallel forces and centers of gravity; and the application of Newton's second law to the dynamics of a particle and the ideas of work and energy, impulse and momentum, and power. The concept of friction is also explained. This volume concludes with chapters concerning motion in a circle and simple harmonic motion. This text will serve as a more complete course for pupils taking mathematics as a single or double subject.
Book Synopsis The Theoretical Minimum by : Leonard Susskind
Download or read book The Theoretical Minimum written by Leonard Susskind and published by Basic Books. This book was released on 2014-04-22 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.
Book Synopsis Theoretical Mechanics for Sixth Forms by : Charles Plumpton
Download or read book Theoretical Mechanics for Sixth Forms written by Charles Plumpton and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quarterly List of Official Publications (with Prices and Postage Affixed) Issued by H.M. Stationery Office by :
Download or read book Quarterly List of Official Publications (with Prices and Postage Affixed) Issued by H.M. Stationery Office written by and published by . This book was released on 1912 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
