A Course of Mathematics for Engineers and Scientists, Volume 4 focuses on mathematical methods required in the more advanced parts of physics and engineering. Organized into five chapters, this book begins by elucidating vector analysis and the differential and integral operations and theorems concerning vectors. Chapter II shows solution of ordinary and some partial differential equations. Chapter III addresses the properties of Bessel, Legendre, Laguerre, and Hermite functions that commonly occur in the solution of boundary and initial value problems. The last two chapters detail the differential equations of field lines and level surfaces, as well as the matrices. This book will be useful to undergraduate students so that they can appreciate and use the mathematical methods required in the more advanced parts of physics and engineering.
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.
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.
A Course of Mathematics for Engineers and Scientists, Volume 1 studies the various concepts in pure and applied mathematics, specifically the technique and applications of differentiation and integration of one variable, geometry of two dimensions, and complex numbers. The book is divided into seven chapters, wherein the first of which presents the introductory concepts, such as the functional notation and fundamental definitions; the roots of equations; and limits and continuity. The text then tackles the techniques and applications of differentiation and integration. Geometry of two dimensions and complex numbers are also encompassed in the book. The text will be very invaluable to students of pure and applied mathematics and engineering, as well as those mathematicians and engineers who need a refresher on the topic.
A Course of Mathematics for Engineers and Scientists, Volume 3: Theoretical Mechanics introduces the concepts of virtual work, generalized coordinates and the derivation of generalized forces from the potential energy function. This book is composed of 10 chapters and begins with the principles of mechanics, plane statistics, virtual work, and continuously distributed forces. The succeeding chapters deal with the motion of a particle and the uniplanar motion of a rigid body, as well as the concept of particle dynamics. These topics are followed by discussions of the motions of interacting particles and the principles of stability. The final chapter describes the impulsive motion of a system of particles and collision between bodies. This book will be of value to mathematics and engineering students.
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.
Magnetohydrodynamics with Hydrodynamics, Volume 1 details various concepts in magnetohydrodynamics as it relates to hydrodynamics. The title first covers the methods and techniques appropriate to an elementary discussion of magnetohydrodynamics, and then proceeds to tackling the fundamental results of fluid dynamics. Next, the selection discusses the electromagnetic effects, along with the motion of a fluid in a uniform magnetic field. In the last chapter, the text talks about steady states and equilibrium configuration. The book will be of great interest to students, researchers, and practitioners of physics and engineering.
A Course of Mathematics for Engineers and Scientists, Volume 2 continues the course of pure and applied mathematics for undergraduate science and engineering students. It contains further examples and exercises from examination papers from Oxford University, Cambridge University, and the University of London. The topics covered in this book include differential equations, linear equations, matrices and determinants, vector algebra and coordinate geometry, and differentiation and integration of functions of two or more variables. This book is intended as a reference for students taking science and engineering courses at British and Commonwealth Universities.
Richard III ruled England for a mere twenty-six months, yet few English monarchs remain as compulsively fascinating, and none has been more persistently vilified. In his absorbing and universally praised account, Charles Ross assesses the king within the context of his violent age and explores the critical questions of the reign: why and how Richard Plantagenet usurped the throne; the belief that he ordered the murder of "the Princes in the Tower"; the events leading to the battle of Bosworth in 1485; and the death of the Yorkist dynasty with Richard himself. In a new foreword, Professor Richard A. Griffiths identifies the attributes that have made Ross's account the leading biography in the field, and assesses the impact of the research published since the book first appeared in 1981. "A fascinating study on a perennially fascinating topic… the base against which will be measured any future research."--Times Higher Education Supplement
First Published in 1964. The following pages are a reprint, with textual corrections, of three separate studies relating to Tudor and early Stuart public finance. In this paper there are some general observations covering the entire field under survey. This book was a reworking of a Ph.D. thesis submitted to Harvard University in 1916 together with three additional chapters covering the reigns Edward VI and Mary.
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