Originally published in 1917, as the second edition of a 1912 original, this textbook presents a detailed and contained introduction on statics written by renowned professor and author S. L. Loney (1860–1939). Primarily aimed at undergraduate students of science, engineering and mathematics, this book considers statics from the very beginning and assumes only elementary prior knowledge of the ordinary processes of the differential and integral calculus and in some articles the notions of solid geometry. Multiple examples are presented throughout and are intended to be useful for students of varying capacity. Chapter titles include, 'Centre of gravity', 'Stable and unstable equilibrium' and 'Thin spherical shells and solid sphere'. Multiple diagrams are included for reference. This accessible book provides an ideal and inspiring introduction to statics and will be of great value to specialists in the field as well as to anyone with an interest in the history of education.
Originally published in 1926, this textbook was aimed at first-year undergraduates studying physics and chemistry, to help them become acquainted with the concepts and processes of differentiation and integration. Notably, a prominence is given to inequalities and more specifically to inequations, as reflected in the syllabus and general practice of the time. The book is divided into four parts: 'Number', 'Logarithms', 'Functions' and 'Differential and integral calculus'. Appendices are included as well as biographical notes on the mathematicians mentioned and an index of symbols. A self-contained and systematic introduction on mathematical analysis, this book provides an excellent overview of the essential mathematical theorems and will be of great value to scholars of the history of education.
This book provides a concise and accessible exposition of a wide range of topics in geometric approaches to differential equations. The aim of the book is to present an overview of this developing subject and a brief introduction to a number of related topics, including twistor theory, vortex filament dynamics, calculus of variations, exterior differential systems and Bäcklund transformations. Written by leading experts, this book is an ideal starting point for graduate students embarking on research. It will also be of use to researchers and anybody wishing to learn more about this burgeoning field of mathematical endeavour.
This book provides a thorough introduction to Einstein's special theory of relativity, suitable for anyone with a minimum of one year's university physics with calculus. It is divided into fundamental and advanced topics. The first section starts by recalling the Pythagorean rule and its relation to the geometry of space, then covers every aspect of special relativity, including the history. The second section covers the impact of relativity in quantum theory, with an introduction to relativistic quantum mechanics and quantum field theory. It also goes over the group theory of the Lorentz group, a simple introduction to supersymmetry, and ends with cutting-edge topics such as general relativity, the standard model of elementary particles and its extensions, superstring theory, and a survey of important unsolved problems. Each chapter comes with a set of exercises. The book is accompanied by a CD-ROM illustrating, through interactive animation, classic problems in relativity involving m
In addition to serving as an introduction to the basics of point-set topology, this text bridges the gap between the elementary calculus sequence and higher-level mathematics courses. A versatile, ori
This textbook is ideal for an undergraduate introduction to probability, with a calculus prerequisite. It is based on a course that the author has taught many times at Berkeley. The text's overall sty
This is a concise and elementary introduction to contemporary measure and integration theory as it is needed in many parts of analysis and probability. Undergraduate calculus and an introductory cour
This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds. However, an additional chapter o
This is an introduction to advanced analysis at the beginning graduate level that blends a modern presentation with concrete examples and applications, in particular in the areas of calculus of variat
This classic, calculus-based introduction to the theory and application of statistics provides an unusually comprehensive depth and breadth of coverage and reflects the latest in statistical thinking
Gujarati’s Basic Econometrics provides an elementary but comprehensive introduction to econometrics without resorting to matrix algebra, calculus, or statistics beyond the elementary level. Because of
The overall goal of this calculus-based text is to provide an introduction to physics with a modern point of view. It emphasizes the atomic nature of matter, macro-micro connections, and modeling comp
Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus an
This lively introduction to mathematical logic, easily accessible to nonmathematicians, offers an historical survey, coverage of predicate calculus, model theory, Godel's theorems, computability and
This textbook provides an introduction to dynamics for engineering students with a background in elementary calculus and either statics or elementary physics. Goodman and Warner (both aeronautics and
This concise volume offers undergraduates an introduction to mathematical formalism in problems of molecular structure and motion. The main topics cover the calculus of orthogonal functions, algebra o
An exploration of conceptual foundations and the practical applications of limits in mathematics, this text offers a concise introduction to the theoretical study of calculus. It analyzes the idea of
An introduction to the principles of quantum mechanics needed in physical chemistry. Mathematical tools are presented and developed as needed and only basic calculus, chemistry, and physics is assume
Written primarily for students who have completed the standard first courses in calculus and linear algebra, ELEMENTARY DIFFERENTIAL GEOMETRY, REVISED SECOND EDITION, provides an introduction to the
This book is an introduction to modern differential geometry. The authors begin with the necessary tools from analysis and topology, including Sard's theorem, de Rham cohomology, calculus on manifolds
