Application-oriented introduction relates the subject as closely as possible to science. In-depth explorations of the derivative, the differentiation and integration of the powers of x, theorems on differentiation and antidifferentiation, the chain rule and examinations of trigonometric functions, logarithmic and exponential functions, techniques of integration, polar coordinates, much more. Examples. 1967 edition. Solution guide available upon request.
See Sample Pages!Click here to look inside this book.
Here's a sample of other books in this Dover category
Mathematics for the Nonmathematician by Morris Kline Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Essential Calculus with Applications by Richard A. Silverman Clear undergraduate-level introduction to background math, differential calculus, differentiation, integral calculus, integration, functions of several variables, more. Numerous problems, with new "Hints and Answers" section.
Advanced Calculus: Second Edition by David V. Widder Classic text offers exceptionally precise coverage of partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Includes exercises and selected answers.
Mathematics and the Physical World by Morris Kline Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
Calculus of Variations by I. M. Gelfand, S. V. Fomin Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
Calculus: A Short Course by Michael C. Gemignani Geared toward undergraduate business and social science students, this text focuses on sets, functions, and graphs; limits and continuity; special functions; the derivative; the definite integral; and functions of several variables. 1972 edition. Includes 142 figures.
Matrix and Tensor Calculus: With Applications to Mechanics, Elasticity and Aeronautics by Aristotle D. Michal This volume offers a working knowledge of the fundamentals of matrix and tensor calculus. Relevant to several fields, particularly aeronautical engineering, the text skillfully combines mathematical statements with practical applications. 1947 edition.
Introduction to Tensor Calculus, Relativity and Cosmology by D. F. Lawden Elementary introduction emphasizes aspects that students find most difficult: tensors in curved spaces and application to general relativity theory; black holes; gravitational waves; more. Solution guide available upon request. 1982 edition.
Vector Calculus by Peter Baxandall, Hans Liebeck This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.
