Calculus And Analytic Geometry

Analytic Geometry and Calculus

The present work is a revision and abridgment of the authors' "Course in Mathematics for Students of Engineering and Applied Science". The condensation of a two-volume work into a single volume has been made possible partly by the omission of some topics, but more especially by a rearrangement of subject matter and new methods of treatment. Among the subject omitted are determinations, much of the general theory of equations, the general equation of the conic sections, polars and diameters related to conics, center of curvature, evolutes, certain special methods, of integration, complex numbers, and some types of differential, can well be postponed to a latter course, of subjects which are more immediately important.

Calculus and Analytic Geometry

Calculus with Analytic Geometry

Calculus with Analytic Geometry presents the essentials of calculus with analytic geometry. The emphasis is on how to set up and solve calculus problems, that is, how to apply calculus. The initial approach to each topic is intuitive, numerical, and motivated by examples, with theory kept to a bare minimum. Later, after much experience in the use of the topic, an appropriate amount of theory is presented. Comprised of 18 chapters, this book begins with a review of some basic pre-calculus algebra and analytic geometry, paying particular attention to functions and graphs. The reader is then introduced to derivatives and applications of differentiation; exponential and trigonometric functions; and techniques and applications of integration. Subsequent chapters deal with inverse functions, plane analytic geometry, and approximation as well as convergence, and power series. In addition, the book considers space geometry and vectors; vector functions and curves; higher partials and applications; and double and multiple integrals. This monograph will be a useful resource for undergraduate students of mathematics and algebra.