**Calculus: A Modern, Rigorous Approach**

by Horst R. Beyer

2007**Number of pages**: 805

**Description**:

Contents: Basics; Limits and Continuous Functions; Differentiation; Applications of Differentiation; Riemann Integration. Techniques of Integration; Improper Integrals; Series of Real Numbers; Series of Functions; Analytical Geometry and Elementary Vector Calculus; Vector-valued Functions of Several Variables; Derivatives of Vector-valued Functions of Several Variables; Applications of Differentiation; The Riemann Integral in n-dimensions; Vector Calculus; Generalizations of the Fundamental Theorem of Calculus; etc.

Download or read it online for free here:

**Download link**

(5.9MB, PDF)

## Similar books

**Analytic Geometry and Calculus**

by

**F.S. Woods, F.H. Bailey**-

**Ginn and Company**

The first part of the book brings together all methods for the graphical representation of functions of one variable, and analytic geometry of two dimensions. The transition to the calculus is made early through the discussion of slope and area ...

(

**7523**views)

**First Year Calculus**

by

**W W L Chen**-

**Macquarie University**

These lecture notes cover the number system, functions, derivatives, special functions, limits, continuity, differentiation, definite integral, techniques of integration, improper integrals, ordinary differential equations, sequences, series, etc.

(

**19368**views)

**Elementary Textbook on the Calculus**

by

**Virgil Snyder**-

**Cornell University Library**

The author made special effort to present the calculus in a simple and direct form. Easy applications of the calculus to maxima and minima, tangents and normals, inflexions, asymptotes, and curve tracing have been introduced.

(

**14743**views)

**Foundations of Infinitesimal Calculus**

by

**H. Jerome Keisler**-

**University of Wisconsin**

This monograph is a companion to 'Elementary Calculus'. It can be used as a quick introduction to the infinitesimal approach to calculus for mathematicians, as background material for instructors, or as a text for an undergraduate seminar.

(

**4587**views)