**Calculus Unlimited**

by Jerrold E. Marsden, A. Weinstein

**Publisher**: Benjamin-Cummings Publishing Co. 1981**ISBN/ASIN**: 0805369325**ISBN-13**: 9780805369328**Number of pages**: 246

**Description**:

This text presents an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. With the aid of this method, a definition of the derivative may be introduced in the first lecture of a calculus course for students who are familiar with functions and graphs. This book is for calculus instructors and students interested in trying an alternative to limits.

Download or read it online for free here:

**Download link**

(8MB, PDF)

## Similar books

**Real Functions in One Variable: Examples of Integrals**

by

**Leif Mejlbro**-

**BookBoon**

This volume covers partial integration, integration by simple substitutes, integration by advanced substitutions, decomposition, integration by decomposition, trigonometric integrals, MAPLE programs, moment of inertia, and mathematical models.

(

**12738**views)

**Integral Calculus**

by

**Leah Edelstein-Keshet**-

**University of British Columbia**

Contents: Areas, volumes and simple sums; Fundamental Theorem of Calculus; Applications of the definite integral to velocities and rates, calculating volume, mass, and length; Techniques of Integration; Differential Equations; Infinite series...

(

**10003**views)

**Yet Another Calculus Text**

by

**Dan Sloughter**

Introduction to calculus based on the hyperreal number system for readers who are already familiar with calculus basics. It covers hyperreals, continuous functions, derivatives, geometric interpretation, optimization, integrals, applications, etc.

(

**17282**views)

**Relationships, Change and Mathematical Analysis**

by

**Roy McWeeny**-

**Learning Development Institute**

This book deals with the mathematics we need in describing the relationships among the quantities we measure in Physics. This leads us into the study of relationships and change, the starting point for Mathematical Analysis and the Calculus.

(

**7434**views)