**One Variable Advanced Calculus**

by Kenneth Kuttler

**Publisher**: Brigham Young University 2018**Number of pages**: 327

**Description**:

The difference between advanced calculus and calculus is that all the theorems are proved completely and the role of plane geometry is minimized. Instead, the notion of completeness is of preeminent importance. This is a subject which places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work.

Download or read it online for free here:

**Download link**

(8.7MB, PDF)

## Similar books

**Brief Calculus**

by

**Benjamin Crowell**

Short introductory text on differentiation and integration of functions of a single variable, and iterated integrals. The emphasis is on the techniques of calculus, although proofs are given for the important results at the back of the book.

(

**34774**views)

**Introduction to the Elementary Functions**

by

**Raymond Benedict McClenon**-

**Ginn and company**

The book covers some parts of plane trigonometry and analytic geometry, followed by an introduction to the differential calculus, including differentiation of simpler algebraic functions and applications to problems of rates and maxima and minima.

(

**9384**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.

(

**12510**views)

**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.

(

**9202**views)