One Variable Advanced Calculus

A treatment for a subject which places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work. It is assumed the reader is familiar enough with elementary functions.

**Tag(s):**
Mathematics

**Publication date**: 09 Mar 2014

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
287 pages

**Views**: 11,879

**Type**: N/A

**Publisher**:
n/a

**License**:
n/a

**Post time**: 12 Apr 2008 09:14:26

One Variable Advanced Calculus

A treatment for a subject which places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work. It is assumed the reader is familiar enough with elementary functions.

Excerpts from the Introduction:

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. Silly gimmicks are of no significance at all. Routine skills involving elementary functions and integration techniques are supposed to be mastered and have no place in advanced calculus which deals with the fundamental issues related to existence and meaning. This is a subject which places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work.

Intended Audience:

An orderly development of the elementary functions is included but it is assumed the reader is familiar enough with these functions to use them in problems which illustrate some of the ideas presented.

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. Silly gimmicks are of no significance at all. Routine skills involving elementary functions and integration techniques are supposed to be mastered and have no place in advanced calculus which deals with the fundamental issues related to existence and meaning. This is a subject which places calculus as part of mathematics and involves proofs and definitions, not algorithms and busy work.

Intended Audience:

An orderly development of the elementary functions is included but it is assumed the reader is familiar enough with these functions to use them in problems which illustrate some of the ideas presented.

Tweet

About The Author(s)

Kenneth Kuttler is Professor in the Department of Mathematics at Brigham Young University. His primary area of research is Partial Differential Equations and Inclusions. He works on abstract methods for determining whether problems of this sort are well posed. Lately, he has been working on the mathematical theory of problems from contact mechanics including friction, wear, and damage. He has also been studying extensions to stochastic equations and inclusions.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Microsoft .NET
Rexx
Perl
PHP
Python
R
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors