First Year Calculus for Students of Mathematics and Related Disciplines

A calculus textbook project. For the most part, this book is spelled out for students in more detail than usual.

**Tag(s):**
Calculus

**Publication date**: 20 Nov 2012

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
846 pages

**Views**: 2,738

**Type**: N/A

**Publisher**:
n/a

**License**:
n/a

**Post time**: 11 Jul 2016 04:00:00

First Year Calculus for Students of Mathematics and Related Disciplines

A calculus textbook project. For the most part, this book is spelled out for students in more detail than usual.

From the Introduction:

Michael M. Dougherty and John Gieringer wrote:Our textbook is meant to be read--curled up with and read! We go into much detail, with more examples than most in the topics which are the most confusing. If you currently are using one of the standard textbooks, you can use ours as a supplement. If you want to learn calculus on your own, ours can be your main text (though the standard ones have more exercises). We occasionally hear from folks around the world who happened upon this site that they found it useful, and we hope you agree.

A few "differences" might turn off some readers, particularly regarding the first two chapters. We spend a chapter on symbolic logic so we can use it elsewhere, including a rather in-depth (for a calculus book) development of epsilon-delta proofs. If you just want more complete examples for derivative and integral problems, you can go to those sections (preferably from the current "whole book" file linked above). If you want a much deeper, and more useful and "form-based" discussion of limits (to better prepare students for things like convergence tests and improper integrals), check those out.

Another difference is that there is a very expanded Chapter 2, which is still preliminary but has some good algebraic stuff which is easier to accomplish after raising the sophistication level, made possible by a study of Chapter 1's logic.

While this is a work in progress, some chapters and more sections are basically complete and have been successfully used in courses. We're hoping this is the year we can really push it towards completion.

Tweet

About The Author(s)

Michael M. Dougherty is an Assistant Professor of Mathematics in the Department of Mathematics at Southwestern Oklahoma State University.

No information is available for this author.

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