APEX Calculus by Gregory Hartman
APEX Calculus - Table of Contents
1. Limits
2. Derivatives
3. The Graphical Behavior of Functions
4. Applications of the Derivative
5. Integration
6. Techniques of Antidifferentiation
7. Applications of Integration
8. Sequences and Series
9. Curves in the Plane
10. Vectors
11. Vector Valued Functions
12. Functions of Several Variables
13. Multiple Integrations
14. Vector Analysis
What You Will Learn in APEX Calculus
"APEX Calculus" by Gregory Hartman is a well-structured, open-source textbook designed for university-level learning. It presents core calculus concepts in a clear and approachable way, making it ideal for beginners and self-learners. The book is divided into three parts, covering single-variable and multivariable calculus with a logical progression that supports deep understanding. Key topics include "Limits", "Derivatives", and "Integration", explained with simple language and practical examples.
The strength of "APEX Calculus" lies in its balance between theory and application. Each section includes step-by-step explanations, worked examples, and exercises that help reinforce learning. Visual graphs and illustrations improve comprehension, especially for complex ideas like rates of change and area under curves. The book also explores advanced topics such as sequences, series, and vector calculus, making it a complete resource for students aiming to master "Multivariable Calculus".
Another major advantage is its accessibility. As an open educational resource, "APEX Calculus" is freely available, allowing students worldwide to access high-quality material without cost. Its clear structure, engaging explanations, and strong academic coverage make it a valuable choice for anyone studying "Open-Source Textbooks" in mathematics.
Book Details & Specifications
Title:
APEX Calculus by Gregory Hartman
Publisher:
APEXcalculus.com
Year:
2015
Pages:
312
Type:
PDF
Language:
English
ISBN-10 #:
1719219591
ISBN-13 #:
978-1719219594
License:
CC BY-NC 4.0
Amazon:
Amazon
About the Author: Gregory Hartman
The author
Gregory Hartman
is an American mathematician and professor known for his work in "open education", "calculus teaching", and "applied mathematics". He teaches at the Virginia Military Institute and earned his PhD in Mathematics from Virginia Tech. While details about his early life are limited, his academic journey reflects a strong focus on clarity and student-centered learning. His expertise lies in "multivariable calculus" and "mathematics education", where he has made a global impact through the free textbook "APEX Calculus". His work promotes "accessible learning", combining clear explanations with practical problem-solving, making advanced mathematics easier for students worldwide.
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