A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry), Chris McMullen
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About this book :-
A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)
Chris McMullen.
This book provides a colorful, visual introduction to the fourth dimension. It's not just a picture book, though. You will find clear explanations to help you understand the concepts, and a touch of personality (with a few monkeys!) makes this an engaging read instead of a dry math text. The content is very accessible as you don't need a strong background in mathematics to understand it, yet the concepts are advanced and detailed enough to satisfy the curiosity of a reader who does excel in math. This book focuses purely on the geometric aspects of the fourth dimension; there is no spiritual or religious component to this book. The geometric objects considered in this book are rectangular; the main 4D object discussed is the tesseract (a 4D hypercube), and it is described in great detail and accompanied by many instructive pictures. May you enjoy your journey into the fourth dimension!
Book Detail :-
Title: A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)
Edition:
Author(s): Chris McMullen
Publisher: Topher Books
Series:
Year: 2012
Pages: 196
Type: PDF
Language: English
ISBN:
Country: US
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About Author :-
The author Curtis Tracy McMullen is an American mathematician who is the Professor of Mathematics at
Harvard University . He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmüller theory. McMullen graduated as valedictorian in 1980 from Williams College and obtained his Ph.D. in 1985 from Harvard University, supervised by Dennis Sullivan. He held post-doctoral positions at the
Massachusetts Institute of Technology , the Mathematical Sciences Research Institute, and the Institute for Advanced Study, after which he was on the faculty at
Princeton University (1987–1990) and the
University of California, Berkeley (1990–1997), before joining Harvard in 1997.
The author, Dr. Chris McMullen, has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana (and has also taught physics to gifted high school students). Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. He has also published a half-dozen papers on the collider phenomenology of superstring-inspired large extra dimensions. Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University (and his M.S. in physics from California State University, Northridge).
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Book Contents :-
A Visual Introduction to the Fourth Dimension (Rectangular 4D Geometry)
Chris McMullen
cover the following topics.
0. What Is a Dimension?
1. Dimensions Zero and One
2. The Second Dimension
3. Three-Dimensional Space
4. A Fourth Dimension of Space
5. Tesseracts and Hypercubes
6. Hypercube Patterns
7. Planes and Hyperplanes
8. Tesseracts in Perspective
9. Rotations in 4D Space
10. Unfolding a Tesseract
11. Cross Sections of a Tesseract
12. Living in a 4D House
Further Reading
Glossary
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