The Visual Guide to Extra Dimensions Volume 2, Chris McMullen
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About this book :-
The Visual Guide to Extra Dimensions Volume 2
This book is primarily conceptual, for the benefit of readers who do not have a strong background in the mathematics of particle physics or superstring theory, yet there is a mathematical component to this book, since it is anticipated that most readers will have some interest or background in mathematics. It will be desirable to have a good handle on the fundamentals of algebra, geometry, and graphing. Where it is deemed useful to discuss more advanced mathematics, higherlevel concepts are developed from these starting levels.
Nonetheless, more emphasis is placed on the concepts than on the math, since this is intended to be an enjoyable book on an interesting topic, which should not read like a textbook. This book is very detailed and technical conceptually in an effort to help stimulate and engage the interest of such mathematically-minded readers.
Several illustrations are intended to challenge readers visually. For example, several illustrations combine together to show a hypercube unfold, the various 3D cross sections of a hypercube are drawn, the 3D projection is depicted for a rotating hypercube, higher-dimensional cylinders and tori are graphed, and a higher-dimensional staircase is drawn. Puzzles scattered throughout the book offer additional challenges.
The second volume looks at higher-dimensional mathematics, higher-dimensional force laws related to Gauss’s law, the important issue of compactification, current and upcoming experimental searches for extra dimensions, and a little background in spacetime, quantum mechanics, and string theory.
Book Detail :-
Title: The Visual Guide to Extra Dimensions Volume 2
Author(s): Chris McMullen
Publisher: CreateSpace Independent Publishing Platform
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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 :-
The Visual Guide to Extra Dimensions Volume 2
cover the following topics.
6. Higher-Dimensional Vectors
6.0 Scalars and Vectors
6.1 Vectors in the Second Dimension
6.2 Vectors in the Third Dimension
6.3 Vectors in Higher Dimensions
6.4 Generalizing the Dot Product
6.5 Generalizing the Cross Product
6.6 Higher-Dimensional Matrices
7. Force Fields
7.0 Gravitational Forces
7.1 Electromagnetic Forces
7.2 Field Lines
7.3 Gauss’s Law
7.4 Stokes’s Theorem
7.5 Higher-Dimensional Gravity
7.6 Higher-Dimensional Electromagnetism
7.7 Nuclear Forces
8.0 Non-Euclidean Geometry
8.1 Spacetime Curvature
8.2 Hidden Dimensions
8.3 Compactification Schemes
8.4 Toroidal Compactification
8.5 Kaluza-Klein Excitations
8.6 Large Extra Dimensions
8.7 Higher-Dimensional Models
9. Experimental Searches
9.0 Tests of Newton’s Law of Gravitation
9.1 Elementary Particles and Their Interactions
9.2 High-Energy Collider Phenomenology
9.3 Collider Searches for Extra Dimensions
9.4 Astrophysical and Cosmological Constraints
10.0 Special Relativity
10.1 General Relativity
10.2 Quantum Mechanics
10.3 Quantum Field Theory
10.4 Grand Unified Theories
10.5 String Theory
10.6 Supersymmetry and Superstrings
10.7 M Theory
Volume 1 Contents
References and Further Reading
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