Michael Benjamin Cole
Physics and mathematics step by step books
Errata below
Michael Cole is a life-long student of physics and mathematics. His degree is in pure mathematics from California State University Northridge. He worked in IT for more than 40 years and is now retired. He lives in Southern California with his wife, two dogs, and three bikes.
General Relativity Step by Step
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Learn the mathematics of curved space-time. Understand Einstein's field equations and the principles of General Relativity in this step-by-step guide. Even if the reader's calculus is rusty and they need a refresher on linear algebra, this book provides the bite-sized lessons that explain each concept with no steps left out. This is not a layman's overview of General Relativity. Real understanding and learning are contained within. Neither is this an unapproachable graduate level text. Undergraduates, high school students and, even, enthusiastic amateurs can learn to solve basic problems in General Relativity. How much does light bend going around the Sun? Why is the acceleration on the surface of the Earth 9.8 meters per second every second? The reader will be able to use the principles of General Relativity to answer these questions for themselves.
Quantum Mechanics step by step
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Learn the mathematics of quantum mechanics. Understand and solve Schrödinger's wave equation. A reader with one to two years of calculus (albeit rusty) and little exposure to physics will be able to follow the evolution from classical theory to quantum theory. What is the Heisenberg uncertainty principle? What is the difference between classical and quantum determinism? This book provides the bite-sized lessons that explain each concept with no steps left out. This is not a layman's overview of quantum mechanics. Real understanding and learning are contained within. Neither is this an unapproachable graduate level text. Undergraduates, high school students and, even, enthusiastic amateurs can learn to solve basic problems in quantum mechanics. How can a quantum particle tunnel through an energy barrier? What are the probabilities associated with electron spin? What is a qubit? What were the mathematics behind the 2022 Nobel prize in physics? The reader will be able to use the principles of quantum mechanics to answer these questions for themselves.
The second edition offers an additional chapter, more exercises, minor corrections and clarifying steps that a quantum mechanics adventurer may find helpful.
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