Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.
This book highlights the crucial role of mathematics in modern physics, covering topics like vector spaces, Fourier analysis, and differential equations in the first half. The second half delves into groups, manifolds, and gauge theories. The revised edition enhances clarity while preserving the balance between rigor and application, enriched with historical notes and examples.
This book complements introductory physics courses by focusing on the mathematical needs of physics and engineering students. It covers vector algebra, calculus, infinite series, and modern topics like numerical analysis and chaos. The new edition features shorter chapters and includes sections on Probability and tensors.
The book critically examines the intersection of quantum physics and pop-spirituality, revealing how this fusion has evolved from the early days of quantum mechanics. It highlights the misinterpretations of quantum concepts like uncertainty and entanglement that have been co-opted by new-age mystics and alternative medicine proponents to lend credibility to their claims. By tracing the origins of these ideas, it exposes the dangers of pseudoscience and the manipulation of scientific principles for self-improvement and healing practices.
A Conceptual Physics Approach to Scientific Awareness
Designed to enhance scientific understanding among untrained readers, this text draws from over 15 years of the author's teaching experience. It aims to make complex scientific concepts accessible, fostering a deeper appreciation for science in everyday life.
Focusing on the constancy of the speed of light, this book offers a qualitative exploration of relativity theory. It introduces Einstein's concept of simultaneity and examines the relativity of time and length. Key discussions include the time dilation formula illustrated through a standard light clock, the derivation of Minkowski four-dimensional space-time distance, and the definition of two-dimensional space-time velocity components. This heuristic approach aims to clarify complex concepts in relativity for readers.
Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica(R). Although it is primarily designed for use with the author's "Mathematical For Students of Physics and Related Fields," the discussions in the book sufficiently self-contained that the book can be used as a supplement to any of the standard textbooks in mathematical methods for undergraduate students of physical sciences or engineering.