Mathematical Derivation For The Vol Ii Of Feynman Lectures On Physics Part 2 Of 2
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The Feynman Lectures on Physics, Vol. II
"The whole thing was basically an experiment," Richard Feynman said late in his career, looking back on the origins of his lectures. The experiment turned out to be hugely successful, spawning publications that have remained definitive and introductory to physics for decades. Ranging from the basic principles of Newtonian physics through such formidable theories as general relativity and quantum mechanics, Feynman's lectures stand as a monument of clear exposition and deep insight. Timeless and collectible, the lectures are essential reading, not just for students of physics but for anyone seeking an introduction to the field from the inimitable Feynman.
Mathematical Derivation for the Vol. II of Feynman Lectures on Physics [Part 2 Of 2]
Ever become frustrated when the textbook skip and jump steps in formulas derivation in the teaching of important assumption and approximation? If you are like countless students being stuck at, a particular mathematical calculus-working step or steps while reading a simple undergraduate physics text, then this manuscript may help out in your journey.For the completeness to accompany the undergraduate introduction text of Feynman's Lectures on Physics, Volume II on classical electromagnetism study that includes calculus of vector analysis in deferential and integration, electrostatics, magnetostatics, Maxwell's equations, Lorentz transformations and relativistic four-vector of the electric and magnetic field, this text provides a detail step by step symbolical derivation workouts that are omitted or incomplete in between every physics formulas definitions. All the mathematical derivations and expansions involve the trigonometry functions and identities, first and second order time dependent and time independent partial differential equations, tensor, calculus as well as simultaneous equations solving via matrix or direct substitution method. Readers with/without fundamental handle on classical electromagnetism and/or undergraduate level mathematics proficiency but wish to study the physics and/or the applied mathematics, can now use this text as a step-by-step systematical fill-in-the-blank reference and derivation counter-checking resource. Readers can follow and learn the essence of classical electromagnetism and electrodynamics from a non-traditional presentation by the late Prof. Richard Feynman.There are 36 chapters of undergraduate classical electromagnetism, elasticity, and fluid mechanics theories examined and derived accordingly as discussed inside the Feynman's Volume II text. This part 2 of 2 manuscript consists of the second 15 chapters. They are namely the electrodynamics in relativistic study, elasticity, and fluid dynamics. In the introduction of classical electrodynamics, we have Electrodynamics in Relativistic Notation, Lorentz Transformations of the Fields, Field Energy and Field Momentum, Electromagnetics Mass, and The Motion of Charges in Electric and Magnetic Fields. In applied electromagnetism chapters, we have Tensors, Refractive Index of Dense Materials, Reflection from Surfaces, The Magnetism of Matter, Paramagnetism and Magnetic Resonance, and Ferromagnetism. For tensor application part, we investigate Elasticity, Elastic Materials and last but not the least for the fluid dynamic, we look at The Flow of Dry Water as well as The Flow of Wet Water.
Essentials of Math Methods for Physicists
Essentials of Math Methods for Physicists aims to guide the student in learning the mathematical language used by physicists by leading them through worked examples and then practicing problems. The pedagogy is that of introducing concepts, designing and refining methods and practice them repeatedly in physics examples and problems. Geometric and algebraic approaches and methods are included and are more or less emphasized in a variety of settings to accommodate different learning styles of students. Comprised of 19 chapters, this book begins with an introduction to the basic concepts of vector algebra and vector analysis and their application to classical mechanics and electrodynamics. The next chapter deals with the extension of vector algebra and analysis to curved orthogonal coordinates, again with applications from classical mechanics and electrodynamics. These chapters lay the foundations for differential equations, variational calculus, and nonlinear analysisin later discussions. High school algebra of one or two linear equations is also extended to determinants and matrix solutions of general systems of linear equations, eigenvalues and eigenvectors, and linear transformations in real and complex vector spaces. The book also considers probability and statistics as well as special functions and Fourier series. Historical remarks are included that describe some physicists and mathematicians who introduced the ideas and methods that were perfected by later generations to the tools routinely used today. This monograph is intended to help undergraduate students prepare for the level of mathematics expected in more advanced undergraduate physics and engineering courses.