This short monograph presents the theory of electromagnetic pulses in a simple and physical way. All pulses discussed are exact solutions of the Maxwell equations, and have finite energy, momentum and angular momentum. There are five chapters: Fundamentals, Solutions of the wave equation, Electromagnetic pulses, Angular momentum, and Lorentz transformations. Nine appendices cover mathematical or associated aspects, such as chiral measures of electromagnetic fields. The subject matter is re...

This book deals with the reflection of electromagnetic and particle waves by interfaces. The interfaces can be sharp or diffuse. The topics of the book contain absorption, inverse problems, anisotropy, pulses and finite beams, rough surfaces, matrix methods, numerical methods, reflection of particle waves and neutron reflection. Exact general results are presented, followed by long wave reflection, variational theory, reflection amplitude equations of the Riccati type, and reflection of sh...

This book is about my experiments, discoveries, and theories that I have developed. These include but not limited to:- Einstein's Space-time theory is flawed (with mathematical proof)- Free-will is an illusion- Evidence for existence of God and the super-deterministic universe that he created- Elastic clock-rate synronization capability of brain without time dilation- Electrum Quantum Audio app (world's first commercial quantum product)- World's fi...

Elements of Fluid Dynamics is intended to be a basic textbook, useful for undergraduate and graduate students in different fields of engineering, as well as in physics and applied mathematics. The main objective of the book is to provide an introduction to fluid dynamics in a simultaneously rigorous and accessible way, and its approach follows the idea that both the generation mechanisms and the main features of the fluid dynamic loads can be satisfactorily understood only after the equati...

This text is for courses that are typically called (Introductory) Differential Equations, (Introductory) Partial Differential Equations, Applied Mathematics, and Fourier Series. Differential Equations is a text that follows a traditional approach and is appropriate for a first course in ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. Some schools might prefer to move the Laplace transform material to the seco...

The book begins by examining in dynamic terms Planck's constant h as the “Least Action” to end in the operational logic of quantum gravity. This topic has so far been addressed by physicists with little clarity and too much mathematics. It is useful to recall a famous suggestion that Feynman gave to his students, namely to "write your equations only when you know the result".The scenario in which this research takes place is a quantized sp...

A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations. The book begins by introducing the basic concepts of differential equations, focusing on the analytical, graphical, and numerical aspects of first-order equations, including slope fields and phase lines. The discussions then cover methods of solving second-order homogeneous and nonhomogeneous linear equations with constant coefficients; systems of linea...

A fascinating and in-depth scientific treatise on the study of dynamic systems inside meteorology and hydrography.

Covers ODEs and PDEs-in One TextbookUntil now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn't exist. Fulfilling this need, Ordinary and Partial Differential Equations provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as

Introductory Differential Equations, Fourth Edition, offers both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems. The book provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress ...

Introductory Differential Equations, Fifth Edition provides accessible explanations and new, robust sample problems. This valuable resource is appropriate for a first semester course in introductory ordinary differential equations (including Laplace transforms), but is also ideal for a second course in Fourier series and boundary value problems, and for students with no background on the subject. The book provides the foundations to assist students in learning not only how to read and unde...

Many physicists have pointed out that the formulation of Quantum Mechanics is missing an important piece. Its theoretical incompleteness has been evoked, there has been talk of hidden variables, non-locality of the theory, provoking long debates which have left things at a standstill. There is even Einstein's famous phrase in which he says that "God does not play dice". A big mistake! If God did not play dice, as Darwin taught us, there would be neither evolution nor the immense v...