Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.
A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.
Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
A guide is a welcome addition on most any journey. So it is with the greatest of all journeys: the journey to God. One of the Church’s most long-standing and fruitful traditions, spiritual direction is an instrument of God’s glory in the world. The act of clearing the way for the Holy Spirit is a delicate yet challenging matter, and one that requires humility, patience, and charity, among other virtues. Through Wind and Waves is a guidebook for those undertaking this important work. It offers wisdom for both the supernatural and the practical elements of spiritual direction. It shows that being a spiritual guide is not simply a matter of prayer and meditation, but one of a firm interior life, genuine friendship, and the daily realities of living one’s life for the Lord. That life will be marked by adventure, since every soul is unique and is led by the Spirit to blaze new paths to holiness. Filled with wisdom from the saints, as well as Jesus’ words in the Gospels, Through Wind and Waves is a valuable resource for those called to lead others into the safe harbor of God’s love. Rev. Francis Fernández-Carvajal holds graduate degrees in both History and Canon Law. Ordained in 1964, he is a priest of the Opus Dei Prelature and the author of many popular spiritual works. His seven-volume series In Conversation with God provides over 500 meditations to be used throughout the liturgical year. It has sold over 2 million copies and has been translated into many languages.
This novel dramatizes an incident that took place in a California school in 1969. A teacher creates an experimental movement in his class to help students understand how people could have followed Hitler. The results are astounding. The highly disciplined group, modeled on the principles of the Hilter Youth, has its own salute, chants, and special ways of acting as a unit and sweeps beyond the class and throughout the school, evolving into a society willing to give up freedom for regimentation and blind obedience to their leader. All will learn a lesson that will never be forgotten.
This is a complete introduction to the theory of waves and oscillations as encountered by physics and engineering students. It discusses both the mathematical theory and the physics of phenomena such as waves in fluids, electromagnetic waves, and discrete coupled oscillators in mechanics and electronics. The author gives a description of the mathematics of complex amplitudes and introduces forced and free oscillations and normal modes of resonance. Chapters cover wave guides, barrier penetration, and electromagnetic transmission. One section, devoted solely to surface waves, includes a discussion on light scattering and the determination of surface tension and viscosity, plasma oscillations, and feedback oscillations. Ideas and equations are displayed for easy reference, and sets of exercises follow each chapter.