This text considers waves the great unifying concept of physics. With minimal mathematics, it emphasizes the behavior common to specific phenomena--earthquake waves studied by seismologists; waves and ripples on oceans, lakes, and ponds; waves of sound that travel through the air; mechanical waves in stretched strings and in quartz crystals that can be used to control the frequency of radio transmitters; electromagnetic waves that constitute light, and that are radiated by radio transmitters and received by radio receivers; and the waves of probability employed in quantum mechanics to predict...
This text considers waves the great unifying concept of physics. With minimal mathematics, it emphasizes the behavior common to specific phenomena--ea...
A critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the advanced undergraduate and graduate levels. Its readable and self-contained form is accessible even to students without an extensive mathematical background. Applications of basic theorems to quantum mechanics make it of particular interest to mathematicians working in functional analysis and related areas. This text features the rigorous proofs of all the main functional-analytic statements encountered in books on quantum mechanics. It...
A critical presentation of the basic mathematics of nonrelativistic quantum mechanics, this text is suitable for courses in functional analysis at the...
Indispensable for students of modern physics, this text provides the necessary background in mathematics for the study of electromagnetic theory and quantum mechanics. Clear discussions explain the particulars of vector algebra, matrix and tensor algebra, vector calculus, functions of a complex variable, integral transforms, linear differential equations, and partial differential equations. This volume collects under one cover the mathematical ideas formerly available only by taking many separate courses. It offers in-depth treatments, with a minimum of mathematical formalism. Suitable for...
Indispensable for students of modern physics, this text provides the necessary background in mathematics for the study of electromagnetic theory and q...
Max Planck's famous lecture of 1900 expressed quantum theory in its essential form, but his statement was just the beginning. This volume features seventeen early papers that developed quantum theory into its modern form. These papers appeared from 1917 to 1926 and were written by the leading physicists of the early twentieth century. The collection begins with Einstein's -On the Quantum Theory of Radiation, - an illuminating derivation of Planck's Law. Other important early papers by Ehrenfest, Bohr, Born, Van Vleck, Kuhn, and others prepared the way for the -turning point- in quantum...
Max Planck's famous lecture of 1900 expressed quantum theory in its essential form, but his statement was just the beginning. This volume features sev...
First published over 40 years ago, this work has achieved the status of a classic among introductory texts on mechanics. Den Hartog is known for his lively, discursive and often witty presentations of all the fundamental material of both statics and dynamics (and considerable more advanced material) in new, original ways that provide students with insights into mechanical relationships that other books do not always succeed in conveying. On the other hand, the work is so replete with engineering applications and actual design problems that it is as valuable as a reference to the practicing...
First published over 40 years ago, this work has achieved the status of a classic among introductory texts on mechanics. Den Hartog is known for hi...
A readable and user-friendly introduction to fluid mechanics, this high-level text is geared toward advanced undergraduates and graduate students. Mathematicians, physicists, and engineers will also benefit from this lucid treatment. The book begins with a derivation of the equations of fluid motion from statistical mechanics, followed by examinations of the classical theory and a portion of the modern mathematical theory of viscous, incompressible fluids. A considerable part of the final chapters is devoted to the Navier-Stokes equations. The text assumes a familiarity with functional...
A readable and user-friendly introduction to fluid mechanics, this high-level text is geared toward advanced undergraduates and graduate students. Mat...
Green's functions, named for the mathematician who developed them in the 1830s, possess applications in many areas of physics. This volume presents the basic theoretical formulation, followed by specific applications that include transport coefficients of a metal, the Coulomb gas, Fermi liquids, electrons and phonons, superconductivity, superfluidity, and magnetism.
Green's functions, named for the mathematician who developed them in the 1830s, possess applications in many areas of physics. This volume presents th...
Based on a California Institute of Technology course, this outstanding introduction to formal quantum mechanics is geared toward advanced undergraduates in applied physics. The text addresses not only the basic formalism and related phenomena but also takes students a step further to a consideration of generic and important applications. The treatment's exploration of a wide range of topics culminates in two eminently practical subjects, the semiconductor transistor and the laser. Subjects include operators, Eigenvalue problems, the harmonic oscillator, angular momentum, matrix formulation...
Based on a California Institute of Technology course, this outstanding introduction to formal quantum mechanics is geared toward advanced undergraduat...
Intended as supplementary material for undergraduate physics students, this wide-ranging collection of problems in applied mathematics and physics features complete solutions. The problems were specially chosen for the inventiveness and resourcefulness their solutions demand, and they offer students the opportunity to apply their general knowledge to specific areas. Numerous problems, many of them illustrated with figures, cover a diverse array of fields: kinematics; the dynamics of motion in a straight line; statics; work, power, and energy; the dynamics of motion in a circle; and the...
Intended as supplementary material for undergraduate physics students, this wide-ranging collection of problems in applied mathematics and physics fea...
This brilliant study by a famed mathematical scholar and former professor of mathematics at the University of Amsterdam integrates a concise exposition of the mathematical basis of tensor analysis with admirably chosen physical examples of the theory. The first five chapters incisively set out the mathematical theory underlying the use of tensors. The tensor algebra in EN and RN is developed in Chapters I and II. Chapter II introduces a sub-group of the affine group, then deals with the identification of quantities in EN. The tensor analysis in XN is developed in Chapter IV. In chapters...
This brilliant study by a famed mathematical scholar and former professor of mathematics at the University of Amsterdam integrates a concise exposi...
