Mathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to study in detail the three most...
Our research team conducted more than 50 focused, multihour interviews with key people inside RE/MAX International and throughout its network. We studied the real estate industry and talked to experts. We spent weeks with Dave and Gail Liniger and got to know the members of the senior team well. We were allowed to poke about,...
Over the past few years, there has been a fundamental shift in data storage, management, and processing. Companies are storing more data from more sources in more formats than ever before. This isn’t just about being a “data packrat” but rather building products, features, and intelligence predicated on knowing more about...
This monograph takes as starting point that abstract quantum stochastic processes can be understood as a quantum field theory in one space and in one time coordinate. As a result it is appropriate to represent operators as power series of creation and annihilation operators in normal-ordered form, which can be achieved using classical measure...
Chemical engineers face the challenge of learning the difficult concept and application of entropy and the 2nd Law of Thermodynamics. By following a visual approach and offering qualitative discussions of the role of molecular interactions, Koretsky helps them understand and visualize thermodynamics. Highlighted examples show how the material...
In high school algebraic equations in one unknown of first and second degree are studied in detail. One learns that for solving these equations there exist general formulae expressing their roots in terms of the coefficients by means of arithmetic operations and of radicals. But very few students know whether similar formulae do...
This self-contained text offers an elementary introduction to partial differential equations (pdes), primarily focusing on linear equations, but also providing some perspective on nonlinear equations. The classical treatment is mathematically rigorous with a generally theoretical layout, though indications to some of the physical origins of pdes...
Some information and knowledge are usually represented by human language
like “about 100km”, “approximately 39 ?C”, “roughly 80kg”, “low speed”,
“middle age”, and “big size”. Perhaps some people think that they are subjective
probability or they are fuzziness....
This is a survey on elliptic boundary value problems on varying domains and tools needed for that. Such problems arise in numerical analysis, in shape optimisation problems and in the investigation of the solution structure of nonlinear elliptic equations. The methods are also useful to obtain certain results for equations on non-smooth...
In recent times, we have seen increased interest in the direct time domain methods to calculate
electromagnetic scattering/interaction phenomenon. This may be due to the surge in activities
in the areas of EMP, short-pulse radar, or other related applications. It may also be due to the
fact that the time domain methods have several...
The present work briefly develops the lectures which we have given since 1930 to the engineering candidates who chose the section of electromechanics at the Faculte polytechnique de Mons.
A memoir by Steinmetz 1 emphasized the simplifying role that can be played by the geometric interpretation of complex numbers in the...
Most of the reasons that I have written this book can be explained in terms of what reportedly happened one day in the eighteenth century when the great German mathematician Leonhard Euler confronted the eminent French scholar and atheist Denis Diderot with a spurious mathematical proof for the existence of God. Euler, it seems, accepted an...