Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Calculus, Operational --- Differential equations, Linear

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Introduction To The Operational Calculus

Calculus, Operational. --- Operational calculus --- Differential equations --- Electric circuits --- Integral equations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Calculus, Operational. --- 517.4 --- #TCPW W3.0 --- #TCPW W3.3 --- Functional determinants. Integral transforms. Operational calculus --- 517.4 Functional determinants. Integral transforms. Operational calculus --- Calculus, Operational --- Operational calculus --- Differential equations --- Electric circuits --- Integral equations --- Functional analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

In the 1920s, when quantum mechanics was in its infancy, chemists and solid state physicists had little choice but to manipulate unwieldy equations to determine the properties of even the simplest molecules. When mathematicians turned their attention to the equations of quantum mechanics, they discovered that these could be expressed in terms of group theory, and from group theory it was a short step to operator methods.This important development lay largely dormant until this book was originally published in 1963. In this pathbreaking publication, Brian Judd made the operator techniques of mathematicians comprehensible to physicists and chemists. He extended the existing methods so that they could handle heavier, more complex molecules and calculate their energy levels, and from there, it was another short step to the mathematical analysis of spectra. This book provides a first-class introduction to continuous groups for physicists and chemists. Although first written from the perspective of atomic spectroscopy, its major topics and methods will appeal to anyone who has an interest in understanding particle theories of nuclear physics.Originally published in 1998.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Atomic spectroscopy --- Calculus, Operational --- Continuous groups --- Calcul symbolique --- Mathematics --- 543.42 --- -Calculus, Operational --- Groups, Continuous --- Differential equations --- Group theory --- Operational calculus --- Electric circuits --- Integral equations --- Spectroscopy, Atomic --- Spectrum analysis --- Spectrum analysis. Spectroscopy. Spectrography. Spectrometry. Spectrophotometry. Fluorescence analysis --- 543.42 Spectrum analysis. Spectroscopy. Spectrography. Spectrometry. Spectrophotometry. Fluorescence analysis --- Mathematics. --- Calculus, Operational. --- Continuous groups.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Operational methods have been used for over a century to solve many problems—for example, ordinary and partial differential equations. In many problems it is fairly easy to obtain the Laplace transform, but it can be very demanding to determine the inverse Laplace transform that is the solution of the given problem. Sometimes, after some difficult contour integration, we find that a series solution results, but even this may be quite difficult to evaluate in order to get an answer at a particular time value. The advent of computers has given an impetus to developing numerical methods for the determination of the inverse Laplace transform. This book gives background material on the theory of Laplace transforms together with a comprehensive list of methods that are available at the current time. Computer programs are included for those methods that perform consistently well on a wide range of Laplace transforms. Audience This book is intended for engineers, scientists, mathematicians, statisticians and financial planners.

Calculus, Operational. --- Laplace transformation. --- Operational calculus --- Differential equations --- Electric circuits --- Integral equations --- Transformation, Laplace --- Calculus, Operational --- Transformations (Mathematics) --- Integral Transforms. --- Engineering mathematics. --- Integral Transforms, Operational Calculus. --- Mathematical and Computational Engineering. --- Engineering --- Engineering analysis --- Mathematical analysis --- Transform calculus --- Mathematics --- Integral transforms. --- Operational calculus. --- Applied mathematics.