A First Look at Perturbation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A First Look at Perturbation Theory write by James G. Simmonds. This book was released on 2013-07-04. A First Look at Perturbation Theory available in PDF, EPUB and Kindle. Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.
Perturbation theory for linear operators
Perturbation theory for linear operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Perturbation theory for linear operators write by Tosio Kato. This book was released on 2013-06-29. Perturbation theory for linear operators available in PDF, EPUB and Kindle.
A Primer for Chiral Perturbation Theory
A Primer for Chiral Perturbation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Primer for Chiral Perturbation Theory write by Stefan Scherer. This book was released on 2011-10-01. A Primer for Chiral Perturbation Theory available in PDF, EPUB and Kindle. Chiral Perturbation Theory, as effective field theory, is a commonly accepted and well established working tool, approximating quantum chromodynamics at energies well below typical hadron masses. This volume, based on a number of lectures and supplemented with additional material, provides a pedagogical introduction for graduate students and newcomers entering the field from related areas of nuclear and particle physics. Starting with the the Lagrangian of the strong interactions and general symmetry principles, the basic concepts of Chiral Perturbation Theory in the mesonic and baryonic sectors are developed. The application of these concepts is then illustrated with a number of examples. A large number of exercises (81, with complete solutions) are included to familiarize the reader with helpful calculational techniques.
Adiabatic Perturbation Theory in Quantum Dynamics
Adiabatic Perturbation Theory in Quantum Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Adiabatic Perturbation Theory in Quantum Dynamics write by Stefan Teufel. This book was released on 2003. Adiabatic Perturbation Theory in Quantum Dynamics available in PDF, EPUB and Kindle.
Geometric Singular Perturbation Theory Beyond the Standard Form
Geometric Singular Perturbation Theory Beyond the Standard Form - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Singular Perturbation Theory Beyond the Standard Form write by Martin Wechselberger. This book was released on 2020-02-21. Geometric Singular Perturbation Theory Beyond the Standard Form available in PDF, EPUB and Kindle. This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT). It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form. The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models. It contains many illustrations and key pointers to the existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view. Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.
