Mathematical Physics

Download E-books Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory PDF

By Carl M. Bender, Steven A. Orszag

A transparent, useful and self-contained presentation of the equipment of asymptotics and perturbation concept for acquiring approximate analytical options to differential and distinction equations. aimed toward educating the main precious insights in drawing close new difficulties, the textual content avoids precise equipment and methods that in simple terms paintings for specific difficulties. meant for graduates and complex undergraduates, it assumes just a constrained familiarity with differential equations and complicated variables. The presentation starts off with a evaluate of differential and distinction equations, then develops neighborhood asymptotic equipment for such equations, and explains perturbation and summation thought ahead of concluding with an exposition of worldwide asymptotic equipment. Emphasizing purposes, the dialogue stresses care instead of rigor and is dependent upon many well-chosen examples to educate readers how an utilized mathematician tackles difficulties. There are a hundred ninety computer-generated plots and tables evaluating approximate and certain recommendations, over six hundred difficulties of various degrees of hassle, and an appendix summarizing the homes of distinctive capabilities.

Show description

Read or Download Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory PDF

Similar Mathematical Physics books

Mathematical Methods for Physicists, Seventh Edition: A Comprehensive Guide

Now in its seventh variation, Mathematical equipment for Physicists keeps to supply the entire mathematical equipment that aspiring scientists and engineers are inclined to come across as scholars and starting researchers. This bestselling textual content offers mathematical relatives and their proofs necessary to the learn of physics and comparable fields.

Chaos and Fractals: An Elementary Introduction

This publication offers the reader with an trouble-free advent to chaos and fractals, compatible for college kids with a historical past in effortless algebra, with out assuming past coursework in calculus or physics. It introduces the most important phenomena of chaos - aperiodicity, delicate dependence on preliminary stipulations, bifurcations - through uncomplicated iterated features.

Hyperbolic Dynamics and Brownian Motion: An Introduction (Oxford Mathematical Monographs)

Hyperbolic Dynamics and Brownian movement illustrates the interaction among distinctive domain names of arithmetic. there is not any assumption that the reader is a expert in any of those domain names: basically easy wisdom of linear algebra, calculus and likelihood concept is needed. The content material may be summarized in 3 ways: to begin with, this booklet presents an advent to hyperbolic geometry, in response to the Lorentz team.

Extra resources for Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory

Show sample text content

Rated 4.98 of 5 – based on 7 votes