Download Group Analysis of Differential Equations by L. V. Ovsiannikov PDF

By L. V. Ovsiannikov

workforce research of Differential Equations offers a scientific exposition of the speculation of Lie teams and Lie algebras and its software to making algorithms for fixing the issues of the crowd research of differential equations.

This textual content is equipped into 8 chapters. Chapters I to III describe the one-parameter workforce with its tangential box of vectors. The nonstandard remedy of the Banach Lie teams is reviewed in bankruptcy IV, together with a dialogue of the entire concept of Lie staff changes. Chapters V and VI conceal the development of partial answer sessions for the given differential equation with a recognized admitted team. the speculation of differential invariants that's constructed on an infinitesimal foundation is elaborated in bankruptcy VII. The final bankruptcy outlines the ways that the tools of crew research are utilized in particular matters concerning differential equations.

This book is an efficient resource for college students and experts curious about components during which traditional and partial differential equations play a major role.

Show description

Read Online or Download Group Analysis of Differential Equations PDF

Similar calculus books

Quantum Variational Calculus (SpringerBriefs in Electrical and Computer Engineering)

This short places jointly subjects, quantum and variational calculi by means of contemplating variational difficulties regarding Hahn quantum operators. the most benefit of its effects is they may be able to care for nondifferentiable (even discontinuous) capabilities, that are vital in functions. attainable functions in economics are mentioned.

Introduction to Abstract Analysis (Dover Books on Mathematics)

Built from lectures introduced at NASA's Lewis study middle, this concise textual content introduces scientists and engineers with backgrounds in utilized arithmetic to the ideas of summary research. instead of getting ready readers for learn within the box, this quantity bargains history useful for examining the literature of natural arithmetic.

Calculus with Vectors (Springer Undergraduate Texts in Mathematics and Technology)

Calculus with Vectors grew out of a robust desire for a starting calculus textbook for undergraduates who intend to pursue careers in STEM fields. The technique introduces vector-valued features from the beginning, emphasizing the connections among one-variable and multi-variable calculus. The textual content comprises early vectors and early transcendentals and features a rigorous yet casual method of vectors.

Rational Approximation of Real Functions (Encyclopedia of Mathematics and its Applications)

Initially released in 1987, this e-book is dedicated to the approximation of actual capabilities through genuine rational features. those are, in lots of methods, a less demanding device than polynomials, and curiosity in them used to be becoming, particularly because D. Newman's paintings within the mid-sixties. The authors target at proposing the elemental achievements of the topic and, for completeness, additionally talk about a few issues from advanced rational approximation.

Additional info for Group Analysis of Differential Equations

Example text

Download PDF sample

Rated 4.65 of 5 – based on 44 votes