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Advanced Symmetry Method Differential Equations (Applied Mathematical Sciences)

by George Bluman, Stephen Anco

Published 2007355 pagesISBN 978-0-3879-8612-8

This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete "adjoint symmetries," Noether’s theorem, local mappings, nonlocally related PDE systems, potential symmetries, nonlocal symmetries, nonlocal conservation laws, nonlocal mappings, and the nonclassical method. Graduate students and researchers in mathematics, physics, and engineering will find this book useful. This book is a sequel to Symmetry and Integration Methods for Differential Equations (2002) by George W. Bluman and Stephen C. Anco. The emphasis in the present book is on how to find systematically symmetries (local and nonlocal) and conservation laws (local and nonlocal) of a given PDE system and how to use systematically symmetries and conservation laws for related applications.

Beyond its central premise, the book can be read through the connected lenses of Nonfiction. Those themes offer useful points of attention as the characters, ideas, or world develop, especially where the book complicates the expectations of its primary category.

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Themes to notice

Nonfiction

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Content notes

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Reading experience

Balanced tone · Steady pace

A comfortable full-length choice for steady daily reading.

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Advanced Symmetry Method Differential Equations (Applied Mathematical Sciences)George Bluman, Stephen Anco
Powerful4.6/5

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Reading lengthA standard-length read355 pages in this edition
Publication eraModernFirst published or edition dated 2007
Primary categoryNonfictionExplore similar books below
ISBN-13
978-0-3879-8612-8
Language
English
Edition record
OL10155976M
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A more thoughtful way into this book

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Good to know

A comfortable full-length choice for steady daily reading.

Begin with its place in Nonfiction, then notice where the book resists that label.

Try this reading approach

Read for connection, not completion.

Mark one passage that sharpens the book's central concern and one that complicates it. That tension often reveals more than a quick summary.

Three questions to carry with you

  1. Whose perspective organizes the story, and whose perspective remains outside it?
  2. Which sources or lived experiences carry the author’s central argument?
  3. How does the book change the way you understand its larger subject?

Editorial framework by Wesley Bryan, BookenDeX Founder and Editor.