Translation of a German book about ODEs

Click For Summary

Discussion Overview

The discussion revolves around finding a translation or alternative resources for the German book "Differentialgleichungen: Lösungsmethoden und Lösungen" by Erich Kamke, which focuses on ordinary differential equations (ODEs). Participants express interest in special types of ODEs and seek similar resources or databases that could aid in understanding or solving these equations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants identify the book in question as "Differentialgleichungen: Lösungsmethoden und Lösungen" by Erich Kamke, noting it was printed in two volumes.
  • There is mention of the book being reprinted in 2013, with specific ISBNs provided for reference.
  • Participants express difficulty in finding English translations of Kamke's works, with some noting that other translations exist only in Russian.
  • Suggestions are made to use bookfinder.com to search for books related to ordinary differential equations and to look for available PDFs on .edu sites.
  • One participant describes the Kamke book as a long list of solution methods and a database of differential equations, suggesting that it lacks deeper insights.
  • A similar book by Murphy is mentioned, which also contains databases of ODEs used for validating symbolic solvers like Maple and Mathematica.
  • A link to a repository containing lists of differential equations from both Kamke and Murphy is shared, along with a note on the classification of ODEs being immature at the time of compilation.
  • The NIST Digital Library of Mathematical Functions is suggested as a potential resource for finding needed information.

Areas of Agreement / Disagreement

Participants generally agree on the identification of the Kamke book and its content, but there is no consensus on the availability of translations or the best resources for ODEs. Multiple competing views on the usefulness of the Kamke book and alternative resources remain unresolved.

Contextual Notes

Some limitations include the lack of clarity on the specific types of ODEs the original poster is interested in, as well as the absence of definitive recommendations for alternative resources. The discussion also reflects varying levels of familiarity with the subject matter among participants.

Buffu
Messages
851
Reaction score
147
I need a translation of "Differentialgleichungen : Losungsmethoden und Losugen", I guess it is written in German. This book was referenced in Shepley L. Ross' book on ODE.

If the English translation is not unavailable, I am fine with a book that contains a "list" of special differential equations and their solutions.

I am just interested in knowing special types of ordinary differential equations. :smile:
 
Last edited by a moderator:
Physics news on Phys.org
Maybe the reference is to:
"Differentialgleichungen: Lösungsmethoden und Lösungen", by Erich Kamke.
Notice that it was printed in two volumes.

It was reprinted in 2013, Softcover, ISBN 9783663120582 / 3663120589

Search for any book by title, author and language. https://www.bookfinder.com
Apart from his “Theory of Sets”, I see no books by Erich Kamke that are not in German.
 
Baluncore said:
Apart from his “Theory of Sets”, I see no books by Erich Kamke that are not in German.
Some of his books are translated to Russian, but I guess it doesn't help. :biggrin:
 
Demystifier said:
Some of his books are translated to Russian, but I guess it doesn't help. :biggrin:

Yes, I don't know Russian also.

Baluncore said:
Maybe the reference is to:
"Differentialgleichungen: Lösungsmethoden und Lösungen", by Erich Kamke.
Notice that it was printed in two volumes.

It was reprinted in 2013, Softcover, ISBN 9783663120582 / 3663120589

Search for any book by title, author and language. https://www.bookfinder.com
Apart from his “Theory of Sets”, I see no books by Erich Kamke that are not in German.

Any other similar book or online resource ? I don't think I am the only one who needs such a book.
 
If you type ' ordinary differential equation solutions ' into the search title field of bookfinder.com you will get many results.
Use google to find those that are available on the web as pdf files on .edu sites.
 
  • Like
Likes   Reactions: Buffu
Baluncore said:
If you type ' ordinary differential equation solutions ' into the search title field of bookfinder.com you will get many results.
Use google to find those that are available on the web as pdf files on .edu sites.

I am overwhelmed by the amount of results. Can you help me sort some good ones out ?
 
Buffu said:
I am overwhelmed by the amount of results. Can you help me sort some good ones out ?
I doubt it. I do not know what you really want or why you want it. If you find a useful book in a library or on the web, you can buy a copy, through Amazon if possible to benefit PF. You can also “invent” the title of the book you want and search to find that. Then use a library or google books to see if it has what you want.
 
Baluncore said:
I doubt it. I do not know what you really want or why you want it. If you find a useful book in a library or on the web, you can buy a copy, through Amazon if possible to benefit PF. You can also “invent” the title of the book you want and search to find that. Then use a library or google books to see if it has what you want.

Ok no problem. Thanks for help anyways.
 
The Kamke book is basically a long list of solution methods without too much insight, followed by a database of differential equations and their solutions. A similar book is Murphy 'ordinary differential equations and their solutions'. These databases are used for validation of symbolic ode solvers (maple, mathematica, maxima, ...).

If you want the actual list of differential equations from both Kamke and Murphy, you can find it in the repository of the maxima CAS:

https://github.com/andrejv/maxima/tree/master/share/contrib/diffequations/tests

Most of these odes are not that special and the list was compiled in a time when classification of odes was immature. A number of first order odes in the list for instance are linear, separable or exact, so not very interesting. There are more logical classification methods based on the properties of the Galois group or the symmetries.
 
  • Like
Likes   Reactions: weak_phys, Buffu and vanhees71
  • #10
http://dlmf.nist.gov/
This is the NIST Digital Library of Mathematical functions - the successor to Abramowitz and Stegun. Consider this as a possible source for what you need.
 
  • Like
Likes   Reactions: Buffu

Similar threads

  • · Replies 8 ·
Replies
8
Views
5K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 17 ·
Replies
17
Views
3K
  • Sticky
  • · Replies 16 ·
Replies
16
Views
13K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 34 ·
2
Replies
34
Views
10K