''Ordinary Differential Equations'', published by
MIT Press
The MIT Press is the university press of the Massachusetts Institute of Technology (MIT), a private research university in Cambridge, Massachusetts. The MIT Press publishes a number of academic journals and has been a pioneer in the Open Ac ...
in 1973, is a textbook by mathematician
Vladimir Arnold
Vladimir Igorevich Arnold (or Arnol'd; , ; 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to s ...
. It was translated from the Russian by Richard A. Silverman. It's an introductory course for graduate students or strong undergraduate students. The focus is on applications to
mechanics
Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...
. Some opinions of reviewers: Chicone praised the book, while Sacker mentioned that many results are given without
proof
Proof most often refers to:
* Proof (truth), argument or sufficient evidence for the truth of a proposition
* Alcohol proof, a measure of an alcoholic drink's strength
Proof may also refer to:
Mathematics and formal logic
* Formal proof, a co ...
. As put by the magazine ''
American Scientist
''American Scientist'' (informally abbreviated ''AmSci'') is an American bimonthly science and technology magazine published since 1913 by Sigma Xi, The Scientific Research Honor Society. In the beginning of 2000s the headquarters was moved to ...
'': "
..textbook treats the subject of
ordinary differential equation
In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable (mathematics), variable. As with any other DE, its unknown(s) consists of one (or more) Function (mathematic ...
s in an entirely new way
.. One can expect this book to bring new life into this old subject."
[https://mitpress.mit.edu/9780262010375/ordinary-differential-equations/]
References
Mathematics textbooks
MIT Press books
Ordinary differential equations
1973 non-fiction books
{{Math-book-stub