id: 06367298
dt: b
an: 2015f.00834
au: Krantz, Steven G.
ti: Differential equations. Theory, technique, and practice. 2nd ed.
so: Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN
978-1-4822-4702-2/hbk). xvi, 541~p. (2015).
py: 2015
pu: Boca Raton, FL: CRC Press
la: EN
cc: I75
ut: differential equations; solution methods; qualitative theory; power series
solutions; numerical methods for differential equations; Fourier
series; calculus of variations; partial differential equations;
dynamical systems; Laplace transform
ci:
li:
ab: This is the second edition of a very nice textbook on differential equation
written by Steven Krantz, a very respected researcher and a prolific
writer. Retaining many of the strong aspects of the first edition which
received a positive feedback from the readers, the new edition focuses
on clarity of exposition and examples, many of which feature
applications of differential equations. New examples have been added
and exercise sets have been augmented, some parts of the material have
been rearranged, material on nonlinear differential equations and
dynamical systems has been refined reflecting some of current research
ideas in the field. As in the first edition, the revision retains the
unique Historical Notes sections, Math Nuggets, the Anatomy of an
Application sections, and the Problems for review and Discovery
sections. Being an homage to the excellent writing skills of George
Simmons and his well-known text on differential equations written back
in 1972, this updated edition maintains the highest standards of
mathematics exposition. Warmly recommended as a comprehensive and
modern textbook on theory, methods, and applications of differential
equations!
rv: Svitlana P. Rogovchenko (Kristiansand)