A First Course in the Calculus of Variations (Student

A First Course in the Calculus of Variations (Student Mathematical Library) (Student Mathematical Library, 72)

This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
Country USA
Manufacturer American Mathematical Society
Binding Paperback
UnitCount 1
EANs 9781470414955
ReleaseDate 0000-00-00

Country	USA
Manufacturer	American Mathematical Society
Binding	Paperback
UnitCount	1
EANs	9781470414955
ReleaseDate	0000-00-00

A First Course in the Calculus of Variations (Student Mathematical Library) (Student Mathematical Library, 72)