A First Course in the Calculus of Variations (Student Mathematical Library) - Tapa blanda

Kot, Mark

 
9781470414955: A First Course in the Calculus of Variations (Student Mathematical Library)
Tapa blanda
ISBN 10: 1470414953 ISBN 13: 9781470414955
Editorial: American Mathematical Society, 2014

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Mark Kot, University of Washington, Seattle, WA, USA.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2014
Idioma
Inglés
ISBN 10 
1470414953
ISBN 13 
9781470414955
Encuadernación
Tapa blanda
Número de páginas
298
Contacto del fabricante
no disponible
Persona responsable
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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