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 ...
Read More
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.
Read Less
Add this copy of A First Course in the Calculus of Variations (Student to cart. $25.01, good condition, Sold by Blue Vase Books rated 5.0 out of 5 stars, ships from Interlochen, MI, UNITED STATES, published 2014 by American Mathematical Society.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
The item shows wear from consistent use but it remains in good condition and works perfectly. All pages and cover are intact including the dust cover if applicable. Spine may show signs of wear. Pages may include limited notes and highlighting. May NOT include discs access code or other supplemental materials.
Add this copy of A First Course in the Calculus of Variations (Student to cart. $36.01, very good condition, Sold by A Book Corner rated 5.0 out of 5 stars, ships from Beaverton, OR, UNITED STATES, published 2014 by American Mathematical Society.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Very good. Paperback. Cover and spine in good condition. Spine is tight. Penciled notations on first flyleaf. Pages are clean, no markings, notes or stains. Ships from Friends bookstore to benefit Beaverton (Oregon) library.
Add this copy of A First Course in the Calculus of Variations to cart. $39.00, good condition, Sold by bookbooth rated 4.0 out of 5 stars, ships from Berea, OH, UNITED STATES, published 2014 by American Mathematical Society.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Good. 5 1/2" x 8" Pages clean; binding tight; minor wear to covers. 298 pages. Illustrated. Intended for a first course in the calculus of variations, at the college senior or beginning graduate level.
Add this copy of A First Course in the Calculus of Variations (Student to cart. $68.89, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2014 by American Mathematical Society.
