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Author: Hans Sagan
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 484
ISBN-13: 048613802X
DOWNLOAD EBOOKProvides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.
Author: Hansjörg Kielhöfer
Publisher: Springer
Published: 2018-01-25
Total Pages: 242
ISBN-13: 3319711237
DOWNLOAD EBOOKThis clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study. The book will be particularly useful for beginning graduate students from the physical, engineering, and mathematical sciences with a rigorous theoretical background.
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Published: 1950
Total Pages: 271
ISBN-13:
DOWNLOAD EBOOKAuthor: L.A. Pars
Publisher: Courier Corporation
Published: 2013-12-10
Total Pages: 358
ISBN-13: 0486165957
DOWNLOAD EBOOKClear, rigorous introductory treatment covers applications to geometry, dynamics, and physics. It focuses upon problems with one independent variable, connecting abstract theory with its use in concrete problems. 1962 edition.
Author: John A. Burns
Publisher: CRC Press
Published: 2013-08-28
Total Pages: 562
ISBN-13: 1466571403
DOWNLOAD EBOOKIntroduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions a
Author: Charles R. MacCluer
Publisher: Courier Corporation
Published: 2013-05-20
Total Pages: 274
ISBN-13: 0486278301
DOWNLOAD EBOOKFirst truly up-to-date treatment offers a simple introduction to optimal control, linear-quadratic control design, and more. Broad perspective features numerous exercises, hints, outlines, and appendixes, including a practical discussion of MATLAB. 2005 edition.
Author: Bruce van Brunt
Publisher: Springer Science & Business Media
Published: 2006-04-18
Total Pages: 295
ISBN-13: 0387216979
DOWNLOAD EBOOKSuitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.
Author: Mark Kot
Publisher: American Mathematical Society
Published: 2014-10-06
Total Pages: 311
ISBN-13: 1470414953
DOWNLOAD EBOOKThis 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.
Author: Bernard Dacorogna
Publisher: Imperial College Press
Published: 2009
Total Pages: 241
ISBN-13: 1848163339
DOWNLOAD EBOOKThe calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist ? mathematicians, physicists, engineers, students or researchers ? in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.In this new edition, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.
Author: I. M. Gelfand
Publisher: Courier Corporation
Published: 2012-04-26
Total Pages: 260
ISBN-13: 0486135012
DOWNLOAD EBOOKFresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
