Download or read book The Development of Sufficient Conditions in the Calculus of Variations written by William Larkin DUREN (Mathematician.) and published by . This book was released on with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Development of Sufficient Conditions in the Calculus of Variations written by William Larkin Duren and published by . This book was released on 1930 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Development of Sufficient Conditions in the Calculus of Variations by William Larkin Duren Jr A Thesis written by William Larkin Duren and published by . This book was released on 1930 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Calculus of Variations and Control with Modern Applications written by John A. Burns and published by CRC Press. This book was released on 2013-08-28 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction 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
Download or read book Sufficient Conditions in the Calculus of Variations written by William Fogg Osgood and published by . This book was released on 1901 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Certain Necessary Conditions and Sufficient Conditions in the Calculus of Variations written by Gerald Irving Harrison and published by . This book was released on 1938 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Necessary and Sufficient Conditions for Extremums in the Calculus of Variations written by Charles B. Frye and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A First Course in the Calculus of Variations written by Mark Kot and published by American Mathematical Society. This book was released on 2014-10-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to the Calculus of Variations written by Hans Sagan and published by Courier Corporation. This book was released on 2012-04-26 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides 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.
Download or read book The Calculus of Variations and Optimal Control written by George Leitmann and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources; however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems.
Download or read book Sufficient Conditions for a Problem of Mayer in the Calculus of Variations written by Gilbert Ames BLISS (and HESTENES (Magnus Rudolph)) and published by . This book was released on 1933 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus of Variations and Optimal Control written by N. P. Osmolovskii and published by American Mathematical Soc.. This book was released on 1998-08-18 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of a Pontryagin minimum is developed for problems in the calculus of variations. The application of the notion of a Pontryagin minimum to the calculus of variations is a distinctive feature of this book. A new theory of quadratic conditions for a Pontryagin minimum, which covers broken extremals, is developed, and corresponding sufficient conditions for a strong minimum are obtained. Some classical theorems of the calculus of variations are generalized.
Download or read book Introduction To The Calculus of Variations And Its Applications written by Frederic Wan and published by Routledge. This book was released on 2017-10-19 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive text provides all information necessary for an introductory course on the calculus of variations and optimal control theory. Following a thorough discussion of the basic problem, including sufficient conditions for optimality, the theory and techniques are extended to problems with a free end point, a free boundary, auxiliary and inequality constraints, leading to a study of optimal control theory.
Download or read book Introduction to the Calculus of Variations written by U. Brechteken-Mandersch and published by CRC Press. This book was released on 1991-06-01 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a clear, concise introduction to the calculus of variations. The introductory chapter provides a general sense of the subject through a discussion of several classical and contemporary examples of the subject's use.
Download or read book Sufficient Conditions in the Calculus of Variations and Optimal Control written by Roger Normand Belanger and published by . This book was released on 1974 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Calculus of Variations written by Izrail Moiseevitch Gelfand and published by Courier Corporation. This book was released on 2000-01-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fresh, 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.
Download or read book Some Necessary and Sufficient Conditions for the Calculus of Variation written by Larry Paul Hope and published by . This book was released on 1976 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:
