Lectures on Applied Mathematics: The calculus of variations
Author: Francis Dominic Murnaghan
Publisher:
Published: 1962
Total Pages: 116
ISBN-13:
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Differential Geometry, Calculus of Variations, and Their Applications
Author: George M. Rassias
Publisher: CRC Press
Published: 1985-10-01
Total Pages: 550
ISBN-13: 9780824772673
DOWNLOAD EBOOKThis book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Lecture Notes On Calculus Of Variations
Author: Kung-ching Chang
Publisher: World Scientific
Published: 2016-09-16
Total Pages: 325
ISBN-13: 981314470X
DOWNLOAD EBOOKThis is based on the course 'Calculus of Variations' taught at Peking University from 2006 to 2010 for advanced undergraduate to graduate students majoring in mathematics. The book contains 20 lectures covering both the theoretical background material as well as an abundant collection of applications. Lectures 1-8 focus on the classical theory of calculus of variations. Lectures 9-14 introduce direct methods along with their theoretical foundations. Lectures 15-20 showcase a broad collection of applications. The book offers a panoramic view of the very important topic on calculus of variations. This is a valuable resource not only to mathematicians, but also to those students in engineering, economics, and management, etc.
Optimal Transport for Applied Mathematicians
Author: Filippo Santambrogio
Publisher: Birkhäuser
Published: 2015-10-17
Total Pages: 376
ISBN-13: 3319208284
DOWNLOAD EBOOKThis monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.
Calculus of Variations
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.
Calculus of Variations and Optimal Control Theory
Author: Daniel Liberzon
Publisher: Princeton University Press
Published: 2012
Total Pages: 255
ISBN-13: 0691151873
DOWNLOAD EBOOKThis textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
The Calculus of Variations
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.
A Primer on the Calculus of Variations and Optimal Control Theory
Author: Mike Mesterton-Gibbons
Publisher: American Mathematical Soc.
Published: 2009
Total Pages: 274
ISBN-13: 0821847724
DOWNLOAD EBOOKThe calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.
Lectures in Applied Mathematics and Informatics
Author: Luigi M. Ricciardi
Publisher: Manchester University Press
Published: 1990
Total Pages: 386
ISBN-13: 9780719026713
DOWNLOAD EBOOKA collection of selected lectures in applied mathematics, delivered by visiting professors within the Research Doctorate Programme in Applied Mathematics and Informatics at the University of Naples. Each lecture is a self-contained chapter focusing on the latest issues in applied mathematics and informatics. Emphasis is placed on computational aspects but very recent findings are discussed without excessive technical jargon.
The Calculus of Variations and Functional Analysis
Author: L. P. Lebedev
Publisher: World Scientific
Published: 2003
Total Pages: 435
ISBN-13: 9812794999
DOWNLOAD EBOOKThis volume is aimed at those who are concerned about Chinese medicine - how it works, what its current state is and, most important, how to make full use of it. The audience therefore includes clinicians who want to serve their patients better and patients who are eager to supplement their own conventional treatment. The authors of the book belong to three different fields, modern medicine, Chinese medicine and pharmacology. They provide information from their areas of expertise and concern, attempting to make it comprehensive for users. The approach is macroscopic and philosophical; readers convinced of the philosophy are to seek specific assistance.
