applied calculus of variations for engineers

Download Book Applied Calculus Of Variations For Engineers in PDF format. You can Read Online Applied Calculus Of Variations For Engineers here in PDF, EPUB, Mobi or Docx formats.

Applied Calculus Of Variations For Engineers

Author : Louis Komzsik
ISBN : 9781351831017
Genre : Mathematics
File Size : 45. 27 MB
Format : PDF, ePub, Docs
Download : 937
Read : 1089

Get This Book


The purpose of the calculus of variations is to find optimal solutions to engineering problems whose optimum may be a certain quantity, shape, or function. Applied Calculus of Variations for Engineers addresses this important mathematical area applicable to many engineering disciplines. Its unique, application-oriented approach sets it apart from the theoretical treatises of most texts, as it is aimed at enhancing the engineer’s understanding of the topic. This Second Edition text: Contains new chapters discussing analytic solutions of variational problems and Lagrange-Hamilton equations of motion in depth Provides new sections detailing the boundary integral and finite element methods and their calculation techniques Includes enlightening new examples, such as the compression of a beam, the optimal cross section of beam under bending force, the solution of Laplace’s equation, and Poisson’s equation with various methods Applied Calculus of Variations for Engineers, Second Edition extends the collection of techniques aiding the engineer in the application of the concepts of the calculus of variations.

Calculus Of Variations

Author : Robert Weinstock
ISBN : 0486630692
Genre : Mathematics
File Size : 26. 67 MB
Format : PDF, ePub
Download : 201
Read : 470

Get This Book


This text is basically divided into two parts. Chapters 1–4 include background material, basic theorems and isoperimetric problems. Chapters 5–12 are devoted to applications, geometrical optics, particle dynamics, the theory of elasticity, electrostatics, quantum mechanics, and other topics. Exercises in each chapter. 1952 edition.

Applied Engineering Mathematics

Author : Xin-She Yang
ISBN : 9781904602569
Genre : Mathematics
File Size : 83. 78 MB
Format : PDF, Docs
Download : 283
Read : 342

Get This Book


This book strives to provide a concise and yet comprehensive cover-age of all major mathematical methods in engineering. Topics in-clude advanced calculus, ordinary and partial differential equations, complex variables, vector and tensor analysis, calculus of variations, integral transforms, integral equations, numerical methods, and prob-ability and statistics. Application topics consist of linear elasticity, harmonic motions, chaos, and reaction-diffusion systems. . This book can serve as a textbook in engineering mathematics, mathematical modelling and scientific computing. This book is organised into 19 chapters. Chapters 1-14 introduce various mathematical methods, Chapters 15-18 concern the numeri-cal methods, and Chapter 19 introduces the probability and statistics.

Variational Methods With Applications In Science And Engineering

Author : Kevin W. Cassel
ISBN : 9781107022584
Genre : Mathematics
File Size : 63. 51 MB
Format : PDF, ePub
Download : 829
Read : 680

Get This Book


This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.

An Introduction To The Calculus Of Variations

Author : Charles Fox
ISBN : 0486654990
Genre : Mathematics
File Size : 75. 70 MB
Format : PDF, Docs
Download : 766
Read : 930

Get This Book


In this highly regarded text for advanced undergraduate and graduate students, the author develops the calculus of variations both for its intrinsic interest and for its powerful applications to modern mathematical physics. Topics include first and second variations of an integral, generalizations, isoperimetrical problems, least action, special relativity, elasticity, more. 1963 edition.

Calculus Of Variations And Optimal Control Theory

Author : Daniel Liberzon
ISBN : 9780691151878
Genre : Mathematics
File Size : 42. 29 MB
Format : PDF, Docs
Download : 957
Read : 1223

Get This Book


This 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

Optimal Control And The Calculus Of Variations

Author : Enid R. Pinch
ISBN : 0191590495
Genre : Technology & Engineering
File Size : 24. 3 MB
Format : PDF, Mobi
Download : 399
Read : 1244

Get This Book


A paperback edition of this successful textbook for final year undergraduate mathematicians and control engineering students, this book contains exercises and many worked examples, with complete solutions and hints making it ideal not only as a class textbook but also for individual study. The intorduction to optimal control begins by considering the problem of minimizing a function of many variables, before moving on to the main subject: the optimal control of systems governed by ordinary differential equations.

World Of Five

Author : Louis Komzsik
ISBN : 9781466970779
Genre : History
File Size : 77. 83 MB
Format : PDF, Docs
Download : 516
Read : 791

Get This Book


In this enjoyable and lightheaded volume, he gathers a plethora of cultural, biological, geometrical, algebraic, and planetary phenomena of our lives related to the number five. He investigates these occurrences in various facets of life on earth and seeks plausible explanations for some of them and hypothesizes about some others while widening your horizon.

Einf Hrung In Die Geometrie Und Topologie

Author : Werner Ballmann
ISBN : 9783034809016
Genre : Mathematics
File Size : 58. 81 MB
Format : PDF, ePub, Mobi
Download : 762
Read : 1091

Get This Book


Das Buch bietet eine Einführung in die Topologie, Differentialtopologie und Differentialgeometrie. Es basiert auf Manuskripten, die in verschiedenen Vorlesungszyklen erprobt wurden. Im ersten Kapitel werden grundlegende Begriffe und Resultate aus der mengentheoretischen Topologie bereitgestellt. Eine Ausnahme hiervon bildet der Jordansche Kurvensatz, der für Polygonzüge bewiesen wird und eine erste Idee davon vermitteln soll, welcher Art tiefere topologische Probleme sind. Im zweiten Kapitel werden Mannigfaltigkeiten und Liesche Gruppen eingeführt und an einer Reihe von Beispielen veranschaulicht. Diskutiert werden auch Tangential- und Vektorraumbündel, Differentiale, Vektorfelder und Liesche Klammern von Vektorfeldern. Weiter vertieft wird diese Diskussion im dritten Kapitel, in dem die de Rhamsche Kohomologie und das orientierte Integral eingeführt und der Brouwersche Fixpunktsatz, der Jordan-Brouwersche Zerlegungssatz und die Integralformel von Stokes bewiesen werden. Das abschließende vierte Kapitel ist den Grundlagen der Differentialgeometrie gewidmet. Entlang der Entwicklungslinien, die die Geometrie der Kurven und Untermannigfaltigkeiten in Euklidischen Räumen durchlaufen hat, werden Zusammenhänge und Krümmung, die zentralen Konzepte der Differentialgeometrie, diskutiert. Den Höhepunkt bilden die Gaussgleichungen, die Version des theorema egregium von Gauss für Untermannigfaltigkeiten beliebiger Dimension und Kodimension. Das Buch richtet sich in erster Linie an Mathematik- und Physikstudenten im zweiten und dritten Studienjahr und ist als Vorlage für ein- oder zweisemestrige Vorlesungen geeignet.

Methoden Der Mathematischen Physik

Author : Richard Courant
ISBN : 9783662364451
Genre : Mathematics
File Size : 28. 48 MB
Format : PDF, Kindle
Download : 620
Read : 1218

Get This Book


Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Top Download:

Best Books