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Applied Calculus Of Variations For Engineers Third Edition
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Book Synopsis Applied Calculus of Variations for Engineers by : Louis Komzsik
Download or read book Applied Calculus of Variations for Engineers written by Louis Komzsik and published by CRC Press. This book was released on 2018-09-03 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applied Calculus of Variations for Engineers, Third edition by : Louis Komzsik
Download or read book Applied Calculus of Variations for Engineers, Third edition written by Louis Komzsik and published by CRC Press. This book was released on 2019-11-22 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus of variations has a long history. Its fundamentals were laid down by icons of mathematics like Euler and Lagrange. It was once heralded as the panacea for all engineering optimization problems by suggesting that all one needed to do was to state a variational problem, apply the appropriate Euler-Lagrange equation and solve the resulting differential equation. This, as most all encompassing solutions, turned out to be not always true and the resulting differential equations are not necessarily easy to solve. On the other hand, many of the differential equations commonly used in various fields of engineering are derived from a variational problem. Hence it is an extremely important topic justifying the new edition of this book. This third edition extends the focus of the book to academia and supports both variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts.
Book Synopsis Applied Calculus of Variations for Engineers, Second Edition by : Louis Komzsik
Download or read book Applied Calculus of Variations for Engineers, Second Edition written by Louis Komzsik and published by . This book was released on 2014-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Book Synopsis Applied Calculus of Variations for Engineers, Second Edition by : Louis Komzsik
Download or read book Applied Calculus of Variations for Engineers, Second Edition written by Louis Komzsik and published by CRC Press. This book was released on 2014-06-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to the Mathematics of Variation by : Taha Sochi
Download or read book Introduction to the Mathematics of Variation written by Taha Sochi and published by Taha Sochi. This book was released on 2022-08-16 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the calculus of variations which is a subject concerned mainly with optimization of functionals. However, because part of it is based on using ordinary calculus in solving optimization problems, "Calculus of Variations" in its original title is modified to become “Mathematics of Variation”. In fact, the book is essentially a collection of solved problems with rather modest theoretical background and hence it is based on the method of "learning by example and practice" which in our view is the most effective way for learning mathematics and overcoming its difficulties. The main merit of the book is its clarity, intuitive structure and rather inclusiveness as it includes the main topics and applications of this subject. The materials in this book require decent background in general mathematics (mostly in single-variable and multi-variable differential and integral calculus). The book can be used as a text or as a reference for an introductory course on this subject as part of an undergraduate curriculum in physics or engineering or applied mathematics. The book can also be used as a source of supplementary pedagogical materials used in tutorial sessions associated with such a course.
Book Synopsis Calculus of Variations by : Charles R. MacCluer
Download or read book Calculus of Variations written by Charles R. MacCluer and published by Courier Corporation. This book was released on 2013-05-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: First 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.
Book Synopsis Math Refresher for Scientists and Engineers by : John R. Fanchi
Download or read book Math Refresher for Scientists and Engineers written by John R. Fanchi and published by John Wiley & Sons. This book was released on 2006-06-12 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers. The book focuses on practical applications and exercises that readers are likely to face in their professional environments. All the basic math skills needed to manage contemporary technology problems are addressed and presented in a clear, lucid style that readers familiar with previous editions have come to appreciate and value. The book begins with basic concepts in college algebra and trigonometry, and then moves on to explore more advanced concepts in calculus, linear algebra (including matrices), differential equations, probability, and statistics. This Third Edition has been greatly expanded to reflect the needs of today's professionals. New material includes: * A chapter on integral equations * A chapter on calculus of variations * A chapter on tensor analysis * A section on time series * A section on partial fractions * Many new exercises and solutions Collectively, the chapters teach most of the basic math skills needed by scientists and engineers. The wide range of topics covered in one title is unique. All chapters provide a review of important principles and methods. Examples, exercises, and applications are used liberally throughout to engage the readers and assist them in applying their new math skills to actual problems. Solutions to exercises are provided in an appendix. Whether to brush up on professional skills or prepare for exams, readers will find this self-study guide enables them to quickly master the math they need. It can additionally be used as a textbook for advanced-level undergraduates in physics and engineering.
Book Synopsis Calculus of Variations - With Applications to Physics and Engineering by : Robert Weinstock
Download or read book Calculus of Variations - With Applications to Physics and Engineering written by Robert Weinstock and published by Weinstock Press. This book was released on 2007-03 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is in two sections. the first part dealing with, background material, basic theorems and isoperimetric problems. The second part devoted to applications, geometrical optics, particle dynamics, he theory of elasticity, electrostatics, quantum mechanics and much more. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Book Synopsis Handbook of Mathematics for Engineers and Scientists by : Andrei D. Polyanin
Download or read book Handbook of Mathematics for Engineers and Scientists written by Andrei D. Polyanin and published by CRC Press. This book was released on 2006-11-27 with total page 1542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.
Book Synopsis Applied Mathematics by : J. David Logan
Download or read book Applied Mathematics written by J. David Logan and published by Wiley-Interscience. This book was released on 2006-04-14 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated edition strikes a balance between the mathematical aspects of the subject and its origin in empirics. It offers, at an elementary level, some of the current topics in applied mathematics such as singular perturbation, nonlinear waves, bifurcation, and the numerical solution of partial differential equations. New material includes a discussion on discrete models, more references to mathematical biology in the text and exercises, and a new chapter on stochastic models including sections on probability, stochastic processes, and stochastic differential equations and difference equations.
Book Synopsis Applied Mathematics for Engineers and Physicists by : Louis Albert Pipes
Download or read book Applied Mathematics for Engineers and Physicists written by Louis Albert Pipes and published by . This book was released on 1946 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Calculus by : Lynn Harold Loomis
Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Book Synopsis Approximation Techniques for Engineers by : Louis Komzsik
Download or read book Approximation Techniques for Engineers written by Louis Komzsik and published by CRC Press. This book was released on 2017-04-14 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition includes eleven new sections based on the approximation of matrix functions, deflating the solution space and improving the accuracy of approximate solutions, iterative solution of initial value problems of systems of ordinary differential equations, and the method of trial functions for boundary value problems. The topics of th
Book Synopsis Advanced Engineering Analysis: The Calculus Of Variations And Functional Analysis With Applications In Mechanics by : Lebedev Leonid P
Download or read book Advanced Engineering Analysis: The Calculus Of Variations And Functional Analysis With Applications In Mechanics written by Lebedev Leonid P and published by World Scientific. This book was released on 2012-03-27 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Engineering Analysis is a textbook on modern engineering analysis, covering the calculus of variations, functional analysis, and control theory, as well as applications of these disciplines to mechanics. The book offers a brief and concise, yet complete explanation of essential theory and applications. It contains exercises with hints and solutions, ideal for self-study.
Book Synopsis Essentials of Applied Calculus by : Robert Gibbes Thomas
Download or read book Essentials of Applied Calculus written by Robert Gibbes Thomas and published by . This book was released on 1924 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to the Calculus of Variations and Control with Modern Applications by : John A. Burns
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
Book Synopsis Mathematical Methods for Engineers and Scientists 2 by : Kwong-Tin Tang
Download or read book Mathematical Methods for Engineers and Scientists 2 written by Kwong-Tin Tang and published by Springer Science & Business Media. This book was released on 2006-11-30 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.
