Mathematical Principles of Mechanics and Electromagnetism

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Publisher : Springer Science & Business Media
ISBN 13 : 1468435361
Total Pages : 216 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Mathematical Principles of Mechanics and Electromagnetism by : Chao-cheng Wang

Download or read book Mathematical Principles of Mechanics and Electromagnetism written by Chao-cheng Wang and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Principles of Mechanics and Electromagnetism. Pt. A. Analytical and Continuum Mechanics

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis Mathematical Principles of Mechanics and Electromagnetism. Pt. A. Analytical and Continuum Mechanics by : Chao-Cheng Wang

Download or read book Mathematical Principles of Mechanics and Electromagnetism. Pt. A. Analytical and Continuum Mechanics written by Chao-Cheng Wang and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Principles of Mechanics and Electromagnetism

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ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (79 download)

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Book Synopsis Mathematical Principles of Mechanics and Electromagnetism by : Chao-Cheng Wang

Download or read book Mathematical Principles of Mechanics and Electromagnetism written by Chao-Cheng Wang and published by . This book was released on 1978 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Principles of Mechanics and Electromagnetism

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Publisher : Springer Science & Business Media
ISBN 13 : 1468435396
Total Pages : 205 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Mathematical Principles of Mechanics and Electromagnetism by : Chao-cheng Wang

Download or read book Mathematical Principles of Mechanics and Electromagnetism written by Chao-cheng Wang and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical and Continuum Mechanics

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ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (989 download)

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Book Synopsis Analytical and Continuum Mechanics by : C. C. Wang

Download or read book Analytical and Continuum Mechanics written by C. C. Wang and published by . This book was released on 1979 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Principles of Mechanics and Electromagnetism

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Publisher :
ISBN 13 : 9781468435405
Total Pages : 212 pages
Book Rating : 4.4/5 (354 download)

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Book Synopsis Mathematical Principles of Mechanics and Electromagnetism by : Chao-cheng Wang

Download or read book Mathematical Principles of Mechanics and Electromagnetism written by Chao-cheng Wang and published by . This book was released on 2014-01-15 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Principles of Mechanics and Electromagnetism: Electromagnetism and gravitation

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ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (79 download)

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Book Synopsis Mathematical Principles of Mechanics and Electromagnetism: Electromagnetism and gravitation by : Chao-cheng Wang

Download or read book Mathematical Principles of Mechanics and Electromagnetism: Electromagnetism and gravitation written by Chao-cheng Wang and published by . This book was released on 1979 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Continuum Mechanics - after Truesdell and Noll

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Publisher : Springer Science & Business Media
ISBN 13 : 9401707138
Total Pages : 341 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis An Introduction to Continuum Mechanics - after Truesdell and Noll by : D.R Smith

Download or read book An Introduction to Continuum Mechanics - after Truesdell and Noll written by D.R Smith and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a brief introduction to rational continuum mechanics in a form suitable for students of engineering, mathematics and science. The presentation is tightly focused on the simplest case of the classical mechanics of nonpolar materials, leaving aside the effects of internal structure, temperature and electromagnetism, and excluding other mathematical models, such as statistical mechanics, relativistic mechanics and quantum mechanics. Within the limitations of the simplest mechanical theory, the author had provided a text that is largely self-contained. Though the book is primarily an introduction to continuum mechanics, the lure and attraction inherent in the subject may also recommend the book as a vehicle by which the student can obtain a broader appreciation of certain important methods and results from classical and modern analysis.

Dynamic Optimization and Mathematical Economics

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Publisher : Springer Science & Business Media
ISBN 13 : 1468435728
Total Pages : 273 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Dynamic Optimization and Mathematical Economics by : Pan-Tai Liu

Download or read book Dynamic Optimization and Mathematical Economics written by Pan-Tai Liu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.

Applications of Functional Analysis in Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 146843926X
Total Pages : 309 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Applications of Functional Analysis in Engineering by : J. Nowinski

Download or read book Applications of Functional Analysis in Engineering written by J. Nowinski and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, algebra, and geometry. At the turn of the nineteenth century, a number of observations, made sporadically over the preceding years, began to inspire systematic investigations into the common features of these three disciplines, which have developed rather independently of each other for so long. It was found that many concepts of this triad-analysis, algebra, geometry-could be incorporated into a single, but considerably more abstract, new discipline which came to be called functional analysis. In this way, many aspects of analysis and algebra acquired unexpected and pro found geometric meaning, while geometric methods inspired new lines of approach in analysis and algebra. A first significant step toward the unification and generalization of algebra, analysis, and geometry was taken by Hilbert in 1906, who studied the collection, later called 1 , composed of infinite sequences x = Xb X 2, ... , 2 X , ... , of numbers satisfying the condition that the sum Ik"= 1 X 2 converges. k k The collection 12 became a prototype of the class of collections known today as Hilbert spaces.

Principles of Engineering Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387312552
Total Pages : 611 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Principles of Engineering Mechanics by : Millard F. Beatty

Download or read book Principles of Engineering Mechanics written by Millard F. Beatty and published by Springer Science & Business Media. This book was released on 2010-06-01 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Separation of the elements of classical mechanics into kinematics and dynamics is an uncommon tutorial approach, but the author uses it to advantage in this two-volume set. Students gain a mastery of kinematics first – a solid foundation for the later study of the free-body formulation of the dynamics problem. A key objective of these volumes, which present a vector treatment of the principles of mechanics, is to help the student gain confidence in transforming problems into appropriate mathematical language that may be manipulated to give useful physical conclusions or specific numerical results. In the first volume, the elements of vector calculus and the matrix algebra are reviewed in appendices. Unusual mathematical topics, such as singularity functions and some elements of tensor analysis, are introduced within the text. A logical and systematic building of well-known kinematic concepts, theorems, and formulas, illustrated by examples and problems, is presented offering insights into both fundamentals and applications. Problems amplify the material and pave the way for advanced study of topics in mechanical design analysis, advanced kinematics of mechanisms and analytical dynamics, mechanical vibrations and controls, and continuum mechanics of solids and fluids. Volume I of Principles of Engineering Mechanics provides the basis for a stimulating and rewarding one-term course for advanced undergraduate and first-year graduate students specializing in mechanics, engineering science, engineering physics, applied mathematics, materials science, and mechanical, aerospace, and civil engineering. Professionals working in related fields of applied mathematics will find it a practical review and a quick reference for questions involving basic kinematics.

Dynamical Systems and Evolution Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1468410369
Total Pages : 244 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Dynamical Systems and Evolution Equations by : John A. Walker

Download or read book Dynamical Systems and Evolution Equations written by John A. Walker and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a nine-month course first given during 1976-77 in the Division of Engineering Mechanics, University of Texas (Austin), and repeated during 1977-78 in the Department of Engineering Sciences and Applied Mathematics, Northwestern University. Most of the students were in their second year of graduate study, and all were familiar with Fourier series, Lebesgue integration, Hilbert space, and ordinary differential equa tions in finite-dimensional space. This book is primarily an exposition of certain methods of topological dynamics that have been found to be very useful in the analysis of physical systems but appear to be well known only to specialists. The purpose of the book is twofold: to present the material in such a way that the applications-oriented reader will be encouraged to apply these methods in the study of those physical systems of personal interest, and to make the coverage sufficient to render the current research literature intelligible, preparing the more mathematically inclined reader for research in this particular area of applied mathematics. We present only that portion of the theory which seems most useful in applications to physical systems. Adopting the view that the world is deterministic, we consider our basic problem to be predicting the future for a given physical system. This prediction is to be based on a known equation of evolution, describing the forward-time behavior of the system, but it is to be made without explicitly solving the equation.

Differential Equations with Small Parameters and Relaxation Oscillations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461590477
Total Pages : 235 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Differential Equations with Small Parameters and Relaxation Oscillations by : E. Mishchenko

Download or read book Differential Equations with Small Parameters and Relaxation Oscillations written by E. Mishchenko and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large amount of work has been done on ordinary differ ential equations with small parameters multiplying deriv atives. This book investigates questions related to the asymptotic calculation of relaxation oscillations, which are periodic solutions formed of sections of both sl- and fast-motion parts of phase trajectories. A detailed discussion of solutions of differential equations involving small parameters is given for regions near singular points. The main results examined were obtained by L.S. Pontryagin and the authors. Other works have also been taken into account: A.A. Dorodnitsyn's investigations of Van der Pol's equation, results obtained by N.A. Zheleztsov and L.V. Rodygin concerning relaxation oscillations in electronic devices, and results due to A.N. Tikhonov and A.B. Vasil'eva concerning differential equations with small parameters multiplying certain derivatives. E.F. Mishchenko N. Kh. Rozov v CONTENTS Chapter I. Dependence of Solutions on Small Parameters. Applications of Relaxation Oscillations 1. Smooth Dependence. Poincare's Theorem . 1 2. Dependence of Solutions on a Parameter, on an Infinite Time Interval 3 3. Equations with Small Parameters 4 Multiplying Derivatives 4. Second-Order Systems. Fast and Slow Motion.

Advances in Geometric Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 1461582857
Total Pages : 457 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Advances in Geometric Programming by : Mordecai Avriel

Download or read book Advances in Geometric Programming written by Mordecai Avriel and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1961, C. Zener, then Director of Science at Westinghouse Corpora tion, and a member of the U. S. National Academy of Sciences who has made important contributions to physics and engineering, published a short article in the Proceedings of the National Academy of Sciences entitled" A Mathe matical Aid in Optimizing Engineering Design. " In this article Zener considered the problem of finding an optimal engineering design that can often be expressed as the problem of minimizing a numerical cost function, termed a "generalized polynomial," consisting of a sum of terms, where each term is a product of a positive constant and the design variables, raised to arbitrary powers. He observed that if the number of terms exceeds the number of variables by one, the optimal values of the design variables can be easily found by solving a set of linear equations. Furthermore, certain invariances of the relative contribution of each term to the total cost can be deduced. The mathematical intricacies in Zener's method soon raised the curiosity of R. J. Duffin, the distinguished mathematician from Carnegie Mellon University who joined forces with Zener in laying the rigorous mathematical foundations of optimizing generalized polynomials. Interes tingly, the investigation of optimality conditions and properties of the optimal solutions in such problems were carried out by Duffin and Zener with the aid of inequalities, rather than the more common approach of the Kuhn-Tucker theory.

Solution Methods for Integral Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1475714661
Total Pages : 351 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Solution Methods for Integral Equations by : M. A. Goldberg

Download or read book Solution Methods for Integral Equations written by M. A. Goldberg and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory and Applications of Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1489918752
Total Pages : 446 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Theory and Applications of Partial Differential Equations by : Piero Bassanini

Download or read book Theory and Applications of Partial Differential Equations written by Piero Bassanini and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a product of the experience of the authors in teaching partial differential equations to students of mathematics, physics, and engineering over a period of 20 years. Our goal in writing it has been to introduce the subject with precise and rigorous analysis on the one hand, and interesting and significant applications on the other. The starting level of the book is at the first-year graduate level in a U.S. university. Previous experience with partial differential equations is not required, but the use of classical analysis to find solutions of specific problems is not emphasized. From that perspective our treatment is decidedly theoretical. We have avoided abstraction and full generality in many situations, however. Our plan has been to introduce fundamental ideas in relatively simple situations and to show their impact on relevant applications. The student is then, we feel, well prepared to fight through more specialized treatises. There are parts of the exposition that require Lebesgue integration, distributions and Fourier transforms, and Sobolev spaces. We have included a long appendix, Chapter 8, giving precise statements of all results used. This may be thought of as an introduction to these topics. The reader who is not familiar with these subjects may refer to parts of Chapter 8 as needed or become somewhat familiar with them as prerequisite and treat Chapter 8 as Chapter O.

The Calculus of Variations and Optimal Control

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Publisher : Springer Science & Business Media
ISBN 13 : 148990333X
Total Pages : 313 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis The Calculus of Variations and Optimal Control by : George Leitmann

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.