[Free Download.3tpN] Calculus of Variations (Dover Books on Mathematics)
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Book Details :
Published on: 2012-04-26
Released on: 2012-04-26
Original language:
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Based on a series of lectures given by I. M. Gelfand at Moscow State University, this book actually goes considerably beyond the material presented in the lectures. The aim is to give a treatment of the elements of the calculus of variations in a form both easily understandable and sufficiently modern. Considerable attention is devoted to physical applications of variational methods, e.g., canonical equations, variational principles of mechanics, and conservation laws.The reader who merely wishes to become familiar with the most basic concepts and methods of the calculus of variations need only study the first chapter. Students wishing a more extensive treatment, however, will find the first six chapters comprise a complete university-level course in the subject, including the theory of fields and sufficient conditions for weak and strong extrema. Chapter 7 considers the application of variational methods to the study of systems with infinite degrees of freedom, and Chapter 8 deals with direct methods in the calculus of variations. The problems following each chapter were made specially for this English-language edition, and many of them comment further on corresponding parts of the text. Two appendices and suggestions for supplementary reading round out the text.Substantially revised and corrected by the translator, this inexpensive new edition will be welcomed by advanced undergraduate and graduate students of mathematics and physics. Calculus of variations - Wikipedia Calculus of variations is a field of mathematical analysis that deals with maximizing or minimizing functionals which are mappings from a set of functions to the ... Euler-Lagrange Differential Equation -- from Wolfram MathWorld The Euler-Lagrange differential equation is the fundamental equation of calculus of variations. It states that if J is defined by an integral of the form J=intf(tyy ... FOR THE MATH ENTHUSIAST - Dover Books Mathematics To Order Contact Your Local Dover Rep or Tel 800-223-3130 Fax 516-742-5049 doverdirect.com119 TOP 10 BACKLIST Related Titles 0-486-24823-2 Kline ... Applied Mathematics Books - Dover Publications Applied mathematics involves mathematical methods used to solve practical problems in science engineering business and industry. Dover offers foundational works ... Mathematics Books Math Books - Dover Publications Dover is most recognized for our magnificent math books list. Dover books on mathematics include authors Paul J. Cohen ( Set Theory and the Continuum ... Calculus - Wikipedia Calculus (from Latin calculus literally "small pebble used for counting") is the mathematical study of continuous change in the same way that geometry is the study ... Calculus -- from Wolfram MathWorld Calculus. In general "a" calculus is an abstract theory developed in a purely formal way. "The" calculus more properly called analysis (or real analysis or in ... Books in the Mathematical Sciences This site is intended as a resource for university students in the mathematical sciences. Books are recommended on the basis of readability and other pedagogical value. Applied Mathematics - Free E-Books Applied Mathematics - list of freely downloadable books at E-Books Directory Free Textbook Tensor Calculus and Continuum Mechanics FREE TEXTBOOK (Represents about 80% of finished project.) Introduction to Tensor Calculus and Continuum Mechanics. Files in the PDF (Portable Document Format) format ...
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