Introduction To The Calculus Of Variations (2Nd Edition) - Softcover

9781848163348: Introduction To The Calculus Of Variations (2Nd Edition)
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THE CALCULUS OF VARIATIONS IS ONE OF THE OLDEST SUBJECTS IN MATHEMATICS, YET IS VERY MUCH ALIVE AND IS STILL EVOLVING. BESIDES ITS MATHEMATICAL IMPORTANCE AND ITS LINKS TO OTHER BRANCHES OF MATHEMATICS, SUCH AS GEOMETRY OR DIFFERENTIAL EQUATIONS, IT IS WIDELY USED IN PHYSICS, ENGINEERING, ECONOMICS AND BIOLOGY.THIS BOOK SERVES BOTH AS A GUIDE TO THE EXPANSIVE EXISTING LITERATURE AND AS AN AID TO THE NON-SPECIALIST - MATHEMATICIANS, PHYSICISTS, ENGINEERS, STUDENTS OR RESEARCHERS - IN DISCOVERING THE SUBJECT'S MOST IMPORTANT PROBLEMS, RESULTS AND TECHNIQUES. DESPITE THE AIM OF ADDRESSING NON-SPECIALISTS, MATHEMATICAL RIGOR HAS NOT BEEN SACRIFICED; MOST OF THE THEOREMS ARE EITHER FULLY PROVED OR PROVED UNDER MORE STRINGENT CONDITIONS.IN THIS NEW EDITION, THE CHAPTER ON REGULARITY HAS BEEN SIGNIFICANTLY EXPANDED AND 27 NEW EXERCISES HAVE BEEN ADDED. THE BOOK, CONTAINING A TOTAL OF 13 EXERCISES WITH DETAILED SOLUTIONS, IS WELL DESIGNED FOR A COURSE AT BOTH UNDERGRADUATE AND GRADUATE LEVELS.SAMPLE CHAPTER(S)INTRODUCTION (199 KB)

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The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist - mathematicians, physicists, engineers, students or researchers - in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.In this new edition, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

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  • VerlagIcp
  • Erscheinungsdatum2008
  • ISBN 10 1848163347
  • ISBN 13 9781848163348
  • EinbandTapa blanda
  • Auflage2
  • Anzahl der Seiten298
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Buchbeschreibung Softcover. 2. ed. 285 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. 9781848163348 Sprache: Englisch Gewicht in Gramm: 550. Artikel-Nr. 2341086

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