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Multiple Integrals

Author: Walter Ledermann
Publisher: Springer Science & Business Media
ISBN: 9401160910
Size: 26.90 MB
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The aim of this book is to give an elementary treatment of multiple integrals. The notions of integrals extended over a curve, a plane region, a surface and a solid are introduced in tum, and methods for evaluating these integrals are presented in detail. Especial reference is made to the results required in Physics and other mathematical sciences, in which multiple integrals are an indispensable tool. A full theoretical discussion of this topic would involve deep problems of analysis and topology, which are outside the scope of this volume, and concessions had to be made in respect of completeness without, it is hoped, impairing precision and a reasonable standard of rigour. As in the author's Integral Calculus (in this series), the main existence theorems are first explained informally and then stated exactly, but not proved. Topological difficulties are circumvented by imposing some what stringent, though no unrealistic, restrictions on the regions of integration. Numerous examples are worked out in the text, and each chapter is followed by a set of exercises. My thanks are due to my colleague Dr. S. Swierczkowski, who read the manuscript and made valuable suggestions. w. LEDERMANN The University of Sussex, Brighton.

Engineering Mathematics

Author: DWIVEDI, A. P.
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120351053
Size: 63.64 MB
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This book is designed to equip the students with an in-depth and single-source coverage of the complete spectrum of Engineering Mathematics I, ranging from Differential Calculus I, Differential Calculus II, Linear Algebra, Multiple Integrals to Vector Calculus. The book, which will prove to be an epitome of learning the concepts of Mathematics, is purely intended for the first-year undergraduate students of all branches of engineering. Bridging the gap between theory and practice, the book offers Clear and concise presentation Systematic discussion of the concepts Numerous worked-out examples make the students aware of problem-solving methodology Exercises at the end of sections contain several unsolved questions along with their answers

Text Book Of Multiple Integrals

Author: A.K. Sharma
Publisher: Discovery Publishing House
ISBN: 9788171419661
Size: 58.44 MB
Format: PDF
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This book Text Book of Multiple Integrals has been specially written to meet the requirement of B.Sc.,/B.A., students of various Indian Universities. The subject matter of this book has been discussed in such a simple way that the students find no difficulty to understand. Each chapter of this book contains complete theory and large number of solved example. Contents: Multiple Integrals (Double and Triple Integrals and Change of Order of Integration), Beta and Gamma Functions (Euler Integral, Dirichlet s Integrals, Liouville Extension of Dirichliet s Theorem), Convergence of Improper Integrals.

The Theory And Applications Of Harmonic Integrals

Author: W. V. D. Hodge
Publisher: CUP Archive
ISBN: 9780521358811
Size: 56.37 MB
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First published in 1941, this book, by one of the foremost geometers of his day, rapidly became a classic. In its original form the book constituted a section of Hodge's essay for which the Adam's prize of 1936 was awarded, but the author substantially revised and rewrote it. The book begins with an exposition of the geometry of manifolds and the properties of integrals on manifolds. The remainder of the book is then concerned with the application of the theory of harmonic integrals to other branches of mathematics, particularly to algebraic varieties and to continuous groups. Differential geometers and workers in allied subjects will welcome this reissue both for its lucid account of the subject and for its historical value. For this paperback edition, Professor Sir Michael Atiyah has written a foreword that sets Hodges work in its historical context and relates it briefly to developments.

Differential And Integral Calculus

Author: Richard Courant
Publisher: John Wiley & Sons
ISBN: 1118031482
Size: 77.65 MB
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Volume 2 of the classic advanced calculus text Richard Courant's Differential and Integral Calculus is considered an essential text for those working toward a career in physics or other applied math. Volume 2 covers the more advanced concepts of analytical geometry and vector analysis, including multivariable functions, multiple integrals, integration over regions, and much more, with extensive appendices featuring additional instruction and author annotations. The included supplement contains formula and theorem lists, examples, and answers to in-text problems for quick reference.