[PDF] Multiple Integrals eBook

Author : A.K. Sharma
Publisher : Discovery Publishing House
Page : 226 pages
File Size : 38,18 MB
Release : 2005
Category : Calculus, Integral
ISBN : 9788171419661

GET BOOK

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.

Author : I. H. Sloan
Publisher : Oxford University Press
Page : 256 pages
File Size : 12,61 MB
Release : 1994
Category : Mathematics
ISBN : 9780198534723

GET BOOK

This is the first book devoted to lattice methods, a recently developed way of calculating multiple integrals in many variables. Multiple integrals of this kind arise in fields such as quantum physics and chemistry, statistical mechanics, Bayesian statistics and many others. Lattice methods are an effective tool when the number of integrals are large. The book begins with a review of existing methods before presenting lattice theory in a thorough, self-contained manner, with numerous illustrations and examples. Group and number theory are included, but the treatment is such that no prior knowledge is needed. Not only the theory but the practical implementation of lattice methods is covered. An algorithm is presented alongside tables not available elsewhere, which together allow the practical evaluation of multiple integrals in many variables. Most importantly, the algorithm produces an error estimate in a very efficient manner. The book also provides a fast track for readers wanting to move rapidly to using lattice methods in practical calculations. It concludes with extensive numerical tests which compare lattice methods with other methods, such as the Monte Carlo.

Author : Walter Ledermann
Publisher : Springer Science & Business Media
Page : 115 pages
File Size : 45,61 MB
Release : 2012-12-06
Category : Science
ISBN : 9401160910

GET BOOK

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.

Author : Andrea Braides
Publisher : Oxford University Press
Page : 322 pages
File Size : 38,38 MB
Release : 1998
Category : Mathematics
ISBN : 9780198502463

GET BOOK

An introduction to the mathematical theory of the homogenization of multiple integrals, this book describes the overall properties of such functionals with various applications ranging from cellular elastic materials to Riemannian metrics.

Author : Charles Bradfield Morrey Jr.
Publisher : Springer Science & Business Media
Page : 519 pages
File Size : 13,91 MB
Release : 2009-11-03
Category : Mathematics
ISBN : 354069952X

GET BOOK

From the reviews: "...the book contains a wealth of material essential to the researcher concerned with multiple integral variational problems and with elliptic partial differential equations. The book not only reports the researches of the author but also the contributions of his contemporaries in the same and related fields. The book undoubtedly will become a standard reference for researchers in these areas. ...The book is addressed mainly to mature mathematical analysts. However, any student of analysis will be greatly rewarded by a careful study of this book." M. R. Hestenes in Journal of Optimization Theory and Applications "The work intertwines in masterly fashion results of classical analysis, topology, and the theory of manifolds and thus presents a comprehensive treatise of the theory of multiple integral variational problems." L. Schmetterer in Monatshefte für Mathematik "The book is very clearly exposed and contains the last modern theory in this domain. A comprehensive bibliography ends the book." M. Coroi-Nedeleu in Revue Roumaine de Mathématiques Pures et Appliquées

Author : Mariano Giaquinta
Publisher : Princeton University Press
Page : 296 pages
File Size : 25,4 MB
Release : 2016-03-02
Category : Mathematics
ISBN : 1400881625

GET BOOK

The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.

Author : Robert C. Wrede
Publisher : McGraw Hill Professional
Page : 460 pages
File Size : 48,3 MB
Release : 2002-02-20
Category : Mathematics
ISBN : 9780071375672

GET BOOK

Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, theres Schaums Outlines. More than 40 million students have trusted Schaums to help them succeed in the classroom and on exams. Schaums is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaums Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaums highlights all the important facts you need to know. Use Schaums to shorten your study time-and get your best test scores! Schaums Outlines-Problem Solved.