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Publisher:
Published: 1974
Total Pages: 248
ISBN-13:
DOWNLOAD EBOOKAuthor: A.K. Sharma
Publisher: Discovery Publishing House
Published: 2005
Total Pages: 226
ISBN-13: 9788171419661
DOWNLOAD EBOOKThis 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: Andrea Braides
Publisher: Oxford University Press
Published: 1998
Total Pages: 322
ISBN-13: 9780198502463
DOWNLOAD EBOOKAn 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: I. H. Sloan
Publisher: Oxford University Press
Published: 1994
Total Pages: 256
ISBN-13: 9780198534723
DOWNLOAD EBOOKThis 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: Thomas H. Barr
Publisher:
Published: 2000
Total Pages: 586
ISBN-13:
DOWNLOAD EBOOKAuthor: Walter Ledermann
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 115
ISBN-13: 9401160910
DOWNLOAD EBOOKThe 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: P. Major
Publisher: Springer
Published: 2006-11-14
Total Pages: 134
ISBN-13: 3540385576
DOWNLOAD EBOOKAuthor: Mariano Giaquinta
Publisher: Princeton University Press
Published: 2016-03-02
Total Pages: 296
ISBN-13: 1400881625
DOWNLOAD EBOOKThe description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.
Author: Steven Tan
Publisher: Steven Tan
Published:
Total Pages: 454
ISBN-13:
DOWNLOAD EBOOKA Collection of Solved Problems Series These books teach by solving problems. Intended as companions to standard textbooks for calculus students, they help readers review and master what they've learned by showing them how to solve relevant problems. The first part of each section presents the definitions and theorems (without proofs) necessary for problem solving, and sometimes followed by comments or remarks. These definitions and theorems correspond to those given in most calculus textbooks, where all concepts and theorems are followed by explanations and proofs. The second part contains problems and complete solutions solved in such a simple way that the students find no difficulty to understand. They can be used as practicing study guides by students and as supplementary teaching sources by instructors. Since the problems have very detailed solutions, they are helpful for under-prepared students. Includes: • Integration in Two Variables • Double Integrals over Nonrectangular Regions • Double Integrals in Polar Coordinates • Applications of Double Integrals • Surface Area • Triple Integrals • Triple Integrals in Cylindrical and Spherical Coordinates • Change of Variables • Applications of Triple Integrals Features: • a selection of more than 400 problems • solutions are presented with attention to detail • graphically illustrated throughout Other titles in this series: Sequences and Infinite Series, A Collection of Solved Problems
Author: James J. Callahan
Publisher: Springer Science & Business Media
Published: 2010-09-09
Total Pages: 542
ISBN-13: 144197332X
DOWNLOAD EBOOKWith a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.
