Multiple Integrals, A Collection of Solved Problems
Multiple Integrals, A Collection of Solved Problems

Author: Steven Tan

Publisher: Steven Tan

Published:

Total Pages: 454

ISBN-13:

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A 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

Multiple Integrals in the Calculus of Variations
Multiple Integrals in the Calculus of Variations

Author: Charles Bradfield Morrey Jr.

Publisher: Springer Science & Business Media

Published: 2009-11-03

Total Pages: 519

ISBN-13: 354069952X

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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

Schaums Outline of Advanced Calculus, Second Edition
Schaums Outline of Advanced Calculus, Second Edition

Author: Robert C. Wrede

Publisher: McGraw Hill Professional

Published: 2002-02-20

Total Pages: 460

ISBN-13: 9780071375672

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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.

Multiple Integrals
Multiple Integrals

Author: Walter Ledermann

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 115

ISBN-13: 9401160910

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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.

Text Book Of Multiple Integrals
Text Book Of Multiple Integrals

Author: A.K. Sharma

Publisher: Discovery Publishing House

Published: 2005

Total Pages: 226

ISBN-13: 9788171419661

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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.

Special Techniques For Solving Integrals: Examples And Problems
Special Techniques For Solving Integrals: Examples And Problems

Author: Khristo N Boyadzhiev

Publisher: World Scientific

Published: 2021-12-10

Total Pages: 401

ISBN-13: 9811235775

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This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and graduate students whose studies include mathematical analysis or mathematical physics will strongly benefit from this material. Mathematicians involved in research and teaching in areas related to calculus, advanced calculus and real analysis will find it invaluable.The volume contains numerous solved examples and problems for the reader. These examples can be used in classwork or for home assignments, as well as a supplement to student projects and student research.

(Almost) Impossible Integrals, Sums, and Series
(Almost) Impossible Integrals, Sums, and Series

Author: Cornel Ioan Vălean

Publisher: Springer

Published: 2019-05-10

Total Pages: 572

ISBN-13: 3030024628

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This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.