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Two-Dimensional Calculus

2014-01-05 Mathematics
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Release : 2014-01-05
Genre : Mathematics
Kind : eBook
Book Rating : 002/5 ( reviews)

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Book Synopsis Two-Dimensional Calculus by : Robert Osserman

Download or read book Two-Dimensional Calculus written by Robert Osserman. This book was released on 2014-01-05. Available in PDF, EPUB and Kindle. Book excerpt: Two-dimensional calculus is vital to the mastery of the broader field, and this text presents an extensive treatment. Advantages include the thorough integration of linear algebra and development of geometric intuition. 1986 edition.

Two and Three Dimensional Calculus

2018-07-23 Mathematics
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Release : 2018-07-23
Genre : Mathematics
Kind : eBook
Book Rating : 781/5 ( reviews)

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Book Synopsis Two and Three Dimensional Calculus by : Phil Dyke

Download or read book Two and Three Dimensional Calculus written by Phil Dyke. This book was released on 2018-07-23. Available in PDF, EPUB and Kindle. Book excerpt: Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications. Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes. It explains, clearly and concisely, partial differentiation, multiple integration, vectors and vector calculus, and provides end-of-chapter exercises along with their solutions to aid the readers’ understanding. Written in an approachable style and filled with numerous illustrative examples throughout, Two and Three Dimensional Calculus: with Applications in Science and Engineering assumes no prior knowledge of partial differentiation or vectors and explains difficult concepts with easy to follow examples. Rather than concentrating on mathematical structures, the book describes the development of techniques through their use in science and engineering so that students acquire skills that enable them to be used in a wide variety of practical situations. It also has enough rigor to enable those who wish to investigate the more mathematical generalizations found in most mathematics degrees to do so. Assumes no prior knowledge of partial differentiation, multiple integration or vectors Includes easy-to-follow examples throughout to help explain difficult concepts Features end-of-chapter exercises with solutions to exercises in the book. Two and Three Dimensional Calculus: with Applications in Science and Engineering is an ideal textbook for undergraduate students of engineering and applied sciences as well as those needing to use these methods for real problems in industry and commerce.

Modern Multidimensional Calculus

2019-05-15 Mathematics
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Release : 2019-05-15
Genre : Mathematics
Kind : eBook
Book Rating : 069/5 ( reviews)

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Book Synopsis Modern Multidimensional Calculus by : Marshall Evans Munroe

Download or read book Modern Multidimensional Calculus written by Marshall Evans Munroe. This book was released on 2019-05-15. Available in PDF, EPUB and Kindle. Book excerpt: A second-year calculus text, this volume is devoted primarily to topics in multidimensional analysis. Concepts and methods are emphasized, and rigorous proofs are sometimes replaced by relevant discussion and explanation. Because of the author's conviction that the differential provides a most elegant and useful tool, especially in a multidimensional setting, the notion of the differential is used extensively and matrix methods are stressed in the study of linear transformations. The first three chapters offer introductory material on functions and variables, differentials, and vectors in the plane. Succeeding chapters examine topics in linear algebra, partial derivatives, and applications as well as topics in vector differential calculus. The final chapters explore multiple integrals in addition to line and surface integrals. Exercises appear throughout the text, and answers are provided, making the book ideal for self-study.

Advanced Calculus (Revised Edition)

2014-02-26 Mathematics
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Release : 2014-02-26
Genre : Mathematics
Kind : eBook
Book Rating : 952/5 ( reviews)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis. This book was released on 2014-02-26. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Introduction to the Calculus of Variations

2012-04-26 Mathematics
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Release : 2012-04-26
Genre : Mathematics
Kind : eBook
Book Rating : 02X/5 ( reviews)

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Book Synopsis Introduction to the Calculus of Variations by : Hans Sagan

Download or read book Introduction to the Calculus of Variations written by Hans Sagan. This book was released on 2012-04-26. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.

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