Differential Equations and Vector Calculus

Differential Equations and Vector Calculus PDF Author: Dr T.K.V. Iyengar & Dr B. Krishna Gandhi & S. Ranganadham & Dr M.V.S.S.N. Prasad
Publisher: S. Chand Publishing
ISBN: 9352838262
Category : Science
Languages : en
Pages : 512

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Book Description
In this book, how to solve such type equations has been elaborately described. In this book, vector differential calculus is considered, which extends the basic concepts of (ordinary) differential calculus, such as, continuity and differentiability to vector functions in a simple and natural way. This book comprises previous question papers problems at appropriate places and also previous GATE questions at the end of each chapter for the

Differential Equations and Vector Calculus

Differential Equations and Vector Calculus PDF Author: Dr T.K.V. Iyengar & Dr B. Krishna Gandhi & S. Ranganadham & Dr M.V.S.S.N. Prasad
Publisher: S. Chand Publishing
ISBN: 9352838262
Category : Science
Languages : en
Pages : 512

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Book Description
In this book, how to solve such type equations has been elaborately described. In this book, vector differential calculus is considered, which extends the basic concepts of (ordinary) differential calculus, such as, continuity and differentiability to vector functions in a simple and natural way. This book comprises previous question papers problems at appropriate places and also previous GATE questions at the end of each chapter for the

Vector Calculus and Differential Equations

Vector Calculus and Differential Equations PDF Author: Albert G. Fadell
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 558

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Book Description


Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach

Student Solution Manual to Accompany the 4th Edition of Vector Calculus, Linear Algebra, and Differential Forms, a Unified Approach PDF Author: John Hamal Hubbard
Publisher:
ISBN: 9780971576674
Category : Algebras, Linear
Languages : en
Pages : 284

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Book Description


Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory PDF Author: D. E. Rutherford
Publisher: Courier Corporation
ISBN: 048615453X
Category : Mathematics
Languages : en
Pages : 148

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Book Description
This text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. 1957 edition.

Differential Forms

Differential Forms PDF Author: Steven H. Weintraub
Publisher: Academic Press
ISBN: 9780127425108
Category : Business & Economics
Languages : en
Pages : 50

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Book Description
This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques. Geared towards students taking courses in multivariable calculus, this innovative book aims to make the subject more readily understandable. Differential forms unify and simplify the subject of multivariable calculus, and students who learn the subject as it is presented in this book should come away with a better conceptual understanding of it than those who learn using conventional methods. * Treats vector calculus using differential forms * Presents a very concrete introduction to differential forms * Develops Stokess theorem in an easily understandable way * Gives well-supported, carefully stated, and thoroughly explained definitions and theorems. * Provides glimpses of further topics to entice the interested student

Multivariable Calculus, Linear Algebra, and Differential Equations

Multivariable Calculus, Linear Algebra, and Differential Equations PDF Author: Stanley I. Grossman
Publisher: Academic Press
ISBN: 1483218031
Category : Mathematics
Languages : en
Pages : 993

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Book Description
Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.

A History of Vector Analysis

A History of Vector Analysis PDF Author: Michael J. Crowe
Publisher: Courier Corporation
ISBN: 0486679101
Category : Mathematics
Languages : en
Pages : 306

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Book Description
Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

Elementary Differential Equations

Elementary Differential Equations PDF Author: William E. Boyce
Publisher: John Wiley & Sons
ISBN: 1119443636
Category : Mathematics
Languages : en
Pages : 512

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Book Description
With Wiley's Enhanced E-Text, you get all the benefits of a downloadable, reflowable eBook with added resources to make your study time more effective, including: Embedded & searchable equations, figures & tables Math XML Index with linked pages numbers for easy reference Redrawn full color figures to allow for easier identification Elementary Differential Equations, 11th Edition is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two ] or three ] semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.

Vector Calculus and Linear Algebra

Vector Calculus and Linear Algebra PDF Author: Oliver Knill
Publisher: World Scientific Publishing Company
ISBN: 9789811218118
Category : Mathematics
Languages : en
Pages : 0

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Book Description
This book covers vector calculus up to the integral theorems; linear algebra up to the spectral theorem; and harmonic analysis until the Dirichlet theorem on convergence of Fourier series with applications to partial differential equations. It also contains a unique introduction to proofs, while providing a solid foundation in understanding the proof techniques better.The book incorporates fundamentals from advanced calculus and linear algebra but it is still accessible to a rather general student audience.Students will find materials that are usually left out like differential forms in calculus, the Taylor theorem in arbitrary dimensions or the Jordan normal form in linear algebra, the convergence proof of Fourier series, and how to do calculus on discrete networks.The contents of this book were used to teach in a two-semester course at Harvard University during fall 2018 and spring 2019. For the last 30 years, Oliver Knill has taught calculus, linear algebra, probability theory and differential equations starting at ETH Zürich, moving onward to Caltech, and the University of Arizona, and ever since 2000, at Harvard.

Mathematical Physics with Partial Differential Equations

Mathematical Physics with Partial Differential Equations PDF Author: James Kirkwood
Publisher: Academic Press
ISBN: 0123869110
Category : Mathematics
Languages : en
Pages : 431

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Book Description
Suitable for advanced undergraduate and beginning graduate students taking a course on mathematical physics, this title presents some of the most important topics and methods of mathematical physics. It contains mathematical derivations and solutions - reinforcing the material through repetition of both the equations and the techniques.