div grad curl and all that an informal text on vector calculus

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Div Grad Curl And All That

Author : Harry Moritz Schey
ISBN : 0393925161
Genre : Mathematics
File Size : 60. 16 MB
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This new fourth edition of the acclaimed and bestselling Div, Grad, Curl, and All That has been carefully revised and now includes updated notations and seven new example exercises.

Div Grad Curl And All That

Author : Harry Moritz Schey
ISBN : 0393969975
Genre : Science
File Size : 58. 6 MB
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Div Grad Curl And All That

Author : Harry Moritz Schey
ISBN : 0393962512
Genre : Vector analysis
File Size : 40. 67 MB
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Since its publication in 1973, a generation of science and engineering students have learned vector calculus from Dr. Schey's Div, Grad, Curl, and All That. This book was written to help science and engineering students gain a thorough understanding of those ubiquitous vector operators: the divergence, gradient, curl, and Laplacian. The Second Edition preserves the text's clear and informal style, moderately paced exposition, and avoidance of mathematical rigor which have made it a successful supplement in a variety of courses, including beginning and intermediate electromagnetic theory, fluid dynamics, and calculus.

Vector Calculus

Author : Jerrold Eldon Marsden
ISBN : 0716749920
Genre : Mathematics
File Size : 33. 14 MB
Format : PDF
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Now in its fifth edition, Vector Calculus helps students gain an intuitive and solid understanding of this important subject. The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.

Vector Calculus

Author : Paul C. Matthews
ISBN : 9781447105978
Genre : Mathematics
File Size : 72. 7 MB
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Vector calculus is the fundamental language of mathematical physics. It pro vides a way to describe physical quantities in three-dimensional space and the way in which these quantities vary. Many topics in the physical sciences can be analysed mathematically using the techniques of vector calculus. These top ics include fluid dynamics, solid mechanics and electromagnetism, all of which involve a description of vector and scalar quantities in three dimensions. This book assumes no previous knowledge of vectors. However, it is assumed that the reader has a knowledge of basic calculus, including differentiation, integration and partial differentiation. Some knowledge of linear algebra is also required, particularly the concepts of matrices and determinants. The book is designed to be self-contained, so that it is suitable for a pro gramme of individual study. Each of the eight chapters introduces a new topic, and to facilitate understanding of the material, frequent reference is made to physical applications. The physical nature of the subject is clarified with over sixty diagrams, which provide an important aid to the comprehension of the new concepts. Following the introduction of each new topic, worked examples are provided. It is essential that these are studied carefully, so that a full un derstanding is developed before moving ahead. Like much of mathematics, each section of the book is built on the foundations laid in the earlier sections and chapters.

Geometrical Vectors

Author : Gabriel Weinreich
ISBN : 0226890481
Genre : Mathematics
File Size : 76. 88 MB
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Every advanced undergraduate and graduate student of physics must master the concepts of vectors and vector analysis. Yet most books cover this topic by merely repeating the introductory-level treatment based on a limited algebraic or analytic view of the subject. Geometrical Vectors introduces a more sophisticated approach, which not only brings together many loose ends of the traditional treatment, but also leads directly into the practical use of vectors in general curvilinear coordinates by carefully separating those relationships which are topologically invariant from those which are not. Based on the essentially geometric nature of the subject, this approach builds consistently on students' prior knowledge and geometrical intuition. Written in an informal and personal style, Geometrical Vectors provides a handy guide for any student of vector analysis. Clear, carefully constructed line drawings illustrate key points in the text, and problem sets as well as physical examples are provided.

Multivariable And Vector Calculus

Author : David A. Santos
ISBN : 9781942270256
Genre : Mathematics
File Size : 50. 60 MB
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This book is designed primarily for undergraduates in mathematics, engineering, and the physical sciences. Rather than concentrating on technical skills, it focuses on a deeper understanding of the subject by providing many unusual and challenging examples. The basic topics of vector geometry, differentiation and integration in several variables are explored. It also provides numerous computer illustrations and tutorials using MATLAB® and Maple®, that bridge the gap between analysis and computation. Features: •Includes numerous computer illustrations and tutorials using MATLAB® and Maple® •Covers the major topics of vector geometry, differentiation, and integration in several variables •Instructors’ ancillaries available upon adoption

Convex Analysis In General Vector Spaces

Author : C. Zalinescu
ISBN : 9789812380678
Genre : Science
File Size : 60. 35 MB
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The primary aim of this book is to present the conjugate and sub/differential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions.

Mathematics For The Physical Sciences

Author : James B. Seaborn
ISBN : 9781468492798
Genre : Science
File Size : 61. 66 MB
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The book provides a bridge from courses in general physics to the intermediate-level courses in classical mechanics, electrodynamics and quantum mechanics. The author bases the mathematical discussions on specific physical problems to provide a basis for developing mathematical intuition.

A Student S Guide To Vectors And Tensors

Author : Daniel A. Fleisch
ISBN : 9781139503945
Genre : Science
File Size : 31. 55 MB
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Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.

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