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The Resource Field mathematics for electromagnetics, photonics, and materials science : a guide for the scientist and engineer, Bernard Maxum, (electronic book)

Field mathematics for electromagnetics, photonics, and materials science : a guide for the scientist and engineer, Bernard Maxum, (electronic book)

Label
Field mathematics for electromagnetics, photonics, and materials science : a guide for the scientist and engineer
Title
Field mathematics for electromagnetics, photonics, and materials science
Title remainder
a guide for the scientist and engineer
Statement of responsibility
Bernard Maxum
Creator
Contributor
Subject
Language
eng
Summary
As electromagnetics, photonics, and materials science evolve, it is increasingly important for students and practitioners in the physical sciences and engineering to understand vector calculus and tensor analysis. This book provides a review of vector calculus. This review includes necessary excursions into tensor analysis intended as the reader's first exposure to tensors, making aspects of tensors understandable to advanced undergraduate students. This book will also prepare the reader for more advanced studies in vector calculus and tensor analysis
Member of
Additional physical form
Also available in print version.
Cataloging source
CaBNvSL
http://library.link/vocab/creatorName
Maxum, Bernard.
Dewey number
620/.001/51563
Illustrations
illustrations
Index
index present
LC call number
TA330
LC item number
.M38 2005e
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Society of Photo-optical Instrumentation Engineers
Series statement
Tutorial texts in optical engineering
Series volume
TT64
http://library.link/vocab/subjectName
  • Vector analysis
  • Engineering mathematics
Target audience
  • adult
  • specialized
Label
Field mathematics for electromagnetics, photonics, and materials science : a guide for the scientist and engineer, Bernard Maxum, (electronic book)
Instantiates
Publication
Note
  • "SPIE digital library."
  • Title from PDF t.p. (viewed on August 22, 2009)
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
  • List of Figures -- List of Examples and Applications -- Acknowledgments -- Preface-- Chapter 1 Introduction -- 1.1 Notation -- 1.2 Spatial Differentials -- 1.3 Partial and Total Derivatives -- References --
  • Chapter 2 Vector Algebra Review -- 2.1 Variant and Invariant Scalars -- 2.2 Scalar Fields -- 2.3 Vector Fields -- 2.4 Arithmetic Vector Operations -- 2.5 Scalars, Vectors, Dyadics, and Tensors as Phasors -- 2.6 Vector Field Direction Lines -- 2.7 Scalar Field Equivalue Surfaces -- References --
  • Chapter 3 Elementary Tensor Analysis -- The tensor/dyadic issue -- 3.1 Directional Compoundedness, Rank, and Order of Tensors -- The rank/order issue -- 3.2 Tensor Components -- 3.3 Dyadics and the Unit Dyad -- 3.4 Dyadic Dot Products -- 3.5 The Four-Rank Elastic Modulus Tensor -- 3.6 The Use of Tensors in Nonlinear Optics -- 3.7 Term-by-Term Rank Consistency and the Rules for Determining the Rank after Performing Inner-Product Operations with Tensors -- 3.8 Summary of Tensors -- References --
  • Chapter 4 Vector Calculus Differential Forms With Excursions into Tensor Calculus -- 4.1 Introduction to Differential Operators and some Additional Tensor Rules -- 4.2 Scalar Differential Operators, Differential Equations, and Eigenvalues -- 4.3 The Gradient Differential Operator -- 4.4 The Divergence Differential Operator -- 4.5 The Curl Differential Operator -- 4.6 Tensorial Resultants of First-Order Vector Differential Operators -- 4.7 Second-Order Vector Differential Operators Differential Operators of Differential Operators -- References --
  • Chapter 5 Vector Calculus Integral Forms -- 5.1 Line Integrals of Vector (and Other Tensor) Fields -- 5.2 Surface Integrals of Vector (and Other Tensor) Fields -- 5.3 Gauss' (Divergence) Theorem -- 5.4 Stokes' (Curl) Theorem -- 5.5 Green's Mathematics -- References --
  • Appendix A Vector Arithmetics and Applications -- Appendix B Vector Calculus in Orthogonal Coordinate Systems -- B.1 Cartesian Coordinate Geometry for the Divergence -- B.2 Cartesian Coordinate Geometry for the Curl -- B.3 Cylindrical Coordinate Geometry for the Divergence -- B.4 Summary of the Geometries for Divergence, Curl, and Gradient -- B.5 Orthogonal Coordinate System Parameters and Surface Graphics -- References --
  • Appendix C Intermediate Tensor Calculus in Support of Chapters 3 and 4 -- C.1 Explicit Standard Notation for General Rank Tensors -- C.2 Properties of First- and Second-Order Vector Differential Operators on Tensors -- C.3 Generalization of the Divergence Operator of Eq. (4.7-7) -- C.4 The Dual Nature of the Nabla Operator -- Reference --
  • Appendix D Coordinate Expansions of Vector Differential Operators -- D.1 Cartesian Coordinate Expansions -- D.2 Cylindrical Coordinate Expansions -- Glossary -- Index
Dimensions
unknown
Extent
1 online resource (1 v. (various pagings) : ill.)
File format
multiple file formats
Form of item
electronic
Isbn
9780819455239
Other physical details
digital file.
Reformatting quality
access
Reproduction note
Electronic resource.
Specific material designation
remote
System details
System requirements: Adobe Acrobat Reader
Label
Field mathematics for electromagnetics, photonics, and materials science : a guide for the scientist and engineer, Bernard Maxum, (electronic book)
Publication
Note
  • "SPIE digital library."
  • Title from PDF t.p. (viewed on August 22, 2009)
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
  • List of Figures -- List of Examples and Applications -- Acknowledgments -- Preface-- Chapter 1 Introduction -- 1.1 Notation -- 1.2 Spatial Differentials -- 1.3 Partial and Total Derivatives -- References --
  • Chapter 2 Vector Algebra Review -- 2.1 Variant and Invariant Scalars -- 2.2 Scalar Fields -- 2.3 Vector Fields -- 2.4 Arithmetic Vector Operations -- 2.5 Scalars, Vectors, Dyadics, and Tensors as Phasors -- 2.6 Vector Field Direction Lines -- 2.7 Scalar Field Equivalue Surfaces -- References --
  • Chapter 3 Elementary Tensor Analysis -- The tensor/dyadic issue -- 3.1 Directional Compoundedness, Rank, and Order of Tensors -- The rank/order issue -- 3.2 Tensor Components -- 3.3 Dyadics and the Unit Dyad -- 3.4 Dyadic Dot Products -- 3.5 The Four-Rank Elastic Modulus Tensor -- 3.6 The Use of Tensors in Nonlinear Optics -- 3.7 Term-by-Term Rank Consistency and the Rules for Determining the Rank after Performing Inner-Product Operations with Tensors -- 3.8 Summary of Tensors -- References --
  • Chapter 4 Vector Calculus Differential Forms With Excursions into Tensor Calculus -- 4.1 Introduction to Differential Operators and some Additional Tensor Rules -- 4.2 Scalar Differential Operators, Differential Equations, and Eigenvalues -- 4.3 The Gradient Differential Operator -- 4.4 The Divergence Differential Operator -- 4.5 The Curl Differential Operator -- 4.6 Tensorial Resultants of First-Order Vector Differential Operators -- 4.7 Second-Order Vector Differential Operators Differential Operators of Differential Operators -- References --
  • Chapter 5 Vector Calculus Integral Forms -- 5.1 Line Integrals of Vector (and Other Tensor) Fields -- 5.2 Surface Integrals of Vector (and Other Tensor) Fields -- 5.3 Gauss' (Divergence) Theorem -- 5.4 Stokes' (Curl) Theorem -- 5.5 Green's Mathematics -- References --
  • Appendix A Vector Arithmetics and Applications -- Appendix B Vector Calculus in Orthogonal Coordinate Systems -- B.1 Cartesian Coordinate Geometry for the Divergence -- B.2 Cartesian Coordinate Geometry for the Curl -- B.3 Cylindrical Coordinate Geometry for the Divergence -- B.4 Summary of the Geometries for Divergence, Curl, and Gradient -- B.5 Orthogonal Coordinate System Parameters and Surface Graphics -- References --
  • Appendix C Intermediate Tensor Calculus in Support of Chapters 3 and 4 -- C.1 Explicit Standard Notation for General Rank Tensors -- C.2 Properties of First- and Second-Order Vector Differential Operators on Tensors -- C.3 Generalization of the Divergence Operator of Eq. (4.7-7) -- C.4 The Dual Nature of the Nabla Operator -- Reference --
  • Appendix D Coordinate Expansions of Vector Differential Operators -- D.1 Cartesian Coordinate Expansions -- D.2 Cylindrical Coordinate Expansions -- Glossary -- Index
Dimensions
unknown
Extent
1 online resource (1 v. (various pagings) : ill.)
File format
multiple file formats
Form of item
electronic
Isbn
9780819455239
Other physical details
digital file.
Reformatting quality
access
Reproduction note
Electronic resource.
Specific material designation
remote
System details
System requirements: Adobe Acrobat Reader

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