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Field mathematics for electromagnetics, photonics, and materials science = a guide for the scientist and engineer /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Field mathematics for electromagnetics, photonics, and materials science/ Bernard Maxum.
Reminder of title:	a guide for the scientist and engineer /
Author:	Maxum, Bernard.
Published:	Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) :SPIE, : c2005.,
Description:	1 online resource (1 v. (various pagings) : ill.) :digital file. :
Notes:	"SPIE digital library."
Subject:	Vector analysis. -
Online resource:	http://dx.doi.org/10.1117/3.581869
ISBN:	9780819478689 (electronic)

Field mathematics for electromagnetics, photonics, and materials science = a guide for the scientist and engineer /
Maxum, Bernard.

Field mathematics for electromagnetics, photonics, and materials sciencea guide for the scientist and engineer /[electronic resource] :Bernard Maxum. - Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) :SPIE,c2005. - 1 online resource (1 v. (various pagings) : ill.) :digital file. - Tutorial texts in optical engineering ;v. TT64. - SPIE tutorial texts ;TT06..

"SPIE digital library."

Includes bibliographical references and index.

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 --

Restricted to subscribers or individual electronic text purchasers.

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.

System requirements: Adobe Acrobat Reader.

ISBN: 9780819478689 (electronic)

Standard No.: 10.1117/3.581869doiSubjects--Topical Terms:

633032
Vector analysis.

LC Class. No.: TA330 / .M38 2005e

Dewey Class. No.: 620/.001/51563

Field mathematics for electromagnetics, photonics, and materials science = a guide for the scientist and engineer /
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020 $z 0819455237 (softcover)
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024 7 $a 10.1117/3.581869 $2 doi
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035 $a (CaBNVSL)gtp00535569
035 $a 9780819478689
040 $a CaBNVSL $c CaBNVSL $d CaBNVSL
050 4 $a TA330 $b .M38 2005e
082 0 4 $a 620/.001/51563 $2 22
100 1 $a Maxum, Bernard. $3 877269
245 1 0 $a Field mathematics for electromagnetics, photonics, and materials science $h [electronic resource] : $b a guide for the scientist and engineer / $c Bernard Maxum.
260 $a Bellingham, Wash. (1000 20th St. Bellingham WA 98225-6705 USA) : $b SPIE, $c c2005.
300 $a 1 online resource (1 v. (various pagings) : ill.) : $b digital file.
490 1 $a Tutorial texts in optical engineering ; $v v. TT64
500 $a "SPIE digital library."
504 $a Includes bibliographical references and index.
505 0 $a 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 --
505 0 $a 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 --
505 0 $a 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 --
505 0 $a 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 --
505 0 $a 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 --
505 0 $a 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 --
505 0 $a 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 --
505 0 $a Appendix D Coordinate Expansions of Vector Differential Operators -- D.1 Cartesian Coordinate Expansions -- D.2 Cylindrical Coordinate Expansions -- Glossary -- Index.
506 $a Restricted to subscribers or individual electronic text purchasers.
520 $a 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.
530 $a Also available in print version.
538 $a System requirements: Adobe Acrobat Reader.
538 $a Mode of access: World Wide Web.
588 $a Title from PDF t.p. (viewed on August 22, 2009).
650 0 $a Vector analysis. $3 633032
650 0 $a Engineering mathematics. $3 562757
710 2 $a Society of Photo-optical Instrumentation Engineers. $3 700253
830 0 $a SPIE tutorial texts ; $v TT06. $3 877241
856 4 0 $u http://dx.doi.org/10.1117/3.581869