skip to content
Essentials of mathematical methods in science and engineering Preview this item
ClosePreview this item
Checking...

Essentials of mathematical methods in science and engineering

Author: Ş Selçuk Bayin
Publisher: Hoboken, N.J. : Wiley, ©2008.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book addresses the need for mathematical techniques to be introduced early on in the undergraduate program. Topics that are unique to the undergraduate curriculum, i.e. series, complex analysis, variational calculus, and integral transforms, do overl.
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Bayin, Ş. Selçuk, 1951-
Essentials of mathematical methods in science and engineering.
Hoboken, N.J. : Wiley, ©2008
(DLC) 2008004313
(OCoLC)191758455
Print version:
Bayin, Ş. Selçuk, 1951-
Essentials of mathematical methods in science and engineering.
Hoboken, N.J. : Wiley, ©2008
(DLC) 2008004313
(OCoLC)191758455
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ş Selçuk Bayin
ISBN: 9780470378021 0470378026 9780470378045 0470378042 1281766739 9781281766731
OCLC Number: 277086703
Description: 1 online resource (xxvi, 802 pages) : illustrations
Contents: 1. Functional Analysis --
1.1 Concept of Function --
1.2 Continuity and Limits --
1.3 Partial Differentiation --
1.4 Total Differential --
1.5 Taylor Series --
1.6 Maxima and Minima of Functions --
1.7 Extrema of Functions with Conditions --
1.8 Derivatives and Differentials of Composite Functions --
1.9 Implicit Function Theorem --
1.10 Inverse Functions --
1.11 Integral Calculus and the Definite Integral --
1.12 Riemann Integral --
1.13 Improper Integrals --
1.14 Cauchy Principal Value Integrals --
1.15 Integrals Involving a Parameter --
1.16 Limits of Integration Depending on a Parameter --
1.17 Double Integrals --
1.18 Properties of Double Integrals --
1.19 Triple and Multiple Integrals --
Problems --
2. Vector Analysis --
2.1 Vector Algebra: Geometric Method --
2.1.1 Multiplication of Vectors --
2.2 Vector Algebra: Coordinate Representation --
2.3 Lines and Planes --
2.4 Vector Differential Calculus --
2.4.1 Scalar Fields and Vector Fields --
2.4.2 Vector Differentiation --
2.5 Gradient Operator --
2.5.1 Meaning of the Gradient --
2.5.2 Directional Derivative --
2.6 Divergence and Curl Operators --
2.6.1 Meaning of Divergence and the Divergence Theorem --
2.7 Vector Integral Calculus in Two Dimensions --
2.7.1 Arc Length and Line Integrals --
2.7.2 Surface Area and Surface Integrals --
2.7.3 An Alternate Way to Write Line Integrals --
2.7.4 Green's Theorem --
2.7.5 Interpretations of Green's Theorem --
2.7.6 Extension to Multiply Connected Domains --
2.8 Curl Operator and Stokes's Theorem --
2.8.1 On the Plane --
2.8.2 In Space --
2.8.3 Geometric Interpretation of Curl --
2.9 Mixed Operations with the Del Operator --
2.10 Potential Theory --
2.10.1 Gravitational Field of a Spherically Symmetric Star --
2.10.2 Work Done by Gravitational Force --
2.10.3 Path Independence and Exact Differentials --
2.10.4 Gravity and Conservative Forces --
2.10.5 Gravitational Potential --
2.10.6 Gravitational Potential Energy of a System --
2.10.7 Helmholtz Theorem --
2.10.8 Applications of the Helmholtz Theorem --
2.10.9 Examples from Physics --
Problems --
3. Generalized Coordinates and Tensors --
3.1 Transformations Between Cartesian Coordinates --
3.1.1 Basis Vectors and Direction Cosines --
3.1.2 Transformation Matrix and the Orthogonality Relation --
3.1.3 Inverse Transformation Matrix --
3.2 Cartesian Tensors --
3.2.1 Algebraic Properties of Tensors --
3.2.2 Kronecker Delta and the Permutation Symbol --
3.3 Generalized Coordinates --
3.3.1 Coordinate Curves and Surfaces --
3.3.2 Why Upper and Lower Indices --
3.4 General Tensors --
3.4.1 Einstein Summation Convention --
3.4.2 Line Element --
3.4.3 Metric Tensor --
3.4.4 How to Raise and Lower Indices --
3.4.5 Metric Tensor and the Basis Vectors --
3.4.6 Displacement Vector --
3.4.7 Transformation of Scalar Functions and Line Integrals --
3.4.8 Area Element in Generalized Coordinates --
3.4.9 Area of a Surface --
3.4.10 Volume Element in Generalized Coordinates --
3.4.11 Invariance and Covariance --
3.5 Differential Operators in Generalized Coordinates --
3.5.1 Gradient --
3.5.2 Divergence --
3.5.3 Curl --
3.5.4 Laplacian.
Responsibility: Ş. Selçuk Bayın.
More information:

Abstract:

A complete introduction to the multidisciplinary applications of mathematical methods In order to work with varying levels of engineering and physics research, it is important to have a firm  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/277086703> # Essentials of mathematical methods in science and engineering
    a schema:Book, schema:MediaObject, schema:CreativeWork ;
    library:oclcnum "277086703" ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/119735889#Place/hoboken_n_j> ; # Hoboken, N.J.
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nju> ;
    schema:about <http://dewey.info/class/501.51/e22/> ;
    schema:about <http://id.worldcat.org/fast/910601> ; # Engineering mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/119735889#Topic/science_philosophy_&_social_aspects> ; # SCIENCE--Philosophy & Social Aspects
    schema:about <http://experiment.worldcat.org/entity/work/data/119735889#Topic/science> ; # Science
    schema:about <http://id.loc.gov/authorities/subjects/sh85118577> ; # Science--Methodology
    schema:about <http://id.loc.gov/authorities/subjects/sh2010112231> ; # Science--Mathematics
    schema:about <http://id.worldcat.org/fast/1108313> ; # Science--Methodology
    schema:about <http://id.worldcat.org/fast/1108310> ; # Science--Mathematics
    schema:bookFormat schema:EBook ;
    schema:copyrightYear "2008" ;
    schema:creator <http://viaf.org/viaf/26486086> ; # Ş. Selçuk Bayin
    schema:datePublished "2008" ;
    schema:description "This book addresses the need for mathematical techniques to be introduced early on in the undergraduate program. Topics that are unique to the undergraduate curriculum, i.e. series, complex analysis, variational calculus, and integral transforms, do overl."@en ;
    schema:description "1. Functional Analysis -- 1.1 Concept of Function -- 1.2 Continuity and Limits -- 1.3 Partial Differentiation -- 1.4 Total Differential -- 1.5 Taylor Series -- 1.6 Maxima and Minima of Functions -- 1.7 Extrema of Functions with Conditions -- 1.8 Derivatives and Differentials of Composite Functions -- 1.9 Implicit Function Theorem -- 1.10 Inverse Functions -- 1.11 Integral Calculus and the Definite Integral -- 1.12 Riemann Integral -- 1.13 Improper Integrals -- 1.14 Cauchy Principal Value Integrals -- 1.15 Integrals Involving a Parameter -- 1.16 Limits of Integration Depending on a Parameter -- 1.17 Double Integrals -- 1.18 Properties of Double Integrals -- 1.19 Triple and Multiple Integrals -- Problems -- 2. Vector Analysis -- 2.1 Vector Algebra: Geometric Method -- 2.1.1 Multiplication of Vectors -- 2.2 Vector Algebra: Coordinate Representation -- 2.3 Lines and Planes -- 2.4 Vector Differential Calculus -- 2.4.1 Scalar Fields and Vector Fields -- 2.4.2 Vector Differentiation -- 2.5 Gradient Operator -- 2.5.1 Meaning of the Gradient -- 2.5.2 Directional Derivative -- 2.6 Divergence and Curl Operators -- 2.6.1 Meaning of Divergence and the Divergence Theorem -- 2.7 Vector Integral Calculus in Two Dimensions -- 2.7.1 Arc Length and Line Integrals -- 2.7.2 Surface Area and Surface Integrals -- 2.7.3 An Alternate Way to Write Line Integrals -- 2.7.4 Green's Theorem -- 2.7.5 Interpretations of Green's Theorem -- 2.7.6 Extension to Multiply Connected Domains -- 2.8 Curl Operator and Stokes's Theorem -- 2.8.1 On the Plane -- 2.8.2 In Space -- 2.8.3 Geometric Interpretation of Curl -- 2.9 Mixed Operations with the Del Operator -- 2.10 Potential Theory -- 2.10.1 Gravitational Field of a Spherically Symmetric Star -- 2.10.2 Work Done by Gravitational Force -- 2.10.3 Path Independence and Exact Differentials -- 2.10.4 Gravity and Conservative Forces -- 2.10.5 Gravitational Potential -- 2.10.6 Gravitational Potential Energy of a System -- 2.10.7 Helmholtz Theorem -- 2.10.8 Applications of the Helmholtz Theorem -- 2.10.9 Examples from Physics -- Problems -- 3. Generalized Coordinates and Tensors -- 3.1 Transformations Between Cartesian Coordinates -- 3.1.1 Basis Vectors and Direction Cosines -- 3.1.2 Transformation Matrix and the Orthogonality Relation -- 3.1.3 Inverse Transformation Matrix -- 3.2 Cartesian Tensors -- 3.2.1 Algebraic Properties of Tensors -- 3.2.2 Kronecker Delta and the Permutation Symbol -- 3.3 Generalized Coordinates -- 3.3.1 Coordinate Curves and Surfaces -- 3.3.2 Why Upper and Lower Indices -- 3.4 General Tensors -- 3.4.1 Einstein Summation Convention -- 3.4.2 Line Element -- 3.4.3 Metric Tensor -- 3.4.4 How to Raise and Lower Indices -- 3.4.5 Metric Tensor and the Basis Vectors -- 3.4.6 Displacement Vector -- 3.4.7 Transformation of Scalar Functions and Line Integrals -- 3.4.8 Area Element in Generalized Coordinates -- 3.4.9 Area of a Surface -- 3.4.10 Volume Element in Generalized Coordinates -- 3.4.11 Invariance and Covariance -- 3.5 Differential Operators in Generalized Coordinates -- 3.5.1 Gradient -- 3.5.2 Divergence -- 3.5.3 Curl -- 3.5.4 Laplacian."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/119735889> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/191758455> ;
    schema:name "Essentials of mathematical methods in science and engineering"@en ;
    schema:productID "277086703" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/277086703#PublicationEvent/hoboken_n_j_wiley_2008> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/119735889#Agent/wiley> ; # Wiley
    schema:url <http://www.myilibrary.com?id=176673&ref=toc> ;
    schema:url <http://www.123library.org/book_details/?id=21706> ;
    schema:url <http://www.dawsonera.com/depp/reader/protected/external/AbstractView/S9780470378021> ;
    schema:url <http://catalogimages.wiley.com/images/db/jimages/9780470343791.jpg> ;
    schema:url <http://www.myilibrary.com?id=176673> ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=244365> ;
    schema:url <http://site.ebrary.com/id/10345875> ;
    schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=362060> ;
    schema:url <http://dx.doi.org/10.1002/9780470378045> ;
    schema:url <http://ebookcentral.proquest.com/lib/ucm/detail.action?docID=362060> ;
    schema:url <http://iclibezp1.cc.ic.ac.uk/login?url=http://onlinelibrary.wiley.com/book/10.1002/9780470378045> ;
    schema:url <http://onlinelibrary.wiley.com/book/10.1002/9780470378045> ;
    schema:workExample <http://dx.doi.org/10.1002/9780470378045> ;
    schema:workExample <http://worldcat.org/isbn/9781281766731> ;
    schema:workExample <http://worldcat.org/isbn/9780470378045> ;
    schema:workExample <http://worldcat.org/isbn/9780470378021> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/277086703> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/119735889#Place/hoboken_n_j> # Hoboken, N.J.
    a schema:Place ;
    schema:name "Hoboken, N.J." ;
    .

<http://experiment.worldcat.org/entity/work/data/119735889#Topic/science_philosophy_&_social_aspects> # SCIENCE--Philosophy & Social Aspects
    a schema:Intangible ;
    schema:name "SCIENCE--Philosophy & Social Aspects"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh2010112231> # Science--Mathematics
    a schema:Intangible ;
    schema:name "Science--Mathematics"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85118577> # Science--Methodology
    a schema:Intangible ;
    schema:name "Science--Methodology"@en ;
    .

<http://id.worldcat.org/fast/1108310> # Science--Mathematics
    a schema:Intangible ;
    schema:name "Science--Mathematics"@en ;
    .

<http://id.worldcat.org/fast/1108313> # Science--Methodology
    a schema:Intangible ;
    schema:name "Science--Methodology"@en ;
    .

<http://id.worldcat.org/fast/910601> # Engineering mathematics
    a schema:Intangible ;
    schema:name "Engineering mathematics"@en ;
    .

<http://viaf.org/viaf/26486086> # Ş. Selçuk Bayin
    a schema:Person ;
    schema:birthDate "1951" ;
    schema:familyName "Bayin" ;
    schema:givenName "Ş. Selçuk" ;
    schema:name "Ş. Selçuk Bayin" ;
    .

<http://worldcat.org/isbn/9780470378021>
    a schema:ProductModel ;
    schema:isbn "0470378026" ;
    schema:isbn "9780470378021" ;
    .

<http://worldcat.org/isbn/9780470378045>
    a schema:ProductModel ;
    schema:isbn "0470378042" ;
    schema:isbn "9780470378045" ;
    .

<http://worldcat.org/isbn/9781281766731>
    a schema:ProductModel ;
    schema:isbn "1281766739" ;
    schema:isbn "9781281766731" ;
    .

<http://www.worldcat.org/oclc/191758455>
    a schema:CreativeWork ;
    rdfs:label "Essentials of mathematical methods in science and engineering." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/277086703> ; # Essentials of mathematical methods in science and engineering
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.