schliessen

Filtern

 

Bibliotheken

Essentials of mathematical methods in science and engineering / Ş. Selçuk Bayin

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

PPN (Catalogue-ID): 606000380
Personen: Bayin, Ş. Selçuk
Format: eBook eBook
Enthält: Essentials of Mathematical Methods in Science and Engineering; CONTENTS; Preface; Acknowledgments; 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.
Language: English
Published: Hoboken, NJ [u.a.], Wiley, 2008
Basisklassifikation: 31.80
50.03
Subjects:

Technische Mathematik

Analysis

Notes: Includes bibliographical references (p. 787-792) and index.
Physical Description: Online-Ressource (Text + Images)
Link: Inhaltstext
ISBN: 978-0-470-37804-5
0-470-37804-2
1-281-76673-9
978-0-470-37804-5
978-1-281-76673-1
Sekundärausgabe Online-Ausg., 2009

Similar Items

Vorhandene Hefte/Bände

more (+)

Informationen zur Verfügbarkeit werden geladen

Staff View
LEADER 16374cam a22023892 4500
001 606000380
003 DE-627
005 20190310033610.0
007 cr uuu---uuuuu
008 090805s2008 xx |||||o 00| ||eng c
020 |a 9780470378045  |9 978-0-470-37804-5 
020 |a 0470378042  |9 0-470-37804-2 
020 |a 1281766739  |9 1-281-76673-9 
020 |a 9780470378045  |9 978-0-470-37804-5 
020 |a 9781281766731  |9 978-1-281-76673-1 
024 7 |a 10.1002/9780470378045  |2 doi 
035 |a (DE-627)606000380 
035 |a (DE-599)GBV606000380 
035 |a (OCoLC)845573118 
035 |a (ZBM)1157.00007 
035 |a (EBR)ebr10345875 
035 |a (EBC)EBC362060 
035 |a (EbpS)244365 
040 |a DE-627  |b eng  |c DE-627  |e pn 
041 |a eng 
044 |c XD-US 
050 0 |a Q158.5 
082 0 |a 501/.51  |2 22 
084 |a SCI 075000  |2 BISAC 
084 |a PBWD  |2 BIC 
084 |a *00A06  |2 MSC 
084 |a 15-01  |2 MSC 
084 |a 15A06  |2 MSC 
084 |a 15A09  |2 MSC 
084 |a 15A15  |2 MSC 
084 |a 15A72  |2 MSC 
084 |a 26-01  |2 MSC 
084 |a 26A24  |2 MSC 
084 |a 26A42  |2 MSC 
084 |a 26B10  |2 MSC 
084 |a 26B12  |2 MSC 
084 |a 26B15  |2 MSC 
084 |a 26B20  |2 MSC 
084 |a 30-01  |2 MSC 
084 |a 30B10  |2 MSC 
084 |a 30E20  |2 MSC 
084 |a 33-01  |2 MSC 
084 |a 33C10  |2 MSC 
084 |a 33C45  |2 MSC 
084 |a 34-01  |2 MSC 
084 |a 34B30  |2 MSC 
084 |a 35-01  |2 MSC 
084 |a 35J05  |2 MSC 
084 |a 35J10  |2 MSC 
084 |a 35K05  |2 MSC 
084 |a 42-01  |2 MSC 
084 |a 42A16  |2 MSC 
084 |a 42A38  |2 MSC 
084 |a 44-01  |2 MSC 
084 |a 44A10  |2 MSC 
084 |a 49-01  |2 MSC 
084 |a 49S05  |2 MSC 
084 |a 53-01  |2 MSC 
084 |a 53A45  |2 MSC 
084 |a 60-01  |2 MSC 
084 |a 60A05  |2 MSC 
084 |a 60E05  |2 MSC 
084 |a 62-01  |2 MSC 
084 |a 62B10  |2 MSC 
084 |a 62P35  |2 MSC 
084 |a 70-01  |2 MSC 
084 |a 70H03  |2 MSC 
084 |a 70H20  |2 MSC 
084 |a 80-01  |2 MSC 
084 |a 80A20  |2 MSC 
084 |a 80M30  |2 MSC 
084 |a 82-01  |2 MSC 
084 |a 82B10  |2 MSC 
084 |a 94-01  |2 MSC 
084 |a 94A15  |2 MSC 
084 |a 94A60  |2 MSC 
084 |a 31.80  |2 bkl 
084 |a 50.03  |2 bkl 
100 1 |a Bayin, Ş. Selçuk 
245 1 0 |a Essentials of mathematical methods in science and engineering  |c Ş. Selçuk Bayin 
264 1 |a Hoboken, NJ [u.a.]  |b Wiley  |c 2008 
300 |a Online-Ressource (Text + Images) 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
500 |a Includes bibliographical references (p. 787-792) and index. 
501 |a Essentials of Mathematical Methods in Science and Engineering; CONTENTS; Preface; Acknowledgments; 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. 
501 |a 1.15 Integrals Involving a Parameter1.16 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. 
501 |a 2.6.1 Meaning of Divergence and the Divergence Theorem2.7 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. 
501 |a 2.10.2 Work Done by Gravitational Force2.10.3 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. 
501 |a 3.2.1 Algebraic Properties of Tensors3.2.2 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. 
501 |a 3.4.11 Invariance and Covariance. 
501 |a 1. Functional Analysis1.1 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. 
520 |a 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 
520 |a 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 understanding of key mathematical concepts such as advanced calculus, differential equations, complex analysis, and introductory mathematical physics. Essentials of Mathematical Methods in Science and Engineering provides a comprehensive introduction to these methods under one cover, outlining basic mathematical skills while also encouraging students and practitioners to develop new, interdisciplinary appr 
530 |a Electronic reproduction; Available via World Wide Web. 
533 |a Online-Ausg.  |d 2009  |7 |2009||||||||||  |n Electronic reproduction; Available via World Wide Web 
689 0 0 |D s  |0 (DE-588)4827059-3  |0 (DE-627)486576698  |0 (DE-576)216782031  |a Technische Mathematik  |2 gnd 
689 0 |5 (DE-627) 
689 1 0 |D s  |0 (DE-588)4001865-9  |0 (DE-627)106395467  |0 (DE-576)208844600  |a Analysis  |2 gnd 
689 1 |5 (DE-627) 
776 1 |z 0470378026  |c electronic bk.  |9 0-470-37802-6 
776 1 |z 9780470378021  |c : electronic bk.  |9 978-0-470-37802-1 
776 1 |z 9780470343791  |9 978-0-470-34379-1 
776 0 8 |i Druckausg.  |a Bayin, Ş. Selçuk, 1951 -   |t Essentials of mathematical methods in science and engineering  |d Hoboken, NJ [u.a.] : Wiley, 2008  |h XXVII, 802 S.  |w (DE-627)560681739  |w (DE-576)286072556  |z 9780470343791  |z 0470343796 
856 4 0 |u http://site.ebrary.com/lib/alltitles/docDetail.action?docID=10345875 
856 4 0 |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=244365  |3 Volltext 
856 4 0 |u http://dx.doi.org/10.1002/9780470378045  |y John Wiley 
856 4 0 |u http://gbv.eblib.com/patron/FullRecord.aspx?p=362060  |3 Volltext 
856 4 0 |u http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=244365  |3 Volltext 
856 4 0 |u https://ebookcentral.proquest.com/lib/gbv/detail.action?docID=362060 
856 4 0 |u http://onlinelibrary.wiley.com/book/10.1002/9780470378045  |3 Volltext 
856 4 2 |u http://catdir.loc.gov/catdir/enhancements/fy0810/2008004313-d.html  |3 Verlagsangaben 
856 4 2 |u http://www.myilibrary.com?id=176673&ref=toc  |y MyiLibrary, Table of contents 
856 4 2 |u http://zbmath.org/?q=an:1157.00007  |m DE-601  |n ZBM  |q pdf/application  |v 2014-03-10  |y Zentralblatt MATH  |3 Inhaltstext 
912 |a H-ZDB-38-EBR 
912 |a H-ZDB-4-NLEBK 
912 |a H-ZDB-30-PQE 
912 |a H-ZDB-35-WIC 
912 |a H-ZDB-35-UBC 
912 |a GBV_ILN_21 
912 |a SYSFLAG_1 
912 |a GBV_KXP 
912 |a SSG-OPC-MAT 
912 |a H-ZDB-38-EBR 
912 |a H-ZDB-4-NLEBK 
912 |a H-ZDB-30-PQE 
912 |a H-ZDB-35-WIC 
912 |a H-ZDB-35-UBC 
912 |a GBV_ILN_22 
912 |a GBV_ILN_22_i06404 
912 |a H-ZDB-38-EBR 
912 |a H-ZDB-4-NLEBK 
912 |a H-ZDB-30-PQE 
912 |a H-ZDB-35-WIC 
912 |a H-ZDB-35-UBC 
912 |a GBV_ILN_23 
912 |a H-ZDB-38-EBR 
912 |a H-ZDB-4-NLEBK 
912 |a H-ZDB-30-PQE 
912 |a H-ZDB-35-WIC 
912 |a H-ZDB-35-UBC 
912 |a GBV_ILN_40 
912 |a H-ZDB-38-EBR 
912 |a H-ZDB-4-NLEBK 
912 |a H-ZDB-30-PQE 
912 |a H-ZDB-35-WIC 
912 |a H-ZDB-35-UBC 
912 |a GBV_ILN_62 
912 |a H-ZDB-38-EBR 
912 |a H-ZDB-4-NLEBK 
912 |a H-ZDB-30-PQE 
912 |a H-ZDB-35-WIC 
912 |a H-ZDB-35-UBC 
912 |a GBV_ILN_90 
912 |a H-ZDB-38-EBR 
912 |a H-ZDB-4-NLEBK 
912 |a H-ZDB-30-PQE 
912 |a H-ZDB-35-WIC 
912 |a H-ZDB-35-UBC 
912 |a GBV_ILN_100 
912 |a H-ZDB-38-EBR 
912 |a H-ZDB-4-NLEBK 
912 |a H-ZDB-30-PQE 
912 |a H-ZDB-35-WIC 
912 |a H-ZDB-35-UBC 
912 |a GBV_ILN_120 
935 |h GBV  |i hybr 
936 b k |a 31.80  |j Angewandte Mathematik  |0 (DE-627)106419005 
936 b k |a 50.03  |j Methoden und Techniken der Ingenieurwissenschaften  |0 (DE-627)181571455 
951 |a BO 
980 |2 21  |1 01  |b 1614091218  |h ebook_2016_wiley_ubcm  |k Freie Nutzung im Campusnetz der Universitaet und der Hochschulen im Lande Bremen  |x 0046  |y zza  |z 03-05-16 
980 |2 22  |1 01  |b 1847841031  |h h64 EBA Wiley  |k Campuslizenz Universität Hamburg. - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.  |l EBA Freischaltung bis 30.11.2019  |x 0018  |y zi06404  |z 07-02-19 
980 |2 23  |1 01  |b 1728566509  |h olr-wiley1  |k Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots  |x 0830  |y z  |z 07-12-17 
980 |2 40  |1 01  |b 1718521626  |h OLR-EBA-WILEY  |l UBCM 201710  |x 0007  |y xsn  |z 25-10-17 
980 |2 62  |1 01  |b 1834077729  |h OLR-Wiley-UBCM  |k Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.  |x 0028  |y z  |z 19-12-18 
980 |2 90  |1 01  |b 1833833341  |h OLR-ubcm  |k Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.  |x 3090  |y z  |z 19-12-18 
980 |2 100  |1 01  |b 943148103  |d eBook Wiley  |k Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.  |l Bestellung (Wiley-Paket) unter epn 851365361  |x 3100  |y z  |z 05-08-09 
980 |2 120  |1 01  |b 1683758919  |k Campusweiter Zugriff (Universität Oldenburg). - Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Keine Weitergabe an Dritte. Kein systematisches Downloaden durch Robots.  |x 0715  |y z  |z 02-05-17 
980 |2 120  |1 04  |b 1752904656  |e n  |h alma  |x 0715  |y l04  |z 22-02-18 
981 |2 21  |1 01  |r https://onlinelibrary.wiley.com/doi/book/10.1002/9780470378045 
981 |2 62  |1 01  |r http://dx.doi.org/10.1002/9780470378045 
981 |2 90  |1 01  |r http://dx.doi.org/10.1002/9780470378045 
981 |2 120  |1 01  |r http://dx.doi.org/10.1002/9780470378045 
981 |2 120  |1 04  |r http://49gbv-uob-primo.hosted.exlibrisgroup.com/openurl/49GBV_UOB/UOB_services_page?u.ignore_date_coverage=true&rft.mms_id=991014376869703501 
983 |2 120  |1 00  |8 99  |a ww 
983 |2 120  |1 04  |8 00  |a ww 
985 |2 22  |1 01  |a h64 ebook 
985 |2 23  |1 01  |a 2017-02100, 2017-02101, 2017-02102, 2017-02103, 2017-02104 
995 |2 21  |1 01  |a ebook_2016_wiley_ubcm 
995 |2 22  |1 01  |a h64 EBA Wiley 
995 |2 23  |1 01  |a olr-wiley1 
995 |2 40  |1 01  |a OLR-EBA-WILEY 
995 |2 62  |1 01  |a OLR-Wiley-UBCM 
995 |2 90  |1 01  |a OLR-ubcm 
995 |2 120  |1 04  |a alma 
998 |2 23  |1 01  |0 2017.12.07