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08404nam a2200745 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
6813523 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20200413152905.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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m eo d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cn |||m|||a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
120324s2012 caua foab 000 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781608457816 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Canceled/invalid ISBN |
9781608457809 (pbk.) |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.2200/S00377ED1V01Y201202MAS012 |
| Source of number or code |
doi |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(CaBNVSL)swl00400542 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)779218801 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
CaBNVSL |
| Transcribing agency |
CaBNVSL |
| Modifying agency |
CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
TA347.D45 |
| Item number |
W274 2012 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
620.00151535 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Watts, Robert G. |
| 245 10 - TITLE STATEMENT |
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| Title |
Essentials of applied mathematics for engineers and scientists |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
Robert G. Watts. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : |
| Name of publisher, distributor, etc. |
Morgan & Claypool, |
| Date of publication, distribution, etc. |
c2012. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 electronic text (xi, 185 p.) : |
| Other physical details |
ill., digital file. |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Synthesis lectures on mathematics and statistics, |
| International Standard Serial Number |
1938-1751 ; |
| Volume/sequential designation |
# 12 |
| 538 ## - SYSTEM DETAILS NOTE |
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| System details note |
Mode of access: World Wide Web. |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
System requirements: Adobe Acrobat Reader. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Part of: Synthesis digital library of engineering and computer science. |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Series from website. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Includes bibliographical references. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1. Partial differential equations in engineering -- 1.1 Introductory comments -- 1.2 Fundamental concepts -- Problems -- 1.3 The heat conduction (or diffusion) equation -- 1.3.1 Rectangular Cartesian coordinates -- 1.3.2 Cylindrical coordinates -- 1.3.3 Spherical coordinates -- The Laplacian operator -- 1.3.4 Boundary conditions -- 1.4 The vibrating string -- 1.4.1 Boundary conditions -- 1.5 Vibrating membrane -- 1.6 Longitudinal displacements of an elastic bar -- Further reading -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
2. The Fourier method: separation of variables -- 2.1 Heat conduction -- 2.1.1 Scales and dimensionless variables -- 2.1.2 Separation of variables -- 2.1.3 Superposition -- 2.1.4 Orthogonality -- 2.1.5 Lessons -- Problems -- 2.1.6 Scales and dimensionless variables -- 2.1.7 Separation of variables -- 2.1.8 Choosing the sign of the separation constant -- 2.1.9 Superposition -- 2.1.10 Orthogonality -- 2.1.11 Lessons -- 2.1.12 Scales and dimensionless variables -- 2.1.13 Getting to one nonhomogeneous condition -- 2.1.14 Separation of variables -- 2.1.15 Choosing the sign of the separation constant -- 2.1.16 Superposition -- 2.1.17 Orthogonality -- 2.1.18 Lessons -- 2.1.19 Scales and dimensionless variables -- 2.1.20 Relocating the nonhomogeneity -- 2.1.21 Separating variables -- 2.1.22 Superposition -- 2.1.23 Orthogonality -- 2.1.24 Lessons -- Problems -- 2.2 Vibrations -- 2.2.1 Scales and dimensionless variables -- 2.2.2 Separation of variables -- 2.2.3 Orthogonality -- 2.2.4 Lessons -- Problems -- Further reading -- |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
3. Orthogonal sets of functions -- 3.1 Vectors -- 3.1.1 Orthogonality of vectors -- 3.1.2 Orthonormal sets of vectors -- 3.2 Functions -- 3.2.1 Orthonormal sets of functions and Fourier series -- 3.2.2 Best approximation -- 3.2.3 Convergence of Fourier series -- 3.2.4 Examples of Fourier series -- Problems -- 3.3 Sturm-Liouville problems: orthogonal functions -- 3.3.1 Orthogonality of eigenfunctions -- Problems -- Further reading -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
4. Series solutions of ordinary differential equations -- 4.1 General series solutions -- 4.1.1 Definitions -- 4.1.2 Ordinary points and series solutions -- 4.1.3 Lessons: finding series solutions for differential equations with ordinary points -- Problems -- 4.1.4 Regular singular points and the method of frobenius -- 4.1.5 Lessons: finding series solution for differential equations with regular singular points -- 4.1.6 Logarithms and second solutions -- Problems -- 4.2 Bessel functions -- 4.2.1 Solutions of Bessel's equation -- Here are the rules -- 4.2.2 Fourier-Bessel series -- Problems -- 4.3 Legendre functions -- 4.4 Associated Legendre functions -- Problems -- Further reading -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
5. Solutions using Fourier series and integrals -- 5.1 Conduction (or diffusion) problems -- 5.1.1 Time-dependent boundary conditions -- 5.2 Vibrations problems -- Problems -- 5.3 Fourier integrals -- Problem -- Further reading -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
6. Integral transforms: the Laplace transform -- 6.1 The Laplace transform -- 6.2 Some important transforms -- 6.2.1 Exponentials -- 6.2.2 Shifting in the s -domain -- 6.2.3 Shifting in the time domain -- 6.2.4 Sine and cosine -- 6.2.5 Hyperbolic functions -- 6.2.6 Powers of t: tm -- 6.2.7 Heaviside step -- 6.2.8 The Dirac Delta function -- 6.2.9 Transforms of derivatives -- 6.2.10 Laplace transforms of integrals -- 6.2.11 Derivatives of transforms -- 6.3 Linear ordinary differential equations with constant coefficients -- 6.4 Some important theorems -- 6.4.1 Initial value theorem -- 6.4.2 Final value theorem -- 6.4.3 Convolution -- 6.5 Partial fractions -- 6.5.1 Nonrepeating roots -- 6.5.2 Repeated roots -- 6.5.3 Quadratic factors: complex roots -- Problems -- Further reading -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
7. Complex variables and the Laplace inversion integral -- 7.1 Basic properties -- 7.1.1 Limits and differentiation of complex variables: 7.1.1 -- Analytic functions -- Integrals -- 7.1.2 The Cauchy integral formula -- Problems -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
8. Solutions with Laplace transforms -- 8.1 Mechanical vibrations -- Problems -- 8.2 Diffusion or conduction problems -- Problems -- 8.3 Duhamel's theorem -- Problems -- Further reading -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
9. Sturm-Liouville transforms -- 9.1 A preliminary example: Fourier sine transform -- 9.2 Generalization: the Sturm-Liouville transform: theory -- 9.3 The inverse transform -- Problems -- Further reading -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
10. Introduction to perturbation methods -- 10.1 Examples from algebra -- 10.1.1 Regular perturbation -- 10.1.2 Singular perturbation -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
11. Singular perturbation theory of differential equations -- |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Appendix A. The roots of certain transcendental equations -- Appendix B. -- Author's biography. |
| 506 1# - RESTRICTIONS ON ACCESS NOTE |
|---|
| Terms governing access |
Abstract freely available; full-text restricted to subscribers or individual document purchasers. |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Compendex |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
INSPEC |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google scholar |
| 510 0# - CITATION/REFERENCES NOTE |
|---|
| Name of source |
Google book search |
| 520 3# - SUMMARY, ETC. |
|---|
| Summary, etc. |
The second edition of this popular book on practical mathematics for engineers includes new and expanded chapters on perturbation methods and theory. This is a book about linear partial differential equations that are common in engineering and the physical sciences. It will be useful to graduate students and advanced undergraduates in all engineering fields as well as students of physics, chemistry, geophysics and other physical sciences and professional engineers who wish to learn about how advanced mathematics can be used in their professions. The reader will learn about applications to heat transfer, fluid flow and mechanical vibrations. The book is written in such a way that solution methods and application to physical problems are emphasized. There are many examples presented in detail and fully explained in their relation to the real world. References to suggested further reading are included. The topics that are covered include classical separation of variables and orthogonal functions, Laplace transforms, complex variables and Sturm-Liouville transforms. This second edition includes two new and revised chapters on perturbation methods, and singular perturbation theory of differential equations. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
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| Additional physical form available note |
Also available in print. |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Title from PDF t.p. (viewed on March 24, 2012). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Engineering mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential equations |
| General subdivision |
Numerical solutions. |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Engineering mathematics |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
separation of variables |
| 653 ## - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
orthogonal functions |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
Laplace transforms |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
complex variables and Sturm-Liouville transforms |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
differential equations |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
perturbation methods |
| 653 ## - INDEX TERM--UNCONTROLLED |
|---|
| Uncontrolled term |
perturbation theory |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| International Standard Book Number |
9781608457809 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis digital library of engineering and computer science. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Synthesis lectures on mathematics and statistics ; |
| Volume/sequential designation |
# 12. |
| International Standard Serial Number |
1938-1751 |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Abstract with links to resource |
| Uniform Resource Identifier |
http://ieeexplore.ieee.org/servlet/opac?bknumber=6813523 |
