MARC ayrıntıları
| 000 -LEADER |
|---|
| fixed length control field |
08506nam a2200361 i 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
100903s2011 flua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
|---|
| LC control number |
2010034920 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781439816240 |
| Qualifying information |
(hardback) |
|
|---|
| International Standard Book Number |
1439816247 |
| Qualifying information |
(hardback) |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)642287707 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
YDX |
| -- |
BTCTA |
| -- |
YDXCP |
| -- |
UKM |
| -- |
CDX |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
TA345 |
| Item number |
.D84 2011 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Duffy, Dean G |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Advanced engineering mathematics with MATLAB / |
| Statement of responsibility, etc |
Dean G. Duffy |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
3rd ed |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Boca Raton, FL : |
| Name of producer, publisher, distributor, manufacturer |
CRC Press, |
| Date of production, publication, distribution, manufacture, or copyright notice |
[2011] |
|
|---|
| Date of production, publication, distribution, manufacture, or copyright notice |
©2011 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1079 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
25 cm |
| 336 ## - CONTENT TYPE |
|---|
| Content Type Term |
text |
| Content Type Code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media Type Term |
unmediated |
| Media Type Code |
unmediated |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier Type Term |
volume |
| Carrier Type Code |
volume |
| Source |
rdacarrier |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Title |
Contents |
| -- |
Dedication |
| -- |
Contents |
| -- |
Acknowledgments |
| -- |
Author |
| -- |
Introduction |
| -- |
List of Definitions |
| -- |
chapter 1 Complex Variables 1 |
| -- |
1.1. Complex Numbers 1 |
| -- |
1.2. Finding Roots 6 |
| -- |
1.3. The Derivative in the Complex Plane: The Cauchy-Riemann Equations 9 |
| -- |
1.4. Line Integrals 19 |
| -- |
1.5. The Cauchy-Goursat Theorem 25 |
| -- |
1.6. Cauchy's Integral Formula 28 |
| -- |
1.7. Taylor and Laurent Expansions and Singularities 32 |
| -- |
1.8. Theory of Residues 40 |
| -- |
1.9. Evaluation of Real Definite Integrals 45 |
| -- |
1.10. Cauchy's Principal Value Integral 54 |
| -- |
chapter 2 First-Order Ordinary Differential Equations 63 |
| -- |
2.1. Classification of Differential Equations 63 |
| -- |
2.2. Separation of Variables 67 |
| -- |
2.3. Homogeneous Equations 81 |
| -- |
2.4. Exact Equations 82 |
| -- |
2.5. Linear Equations 85 |
| -- |
2.6. Graphical Solutions 98 |
| -- |
2.7. Numerical Methods 101 |
| -- |
chapter 3 Higher-Order Ordinary Differential Equations 115 |
| -- |
3.1. Homogeneous Linear Equations with Constant Coefficients 120 |
| -- |
3.2. Simple Harmonic Motion 129 |
| -- |
3.3. Damped Harmonic Motion 134 |
| -- |
3.4. Method of Undetermined Coefficients 139 |
| -- |
3.5. Forced Harmonic Motion 145 |
| -- |
3.6. Variation of Parameters 154 |
| -- |
3.7. Euler-Cauchy Equation 160 |
| -- |
3.8. Phase Diagrams 164 |
| -- |
3.9. Numerical Methods 170 |
| -- |
chapter 4 Fourier Series 177 |
| -- |
4.1. Fourier Series 177 |
| -- |
4.2. Properties of Fourier Series 191 |
| -- |
4.3. Half-Range Expansions 199 |
| -- |
4.4. Fourier Series with Phase Angles 206 |
| -- |
4.5. Complex Fourier Series 208 |
| -- |
4.6. The Use of Fourier Series in the Solution of Ordinary Differential Equations 213 |
| -- |
4.7. Finite Fourier Series 222 |
| -- |
chapter 5 The Fourier Transforms 239 |
| -- |
5.1. Fourier Transforms 239 |
| -- |
5.2. Fourier Transforms Containing the Delta Function 250 |
| -- |
5.3. Properties of Fourier Transforms 253 |
| -- |
5.4. Inversion of Fourier Transforms 267 |
| -- |
5.5. Convolution 282 |
| -- |
5.6. Solution of Ordinary Differential Equations by Fourier Transforms 285 |
| -- |
chapter 6 The Laplace Transform 289 |
| -- |
6.1. Definition and Elementary Properties 289 |
| -- |
6.2. The Heaviside Step and Dirac Delta Functions 297 |
| -- |
6.3. Some Useful Theorems 303 |
| -- |
6.4. The Laplace Transform of a Periodic Function 312 |
| -- |
6.5. Inversion by Partial Fractions: Heaviside's Expansion Theorem 315 |
| -- |
6.6. Convolution 323 |
| -- |
6.7. Integral Equations 328 |
| -- |
6.8. Solution of Linear Differential Equations with Constant Coefficients 334 |
| -- |
6.9. Inversion by Contour Integration 353 |
| -- |
chapter 7 The Z-Transform 363 |
| -- |
7.1. The Relationship of the Z-Transform to the Laplace Transform 364 |
| -- |
7.2. Some Useful Properties 371 |
| -- |
7.3. Inverse Z-Transforms 379 |
| -- |
7.4. Solution of Difference Equations 389 |
| -- |
7.5. Stability of Discrete-Time Systems 398 |
| -- |
chapter 8 The Hilbert Transform 405 |
| -- |
8.1. Definition 405 |
| -- |
8.2. Some Useful Properties 416 |
| -- |
8.3. Analytic Signals 423 |
| -- |
8.4. Causality: The Kramers-Kronig Relationship 426 |
| -- |
chapter 9 The Sturm-Liouville Problem 431 |
| -- |
9.1. Eigenvalues and Eigenfunctions 431 |
| -- |
9.2. Orthogonality of Eigenfunctions 442 |
| -- |
9.3. Expansion in Series of Eigenfunctions 446 |
| -- |
9.4. A Singular Sturm-Liouville Problem: Legendre's Equation 451 |
| -- |
9.5. Another Singular Sturm-Liouville Problem: Bessel's Equation 468 |
| -- |
9.6. Finite Element Method 490 |
| -- |
chapter 10 The Wave Equation 499 |
| -- |
10.1. The Vibrating String 500 |
| -- |
10.2. Initial Conditions: Cauchy Problem 502 |
| -- |
10.3. Separation of Variables 503 |
| -- |
10.4. D'Alembert's Formula 524 |
| -- |
10.5. The Laplace Transform Method 532 |
| -- |
10.6. Numerical Solution of the Wave Equation 553 |
| -- |
chapter 11 The Heat Equation 565 |
| -- |
11.1. Derivation of the Heat Equation 566 |
| -- |
11.2. Initial and Boundary Conditions 567 |
| -- |
11.3. Separation of Variables 568 |
| -- |
11.4. The Laplace Transform Method 612 |
| -- |
11.5. The Fourier Transform Method 629 |
| -- |
11.6. The Superposition Integral 636 |
| -- |
11.7. Numerical Solution of the Heat Equation 649 |
| -- |
chapter 12 Laplace's Equation 659 |
| -- |
12.1. Derivation of Laplace's Equation 660 |
| -- |
12.2. Boundary Conditions 662 |
| -- |
12.3. Separation of Variables 663 |
| -- |
12.4. The Solution of Laplace's Equation on the Upper Half-Plane 707 |
| -- |
12.5. Poisson's Equation on a Rectangle 709 |
| -- |
12.6. The Laplace Transform Method 713 |
| -- |
12.7. Numerical Solution of Laplace's Equation 716 |
| -- |
12.8. Finite Element Solution of Laplace's Equation 722 |
| -- |
chapter 13 Green's Functions 731 |
| -- |
13.1. What Is a Green's Function? 731 |
| -- |
13.2. Ordinary Differential Equations 738 |
| -- |
13.3. Joint Transform Method 762 |
| -- |
13.4. Wave Equation 766 |
| -- |
13.5. Heat Equation 777 |
| -- |
13.6. Helmholtz's Equation 789 |
| -- |
chapter 14 Vector Calculus 813 |
| -- |
14.1. Review 813 |
| -- |
14.2. Divergence and Curl 822 |
| -- |
14.3. Line Integrals 827 |
| -- |
14.4. The Potential Function 832 |
| -- |
14.5. Surface Integrals 834 |
| -- |
14.6. Green's Lemma 842 |
| -- |
14.7. Stokes' Theorem 846 |
| -- |
14.8. Divergence Theorem 853 |
| -- |
chapter 15 Linear Algebra 863 |
| -- |
15.1. Fundamentals of Linear Algebra 863 |
| -- |
15.2. Determinants 871 |
| -- |
15.3. Cramer's Rule 876 |
| -- |
15.4. Row Echelon Form and Gaussian Elimination 879 |
| -- |
15.5. Eigenvalues and Eigenvectors 890 |
| -- |
15.6. Systems of Linear Differential Equations 899 |
| -- |
15.7. Matrix Exponential 905 |
| -- |
chapter 16 Probability 913 |
| -- |
16.1. Review of Set Theory 914 |
| -- |
16.2. Classic Probability 916 |
| -- |
16.3. Discrete Random Variables 928 |
| -- |
16.4. Continuous Random Variables 934 |
| -- |
16.5. Mean and Variance 942 |
| -- |
16.6. Some Commonly Used Distributions 947 |
| -- |
16.7. Joint Distributions 956 |
| -- |
chapter 17 Random Processes 969 |
| -- |
17.1. Fundamental Concepts 973 |
| -- |
17.2. Power Spectrum 980 |
| -- |
17.3. Differential Equations Forced by Random Forcing 984 |
| -- |
17.4. Two-State Markov Chains 993 |
| -- |
17.5. Birth and Death Processes 1003 |
| -- |
17.6. Poisson Processes 1017 |
| -- |
17.7. Random Walk 1024 |
| -- |
Answers to the Odd-Numbered Problems 1037 |
| -- |
Index 1067 |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
"Resoundingly popular in its first edition, Dean Duffy's Advanced Engineering Mathematics has been updated, expanded, and now more than ever provides the solid mathematics background required throughout the engineering disciplines. Melding the author's expertise as a practitioner and his years of teaching engineering mathematics, this text stands clearly apart from the many others available. <BR><BR>Relevant, insightful examples follow nearly every concept introduced and demonstrate its practical application. This edition includes two new chapters on differential equations, another on Hilbert transforms, and many new examples, problems, and projects that help build problem-solving skills. Most importantly, the book now incorporates the use of MATLAB throughout the presentation to reinforce the concepts presented. MATLAB code is included so readers can take an analytic result, fully explore it graphically, and gain valuable experience with this industry-standard software"--Provided by publisher |
|
|---|
| Summary, etc |
"Resoundingly popular in its first edition, Dean Duffy's Advanced Engineering Mathematics has been updated, expanded, and now more than ever provides the solid mathematics background required throughout the engineering disciplines. Melding the author's expertise as a practitioner and his years of teaching engineering mathematics, this text stands clearly apart from the many others available. Relevant, insightful examples follow nearly every concept introduced and demonstrate its practical application. This edition includes two new chapters on differential equations, another on Hilbert transforms, and many new examples, problems, and projects that help build problem-solving skills. Most importantly, the book now incorporates the use of MATLAB throughout the presentation to reinforce the concepts presented. MATLAB code is included so readers can take an analytic result, fully explore it graphically, and gain valuable experience with this industry-standard software"--Provided by publisher |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Engineering mathematics |
| General subdivision |
Data processing |
| 630 00 - SUBJECT ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
MATLAB |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] |
|---|
| Personal Name |
34752 |
|
|---|
| Numeration |
satın |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Kitap |
-baunlogo.png?alt=media&token=2b1f50b7-298a-48ee-a2b1-6fcf8e70b387)
-Facebook-2024.png?alt=media&token=2fcc0655-0091-431c-8ee0-059464d6eda1){kind=small}
-Instagram-2024.png?alt=media&token=a143a92a-6f9d-45a7-9ba2-9cc62f92e772){kind=small}