MARC details
| 000 -LEADER |
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| fixed length control field |
02737nam a22002537a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20220822140728.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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220822b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781441931870 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.35 |
| Item number |
BEN |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Bender, Carl M. |
| 245 ## - TITLE STATEMENT |
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| Title |
Advanced mathematical methods for scientists and engineers I : |
| Remainder of title |
asymptotic methods and perturbation theory |
| Statement of responsibility, etc. |
Carl M Bender; Steven A Orszag |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New York, NY : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
©1999. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Page number |
xiv, 593 pages : |
| Other physical details |
ill.; |
| Dimensions |
24 cm. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
Ordinary Differential Equations --<br/> |
| -- |
Difference Equations --<br/> |
| -- |
Approximate Solution of Linear Differential Equations --<br/> |
| -- |
Approximate Solution of Nonlinear Equations --<br/> |
| -- |
Approximate Solution of Difference Equations --<br/> |
| -- |
Asymptotic Expansion of Integrals --<br/> |
| -- |
Perturbation Series --<br/> |
| -- |
Summation of Series --<br/> |
| -- |
Boundary Layer Theory --<br/> |
| -- |
WKB Theory --<br/> |
| -- |
Multiple Scales Analysis -- |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute- force numerical methods may not converge to useful solutions. The presentation is aimed at teaching the insights that are most useful in approaching new problems; it avoids special methods and tricks that work only for particular problems, such as the traditional transcendental functions. Intended for graduate students and advanced undergraduates, the book assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations; develops local asymptotic methods for differential and difference equations; explains perturbation and summation theory; and concludes with a an exposition of global asymptotic methods, including boundary-layer theory, WKB theory, and multiple-scale analysis. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach the reader how an applied mathematician tackles problems. There are 190 computer- generated plots and tables comparing approximate and exact solutions; over 600 problems, of varying levels of difficulty; and an appendix summarizing the properties of special functions. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Engineering mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Differential equations--Numerical solutions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Science--Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematical physics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Global analysis (Mathematics) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematical analysis |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Orszag, Steven A. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) |
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| -- |
5424 |
| 952 ## - LOCATION AND ITEM INFORMATION (KOHA) |
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5425 |
