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02542nam a22002417a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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CUTN |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20231122162214.0 |
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231122b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781944660185 |
| 041 ## - LANGUAGE CODE |
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| Language |
English |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
515.353 |
| Item number |
HAT |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Hattori, Harumi |
| 245 ## - TITLE STATEMENT |
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| Title |
Partial differential equations : |
| Remainder of title |
Methods, applications and theories / |
| Statement of responsibility, etc |
Harumi Hattori |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Singapore : |
| Name of publisher, distributor, etc |
World Scientific Publishing Co., |
| Date of publication, distribution, etc |
2019. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvi, 410 p.: |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Contents |
1. First and second order linear equations : preparation<br/>2. Heat equation<br/>3. Wave equation<br/>4. Laplace equation<br/>5. First order equations<br/>6. Fourier series and eigenvalue problems<br/>7. Separation of variables in higher dimensions<br/> |
| Title |
8. More separation of variables<br/>9. Fourier transform<br/>10. Laplace transform<br/>11. Green's functions<br/>12. Applications |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This is an introductory level textbook for partial differential equations (PDE's). It is suitable for a one-semester undergraduate level or two-semester graduate level course in PDE's or applied mathematics. This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of PDE's. Chapters One to Five are organized to aid understanding of the basic PDE's. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations, we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green's functions. Equations in higher dimensions are also discussed in detail. In this second edition, a new chapter is added and numerous improvements have been made including the reorganization of some chapters. Extensions of nonlinear equations treated in earlier chapters are also discussed. Partial differential equations are becoming a core subject in Engineering and the Sciences. This textbook will ... benefit those studying in these subjects by covering basic and advanced topics in PDE based on applications |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Équations aux dérivées partielles |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Partielle Differentialgleichung |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) |
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| Department Name |
Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
General Books |
