Partial differential equations (Record no. 72815)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02970cam a2200337Ma 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00011331 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190810s2019 si a ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789811202247 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9811202249 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 515/.353 |
| 100 1# - AUTHOR NAME | |
| Author | Hattori, Harumi. |
| 245 10 - TITLE STATEMENT | |
| Title | Partial differential equations |
| Sub Title | methods, applications, and theories / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| Publisher | World Scientific Publishing, |
| Year of publication | 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (xvi, 410 p.) : |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is an introductory level textbook for partial differential equations (PDEs). It is suitable for a one-semester undergraduate level or two-semester graduate level course in PDEs 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 PDEs. Chapters One to Five are organized to aid understanding of the basic PDEs. 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 greatly benefit those studying in these subjects by covering basic and advanced topics in PDEs based on applications. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | First and second order linear equations : preparation -- Heat equation -- Wave equation -- Laplace equation -- First order equations -- Fourier series and eigenvalue problems -- Separation of variables in higher dimensions -- More separation of variables -- Fourier transform -- Laplace transform -- Green's functions -- Applications -- Appendices. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/11331#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Differential equations, Partial. |
No items available.