{"product_id":"a-short-introduction-to-partial-differential-equations-9783031395260","title":"A Short Introduction to Partial Differential Equations","description":"\u003cp\u003eThis book provides a short introduction to partial differential equations (PDEs). It is primarily addressed to graduate students and researchers, who are new to PDEs. The book offers a user-friendly approach to the analysis of PDEs, by combining elementary techniques and fundamental modern methods.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe author focuses the analysis on four prototypes of PDEs, and presents two approaches for each of them. The first approach consists of the method of analytical and classical solutions, and the second approach consists of the method of weak (variational) solutions.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003eIn connection with the approach of weak solutions, the book also provides an introduction to distributions, Fourier transform and Sobolev spaces. The book ends with an appendix chapter, which complements the previous chapters with proofs, examples and remarks.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThis book can be used for an intense one-semester, or normal two-semester, PDE course. The reader isexpected to have knowledge of linear algebra and of differential equations, a good background in real and complex calculus and a modest background in analysis and topology. The book has many examples, which help to better understand the concepts, highlight the key ideas and emphasize the sharpness of results, as well as a section of problems at the end of each chapter.\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublication date:\u003c\/strong\u003e 1 January 2025\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePage count:\u003c\/strong\u003e 219\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e Height 279 mm; Width 210 mm\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Springer International Publishing AG\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Paperback\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eISBN-13:\u003c\/strong\u003e 9783031395260\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Arian Novruzi","offers":[{"title":"Paperback","offer_id":67600008216826,"sku":"9783031395260","price":41.29,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/files\/9783031395260.jpg?v=1790648612","url":"https:\/\/shulphink.com\/products\/a-short-introduction-to-partial-differential-equations-9783031395260","provider":"Shulph Ink","version":"1.0","type":"link"}