{"product_id":"first-course-partial-2nd-ed-buchanan-j-robert-9789819821693","title":"First Course Partial ..(2nd Ed)","description":"\u003cp\u003eThis second edition to A First Course in Partial Differential Equations provides a clear, rigorous, and student-friendly introduction to the core theory and solution techniques for partial differential equations (PDEs), making it an ideal text for upper-level undergraduates in mathematics, physics, engineering, and the applied sciences.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis volume builds on the strengths of the first edition by integrating new topics that bridge classical theory with modern applications. In addition to comprehensive treatments of standard second-order linear PDEs - the heat equation, wave equation, and Laplace's equation - this edition includes substantial new content: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eA new chapter on the Fourier Transform, providing students with powerful tools to analyze PDEs in the frequency domain, along with practical examples relevant to physics and engineering.\u003c\/li\u003e\n\u003cli\u003eA new chapter on Green's Functions, illustrating their construction and use in solving nonhomogeneous boundary value problems, thereby deepening understanding of linear operators and solution representations.\u003c\/li\u003e\n\u003cli\u003eExpanded content on nonhomogeneous equations and boundary conditions, with methods such as Duhamel's principle fully developed.\u003c\/li\u003e\n\u003cli\u003eEnhanced coverage of numerical methods, especially finite difference approximations, to offer a practical introduction to computational approaches in solving PDEs.\u003c\/li\u003e\n\u003cli\u003eMore than 400 new exercises, now organized by section, promoting targeted practice and easier integration into coursework.\u003c\/li\u003e\n\u003cli\u003eMany chapters conclude with open-ended explorations and project suggestions, making the text ideal for undergraduate theses, research projects, or independent study.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eCore topics also include first-order linear and nonlinear PDEs arising in the physical and life sciences, Fourier series, Sturm-Liouville problems, and special functions of mathematical physics. Appendices review essential background in complex analysis and linear algebra, ensuring accessibility for students from a broad range of STEM disciplines.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWith its flexible structure, this textbook supports both one- and two-semester courses, and provides a solid foundation for students preparing for graduate-level PDE courses. It is equally valuable as a reference text for researchers and practitioners seeking practical methods for solving PDEs in scientific and engineering contexts.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Buchanan J Robert\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 981982169X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789819821693\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/12\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 792\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.68lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 1.63d","brand":"Buchanan J Robert","offers":[{"title":"Hardcover","offer_id":48442980499711,"sku":"9789819821693","price":198.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_33f48f3d-efa0-4bd3-b438-d70eddde72f9.jpg?v=1777201047","url":"https:\/\/www.whiterainbookhouse.com\/products\/first-course-partial-2nd-ed-buchanan-j-robert-9789819821693","provider":"WR Book House","version":"1.0","type":"link"}