{"product_id":"first-course-partial-2nd-ed-9789819821693","title":"First Course Partial ..(2nd Ed)","description":"\u003cp\u003e • Author(s): Buchanan J Robert\u003cbr\u003e • Publisher: World Scientific Publishing Company\u003cbr\u003e • Publisher Imprint: World Scientific Publishing Company\u003cbr\u003e • BISAC: Differential Equations - Partial\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\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","brand":"World Scientific Publishing Company","offers":[{"title":"Hardcover","offer_id":47572100513943,"sku":"9789819821693","price":20424.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789819821693.webp?v=1774888974","url":"https:\/\/atlanticbooks.com\/products\/first-course-partial-2nd-ed-9789819821693","provider":"Atlantic Books","version":"1.0","type":"link"}