{"product_id":"modern-mathematical-methods-for-scientists-and-engineers-a-streetsmart-introduction-9781800611832","title":"Modern Mathematical Methods For Scientists And Engineers: A Street-smart Introduction","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eModern Mathematical Methods for Scientists and Engineers is a modern introduction to basic topics in mathematics at the undergraduate level, with emphasis on explanations and applications to real-life problems. It also includes an Application section with topics drawn from various areas, such as neural networks, fluid dynamics, and financial markets. The book presents several modern and computationally efficient topics, such as feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods. A unique and novel feature of the book is the introduction of the unified transform method for solving partial differential equations (PDEs), which is a challenge for many scientists and engineers. The unified transform greatly facilitates this task and provides a generalization of the d Alembert solution, valid for general boundary value problems. The authors present the unified transform pedagogically, building all the necessary background, including functions of real and complex variables and the Fourier transform, with numerous examples. \u003c\/blockquote\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 568 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 19 February 2023\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: World Scientific Europe Ltd\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003cbr\u003eModern Mathematical Methods for Scientists and Engineers is a comprehensive and contemporary introduction to fundamental mathematical concepts at the undergraduate level, with a strong emphasis on providing clear explanations and practical applications to real-world problems. The book encompasses a wide range of topics, including neural networks, fluid dynamics, and the behavior of put and call options in financial markets. Each chapter concludes with an Application section, featuring topics drawn from diverse areas such as these.\u003cbr\u003e\u003cbr\u003eThe book presents several cutting-edge and computationally efficient topics, such as feedforward neural networks, wavelets, generalized functions, stochastic optimization methods, and numerical methods. A unique and innovative aspect of this text is the introduction of a recently developed method for solving partial differential equations (PDEs), known as the unified transform. PDEs are fundamental mathematical tools that describe a vast array of phenomena, ranging from quantum mechanics to ocean waves, heat diffusion in matter, and the dynamics of financial markets. Despite the efforts of numerous renowned mathematicians, physicists, and engineers, the solution of PDEs remains a challenging task.\u003cbr\u003e\u003cbr\u003eThe unified transform significantly simplifies this process. For instance, over two and a half centuries after Jean d'Alembert formulated the wave equation and presented a solution for solving a simple problem related to this equation, the unified transform readily derives a generalization of the d'Alembert solution, valid for general boundary value problems. Moreover, two centuries after Joseph Fourier introduced the classical tool of the Fourier series for solving the heat equation, the unified transform constructs a novel solution to this ubiquitous PDE, offering significant analytical and numerical advantages over classical solutions.\u003cbr\u003e\u003cbr\u003eIn summary, Modern Mathematical Methods for Scientists and Engineers serves as an invaluable resource for students seeking to develop a strong foundation in mathematics, with a particular focus on its applications in science and engineering. By presenting a comprehensive range of topics and employing innovative methods, the book equips readers with the tools they need to solve complex problems and make informed decisions in their respective fields.\u003c\/p\u003e\u003cp\u003e\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9781800611832\u003c\/p\u003e","brand":"AthanassiosFokas,EfthimiosKaxiras","offers":[{"title":"Paperback \/ softback","offer_id":44123427340538,"sku":"9781800611832","price":80.33,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_61a14207-da7b-4acf-b58d-47b28cc273cc.jpg?v=1679676992","url":"https:\/\/shulphink.com\/products\/modern-mathematical-methods-for-scientists-and-engineers-a-streetsmart-introduction-9781800611832","provider":"Shulph Ink","version":"1.0","type":"link"}