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It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42642709741807,"sku":"9781108480390","price":76.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781108480390i.jpg?v=1648731893"},{"product_id":"compressive-imaging-structure-sampling-learning","title":"Compressive Imaging: Structure, Sampling, Learning","description":"\u003cdiv id=\"m_excelWebRenderer_ewaCtl_headerDiv\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_formulaBar\" class=\"ewa-fb-nb\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb drop-down\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb-text-box\" wrap=\"virtual\" spellcheck=\"false\" role=\"textbox\" id=\"formulaBarTextDivId\" aria-label=\"formula bar\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" autocorrect=\"off\" contenteditable=\"false\"\u003eAccurate, robust and fast image reconstruction is a critical task in many scientific, industrial and medical applications. Over the last decade, image reconstruction has been revolutionized by the rise of compressive imaging. It has fundamentally changed the way modern image reconstruction is performed. This in-depth treatment of the subject commences with a practical introduction to compressive imaging, supplemented with examples and downloadable code, intended for readers without extensive background in the subject. Next, it introduces core topics in compressive imaging – including compressed sensing, wavelets and optimization – in a concise yet rigorous way, before providing a detailed treatment of the mathematics of compressive imaging. The final part is devoted to recent trends in compressive imaging: deep learning and neural networks. With an eye to the next decade of imaging research, and using both empirical and mathematical insights, it examines the potential benefits and the pitfalls of these latest approaches.\u003cspan data-mce-fragment=\"1\"\u003e\u003c\/span\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_clientAreaDiv\" class=\"ewa-clientarea ewa-clientarea-read\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_fieldManagerPane_m_root\" class=\"ewa-flp-ltr ewa-flp-border-ltr\" data-cssfile=\"https:\/\/c1h-excel-15.cdn.office.net:443\/x\/s\/h12FB3F86BFB2BC62__layouts\/Resources\/2057\/FieldListPane.css\" dir=\"ltr\" data-mce-fragment=\"1\"\u003e\u003cbr data-mce-fragment=\"1\"\u003e\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_contentAreaDiv\" role=\"main\" class=\"ewa-contentarea\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-gridKeyHandler\" role=\"textbox\" spellcheck=\"false\" autocomplete=\"false\" id=\"gridKeyboardContentEditable\" aria-label=\"grid\" inputmode=\"text\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" contenteditable=\"true\" autocorrect=\"off\" virtualkeyboardpolicy=\"manual\"\u003e\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42660216406255,"sku":"9781108421614","price":59.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781108421614.jpg?v=1649163786"},{"product_id":"topographic-effects-in-stratified-flows","title":"Topographic Effects in Stratified Flows","description":"\u003cdiv id=\"m_excelWebRenderer_ewaCtl_headerDiv\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_formulaBar\" class=\"ewa-fb-nb\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb drop-down\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb-text-box\" wrap=\"virtual\" spellcheck=\"false\" role=\"textbox\" id=\"formulaBarTextDivId\" aria-label=\"formula bar\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" autocorrect=\"off\" contenteditable=\"false\"\u003eCovering both theory and experiment, this text describes the behaviour of homogeneous and density-stratified fluids over and around topography. Its presentation is suitable for advanced undergraduate and graduate students in fluid mechanics, as well as for practising scientists, engineers, and researchers. Using laboratory experiments and illustrations to further understanding, the author explores topics ranging from the classical hydraulics of single-layer flow to more complex situations involving stratified flows over two- and three-dimensional topography, including complex terrain. A particular focus is placed on applications to the atmosphere and ocean, including discussions of downslope windstorms, and of oceanic flow over continental shelves and slopes. This new edition has been restructured to make it more digestible, and updated to cover significant developments in areas such as exchange flows, gravity currents, waves in stratified fluids, stability, and applications to the atmosphere and ocean.\u003cspan data-mce-fragment=\"1\"\u003e\u003c\/span\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_clientAreaDiv\" class=\"ewa-clientarea ewa-clientarea-read\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_fieldManagerPane_m_root\" class=\"ewa-flp-ltr ewa-flp-border-ltr\" data-cssfile=\"https:\/\/c1h-excel-15.cdn.office.net:443\/x\/s\/h12FB3F86BFB2BC62__layouts\/Resources\/2057\/FieldListPane.css\" dir=\"ltr\" data-mce-fragment=\"1\"\u003e\u003cbr data-mce-fragment=\"1\"\u003e\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_contentAreaDiv\" role=\"main\" class=\"ewa-contentarea\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-gridKeyHandler\" role=\"textbox\" spellcheck=\"false\" autocomplete=\"false\" id=\"gridKeyboardContentEditable\" aria-label=\"grid\" inputmode=\"text\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" contenteditable=\"true\" autocorrect=\"off\" virtualkeyboardpolicy=\"manual\"\u003e\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42660217585903,"sku":"9781108722902","price":49.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781108722902.jpg?v=1649164235"},{"product_id":"quasi-interpolation","title":"Quasi-Interpolation","description":"\u003cdiv id=\"m_excelWebRenderer_ewaCtl_headerDiv\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_formulaBar\" class=\"ewa-fb-nb\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb drop-down\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb-text-box\" wrap=\"virtual\" spellcheck=\"false\" role=\"textbox\" id=\"formulaBarTextDivId\" aria-label=\"formula bar\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" autocorrect=\"off\" contenteditable=\"false\"\u003eQuasi-interpolation is one of the most useful and often applied methods for the approximation of functions and data in mathematics and applications. Its advantages are manifold: quasi-interpolants are able to approximate in any number of dimensions, they are efficient and relatively easy to formulate for scattered and meshed nodes and for any number of data. This book provides an introduction into the field for graduate students and researchers, outlining all the mathematical background and methods of implementation. The mathematical analysis of quasi-interpolation is given in three directions, namely on the basis (spline spaces, radial basis functions) from which the approximation is taken, on the form and computation of the quasi-interpolants (point evaluations, averages, least squares), and on the mathematical properties (existence, locality, convergence questions, precision). Learn which type of quasi-interpolation to use in different contexts and how to optimise its features to suit applications in physics and engineering.\u003cspan data-mce-fragment=\"1\"\u003e\u003c\/span\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_clientAreaDiv\" class=\"ewa-clientarea ewa-clientarea-read\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_fieldManagerPane_m_root\" class=\"ewa-flp-ltr ewa-flp-border-ltr\" data-cssfile=\"https:\/\/c1h-excel-15.cdn.office.net:443\/x\/s\/h12FB3F86BFB2BC62__layouts\/Resources\/2057\/FieldListPane.css\" dir=\"ltr\" data-mce-fragment=\"1\"\u003e\u003cbr data-mce-fragment=\"1\"\u003e\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_contentAreaDiv\" role=\"main\" class=\"ewa-contentarea\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-gridKeyHandler\" role=\"textbox\" spellcheck=\"false\" autocomplete=\"false\" id=\"gridKeyboardContentEditable\" aria-label=\"grid\" inputmode=\"text\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" contenteditable=\"true\" autocorrect=\"off\" virtualkeyboardpolicy=\"manual\"\u003e\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42660217782511,"sku":"9781107072633","price":69.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781107072633.jpg?v=1649163575"},{"product_id":"topological-data-analysis-with-applications","title":"Topological Data Analysis with Applications","description":"\u003cdiv id=\"m_excelWebRenderer_ewaCtl_headerDiv\"\u003e\n\u003cdiv class=\"ewa-fb-nb\" id=\"m_excelWebRenderer_ewaCtl_m_formulaBar\"\u003e\n\u003cdiv class=\"ewa-fb drop-down\"\u003e\n\u003cdiv aria-label=\"formula bar\" id=\"formulaBarTextDivId\" role=\"textbox\" spellcheck=\"false\" wrap=\"virtual\" class=\"ewa-fb-text-box\" tabindex=\"0\" contenteditable=\"false\" autocorrect=\"off\"\u003eThe continued and dramatic rise in the size of data sets has meant that new methods are required to model and analyze them. This timely account introduces topological data analysis (TDA), a method for modeling data by geometric objects, namely graphs and their higher-dimensional versions: simplicial complexes. The authors outline the necessary background material on topology and data philosophy for newcomers, while more complex concepts are highlighted for advanced learners. The book covers all the main TDA techniques, including persistent homology, cohomology, and Mapper. The final section focuses on the diverse applications of TDA, examining a number of case studies drawn from monitoring the progression of infectious diseases to the study of motion capture data. Mathematicians moving into data science, as well as data scientists or computer scientists seeking to understand this new area, will appreciate this self-contained resource which explains the underlying technology and how it can be used.\u003cspan\u003e\u003c\/span\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003cdiv class=\"ewa-clientarea ewa-clientarea-read\" id=\"m_excelWebRenderer_ewaCtl_clientAreaDiv\"\u003e\n\u003cdiv dir=\"ltr\" data-cssfile=\"https:\/\/c1h-excel-15.cdn.office.net:443\/x\/s\/h12FB3F86BFB2BC62__layouts\/Resources\/2057\/FieldListPane.css\" class=\"ewa-flp-ltr ewa-flp-border-ltr\" id=\"m_excelWebRenderer_ewaCtl_m_fieldManagerPane_m_root\"\u003e\u003cbr\u003e\u003c\/div\u003e\n\u003cdiv class=\"ewa-contentarea\" role=\"main\" id=\"m_excelWebRenderer_ewaCtl_contentAreaDiv\"\u003e\n\u003cdiv inputmode=\"text\" aria-label=\"grid\" id=\"gridKeyboardContentEditable\" autocomplete=\"false\" spellcheck=\"false\" role=\"textbox\" class=\"ewa-gridKeyHandler\" tabindex=\"0\" virtualkeyboardpolicy=\"manual\" autocorrect=\"off\" contenteditable=\"true\"\u003e\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42660218044655,"sku":"9781108838658","price":39.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781108838658.jpg?v=1649164751"},{"product_id":"introductory-incompressible-fluid-mechanics","title":"Introductory Incompressible Fluid Mechanics","description":"\u003cdiv id=\"m_excelWebRenderer_ewaCtl_headerDiv\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_formulaBar\" class=\"ewa-fb-nb\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb drop-down\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb-text-box\" wrap=\"virtual\" spellcheck=\"false\" role=\"textbox\" id=\"formulaBarTextDivId\" aria-label=\"formula bar\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" autocorrect=\"off\" contenteditable=\"false\"\u003eThis introduction to the mathematics of incompressible fluid mechanics and its applications keeps prerequisites to a minimum – only a background knowledge in multivariable calculus and differential equations is required. Part One covers inviscid fluid mechanics, guiding readers from the very basics of how to represent fluid flows through to the incompressible Euler equations and many real-world applications. Part Two covers viscous fluid mechanics, from the stress\/rate of strain relation to deriving the incompressible Navier-Stokes equations, through to Beltrami flows, the Reynolds number, Stokes flows, lubrication theory and boundary layers. Also included is a self-contained guide on the global existence of solutions to the incompressible Navier-Stokes equations. Students can test their understanding on 100 progressively structured exercises and look beyond the scope of the text with carefully selected mini-projects. Based on the authors' extensive teaching experience, this is a valuable resource for undergraduate and graduate students across mathematics, science, and engineering.\u003cspan data-mce-fragment=\"1\"\u003e\u003c\/span\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_clientAreaDiv\" class=\"ewa-clientarea ewa-clientarea-read\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_fieldManagerPane_m_root\" class=\"ewa-flp-ltr ewa-flp-border-ltr\" data-cssfile=\"https:\/\/c1h-excel-15.cdn.office.net:443\/x\/s\/h12FB3F86BFB2BC62__layouts\/Resources\/2057\/FieldListPane.css\" dir=\"ltr\" data-mce-fragment=\"1\"\u003e\u003cbr data-mce-fragment=\"1\"\u003e\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_contentAreaDiv\" role=\"main\" class=\"ewa-contentarea\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-gridKeyHandler\" role=\"textbox\" spellcheck=\"false\" autocomplete=\"false\" id=\"gridKeyboardContentEditable\" aria-label=\"grid\" inputmode=\"text\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" contenteditable=\"true\" autocorrect=\"off\" virtualkeyboardpolicy=\"manual\"\u003e\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42660218241263,"sku":"9781009074704","price":34.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781009074704.jpg?v=1649159637"},{"product_id":"thinking-probabilistically","title":"Thinking Probabilistically","description":"Probability theory has diverse applications in a plethora of fields, including physics, engineering, computer science, chemistry, biology and economics. This book will familiarize students with various applications of probability theory, stochastic modeling and random processes, using examples from all these disciplines and more. The reader learns via case studies and begins to recognize the sort of problems that are best tackled probabilistically. The emphasis is on conceptual understanding, the development of intuition and gaining insight, keeping technicalities to a minimum. Nevertheless, a glimpse into the depth of the topics is provided, preparing students for more specialized texts while assuming only an undergraduate-level background in mathematics. The wide range of areas covered - never before discussed together in a unified fashion – includes Markov processes and random walks, Langevin and Fokker–Planck equations, noise, generalized central limit theorem and extreme values statistics, random matrix theory and percolation theory.\u003cbr data-mce-fragment=\"1\"\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42660220895471,"sku":"9781108789981","price":41.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781108789981.jpg?v=1649164437"},{"product_id":"linear-algebra-and-learning-from-data","title":"Linear Algebra and Learning from Data","description":"\u003cdiv id=\"m_excelWebRenderer_ewaCtl_headerDiv\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_formulaBar\" class=\"ewa-fb-nb\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb drop-down\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-fb-text-box\" wrap=\"virtual\" spellcheck=\"false\" role=\"textbox\" id=\"formulaBarTextDivId\" aria-label=\"formula bar\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" autocorrect=\"off\" contenteditable=\"false\"\u003eLinear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation.\u003cspan data-mce-fragment=\"1\"\u003e\u003c\/span\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_clientAreaDiv\" class=\"ewa-clientarea ewa-clientarea-read\" data-mce-fragment=\"1\"\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_m_fieldManagerPane_m_root\" class=\"ewa-flp-ltr ewa-flp-border-ltr\" data-cssfile=\"https:\/\/c1h-excel-15.cdn.office.net:443\/x\/s\/h12FB3F86BFB2BC62__layouts\/Resources\/2057\/FieldListPane.css\" dir=\"ltr\" data-mce-fragment=\"1\"\u003e\u003cbr data-mce-fragment=\"1\"\u003e\u003c\/div\u003e\n\u003cdiv id=\"m_excelWebRenderer_ewaCtl_contentAreaDiv\" role=\"main\" class=\"ewa-contentarea\" data-mce-fragment=\"1\"\u003e\n\u003cdiv class=\"ewa-gridKeyHandler\" role=\"textbox\" spellcheck=\"false\" autocomplete=\"false\" id=\"gridKeyboardContentEditable\" aria-label=\"grid\" inputmode=\"text\" tabindex=\"0\" data-mce-fragment=\"1\" data-mce-tabindex=\"0\" contenteditable=\"true\" autocorrect=\"off\" virtualkeyboardpolicy=\"manual\"\u003e\u003c\/div\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42660318478575,"sku":"9780692196380","price":62.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9780692196380.jpg?v=1649159417"},{"product_id":"nonlinear-dispersive-waves","title":"Nonlinear Dispersive Waves","description":"\u003cp\u003eThe field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg–de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.\u003c\/p\u003e","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42673955963119,"sku":"9781107664104","price":47.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781107664104i.jpg?v=1649427176"},{"product_id":"a-first-course-in-computational-fluid-dynamics","title":"A First Course in Computational Fluid Dynamics","description":"Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics.","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42673956618479,"sku":"9781316630969","price":48.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781316630969i.jpg?v=1649429682"},{"product_id":"introduction-to-applied-linear-algebra","title":"Introduction to Applied Linear Algebra","description":"This groundbreaking textbook combines straightforward explanations with a wealth of practical examples to offer an innovative approach to teaching linear algebra. Requiring no prior knowledge of the subject, it covers the aspects of linear algebra - vectors, matrices, and least squares - that are needed for engineering applications, discussing examples across data science, machine learning and artificial intelligence, signal and image processing, tomography, navigation, control, and finance. The numerous practical exercises throughout allow students to test their understanding and translate their knowledge into solving real-world problems, with lecture slides, additional computational exercises in Julia and MATLAB®, and data sets accompanying the book online. Suitable for both one-semester and one-quarter courses, as well as self-study, this self-contained text provides beginning students with the foundation they need to progress to more advanced study.","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42673960845551,"sku":"9781316518960","price":38.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781316518960i.jpg?v=1649428045"},{"product_id":"a-course-of-modern-analysis","title":"A Course of Modern Analysis","description":"This classic work has been a unique resource for thousands of mathematicians, scientists and engineers since its first appearance in 1902. Never out of print, its continuing value lies in its thorough and exhaustive treatment of special functions of mathematical physics and the analysis of differential equations from which they emerge. The book also is of historical value as it was the first book in English to introduce the then modern methods of complex analysis. This fifth edition preserves the style and content of the original, but it has been supplemented with more recent results and references where appropriate. All the formulas have been checked and many corrections made. A complete bibliographical search has been conducted to present the references in modern form for ease of use. A new foreword by Professor S.J. Patterson sketches the circumstances of the book's genesis and explains the reasons for its longevity. A welcome addition to any mathematician's bookshelf, this will allow a whole new generation to experience the beauty contained in this text.","brand":"Cambridge University Press Bookshop","offers":[{"title":"Default Title","offer_id":42673962090735,"sku":"9781316518939","price":59.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0475\/2031\/7597\/products\/9781316518939i.jpg?v=1649429315"},{"product_id":"elements-of-numerical-analysis","title":"Elements of Numerical Analysis","description":"Numerical analysis deals with the manipulation of numbers to solve a particular problem. This book discusses in detail the creation, analysis and implementation of algorithms to solve the problems of continuous mathematics. An input is provided in the form of numerical data or it is generated as required by the system to solve a mathematical problem. Subsequently, this input is processed through arithmetic operations together with logical operations in a systematic manner and an output is produced in the form of numbers. Covering the fundamentals of numerical analysis and its applications in one volume, this book offers detailed discussion on relevant topics including difference equations, Fourier series, discrete Fourier transforms and finite element methods. In addition, the important concepts of integral equations, Chebyshev Approximation and Eigen Values of Symmetric Matrices are elaborated upon in separate chapters. 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