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This book presents mathematical tools to solve partial differential equations, typical of physical problems. It explains in a detailed manner the process of solving the problems that typically arise in the context of physics. Although there are a large number of textbooks on this topic, few go so deep into the topic. One of the original and unique features of this book is emphasis on the mathematical formulation of the problems, as well as the analysis of several alternative ways to solve them. Importantly, the book provides a graphical analysis of the results when appropriate. It describes a wide scope of the problems, with detailed solutions and the methods involved, ranging from cases in one to three dimensions, from Cartesian to polar, cylindrical, and spherical coordinates and includes properties and applications of the Fourier transform to solve partial differential equations.
This title focuses on the comprehension of the properties of water in foods, enriched by the approaches from polymer and materials sciences, and by the advances of analytical techniques. The International Symposium on the Properties of Water (ISOPOW) promotes the exchange of knowledge between scientists involved in the study of food materials and scientists interested in water from a more basic point of view and the dialogue between academic and industrial scientists/technologists. This comprehensive book covers the topics presented at the 10th ISOPOW held in Bangkok, Thailand in 2007, including water dynamics in various systems, the role of water in functional food and nano-structured biomaterials. Special features include: Latest findings in the properties of water in food, pharmaceutical and biological systems Coverage of the 10th International Symposium on the Properties of Water (ISOPOW) Includes water dynamics, water in foods stability, and water in micro and nano-structured food and biomaterials Reflects the vast array of research and applications of water world wide
Globally there is a burden of approximately 1, 70,000 new cases of cleft lip and palate every year, yet there is no single comprehensive resource on this problem. This surgical atlas fills the gap in the knowledge of appropriately handling cleft palate cases; from Primary repair to management of palatal fistula. This pictorial resource has been compiled and edited by an expert who operates one of the highest cleft lip and palate correction programs in the world and his team has performed more than 44,000 surgeries, restoring Smile and good speech to thousands of patients across the globe. It covers all variants and different types of cleft palate cases, including both primary cases as well as in previously operated cases. It starts with an in-depth elaboration on anatomy, physiology, and pathology of the (normal) palate and cleft palate, moving towards classification and identification of different types of palatal fistula and their management with the help of clear flow charts and simple algorithms, enabling better diagnosis and decision making. With over 1500 high definition colored images and hand-drawn sketches, this atlas provides a detailed description of diagnosis, problems and the management of each and every type of cleft palate and palatal fistulae. . The underlying objective of such surgeries is to best restore a barrier between the nasal and oral cavities. and better speech production, which is highlighted amply in each chapter. This atlas is a valuable resource for all plastic surgeons, pediatric surgeons, maxillofacial surgeons, ENT surgeons and other medical professionals involved in cleft lip and palate surgeries.
"The fourth edition of Elements of Chemical Reaction Engineering is a completely revised version of the book. It combines authoritative coverage of the principles of chemical reaction engineering with an unsurpassed focus on critical thinking and creative problem solving, employing open-ended questions and stressing the Socratic method. Clear and organized, it integrates text, visuals, and computer simulations to help readers solve even the most challenging problems through reasoning, rather than by memorizing equations."--BOOK JACKET.