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Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas."--BOOK JACKET.
This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.
The papers selected for publication here, many of them written by leaders in the field, bring readers up to date on recent achievements in modern operator theory and applications. The book’s subject matter is of practical use to a wide audience in mathematical and engineering sciences.
The new edition of the popular introductory textbook on numerical approximation methods and mathematical analysis, with a unique emphasis on real-world application An Introduction to Numerical Methods and Analysis helps students gain a solid understanding of a wide range of numerical approximation methods for solving problems of mathematical analysis. Designed for entry-level courses on the subject, this popular textbook maximizes teaching flexibility by first covering basic topics before gradually moving to more advanced material in each chapter and section. Throughout the text, students are provided clear and accessible guidance on a wide range of numerical methods and analysis techniques,...
Seismic Design and Analysis of Tanks A detailed view on the effects of seismic activity on tank structures As the use of above-ground and underground storage tanks (ASTs and USTs) continues to grow—with approximately 545,000 in the USA alone—the greatest threat to ASTs and USTs is earthquakes, causing the contamination of groundwater, a vital source of drinking water throughout the world. These tanks suffer a great deal of strain during an earthquake, as a complicated pattern of stress affects them, such that poorly designed tanks have leaked, buckled, or even collapsed during seismic events. Furthermore, in oil and gas industrial plants, the risk of damage is even more critical due to t...
Myconanotechnology is a highly interdisciplinary science emerging at a fast pace and has garnered the attention of nanotechnologists, mycologists, biomedical experts, and agriculture scientists, among others. For the last decade, there has been tremendous progress in this field owing to its wider and more effective applications. In this book, the authors have attempted to discuss different evolving trends in medicine, food, agriculture, veterinary, environment, and textiles. Globally contributed by eminent authors and experts, the present book contains valuable chapters on the diverse aspects of Myconanotechnology and thus would be essential reading for academicians. This book will cater to the need of postgraduate and research students in fungal biology, microbiology, chemistry, nanotechnology, biotechnology, and pharmacology.
This book presents select proceedings of the 8th International and 29th All India Manufacturing Technology, Design, and Research Conference (AIMTDR 2021). It discusses the latest advances in miniature manufacturing, machining of miniature components, surface engineering, nanomaterials, nanotechnology, industry 4.0, optimization techniques, micro-electric discharge machining, electrochemical micro-machining, thin films, optimization of micro-machining process parameters, machining of nano-composites, characterization using atomic force microscopy, micro tool fabrications, characterization of nano-composites, surface roughness analysis, tribological performance of surface coated materials, and sustainability in manufacturing. The contents of this book are useful for students, researchers, and as well as industry professionals working in the various areas of mechanical engineering.
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