The Kelvin Problem


Book Description

In 1887, Kelvin posed one of the most discussed scientific questions of the last 100 years - the problem of the division of three-dimensional space into cells of equal volume with minimal area. It has interested mathematicians, physical scientists and biologists ever since and the problem has scientific relevance to foams, emulsions and many other kinds of cells. In the 1990s, a more complex structure was discovered by Robert Phelan and Denis Weaire and it remains the best yet found. This text assesses the various merits of Kelvin's structure and of that discovered by Weaire and Phelan. It also looks at the problem of proof that Weaire's structure having minimal area remains open.




Advanced Topics In Scattering Theory And Biomedical Engineering - Proceedings Of The 9th International Workshop On Mathematical Methods In Scattering Theory And Biomedical Engineering


Book Description

This volume of proceedings consists of the papers presented during the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, held in Patras, Greece, on 9-11 October 2009.The book contains papers on scattering theory and biomedical engineering — two rapidly evolving fields which have a considerable impact on today's research. All the papers are state-of-the-art, have been carefully reviewed before publication and the authors are well-known in the scientific community. In addition, some papers focus more on applied mathematics, which provides a solid ground for development and innovative research in scattering and biomedical engineering.




The Pursuit of Perfect Packing


Book Description

Coauthored by one of the creators of the most efficient space packing solution, the Weaire-Phelan structure, The Pursuit of Perfect Packing, Second Edition explores a problem of importance in physics, mathematics, chemistry, biology, and engineering: the packing of structures. Maintaining its mathematical core, this edition continues and rev




Nonlinear Problems in Aviation and Aerospace


Book Description

The study of nonlinear phenomena in aviation and aerospace includes developments in computer technology and the use of nonlinear mathematical models. Nonlinearities are a feature of aircraft dynamics and flight control systems and need to respond to achieve stability and performance. This multiauthor volume comprises selected papers from the confer




STEM Problems with Mathcad and Python


Book Description

Features Suitable for undergraduates and early postgraduates who need simple and accessible guidance for solving practical interdisciplinary technical problems Can be used as an additional textbook in a variety of topics, including Calculus, Linear Algebra, Analytical Geometry, Discrete Mathematics, Computer Science, Computational Mathematics, Scientific Visualization, Computer Graphics Gives computer users access to an exciting new hobby - solving complex problems described in fiction.










Mechanics of Solid Deformable Body


Book Description

This textbook contains sections with fundamental, classical knowledge in solid mechanics, as well as original modern mathematical models to describe the state and behavior of solid deformable bodies. It has original sections with the basics of mathematical modeling in the solid mechanics, material on the basic principles, and features of mathematical formulation of model problems of solid mechanics. For successful mastering of the material, it is necessary to have basic knowledge of the relevant sections of the courses of mathematical analysis, linear algebra and tensor analysis, differential equations, and equations of mathematical physics. Each section contains a list of test questions and exercises to check the level of assimilation of the material. The textbook is intended for senior university students, postgraduates, and research fellows. It can be used in the study of general and special disciplines in various sections of solid mechanics, applied mechanics for students and undergraduates of various specializations and specialties, such as mechanics and mathematical modeling, applied mathematics, solid physics, and engineering mechanics.




Classical and Computational Solid Mechanics


Book Description

This invaluable book has been written for engineers and engineering scientists in a style that is readable, precise, concise, and practical. It gives first priority to the formulation of problems, presenting the classical results as the gold standard, and the numerical approach as a tool for obtaining solutions. The classical part is a revision of the well-known text Foundations of Solid Mechanics, with a much-expanded discussion on the theories of plasticity and large elastic deformation with finite strains. The computational part is all new and is aimed at solving many major linear and nonlinear boundary-value problems.




The Physics of Foams


Book Description

Ordinary foams such as the head of a glass of beer and more exotic ones such as solid metallic foams raise many questions for the physicist and have attracted a substantial research community in recent years. The present book describes the results of extensive experiments, computer simulations, and theories in an authoritative yet informal style, making ample use of illustrations and photographs. As an introduction to the whole field of the physics of foams it puts a strong emphasis on liquids while also including solid foams. Simple, idealized models are adopted and their consequences explored. Specific topics include: structure, drainage, rheology, conductivity, and coarsening. A minimum of mathematics is used. Theory and experiment are described together at every stage. A guide to further reading is provided through carefully selected references. This is a complete and coherent introduction to the subject which no other modern text currently offers.