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This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. Considerable space is given to developing Riemann integration theory in higher dimensions, including a rigorous treatment of Fubini's theorem, polar coordinates and the divergence theorem. These are used in the final chapter to derive Cauchy's formula, which is then applied to prove some of the basic properties of analytic functions. Among the unusual features of this book is the treatment of analytic function theory as an application of ideas and results in real...
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Theories of the stresses of rigid airships are present in terms of primary stresses and secondary stresses along with a number of formulae.
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Rapid Solidification Processing of molten metals and alloys has proved to be a reliable route for producing new and advanced materials. The Chill-Block Melt Spin (CBMS) technique is important because its simplicity, flexibility and perfection. High quality materials can be produced with lower costs, as compared to other routes, by refining the microstructure and trapping the nucleated (new) metastable phases. Melt-spun ribbons subsequently produced can then be consolidated to produce billets and sheets that can be used in many industries especially high-tech industries such as aerospace and racing automobiles. This book contains several perspectives about CBMS technology and should be a useful review for undergraduate and post-graduate metallurgy students.