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Mathematics and Theoretical Physics


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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.







Mechanics of Solids and Fluids


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from reviews of the first edition "This book is a comprehensive treatise... with a significant application to structural mechanics_ the author has provided sufficient applications of the theoretical principles_ such a connection between theory and application is a common theme and quite an attractive feature._ The book is a unique volume which contains information not easily found throughout the related literature." _ APPL. MECH. REV. This text, suitable for courses on fluid and solid mechanics, continuum mechanics, and strength of materials, offers a unified presentation of the theories and practical principles common to all branches of solid and fluid mechanics. For the student, each chapter proceeds from basic material to advanced topics usually covered at the graduate level. The presentation is self -contained, the only prerequisites are the basic algebra and analysis that are usually taught in the first and second years of an undergraduate engineering curriculum. Extensive problem sets, new in this edition, make the text more useful than before. For the practicing engineer, Mechanics of Solids and Fluids provides an up-to-date synopsis of the principles of solid and fluid mechanics combined with illustrative examples. The conservation laws for mass, momentum and energy are considered for both material and control volumes. The discussion of elastostatics includes thermal stress analysis and is extended to linear viscoelasticity by means of the correspondence principle. The Ritz-




Chemical Abstracts


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Journal of the American Chemical Society


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Proceedings of the Society are included in v. 1-59, 1879-1937.




Mechanical Systems, Classical Models


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As it was already seen in the first volume of the present book, its guideline is precisely the mathematical model of mechanics. The classical models which we refer to are in fact models based on the Newtonian model of mechanics, on its five principles, i. e. : the inertia, the forces action, the action and reaction, the parallelogram and the initial conditions principle, respectively. Other models, e. g. , the model of attraction forces between the particles of a discrete mechanical system, are part of the considered Newtonian model. Kepler’s laws brilliantly verify this model in case of velocities much smaller than the light velocity in vacuum. The non-classical models are relativistic and quantic. Mechanics has as object of study mechanical systems. The first volume of this book dealt with particle dynamics. The present one deals with discrete mechanical systems for particles in a number greater than the unity, as well as with continuous mechanical systems. We put in evidence the difference between these models, as well as the specificity of the corresponding studies; the generality of the proofs and of the corresponding computations yields a common form of the obtained mechanical results for both discrete and continuous systems. We mention the thoroughness by which the dynamics of the rigid solid with a fixed point has been presented. The discrete or continuous mechanical systems can be non-deformable (e. g.




Elements of Hydraulics


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