Simply Circular

A comprehensive textbook that provides a complete view of data structures and algorithms for engineering students using Python.

This book is an account of the important influence on the development of mathematical logic of Charles S. Peirce and his student O.H. Mitchell, through the work of Ernst Schröder, Leopold Löwenheim, and Thoralf Skolem. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.

This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.

Adding another volume, even if only a slim one, to the technical books already published requires some justification. Mine is, firstly, that plate theory is not well represented in the available elementary texts, and secondly that no existing text adequately covers modern applications. The present account is intended to be elementary (though this is a relative term) while still providing stimulation and worthwhile experience for the reader. Special features of interest will I hope be the treatment of geometry of surfaces and the attempts around the end of the work to speculate a little. The detailed treatment of geometry of surfaces has been placed in an appendix where it can readily be referred to by the reader. My interest in plate theory extends back many years to the energetic and stimulating discussions with my supervisor, Professor R. W. Tiffen, at Birkbeck College, London, and a debt to him remains. Interest was rekindled for me by Dr R. E. Melchers when I supervised him in Cambridge some ten years ago, and more recently my stay at Strathclyde University and encouragement and stimulation in the Civil Engineering Department led me to undertake the present work. The typescript was prepared by Ms Catherine Drummond and I thank her warmly for this and other assistance, always cheerfully offered. My thanks also to the publishers and the referees for useful comments and advice. P.G.L.