The famous equation that bears Erwin Schrödinger's name encapsulates his profound contributions to quantum mechanics using wave mechanics. This third, augmented edition of his papers on the topic contains the six original, famous papers in which Schrödinger created and developed the subject of wave mechanics as published in the original edition. As the author points out, at the time each paper was written the results of the later papers were largely unknown to him. This edition also contains three papers that were written shortly after the original edition was published and four lectures delivered by Schrödinger at the Royal Institution in London in 1928. The papers and lectures in this volume were revised by the author and translated into English, and afford the reader a striking and valuable insight into how wave mechanics developed.

New Edition: Ocean Surface Waves: Their Physics and Prediction (3rd Edition)The book is an extended and updated edition of the book published in 1996 under the same title (World Scientific, ISBN 9810216866). It contains a very comprehensive and extensive study on surface ocean waves induced by wind, earthquakes and possible landslides and asteroids impacts. The basic mathematical principles, physical description of the observed phenomena, practical forecasting techniques of the various wave parameters and extended application in ocean and coastal engineering, are discussed from the stochastic point of view.All chapters were completely rewritten and supplemented with many new discoveries which were published since the first edition in 1996. In particular, new chapters are added on very interesting and contemporary topics such as: wave breaking mechanisms in deep- and shallow water, freak waves, tsunami, water circulation in porous sea bottom induced by surface waves, and waves propagation through mangrove forests.In terms of numerical modeling, the state of the art of the modern methodology of wave prediction models WAM and SWAN, as well as of the high sophisticated satellite methods of waves measurement and modern methods of signal processing, including wavelets approach and Hilbert Transform approach are presented. The book is supplemented with an extended list of relevant and extended, contemporary bibliography, subject index and author index.

This book is an extended and substantially updated edition of the previous book editions published in 1996 and 2013 under the same title. The 3rd edition is a one-volume, modern and comprehensive overview of the current knowledge of regular and random ocean surface waves in deep waters and in coastal zones.Since the previous editions many new theoretical advances have been made in the physical understanding and analytical and numerical treatment of various ocean wave problems. The revisions and supplements demanded by these advances have been substantial, therefore the scope of the book has been extended by adding a new chapter and substantially supplementing others.All chapters of the book have been rewritten to include and describe in detail many new discoveries made since the completion of the previous editions. In this 3rd edition a comprehensive and updated overview of the fundamentals of the regular wave mechanics, as well as the spectral and statistical properties of random waves are given. Except for the updated chapters dedicated to tsunami and extreme waves, a new chapter dealing with other types of impulsive waves starting from rest, are also included.The air-sea interaction processes as well as the last improvements in ocean wave modelling and presently available wave prediction models (WAM, WAVEWATCH III, UMWM, NEMO) are thoroughly discussed and their applications are demonstrated. The review of the present ocean observation methods encompasses the modern sea-truthing, as well as applications of data from presently operating marine satellites.In this revised edition, chapters on the behavior of surface waves in the vegetated environments such as coral reef, mangrove forest, seaweed and seagrass areas are substantially extended and updated to include the last discoveries.The explanations in the book are self-contained and detailed enough to capture the interest of the potential readers and to prompt them to explore the research literature. The list of rapidly growing number of the recent papers on the ocean waves has been extended substantially, up to about 900 titles.

Untangling Molecular Biodiversity presents a unique global framework to explain molecular and organismal biodiversity that is grounded in evolutionary genomics. This book will tackle important questions such as the origin of life, the emergence of biochemistry, the origin of viruses, the nature of the last universal common ancestor responsible for diversified life, the role of information and thermodynamics in evolution, the reason for having three cellular domains in life, and the centrality of modules in biology.This book will explore six themes: (1) Explanatory frameworks for biological organization; (2) Evolutionary patterns and biodiversity; (3) Molecular structure and evolutionary genomics; (4) A framework of persistence strategies that borrows from engineering and systems biology; (5) Use of this framework to explain diversity in the molecular world; and (6) Exploring the origin and evolution of cells and viruses.Consequently, this book represents a very unique collection of ideas that can attract the attention of a broad readership interested in life sciences/biology.

This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales Connects several new areas of dynamic equations on time scales with applications in different fields Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics