This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University and Igor Sikorsky Kyiv Polytechnic Institute by mathematicians from China, Germany, France, Italy, Spain, Russia, Ukraine and the USA, the book will appeal to mathematicians and engineers working at the interface of these fields

Mathematical methods in engineering are characterized by a wide range of techniques for approaching various problems. Moreover, completely different analysis techniques can be applied to the same problem, which is justified by the difference in specific applications. Therefore, the study of the analyses and solutions of specific problems leads the researcher to generate their own techniques for the analysis of similar problems continuously arising in the process of technical development. Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications contains solutions to specific problems in current areas of computational engineering and cyberphysics.

This book is an introduction to computational mechanics, proceeding from basic computational tools to advanced computational procedures and applications. Emphasis is placed on the numerical techniques and how they form the bases for algorithms. Numerous worked examples in structural mechanics, heat transfer, fluid flow, and biomechanics are given with the numerical codes to illustrate how the methods are applied. A concluding section addresses advanced applications in such areas as finite volume methods and biomechanics.

This monograph provides an overview of the recent developments in modern control systems including new theoretical findings and successful examples of practical implementation of the control theory in different areas of industrial and special applications. Recent Developments in Automatic Control Systems consists of extended versions of selected papers presented at the XXVI International Conference on Automatic Control "Automation 2020" (October 13–15, 2020, Kyiv, Ukraine) which is the main Ukrainian Control Conference organized by the Ukrainian Association on Automatic Control (national member organization of IFAC) and the National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute". This is the third monograph in the River Publishers series in Automation, Control and Robotics based on the selected papers of the Ukrainian Control Conferences "Automation", in particular, the first monograph Control Systems: Theory and Applications (2018) was published based on "Automation – 2017" and the second monograph Advanced Control Systems: Theory and Applications was based on "Automation – 2018". The monograph is divided into three main parts: (a) Advances in Theoretical Research of Control Systems; (b) Advances in Control Systems Application; (c) Recent Developments in Collaborative Automation. The chapters have been structured to provide an easy-to-follow introduction to the topics that are addressed, including the most relevant references, so that anyone interested in this field can get started in the area. This book may be useful for researchers and students who are interesting in recent developments in modern control systems, robust adaptive systems, optimal control, fuzzy control, motion control, identification, modelling, differential games, evolutionary optimization, reliability control, security control, intelligent robotics and cyber–physical systems.

New textbooks at all levels of chemistry appear with great regularity. Some fields like basic biochemistry, organic reaction mechanisms, and chemical thermody namics are well represented by many excellent texts, and new or revised editions are published sufficiently often to keep up with progress in research. However, some areas of chemistry, especially many of those taught at the graduate level, suffer from a real lack of up-to-date textbooks. The most serious needs occur in fields that are rapidly changing. Textbooks in these subjects usually have to be written by scientists actually involved in the research which is advancing the field. It is not often easy to persuade such individuals to set time aside to help spread the knowledge they have accumulated. Our goal, in this series, is to pinpoint areas of chemistry where recent progress has outpaced what is covered in any available textbooks, and then seek out and persuade experts in these fields to produce relatively concise but instructive introductions to their fields. These should serve the needs of one semester or one quarter graduate courses in chemistry and biochemistry. In some cases, the availability of texts in active research areas should help stimulate the creation of new courses. New York, New York CHARLES R. CANTOR Preface This book is not a traditional quantum chemistry textbook. Instead, it represents a concept that has evolved from teaching graduate courses in quantum chemistry over a number of years, and encountering students with diverse backgrounds.

Well-rounded, thorough treatment introduces basic concepts of mathematical physics involved in the study of linear systems, with emphasis on eigenvalues, eigenfunctions, and Green's functions. Topics include discrete and continuous systems and approximation methods. 1960 edition.

Economics, as intellectual discourse, is not a settled body of principles; it is a heterogeneous discipline with numerous traditions, each based on a cluster of theories. Ekelund and Hebert, experienced researchers and educators, balance continuity and consensus in the evolution of economic theory with alternative points of view about the nature, scope, and method of economic inquiry. Their creative approach gives readers a feel for the thought processes of the great minds in economics and underscores key ideas impacting contemporary thought and practice. Building on the solid foundation of previous editions, the fifth edition of A History of Economic Theory and Method presents an updated and expanded examination of the essential theoretical elements of an economy and the numerous institutions that affect market behavior, beginning with the ancient Greeks and ending with the late twentieth century. It features an in-depth interpretation of the transition from classical to neoclassical economic thought, exposes some of the dissident voices raised against classical economic orthodoxy, discusses game theory, takes a close look at the origins of traditional microeconomics, avoids highly technical or graphically complicated material, and examines the advantages and disadvantages of economics achieving a scientific statusapplying mathematical and statistical techniques in economic inquiry. Chapters contain boxed material that enrich touchstone ideas or mark procedural disagreements and alternative approaches to economics.

With this innovative text, the study-and teaching- of probability and random signals becomes simpler, more streamlined, and more effective. Its unique "textgraph" format makes it both student-friendly and instructor-friendly. Pages with a larger typeface form a concise text for basic topics and make ideal transparencies; pages with smaller type provide more detailed explanations and more advanced material.

This original work contains the first detailed account of the natural philosophy of Robert Hooke (1635-1703), leading figure of the early Royal Society. From celestial mechanics to microscopy, from optics to geology and biology, Hooke’s contributions to the Scientific Revolution proved decisive. Focusing separately on partial aspects of Hooke’s works, scholars have hitherto failed to see the unifying idea of the natural philosophy underlying them. Some of his unpublished papers have passed almost unnoticed. Hooke pursued the foundation of a real, mechanical and experimental philosophy, and this book is an attempt to reconstruct it. The book includes a selection of Hooke's unpublished papers. Readers will discover a study of the new science through the works of one of the most known protagonists. Challenging the current views on the scientific life of restoration England, this book sheds new light on the circulation of Baconian ideals and the mechanical philosophy in the early Royal Society. This book is a must-read to anybody interested in Hooke, early modern science or Restoration history.