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Real Analysis: Measures, Integrals and Applications
Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature. This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It examines the concept of the Hausdorff measure, the properties of the area on smooth and Lipschitz surfaces, the divergence formula, and Laplace's method for finding the asymptotic behavior of integrals. The general theory is then applied to harmonic analysis, geom...
Young Measures and Compactness in Measure Spaces
In recent years, technological progress created a great need for complex mathematical models. Many practical problems can be formulated using optimization theory and they hope to obtain an optimal solution. In most cases, such optimal solution can not be found. So, non-convex optimization problems (arising, e.g., in variational calculus, optimal control, nonlinear evolutions equations) may not possess a classical minimizer because the minimizing sequences have typically rapid oscillations. This behavior requires a relaxation of notion of solution for such problems; often we can obtain such a relaxation by means of Young measures. This monograph is a self-contained book which gathers all theo...
The Vestibular System in Cognitive and Memory Processes in Mammals
Since the beginning of life, all plant and animal kingdoms have been developed or modified based on gravity along with atmospheric composition and solar radiation existing on Earth. Gravity is mainly encoded by the otolithic sensors of the vestibular system but its role has been largely underestimated in favor of the vestibular semicircular canals and reduced to oculomotor and postural coordination. Over the last decade, it has been demonstrated that sensory information provided by the vestibular system is crucial in spatial-memory processes in rats and humans. More recently a role in attention processes has been raised. This topic aims to report and demonstrate the role and integration of vestibular information in cognitive processes in rodent models and human at the behavioral, imaging and electrophysiological levels.
Handbook of Measure Theory
The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the variousareas they contain many special topics and challengingproblems valuable for experts and rich sources of inspiration.Mathematicians from other areas as well as physicists, computerscientists, engineers and econometrists will find useful results andpowerful methods for their research. The reader may find in theHandbook many close relations to other mathematical areas: realanalysis, probability theory, statistics, ergodic theory,functional analysis, potential theory, topology, set theory,geometry, differential equations, optimization, variationalanalysis, decision making and others. The Handbook is a richsource of relevant references to articles, books and lecturenotes and it contains for the reader's convenience an extensivesubject and author index.
ELECTRICAL AND ELECTRONIC MEASUREMENTS
In the modern scientific world, a thorough understanding of complex measurements and instruments is the need of the hour. The second edition of the book provides a comprehensive coverage of the concepts and principles of measurements and instrumentation, and brings into fore the recent and significant developments in this field. The text now offers an exhaustive exposition of different types of measuring instruments and their applications in an easy-to-grasp manner. It presents even the minute details of various measurement techniques and calibration methods, which are the essential features of a measurement programme. The book elaborates on the theoretical background and practical knowledge of different measuring instruments to make the students accustomed to these devices. An in-depth coverage of topics makes the text useful to somewhat more advanced courses and its elaborated methodology will help students meet the challenges in their career. This book is ideally suitable for the undergraduate students of Electrical and Electronics, Electronics and Communication, Electronics and Telecommunication, and Instrumentation and Control disciplines of engineering.
Springer Handbook of Experimental Solid Mechanics
The Springer Handbook of Experimental Solid Mechanics documents both the traditional techniques as well as the new methods for experimental studies of materials, components, and structures. The emergence of new materials and new disciplines, together with the escalating use of on- and off-line computers for rapid data processing and the combined use of experimental and numerical techniques have greatly expanded the capabilities of experimental mechanics. New exciting topics are included on biological materials, MEMS and NEMS, nanoindentation, digital photomechanics, photoacoustic characterization, and atomic force microscopy in experimental solid mechanics. Presenting complete instructions to various areas of experimental solid mechanics, guidance to detailed expositions in important references, and a description of state-of-the-art applications in important technical areas, this thoroughly revised and updated edition is an excellent reference to a widespread academic, industrial, and professional engineering audience.
Assessment, Measurement, and Prediction for Personnel Decisions
Robert Guion’s best seller is now available in this new second edition. This noted book offers a comprehensive and practical view of assessment –based personnel decisions not available elsewhere in a single source. This edition more frankly evaluates the current research and practice and presents challenges that will change the basic thinking about staffing systems. This new edition suggests new directions for research and practice, includes emphasis on modern computers and technology useful in assessment, and pays more attention to prediction of individual growth and globalization challenges in the assessment process. The book will be of interest to faculty and students in Industrial Organizational psychology, human resource management and business. IO psychologists in private business and public sector organizations who have responsibilities for staffing and an interest in measurement and statistics will find this book useful.
