Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.

Fourth edition sold over 1400 copies in North America. For the fifth edition the chapter on Optimization has been enlarged and the chapters on Probability Theory and Statistics have been carefully revised. Includes over 450 graphs, figures and illustrations. There is an extensive, thoroughly cross-referenced index which lists over 1,400 terms.

Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.

A Concise Handbook of Mathematics, Physics, and Engineering Sciences takes a practical approach to the basic notions, formulas, equations, problems, theorems, methods, and laws that most frequently occur in scientific and engineering applications and university education. The authors pay special attention to issues that many engineers and students

This book is a comprehensive collection of the main mathematical concepts, including definitions, theorems, tables, and formulas, that students of science and engineering will encounter in their studies and later careers. Handbook of Mathematical Concepts and Formulas introduces the latest mathematics in an easily accessible format. It familiarizes readers with key mathematical and logical reasoning, providing clear routes to approach questions and problems. Concepts covered include whole calculus, linear and abstract algebra, as well as analysis, applied math, mathematical statistics, and numerical analysis. The appendices address Mathematica and MATLAB programming, which contain simple programs for educational purposes, alongside more rigorous programs designed to solve problems of more real application.

The primary objective of this book is to offer a review of vector calculus needed for the physical sciences and engineering. This review includes necessary excursions into tensor analysis intended as the reader's first exposure to tensors, making aspects of tensors understandable at the undergraduate level.

Perturbation Methods in Science and Engineering provides the fundamental and advanced topics in perturbation methods in science and engineering, from an application viewpoint. This book bridges the gap between theory and applications, in new as well as classical problems. The engineers and graduate students who read this book will be able to apply their knowledge to a wide range of applications in different engineering disciplines. The book begins with a clear description on limits of mathematics in providing exact solutions and goes on to show how pioneers attempted to search for approximate solutions of unsolvable problems. Through examination of special applications and highlighting many different aspects of science, this text provides an excellent insight into perturbation methods without restricting itself to a particular method. This book is ideal for graduate students in engineering, mathematics, and physical sciences, as well as researchers in dynamic systems.

This book brings together information which is used by engineers, and needed especially by students of engineering, but difficult to find in a collected form. In this respect engineering, perhaps because it is more often divided into separate branches, has so far been less well served than the other physical sciences; we hope to have in part redressed the balance. The contents are designed chiefly for engineering students of all kinds in universities and colleges, but they should also prove useful to practising engineers as a general reference. There was some difficulty in choosing numerical values for parts of the section Properties of Matter. Information was culled from a range of sources which sometimes show an alarming lack of consistency. Given a choice, we have used values which are either average or more likely to be reliable. The degree of tolerance required varies very widely between, for example, the precision to which thermodynamic proper ties of steam are known and the uncertainty in those mechanical properties of solids which depend strongly on quality and preparation. The tables on pages 4-12 inclusive are reproduced from S.M.P. Advanced Tables by permission of Cambridge University Press. The tables on pages 35 and 36 are reproduced from Elementary Statistical Tables: lindley and Miller, h./ permission of Cambridge University Press. The tables on pages 37 and 38 are reproduced by permission of the Biometrika Trustees.

This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.

The book’s general scope covers the latest advances in the development of artificial intelligence systems and their applications in engineering and manufacturing. The book comprises refereed papers presented at the International Symposium on Engineering and Manufacturing (ISEM2021), held in Kyiv, Ukraine, on December 24–26, 2021. Given the rapid development of artificial intelligence systems, the book emphasizes the need for the intensification of training of a growing number of relevant specialists, in particular in engineering and manufacturing, to increase the effectiveness of the creation and diagnosis of appropriate technical solutions. In digital artificial intelligence systems, scientists endeavor to reproduce the innate intellectual abilities of humans and other organisms. In-depth studies of biological and self-organizing systems can provide new approaches to create more and more effective artificial intelligence methods. The topics of the included papers concern thematic materials in the following spheres: mathematics and computer algorithms; analysis of some technical solutions; technological. The book is a compilation of state-of-the-art papers in the field, covering a comprehensive range of subjects that are relevant to business managers and engineering professionals alike. The breadth and depth of these proceedings make them an excellent resource for asset management practitioners, researchers, and academics, as well as undergraduate and postgraduate students interested in artificial intelligence systems and their growing applications. Specialists, students, and other groups of people who want to know how artificial intelligence systems can be used in the future will be the target audience for this book.