Engineering Mathematics and Operations Research – serie

2020 Taylor & Francis Award Winner for Outstanding New Textbook!Featuring recent advances in the field, this new textbook presents probability and statistics, and their applications in stochastic processes. This book presents key information for understanding the essential aspects of basic probability theory and concepts of reliability as an application. The purpose of this book is to provide an option in this field that combines these areas in one book, balances both theory and practical applications, and also keeps the practitioners in mind.Features Includes numerous examples using current technologies with applications in various fields of study Offers many practical applications of probability in queueing models, all of which are related to the appropriate stochastic processes (continuous time such as waiting time, and fuzzy and discrete time like the classic Gambler’s Ruin Problem) Presents different current topics like probability distributions used in real-world applications of statistics such as climate control and pollution Different types of computer software such as MATLAB®, Minitab, MS Excel, and R as options for illustration, programing and calculation purposes and data analysis Covers reliability and its application in network queues

2020 Taylor & Francis Award Winner for Outstanding New Textbook!Featuring recent advances in the field, this new textbook presents probability and statistics, and their applications in stochastic processes. This book presents key information for understanding the essential aspects of basic probability theory and concepts of reliability as an application. The purpose of this book is to provide an option in this field that combines these areas in one book, balances both theory and practical applications, and also keeps the practitioners in mind.Features Includes numerous examples using current technologies with applications in various fields of study Offers many practical applications of probability in queueing models, all of which are related to the appropriate stochastic processes (continuous time such as waiting time, and fuzzy and discrete time like the classic Gambler’s Ruin Problem) Presents different current topics like probability distributions used in real-world applications of statistics such as climate control and pollution Different types of computer software such as MATLAB®, Minitab, MS Excel, and R as options for illustration, programing and calculation purposes and data analysis Covers reliability and its application in network queues

Currently, the techniques of operation research are widely used in every aspect of day-to-day life. This book discusses a variety of problems that arise in various businesses and develops mathematical theories as well as technology answers to solve them from an industry perspective.Optimization Techniques and Associated Applications incorporates cutting-edge methods for locating early workable answers to an optimization challenge and acts as a road map for creating a catastrophe management paradigm that is sustainable. This book offers numerical methods for resolving mathematical issues that can be found in numerous sectors and includes specific case studies of actual industrial optimization applications. The uncertainty that arises in various businesses is explored and new and recently developed techniques are discussed.Because this book primarily focuses on operations research and solutions to the challenges across a variety of disciplines, the audience is expansive and can include professionals, students, and researchers from mathematics as well as engineers from industrial engineering, computer science, information technology, mechanical, civil, electrical, petroleum, chemical, aerospace, aviation, meteorology, disaster management, and other departments.

Mathematics plays a central role in modern culture, and a basic understanding of the nature of mathematics is required for scientific literacy. This new textbook will prepare readers to continue to develop analytical and numerical skills through the study of a variety of mathematical techniques. The statistical element of this textbook enhances the readers’ ability to organize and interpret data. Most of the topics covered in this textbook are widely used in various areas of engineering, including industrial engineering, to analyze complex systems, optimize processes and make informed decisions to improve efficiency, productivity and reliability in various industrial settings.From the complexities of double integration and ordinary differential equations to the complexities of linear systems of differential equations, Fourier series and Laplace transform, Foundation Engineering Mathematics unfolds with careful attention to detail, offering readers a structured approach to mastering these fundamental topics. Each chapter book is carefully presented to provide a balance between theoretical foundations and practical applications, ensuring that readers not only grasp the underlying principles but also appreciate their relevance in real-world engineering scenarios. Each chapter is accompanied by practical examples, illustrative diagrams and engineering applications to reinforce understanding and demonstrate the relevance of mathematical concepts in engineering practice.Whether you're a student embarking on your journey into the world of mathematics or a experienced engineer seeking to deepen your understanding of mathematical concepts, this book serves as an invaluable resource, guiding you through the complexities of mathematical theory and its engineering applications.A solutions manual and a set of PowerPoint slides are available for qualified textbook adoptions.

Mathematics plays a central role in modern culture, and a basic understanding of the nature of mathematics is required for scientific literacy. This new textbook will prepare readers to continue to develop analytical and numerical skills through the study of a variety of mathematical techniques. The statistical element of this textbook enhances the readers’ ability to organize and interpret data. Most of the topics covered in this textbook are widely used in various areas of engineering, including industrial engineering, to analyze complex systems, optimize processes and make informed decisions to improve efficiency, productivity and reliability in various industrial settings.From the complexities of double integration and ordinary differential equations to the complexities of linear systems of differential equations, Fourier series and Laplace transform, Foundation Engineering Mathematics unfolds with careful attention to detail, offering readers a structured approach to mastering these fundamental topics. Each chapter book is carefully presented to provide a balance between theoretical foundations and practical applications, ensuring that readers not only grasp the underlying principles but also appreciate their relevance in real-world engineering scenarios. Each chapter is accompanied by practical examples, illustrative diagrams and engineering applications to reinforce understanding and demonstrate the relevance of mathematical concepts in engineering practice.Whether you're a student embarking on your journey into the world of mathematics or a experienced engineer seeking to deepen your understanding of mathematical concepts, this book serves as an invaluable resource, guiding you through the complexities of mathematical theory and its engineering applications.A solutions manual and a set of PowerPoint slides are available for qualified textbook adoptions.