Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science. The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs. The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.
Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science. The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs. The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.
This book provides a hands-on introduction to runtime verification which guides the reader from zero to sufficient practical knowledge required to consider and apply it in industry. It starts with almost no assumptions on the knowledge of the reader and provides exercises throughout the book through which the reader builds their own runtime verification tool. All that is required are basic programming skills and a good working knowledge of the object-oriented paradigm, ideally Java. Drawing from years of the authors' real-world experience, the reader progresses from manually writing runtime verification code to instrumenting monitoring using aspect-oriented programming, after which they explore increasing levels of specification abstraction: automata, regular expressions, and linear time temporal logic. A range of other topics is also explored in the book, including real-time properties, concerns of efficiency and persistence, integration with testing and architectural considerations. The book is written for graduate students specializing in software engineering as well as for industry professionals who need an introduction to the topic of runtime verification. While the book focuses on underlying foundations and practical techniques, it additionally provides for each chapter a reading list in the appendix for the interested reader who would like to deepen their knowledge in a particular area.
Multicultural Psychology introduces students to the myriad ways in which multicultural issues affect our understanding of, and research in, a wide range of domains including biological, developmental, social, and clinical psychological science. It provides in-depth coverage of the largest groups of color in the United States: African Americans, Latinx Americans, Asian Pacific Americans, and Native Americans. Students will gain an understanding of how race, ethnicity, and culture shape their own behavior, beliefs, interactions, and expectations, and those of the people around them. New to this edition: -New chapters on Clinical Psychology and Racial/Ethnic Identity and Acculturation -Greater focus on study of intersectional identities -Incorporates up-to-date research from a rapidly growing literature -Expanded coverage of qualitative research methods -Information about supplemental blog and video resources -Companion Website where students will find review questions and resource links, and instructors will find PowerPoint slides and discussion questions
The world's human population now constitutes the largest driving force of changes to the biosphere. Emerging water challenges require new ideas for governance and management of water resources in the context of rapid global change. This book presents a new approach to water resources, addressing global sustainability and focusing on socio-ecological resilience to changes. Topics covered include the risks of unexpected change, human impacts and dependence on global water, the prospects for feeding the world's population by 2050, and a pathway for the future. The book's innovative and integrated approach links green and blue freshwater with terrestrial and aquatic ecosystem functions and use. It also links changes arising from land-use alteration with the impacts of those changes on social-ecological systems and ecosystem services. This is an important, state-of-the-art resource for academic researchers and water resource professionals, and a key reference for graduate students studying water resource governance and management.
Medical and mental health professionals who treat children and adolescents are frequently asked to evaluate and treat an Attention-Deficit/Hyperactivity Disorder (ADHD). This book presents information that will assist professionals in this process. The reader will learn about the causes of ADHD, how to accurately diagnose ADHD, and methods to evaluate potential coexisting disorders that often accompany this condition. Professionals reading this book will gain a thorough understanding of empirically based treatments that work for ADHD. A number of case studies illustrating the assessment and treatment of ADHD are presented. Mental health professionals who are looking to increase their revenue may be interested in this book given the growing need for qualified providers who can provide assessment and treatment services for this population.
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