Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets, including relations, functions, the natural numbers, order, cardinality, transfinite recursion, the...

Typically, undergraduates see real analysis as one of the most difficult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to find a way to bridge the gap between a student’s preparation and the mathematical skills that are required to be successfu...

The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a too...

Come and escape to a world of Malon. The darkness and light have been at war since time began. God saw that one day his Angels couldn't keep the physical realms protected so he created Malon and the people there will be the shield to all life within the Myraisphere. In this story you follow Arthus Arkwright Prince of his world and you will follow as he learns and grows to learn about his people and what God has in store for them all.

Dark networks are the illegal and covert networks (e.g, insurgents, jihadi groups, or drug cartels) that security and intelligence analysts must track and identify to be able to disrupt and dismantle them. This text explains how this can be done by using the Social Network Analysis (SNA) method. Written in an accessible manner, it provides an introduction to SNA, presenting tools and concepts, and showing how SNA can inform the crafting of a wide array of strategies for the tracking and di...

This book presents the transformational progress in next-generation advanced converter circuit topologies based on the unique electrical properties of wide-bandgap semiconductors, including silicon carbide (SiC) and gallium nitride (GaN). It addresses the opportunities for significant advances in power electronics circuit performance opened by the availability of wide-bandgap power devices and the challenges associated with using these devices that must be overcome when applying them. The ...

The lack of effective DC fault protection technology remains a major barrier for the DC paradigm shift. In addressing the key challenges, Direct Current Fault Protection: Basic Concepts and Technology Advances starts with an introduction to the advantages of DC power systems before moving on to an in-depth review of DC fault protection technologies, including mechanical circuit breaker (MCB), solid-state circuit breaker (SSCB), hybrid circuit breaker (HCB), converter based (breake...

Myths have intrigued scholars throughout history. 'Twentieth Century Mythologies' traces the study of myth over the last century, presenting the key theories of mythology and critiquing traditional definitions of myth. The volume presents the work of influential scholars in mythology: the noted Indo-Europeanist Georges Dumezil, the structuralist anthropologist Claude Levi-Strauss, and the historian of religions Mircea Eliade. 'Twentieth Century Mythologies' is an indispensable resource for...

This handbook examines why, how and where creative arts can help meet the social, psychological and occupational needs of people living with dementia and their family carers.Bringing together case studies of music, dance, poetry, digital arts and more, this book explores the core skills needed to co-create inspiring programmes in various settings. Foregrounding the lived experience of people living with dementia and their carers, each chapter showcases best practice, person-centred...

Crime Scene Unit Management: A Path Forward is a must-have resource for anyone involved with forensic investigations and the search for evidence at the crime scene. The book provides standards for how to manage a crime scene so that evidence is collected and preserved without errors and includes guidelines for how to implement the standards and set up regional training programs for smaller jurisdictions with tighter budgets. Key features include examples, checklists, and flow char...

Engagement is trendy. Although paired most often with community, diverse invocations of engagement have gained cache, capturing longstanding shifts toward new practices of knowledge making that both reflect and facilitate multiple ways of being an academic. Engagement functions as a gloss for these shifts—addressing more expansive understandings of where, how, and with whom we research, teach, and partner. This book examines these shifts, locating them within socio-economic trends within a...

Highway Engineering: Planning, Design, and Operations, Second Edition, presents a clear and rigorous exposition of highway engineering concepts, including project development and the relationship between planning, operations, safety and highway types. The book includes important topics such as corridor selection and traverses, horizontal and vertical alignment, design controls, basic roadway design, cross section elements, intersection and interchange design, and the integration of new veh...