Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory.

his book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as “counting.” The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn’t get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you’ve hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again.

Short Description:
Common Client Issues in Counselling: An Australian Perspective focuses on common mental health issues, such as grief and loss, anxiety, and depression, experienced by clients presenting for counselling. The focus throughout is on providing an Australian perspective, highlighting contemporary understandings, as well as suggesting practical and integrative responses to each common issue. All of the authors, reviewers, and editors work within Australian counselling settings, including private practice, not for profit organisations and academic contexts. By drawing on the authors’ extensive experience, and using a contextual rather than diagnostic approach, each chapter is brought to life with valuable insights and suggestions.

Word Count: 109287

ISBN: 978-0-6456796-0-1

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The Commons: Tools for Reading, Writing, and Rhetoric gives instructors and students of college writing courses a single source for information on metacognitive critical reading, rhetorical awareness, and MLA formatting basics as well as interesting and relevant reading and viewing content. Its approach is interdisciplinary, bringing in material from ecology, sociology, psychology, technology, popular culture, political science, cultural studies, and literature. Each essay, website, video, infographic, and poem has been carefully chosen to speak to the Eastern Kentucky University community, but everyone can find something that speaks to our common human experience and our need to communicate and connect with one another.

Communicating Fashion offers a holistic view of the interrelationships involved in trend research, including data collection, analysis and reporting, and forecasting what that direction means for design. The book’s primary focus is on the process of observing and collecting desk and field data to understand interrelationships among products, user experience, and contextual factors.

These resources will prepare culturally and linguistically diverse students for academic study in situations involving intercultural communication.

This textbook is designed for beginning-intermediate English language learners. It is composed of 7 chapters, each of which covers specific speaking and listening learning objectives and includes dialogues, interviews, discussions and conversation activities. Each chapter includes listening and speaking components such as dialogues, interviews, discussions and conversation activities. Each chapter also focuses on 10 target words from the New General Service List of English vocabulary. The textbook includes an audio component that consists of recorded conversations of native and non-native English speakers, as well as links to additional listening resources on the web.

Communication in the Real World: An Introduction to Communication Studies overviews the time-tested conceptual foundations of the field, while incorporating the latest research and cutting-edge applications of these basics. Each chapter will include timely, concrete, and real-life examples of communication concepts in action. A key feature of this book is the integration of content regarding diversity and organizational communication in each chapter through examples and/or discrete sub-sections. Discussions of diversity are not relegated to feature boxes. Also integrated into the content are examples that are inclusive in terms of race, gender, sexuality, ability, age, marital status, religion, and other diverse identity characteristics.

This reader is an Open Educational Resource, meant to accompany a graduate or higher-level undergraduate university course in climate change resilience, adaptation, and/or planning. While the material is geared toward students in urban and regional planning, it may also be of interest to students of urban studies, public health, geography, political science, sociology, risk management, and others.

The rate of obesity continues to climb in the United States in all age groups. National reports, including the Trust for America’s Health annual report State of Obesity: Better Policies for a Healthier America, highlight key findings and policy recommendations. The need to continue to work towards stabilization of the obesity epidemic could not be more important as consequences of this chronic disease can be dire, potentially affecting physical health with an increase in risk for chronic diseases including cardiovascular disease, type 2 diabetes and several types of cancer as well as potentially affecting behavioral health. Curbing the high rates of obesity is particularly of importance when considering the prevalence of childhood obesity, which is on the rise not only in the United States but is also increasing globally. Although there are certain risk factors such as genetics that are not modifiable in this group, there are many dietary, physical activity and environmental factors that are modifiable through lifestyle changes. This course will explore ways to address these lifestyle changes for children through adults with both federally- and NGO- based community interventions that are working towards combating overweight and obesity and how they aim to do so with a health equity lens in mind.

The introductions in this anthology are meant to be just that: a basic overview of what students need to know before they begin reading, with topics that students can research further. An open access literature textbook cannot be a history book at the same time, but history is the great companion of literature: The more history students know, the easier it is for them to interpret literature.

The Compact Anthology of World Literature, Parts 4, 5, and 6 is designed as an e-book to be accessible on a variety of devices: smart phone, tablet, e-reader, laptop, or desktop computer. Students have reported ease of accessibility and readability on all these devices.

Comparative Politics: A Practical Guide for a Globalizing World is perhaps the first introductory textbook in comparative politics to be written with an emphasis on case studies from the Global South and other alternative perspectives. It was inspired by my own experience as a student and professor who had the privilege to live, learn, and work in places as diverse as Bangladesh, Egypt, and Germany. My experience in each country provided an important contribution to my own understanding of political science, perhaps in more important ways than my formal political science education. It was written with the belief that political science has focused too heavily on developing theories and models based primarily on the “Western” world to the detriment of both the discipline as well as students. 21st century students are learning and living in an increasingly globalized world in which traditional notions of statehood, development, elections, and more are rapidly changing and facing deep contestation. Following the calls to “decolonize” its sister discipline, International Relations, it is both timely and imperative that comparative politics follows suit. While traditional approaches offer important lessons about the nature of government and political processes, this text believes that the Global South has much to offer in the way of what politics looks like in the face of social unrest, increasing inequality, disputed legitimacy, climate change and other 21st century challenges that the Global North can no longer ignore. Another unique aspect of this textbook is that it contains contributions from students from Colorado Mesa University, a rural institution in Western Colorado primarily focused on undergraduate and first-generation education, with edits and additions from myself. Therefore, this book is written both by and for students of first-generation and minority-serving institutions.

POLS 261 Course Description: In this course, we will explore contemporary comparative politics. Comparative politics is the study of different political systems outside of the United States, with the goal of comparing these different systems in order to better understand the advantages and disadvantages of how various political systems are designed. We will focus on several questions that have been central to this sub-field of political science including democratization and democratic stability, how states vary in their political institutions on a constitutional, electoral, administrative, and party level, and what explains the persistence of ethnicity and causes of civil conflict. Students will use cases from various global regions and employ comparative research methods.

This textbook is designed for the novice learner who is seeking to develop a foundational understanding of the complete subjective health assessment in the context of health and illness. The textbook deconstructs the categories of the complete subjective health assessment, providing learners with explanations and examples of what constitutes relevant subjective data. This textbook provides an opportunity to learn how to respond to normal, abnormal, and critical findings when completing a complete subjective health assessment

Short Description:
This textbook is designed for the novice learner who is seeking to develop a foundational understanding of the complete subjective health assessment in the context of health and illness. The textbook deconstructs the categories of the complete subjective health assessment, providing learners with explanations and examples of what constitutes relevant subjective data. This textbook provides an opportunity to learn how to respond to normal, abnormal, and critical findings when completing a complete subjective health assessment.

Word Count: 15796

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This online textbook addresses the population of individuals with disabilities that experience complex lifelong needs across multiple areas in their lives. Drs. Sennott and Loman drafted this book (along with the help from some friends) with the hope of providing pertinent, practical, and current resources to future special educators who plan to serve individuals with complex disabilities.

This OER presents an integrated suite of learning resources developed for the core music theory and musicianship curriculum at the University of Northern Iowa School of Music. It provides a more comprehensive symbiosis of musicianship and music theory learning than can be found in existing textbooks, including engaging and progressive video demonstrations and interactive listening and vocal exercises that integrate musical knowledge with foundational musical skills. This OER affords the flexibility to shape core musicianship and music theory learning to meet the needs of changing School of Music demographics well into the future, a resource for innovative and inviting music programs accessible to all.

Este libro de investigación trata sobre que los momentos de la lectura mejoran la comprensión lectora en los niveles literal, inferencial y crítico de los estudiantes del segundo grado “E” del ciclo avanzado del CEBA “Politécnico Regional del Centro”- Huancayo, es de naturaleza cuantitativa, tipo aplicada, diseño pre experimental, con pre test y pos test en un solo grupo, muestra no probabilística. Se aplicó un pre test para diagnosticar su comprensión de textos, luego una propuesta experimental basada en la estrategia los momentos de la lectura de Isabel Solé y un post test para determinar los efectos. Se demostró estadísticamente que la aplicación de esta estrategia permite mejorar significativamente la comprensión lectora en el nivel literal, inferencial y crítico. Esto se fundamenta porque en el pre test la mayoría de estudiantes alcanzó calificaciones inferiores a 10 (escala vigesimal); pero, en el post test la mayoría superó este promedio en estos niveles. En el calculó se evidenció que existen diferencias significativas entre las puntuaciones del pre y post test de 6,6 puntos p < 0,05.

All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while the applications both motivate and illustrate the mathematics. Of course, this dichotomy between theory and applications is not perfectly maintained: the chapters that focus mainly on applications include the development of some of the mathematics that is specific to a particular application, and very occasionally, some of the chapters that focus mainly on mathematics include a discussion of related algorithmic ideas as well.

The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, fields, and vector spaces). It also includes an introduction to discrete probability theory—this material is needed to properly treat the topics of probabilistic algorithms and cryptographic applications. The treatment of all these topics is more or less standard, except that the text only deals with commutative structures (i.e., abelian groups and commutative rings with unity) — this is all that is really needed for the purposes of this text, and the theory of these structures is much simpler and more transparent than that of more general, non-commutative structures.

The sixth edition, first published as an ebook, and this seventh edition carry forward the philosophy and structure of the earlier editions. This book is not a comprehensive treatise on the subject of civil procedure, yet it provides a mixture of expository text, cases, and self-testing questions in nearly all of the major areas of the subject.