Combinatorics is an upper-level introductory course in enumeration, graph theory, and design theory.
- Subject:
- Mathematics
- Material Type:
- Textbook
- Provider:
- University of Lethbridge
- Author:
- Joy Morris
- Date Added:
- 12/14/2007
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.
An Open Source Textbook for Students Enrolled in ELL 80 at Lake Washington Institute of Technology
Short Description:
Several English pronunciation lessons to make you a more effective speaker.
Word Count: 3006
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
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
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
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.
This textbook follows California Language Arts Standards for grades 9-12 to provide a generalized understanding of composition and to serve as a supplementary aid to high school English teachers.
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.
This book is an introduction to communication, affect, and learning in the classroom. The book was originally created as a way to introduce K-12 educators to instructional communication, but has been expanded to help College/University professors and Talent Development professionals as well.
An Introductory Listening and Speaking Text for English Language Learners
Short Description:
For more accessible and classroom-friendly (Word and PDF) versions of this book, please view and download them at PDXScholar. This Pressbook version primarily exists to encourage others to adapt and adopt Communication Beginnings: An Introductory Listening and Speaking Text for English Language Learners using Pressbooks. This textbook is designed for advanced beginning-intermediate English language learners in an academic English program.
Long Description:
Communication Beginnings: An Introductory Listening and Speaking Text for English Language Learners is designed for advanced beginning-intermediate English language learners in an academic English program. 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 also focuses on 10 target words from the New General Service List of English vocabulary and reviews basic grammar points. 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.
Word Count: 16252
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
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.
Constraints and Affordances of Media
Short Description:
This book is a compilation of undergraduate student research, from a class at the University of Notre Dame: ANTHROPOLOGY 40470, Fall 2021, "Zoom Text Talk Insta Sing Chat: Modalities and Media of Interaction," taught by Susan D. Blum
Word Count: 13904
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
Short Description:
This open textbook brings together a variety of resources that guide college students in introductory communication courses. Communication Essentials for College focuses on fundamental academic skills, including: studying and note taking, writing and researching, using APA style citations, presenting, and working in teams. NewParaThis project is made possible with funding by the Government of Ontario and through eCampusOntario’s support of the Virtual Learning Strategy. To learn more about the Virtual Learning Strategy visit the VLS website.NewParaPublished February 28, 2022
Word Count: 171460
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
Short Description:
This open textbook is designed to guide college students in developing the vital communication skills that are necessary to succeed in the modern workplace.
Word Count: 76959
ISBN: 978-0-9699813-3-6
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
This note is an introduction to Unit-I Communication Skills. It makes you understand the various types, ways, kinds of communication along with the knowledge of its process and importance.
NSCC EDITION
Short Description:
Communication Skills is designed to guide college students in developing the vital communication skills that are necessary to succeed in the modern workplace. It is written in the reader-friendly style of a professional email between colleagues. Adapted from the Seneca College version of Communication @ Work.
Word Count: 125091
ISBN: 978-1-990641-78-7
(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)
A chapter on listening skills from the textbook, Communication Skills, developed by the Language Communication for Development Department at the Bunda College of Agriculture, University of Malawi.
A chapter on using the College Library from the textbook, Communication Skills, developed by the Language Communication for Development Department at the Bunda College of Agriculture, University of Malawi.
A chapter on writing skills from the textbook, Communication Skills, developed by the Language Communication for Development Department at the Bunda College of Agriculture, University of Malawi.
A chapter on writing skills from the textbook, Communication Skills, developed by the Language Communication for Development Department at the Bunda College of Agriculture, University of Malawi.
Communication Skills for Health Professionals is a comprehensive and practical textbook designed to equip individuals in health studies with the essential skills and strategies necessary for effective communication in their professional setting. This engaging and accessible resource provides a solid foundation for novice and experienced professionals to enhance their communication proficiency and succeed in their careers.