How to Prove It


Book Description

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.




Science in Action 9


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The Theory and Practice of Online Learning


Book Description

"Neither an academic tome nor a prescriptive 'how to' guide, The Theory and Practice of Online Learning is an illuminating collection of essays by practitioners and scholars active in the complex field of distance education. Distance education has evolved significantly in its 150 years of existence. For most of this time, it was an individual pursuit defined by infrequent postal communication. But recently, three more developmental generations have emerged, supported by television and radio, teleconferencing, and computer conferencing. The early 21st century has produced a fifth generation, based on autonomous agents and intelligent, database-assisted learning, that has been referred to as Web 2.0. The second edition of "The Theory and Practice of Online Learning" features updates in each chapter, plus four new chapters on current distance education issues such as connectivism and social software innovations."--BOOK JACKET.







COVID-19 in Manitoba


Book Description

On 12 March 2020 Manitoba confirmed its first case of COVID-19. One week later, a province-wide state of emergency was declared, ushering in a new sense of urgency and rarely used government powers to protect Manitobans from the devastating global reach of the novel coronavirus. The wide-ranging impacts of the pandemic have touched every facet of Manitoba society and provincial responsibility, including health, economic development, social services, and government operations. COVID-19 has challenged the conventional policy-making process––complicating agenda setting and policy formulation, adoption, implementation, and evaluation––while governments have been under pressure to make swift decisions in life-and-death matters. New programs must address urgent and shifting health and economic realities, but also anticipate future waves of COVID-19 and potentially significant repercussions for future governments. "COVID-19 in Manitoba: Public Policy Responses to the First Wave" seeks to understand how Manitoba fared during the first months of the pandemic, with twenty-seven chapters that address key aspects of the pandemic and discuss how government policy can help lay the foundation for resiliency in the midst a continuing public-health crisis. This open-access volume is an essential resource for citizens and policy-makers alike, as it identifies policy gaps and successes of Manitoba’s early COVID response and points to strategies to prepare for future waves of the pandemic.




Jump Math 7.2


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Student-Specific Planning


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ACS Style Guide


Book Description

In the time since the second edition of The ACS Style Guide was published, the rapid growth of electronic communication has dramatically changed the scientific, technical, and medical (STM) publication world. This dynamic mode of dissemination is enabling scientists, engineers, and medicalpractitioners all over the world to obtain and transmit information quickly and easily. An essential constant in this changing environment is the requirement that information remain accurate, clear, unambiguous, and ethically sound.This extensive revision of The ACS Style Guide thoroughly examines electronic tools now available to assist STM writers in preparing manuscripts and communicating with publishers. Valuable updates include discussions of markup languages, citation of electronic sources, online submission ofmanuscripts, and preparation of figures, tables, and structures. In keeping current with the changing environment, this edition also contains references to many resources on the internet.With this wealth of new information, The ACS Style Guide's Third Edition continues its long tradition of providing invaluable insight on ethics in scientific communication, the editorial process, copyright, conventions in chemistry, grammar, punctuation, spelling, and writing style for any STMauthor, reviewer, or editor. The Third Edition is the definitive source for all information needed to write, review, submit, and edit scholarly and scientific manuscripts.




All Things Being Equal


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Math Explorations


Book Description