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Mathematical Techniques
Undergraduate students of engineering, science, and mathematics must quickly master a variety of mathematical methods, although many of these students do not have strong mathematics backgrounds. In this well-received book, now in its second edition, the authors use their extensive experience with diverse groups of students to provide an accessible introduction to mathematical techniques. They start at the elementary level and proceed to cover the full range of topics typically encountered by beginning students: BL Analytic geometry, vector algebra, vector fields (div and curl), differentiation, and integration. BL Complex numbers, matrix operations, and linear systems of equations. BL Differ...
Logic Matters
"This is a significant and ofren rather demanding collection of essays. It is an anthology purring together the uncollected works of an important twentieth-century philosopher. Many of the articles treat one or another of the more important issues considered by analytic philosophers during the last quarter-century. Of significant importance to philosophers interested in researching the many topics contained in Logic Matters is the inclusion in this anthology of a rather extensive eight-page name-topic index."--Thomist "The papers are arranged by topic: Historical Essays, Traditional Logic, Theory of Reference and Syntax, Intentionality, Quotation and Semantics, Set Theory, Identity Theory, A...
Visible Maths
Peter Mattock's Visible Maths: Using representations and structure to enhance mathematics teaching in schools supports teachers in their use of concrete and pictorial representations to illustrate key mathematical ideas and operations. Viewing the maths lesson as an opportunity for pupils to develop a deep understanding of mathematical concepts and relationships, rather than simply to follow fixed processes that lead to 'the answer', is increasingly recognised as the pinnacle of best practice in maths education. In this book, Peter Mattock builds on this approach and explores in colourful detail a variety of visual tools and techniques that can be used in the classroom to deepen pupils' unde...
An Introduction to Formal Logic
Formal logic provides us with a powerful set of techniques for criticizing some arguments and showing others to be valid. These techniques are relevant to all of us with an interest in being skilful and accurate reasoners. In this highly accessible book, Peter Smith presents a guide to the fundamental aims and basic elements of formal logic. He introduces the reader to the languages of propositional and predicate logic, and then develops formal systems for evaluating arguments translated into these languages, concentrating on the easily comprehensible 'tree' method. His discussion is richly illustrated with worked examples and exercises. A distinctive feature is that, alongside the formal work, there is illuminating philosophical commentary. This book will make an ideal text for a first logic course, and will provide a firm basis for further work in formal and philosophical logic.
A Mathematical Introduction to Logic
This book gives a mathematical treatment of the basic ideas and results of logic. It is intended to serve as a textbook for an introductory mathematics course in logic at the junior-senior level. The objectives are to present the important concepts and theorems of logic and to explain their significance and their relationship to the reader's other mathematical work.
An Introduction to Gödel's Theorems
Peter Smith examines Gödel's Theorems, how they were established and why they matter.
Bad Buying
"A fascinating litany of the mistakes that can happen when buyers get it wrong" - Luke Johnson, The Sunday Times "Packed full with amazing examples' Jeremy Vine, BBC Radio 2 "Colossal, costly disasters could be averted if those holding the purse strings read this book. - The Times In this hilarious, fascinating and insightful expose, industry insider Peter Smith reveals the massive blunders and dodgy dealings taking place around the world as private companies and public sector bodies buy goods and services. A recent report showed that over 90% of procurement projects fail. So, why are so many billions wasted on ineptitude, mismanagement and, in some cases, fraud? By turns an entertaining acc...
The PhD Viva
This indispensable book helps PhD candidates to understand the viva process and to prepare and present their work in the best possible manner. With concrete guidance, examples and activities throughout, it covers everything from the constitution of the PhD viva panel and how to prepare as the event draws closer to typical questions and how to answer them. Chapters are enriched with authentic case studies and insights from successful PhD graduates. This text is suitable for PhD and other doctoral degree students across all disciplines, and helpful to supervisors and examiners.
The Mathematics Practitioner’s Guidebook for Collaborative Lesson Research
This resource provides mathematics educators with tools for conducting Collaborative Lesson Research (CLR), a form of Lesson Study developed out of the original Japanese Lesson Study and intended to improve student and teacher learning. Renowned mathematics education researchers Akihiko Takahashi and Geoffrey Wake bring together educators across the US and UK with first-hand experience using CLR in their schools. Readers will learn the essentials for an impactful Lesson Study directly from the scholars who coined the term, and benefit from the dual perspectives of math education researchers and teachers who have used CLR when reflecting on their own classroom pedagogy. These contributors def...
Stochastic Processes
Based on a well-established and popular course taught by the authors over many years, Stochastic Processes: An Introduction, Third Edition, discusses the modelling and analysis of random experiments, where processes evolve over time. The text begins with a review of relevant fundamental probability. It then covers gambling problems, random walks, and Markov chains. The authors go on to discuss random processes continuous in time, including Poisson, birth and death processes, and general population models, and present an extended discussion on the analysis of associated stationary processes in queues. The book also explores reliability and other random processes, such as branching, martingale...
