How to Think about Analysis

How to Think about Analysis

Analysis is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared.

How to Think About Analysis

How to Think About Analysis

Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.

The Research Companion

A Practical Guide for the Social and Health Sciences

The Research Companion

Social science research has traditionally focused on the historical study of research methods, frequently overlooking the practical skills needed to undertake a research project. The Research Companion addresses this need for instruction in the practice of research and offers clear, honest advice to help avoid typical problems and improve the standards. This book will be invaluable to all researchers in the social or health sciences, whatever their level of experience, making research more accurate, ethical and productive.

Completing Your Qualitative Dissertation

A Road Map From Beginning to End

Completing Your Qualitative Dissertation

Completing Your Qualitative Dissertation offers comprehensive step-by-step guidance and practical tools for navigating the personal and professional challenges that can arise during the qualitative dissertation journey. Authors Linda Dale Bloomberg and Maria Volpe skillfully blend the conceptual, theoretical, and practical, empowering readers to successfully master both the content and the process of their qualitative dissertations. The Fourth Edition has been thoroughly updated to respond to developments in the field, allowing the book to have wider application for dissertation work within the evolving world of qualitative inquiry. Included in this edition is a new chapter titled “Achieving Alignment Throughout Your Dissertation,” a greater focus on how all qualitative traditions can encompass activist research and social justice inquiry, and enhanced coverage on the role of the researcher, emphasizing the importance of reflexivity and approaching research critically.

Qualitative Methods for Family Studies and Human Development

Qualitative Methods for Family Studies and Human Development

Qualitative Methods for Family Studies and Human Development serves as a step-by-step, interdisciplinary, qualitative methods text for those working in the areas of family studies, human development, family therapy, and family social work. Providing a systematic outline for carrying out qualitative projects from start to finish, author Kerry J. Daly uniquely combines epistemology, theory, and methodology into a comprehensive package illustrated specifically with examples from family relations and human development research.

Intelligence Analysis: How to Think in Complex Environments

How to Think in Complex Environments

Intelligence Analysis: How to Think in Complex Environments

This book offers a vast conceptual and theoretical exploration of the ways intelligence analysis must change in order to succeed against today's most dangerous combatants and most complex irregular theatres of conflict. • Includes quotations from a wide range of acclaimed thinkers • Offers an extensive bibliography of works cited and resources for further reading • Presents a comprehensive index

Analyzing and Reporting Focus Group Results

Analyzing and Reporting Focus Group Results

Richard Krueger offers a rich and valuable discussion of focus group analysis that is sure to become a major guide in future focus group efforts. Analysis of focus group data is different from analysis of data collected through other qualitative methodologies and this presents new challenges to researchers. This book overviews important principles guiding focus group research, suggests a systematic and verifiable analysis strategy. Krueger is not doctrinaire: he offers multiple approaches and invites others to share their strategies for analysis. The book is helpful for academic audiences, focus group practitioners and the occasional moderator. The straightforward approach contains hundreds of helpful tips.

Mathematics Rebooted

A Fresh Approach to Understanding

Mathematics Rebooted

This book is about mathematical thinking, learning and understanding. It is about ways in which good representations capture mathematical ideas, and about building broad and deep knowledge by understanding the links between those ideas. It draws on research in mathematics education and psychology to explain why some misunderstandings and confusions arise for almost everyone, and it describes ways to think about mathematical ideas correctly and with confidence.

Analysis in Qualitative Research

Analysis in Qualitative Research

Written for anyone beginning a research project, this introductory book takes you through the process of analysing your data from start to finish. The author sets out an easy-to-use model for coding data in order to break it down into parts, and then to reassemble it to create a meaningful picture of the phenomenon under study. Full of useful advice, the book guides the reader through the last difficult integrating phase of qualitative analysis including diagramming, memoing, thinking aloud, and using one's feelings, and how to incorporate the use of software where appropriate. Ideal for third year undergraduate students, master students, postgraduates and anybody beginning a research project, the book includes examples covering a wide range of subjects - making the book useful for students across the social science disciplines. Hennie Boeije is currently an Associate Professor with the Department of Methodology and Statistics of the Faculty of Social and Behavioural Sciences at Utrecht University, The Netherlands.

How to do your Case Study

A Guide for Students and Researchers

How to do your Case Study

Case Study is one of the most widely applied methods of research and instruction in use today. Cases are used to frame research, aid teaching and help learning the world over. Yet, despite being so widely used, there remains a great deal of uncertainty about what constitutes case study research and how case studies should be designed and carried out. In this lucid, accessible and often witty new text, Gary Thomas introduces students and researchers to the basics of case study research. Using a wide range of real-life examples, this book sets out for those new to the method how best to design and carry out case studies in the social sciences and humanities How to do your case study: a guide for students and researchers deals with the core issues and methods that anyone new to case study will need to understand: - What is a case study? - When and why should case study methods be used? - How are case studies designed? - What methods can be used? - How do we analyse and make sense of our data? - How do we write up and write about our case? How to do your Case Study will be essential reading for any student or researcher in the Social Sciences, Health Sciences, in Business Studies, in Education and the Humanities.