by Elliott H. Lieb, Michael Loss
How to Think about Analysis
by Lara Alcock
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 Way of Analysis
by Robert S. Strichartz
by Herbert Amann, Joachim Escher
by Terence Tao
This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Handbook of Water Analysis
by Leo M.L. Nollet, Leen S. P. De Gelder
Data Collection and Analysis
by Roger Sapsford, Victor Jupp
A wide range of examples illustrate the text and a set of exercises runs throughout the book to aid the reader in understanding and planning research projects.
Building on the strengths of the First Edition, this new and expanded version includes:
– The addition of chapter introductions, summaries and key terms to guide the reader through the text
– Three brand new chapters focusing on: research and information on the Net; discourse research; ethnographic and discursive qualitative analysis
– Up-to-date examples of research in action
– New material on questionnaire design, composite measurement and techniques of quantitative and qualitative interviewing
An invaluable guide for students from across the social sciences, this wide-ranging volume is also a key resource for practitioners in a variety of applied areas including nursing, social work, the criminal justice system, teaching and education.
by Roger Godement
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English.
Dictionary of the Theatre
by Patrice Pavis
Patrice Pavis is one of France’s most brilliant academics and a leading expert internationally in the theory of theatre. Dictionary of the Theatre is an English translation of Pavis’s acclaimed Dictionnaire du théâtre, now in its second printing in France.
This encyclopedic dictionary includes theoretical, technical, and semiotic terms and concepts. Alphabetical entries range from ‘absurd’ to ‘word scenery’ and treat the reader to a vast panoply of theatre and theory. The extended discussions are supported by useful examples drawn from the international repertoire of plays and playwrights, both classic and contemporary. The Foreword is by Marvin Carlson.
This dictionary is remarkably well integrated, partly because of its excellent system of cross-referencing, but also because it represents the vision and scholarship of a single, recognized authority. There is no other source like it available and it will be warmly welcomed by the English-language theatre world.