Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics, and computer science. A special feature of the volume is a computerized system for developing proofs interactively, downloadab...

The words you need to communicate with confidence. Vocabulary explanations and practice for upper-intermediate level (B2) learners of English. Perfect for both self-study and classroom activities.

Quickly expand your vocabulary with over 100 units of easy to understand explanations and practice exercises. Also inside the book is a code for an ebook. This is the same as the printed book, but with audio so that you can listen to new words as well as reading them.

The ebook is online for Windows...

An essential guide for succeeding in today's competitive environment, this book provides beginning scientists and experienced researchers with practical advice on writing about their work and getting published. This brand new, updated edition also includes a new chapter on editing one's own work, a section on publicizing and archiving one's paper, and updates on authorship, including information on new authorship criteria and on the author identification number ORCID. The book guides readers ...

The Cambridge History of Japanese Literature provides, for the first time, a history of Japanese literature with comprehensive coverage of the premodern and modern eras in a single volume. The book is arranged topically in a series of short, accessible chapters for easy access and reference, giving insight into both canonical texts and many lesser known, popular genres, from centuries-old folk literature to the detective fiction of modern times. The various period introductions provide an ove...

The linguistic study of Japanese, with its rich syntactic and phonological structure, complex writing system, and diverse sociohistorical context, is a rapidly growing research area. This book, designed to serve as a concise reference for researchers interested in the Japanese language and in typological studies of language in general, explores diverse characteristics of Japanese that are particularly intriguing when compared with English and other European languages. It pays equal attention ...

Objective Proficiency Second edition provides official preparation for the revised 2013 Cambridge English: Proficiency exam, also known as Certificate of Proficiency in English (CPE). A variety of challenging, lively topics provide thorough training in exam skills and high-level language development. Each unit contains three double-page lessons ensuring flexibility, even pacing and progress.

Interactive software, downloadable from a URL in the Student's Book, provides activities for practice ...

MR is a powerful modality. At its most advanced, it can be used not just to image anatomy and pathology, but to investigate organ function, to probe in vivo chemistry, and even to visualise the brain thinking. However, clinicians, technologists and scientists struggle with the study of the subject.

The result is sometimes an obscurity of understanding, or a dilution of scientific truth, resulting in misconceptions. This is why MRI from Picture to Proton has achieved its reputation for practic...

Now in its third edition, The Cambridge Encyclopedia of the English Language provides the most comprehensive coverage of the history, structure and worldwide use of English. Fully updated and expanded, with a fresh redesigned layout, and over sixty audio resources to bring language extracts to life, it covers all aspects of the English language including the history of English, with new pages on Shakespeare's vocabulary and pronunciation, updated statistics on global English use that now cove...

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathemat...

Disasters and History offers the first comprehensive historical overview of hazards and disasters. Drawing on a range of case studies, including the Black Death, the Lisbon earthquake of 1755 and the Fukushima disaster, the authors examine how societies dealt with shocks and hazards and their potentially disastrous outcomes. They reveal the ways in which the consequences and outcomes of these disasters varied widely not only between societies but also within the same societies according to so...