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, downloa...

A unique introduction to the design, analysis, and presentation of scientific projects, this is an essential textbook for undergraduate majors in science and mathematics. The textbook gives an overview of the main methods used in scientific research, including hypothesis testing, the measurement of functional relationships, and observational research. It describes important features of experimental design, such as the control of errors, instrument calibration, data analysis, laboratory safety...

This is a critical introduction to modern French philosophy, commissioned from one of the liveliest contemporary practitioners and intended for an English-speaking readership. The dominant 'Anglo-Saxon' reaction to philosophical development in France has for some decades been one of suspicion, occasionally tempered by curiosity but more often hardening into dismissive rejection. But there are signs now of a more sympathetic interest and an increasing readiness to admit and explore shared conc...

Professional English in Use Marketing offers comprehensive coverage of key marketing vocabulary, it includes 50 units covering everything from marketing basics and the full marketing mix, through to research, advertising, media and PR.

As the Messenger of God, Muhammad stands at the heart of the Islamic religion, revered by Muslims throughout the world. The Cambridge Companion to Muhammad comprises a collection of essays by some of the most accomplished scholars in the field exploring the life and legacy of the Prophet. The book is divided into three sections, the first charting his biography and the milieu into which he was born, the revelation of the Qur'an, and his role within the early Muslim community.

The second part ...

This best selling course has been thoroughly revised to meet the needs of today's business and economics students. English for Business Studies Third Edition reflects recent changes in the world's business and economic environment, featuring new units including Corporate Social Responsibility and Venture Capital. Covering the most important areas of management, production, marketing, finance and macroeconomics, it helps students to understand and talk about key concepts in business and econom...

Is children's language acquisition based on innate linguistic structures or built from cognitive and communicative skills? This book summarises the major theoretical debates in all of the core domains of child language acquisition research (phonology, word-learning, inflectional morphology, syntax and binding) and includes a complete introduction to the two major contrasting theoretical approaches: generativist and constructivist. For each debate, the predictions of the competing accounts are...

A Reference Grammar of Modern Standard Arabic is a comprehensive handbook on the structure of Arabic. Keeping technical terminology to a minimum, it provides a detailed yet accessible overview of Modern Standard Arabic in which the essential aspects of its phonology, morphology and syntax can be readily looked up and understood. Accompanied by extensive carefully-chosen examples, it will prove invaluable as a practical guide for supporting students' textbooks, classroom work or self-study, an...

Grammar in Use is the world's best-selling grammar series for learners of English. Essential Grammar in Use with Answers, authored by Raymond Murphy, is the first choice for elementary-level (A1-B1) learners and covers all the grammar required at this level. It is a self-study book with simple explanations and lots of practice exercises, and has helped millions of people around the world to communicate in English.

Academic Vocabulary in Use Second Edition is the perfect study aid for anyone using English for their academic work. Ideal for students of any discipline, this second edition has been updated to reflect changes in education, technology and communications, includes a selection of new reading passages, and is now in full colour. 50 easy-to-use, two-page units give clear explanations of new vocabulary, along with a variety of practice exercises.

A comprehensive answer key, and phonemic transcrip...