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...

Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language to give undergraduate and beginning graduate students a better understanding of how to use vectors and tensors to solve problems in physics and engineering.

Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which ...

This concise, accessible, market-leading textbook brings together the wide-ranging fundamentals students need to understand rocks and minerals, and shows them how they relate to the broader Earth, materials and environmental sciences. Designed specifically for one-semester courses, it is beautifully illustrated to explain the key concepts in mineralogy and petrology. This edition has been fully updated based on classroom experience, and new features include a completely new chapter providing ...

Improve your understanding of idioms in English. Explanations and practice of English idioms, written for advanced-level (C1 to C2) learners of English. Perfect for both self-study and classroom activities.

Learn idioms in context, with lots of different topics, including 'Learning', 'Formal writing' and 'Telling stories'. Be confident about what you are learning, thanks to Cambridge research into how English is really spoken and written, and get better at studying by yourself, with study tip...

An improved, larger-format edition of the Cambridge School Shakespeare plays, extensively rewritten, expanded and produced in an attractive new design. An active approach to classroom Shakespeare enables students to inhabit Shakespeare's imaginative world in accessible and creative ways. Students are encouraged to share Shakespeare's love of language, interest in character and sense of theatre.

Substantially revised and extended in full colour, classroom activities are thematically organised ...

Are you curious to know what all languages have in common and how they differ? Do you want to find out how language can be used to trace different peoples and their past? Now in its fourth edition, this fascinating book guides beginners through the rich diversity of the world's languages. It presupposes no background in linguistics, and introduces key concepts with the help of problem sets, end-of-chapter exercises and an extensive bibliography. It is illustrated with detailed maps and charts...

English for Specific Purposes offers the teacher a new perspective on this important field. The main concern is effective learning and how this can best be achieved in ESP courses. The authors discuss the evolution of ESP and its position today; the role of the ESP teacher; course design; syllabuses; materials; teaching methods, and evaluation procedures.

It will be of interest to all teachers who are concerned with ESP. Those who are new to the field will find it a thorough, practical introd...

Cambridge English for the Media develops the communication skills and specialist English language knowledge of media students and professionals, enabling them to work more confidently and effectively. Covering a range of media-related fields including newspapers, television, radio and marketing, the eight standalone units enable students to concentrate on the areas that are most relevant to them. As well as teaching specialist language, the course also develops job-specific skills such as wri...

Systematically and comprehensively covering the management of life-threatening emergencies of pregnancy, this updated revision of the third edition gives readers the skills they need to save both mother and fetus. The clear step-by-step advice is invaluable for anyone facing obstetric emergencies, whether in training or experienced.