Gateway A2 Workbook


Book Description




Gateway B1 Student Book


Book Description

Gateway is an academically-rich five-level course designed to lead teenage students to success in school-leaving and university entrance exams and prepare them for university and the world of work.




Gateway B2 Student Book


Book Description

Gateway is an academically rich, multi-level general English course designed to lead teenage students to success in school-leaving/university entrance examinations, and prepare them for university and the world of work.




Gateway to Arabic


Book Description

Aimed at the beginner who has no prior knowledge of Arabic, this work begins with the first letter of the alphabet, and gradually builds up the learner's skills to a level where he or she would be able to read a passage of vocalised Arabic text. It also includes numerous copying exercises that enable students to develop a clear handwritten style.




Feedback Systems


Book Description

The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory




Gateway B2 Workbook


Book Description

Gateway is an academically rich five-level course designed to lead teenage students to success in school-leaving and university entrance exams and prepare them for university and the world of work.




Get Involved!.


Book Description




Gateway A2


Book Description

Helps students prepare and practise for their school-leaving exams and equips them with lifelong learning and study skills. Taking an inductive approach to Grammar, this title revises and extends the students' knowledge of grammar and vocabulary through varied skills-based activities that recycle, revise, evaluate and develop language skills.




Gateway B2 Workbook


Book Description