Destination C1 & C2 : Grammar and Vocabulary is the ideal grammar and vocabulary practice book for all advanced students preparing to take any C1 & C2 level exam: e.g. Cambridge CAE and Cambridge CPE.

Destination B2: Grammar and Vocabulary is the ideal grammar and vocabulary practice book for all students preparing to take any B2 level exam: e.g. Cambridge FCE.

The features of this volume include: a systematic approach to word formation; a focus on grammar, providing essential FC grammar practice; a list of collocations and patterns; and a phrasal verb reference section with definitions from the Macmillan English Dictionary for Advanced Learners.

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

This book provides an introduction to the mathematical and algorithmic foundations of data science, including machine learning, high-dimensional geometry, and analysis of large networks. Topics include the counterintuitive nature of data in high dimensions, important linear algebraic techniques such as singular value decomposition, the theory of random walks and Markov chains, the fundamentals of and important algorithms for machine learning, algorithms and analysis for clustering, probabilistic models for large networks, representation learning including topic modelling and non-negative matrix factorization, wavelets and compressed sensing. Important probabilistic techniques are developed including the law of large numbers, tail inequalities, analysis of random projections, generalization guarantees in machine learning, and moment methods for analysis of phase transitions in large random graphs. Additionally, important structural and complexity measures are discussed such as matrix norms and VC-dimension. This book is suitable for both undergraduate and graduate courses in the design and analysis of algorithms for data.

Collocations are combinations of words which frequently appear together. Using them makes your English sound more natural.

Gain the confidence you need to excel in English speaking exams and other formal speaking situations! In five short units, experienced EFL teacher Albert Bowkett presents innovative and effective techniques and exercises related to core speaking elements such as pronunciation, picture-related exam tasks, collaborative exam tasks, improvised conversation, presentations, and interviews. What makes this book special is its application of logic and critical thinking skills, as well as organisational and performance techniques. This goes beyond simply 'learning phrases' (intermediate level) and provides the advanced level EFL speaker with proven tools and strategies for passing speaking exams and producing confident, original and dynamic answers in all formal situations. Includes FREE bonus chapter: Unit 1 from ''C1 Vocabulary: 100 Exam Keywords for Advanced English''