"New wave mental maths is a series of student workbooks, written to provide a comprehensive and structured daily mental maths program for students in Australian primary schools."--Foreword.
An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
How insurgencies—enabled by digital devices and a vast information sphere—have mobilized millions of ordinary people around the world. In the words of economist and scholar Arnold Kling, Martin Gurri saw it coming. Technology has categorically reversed the information balance of power between the public and the elites who manage the great hierarchical institutions of the industrial age: government, political parties, the media. The Revolt of the Public tells the story of how insurgencies, enabled by digital devices and a vast information sphere, have mobilized millions of ordinary people around the world. Originally published in 2014, The Revolt of the Public is now available in an updated edition, which includes an extensive analysis of Donald Trump’s improbable rise to the presidency and the electoral triumphs of Brexit. The book concludes with a speculative look forward, pondering whether the current elite class can bring about a reformation of the democratic process and whether new organizing principles, adapted to a digital world, can arise out of the present political turbulence.
"iMaths is an investigative-based numeracy program that comprehensively addresses both the content and proficiency strands of the Australian curriculum."--Back cover.
Features photocopiable resources to expand pupils' knowledge of the world; and, pupils use of atlases, the Internet and other reference sources to complete geographical crosswords. This title also offers information on latitude and longitude, scales and the eight compass points. It is suitable for class, group, individual and homework use.