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38669 results in Cambridge Textbooks

Page 1002 of 1934

How to Prove It
  • A Structured Approach
  • 3rd edition
  • Daniel J. Velleman
  • Published online:
    04 July 2019
    Print publication:
    18 July 2019
  • 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 mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed 'scratch work' sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.

An Introduction to Composite Materials
  • 3rd edition
  • T. W. Clyne, D. Hull
  • Published online:
    04 July 2019
    Print publication:
    11 July 2019
  • This fully expanded and updated edition provides both scientists and engineers with all the information they need to understand composite materials, covering their underlying science and technological usage. It includes four completely new chapters on surface coatings, highly porous materials, bio-composites and nano-composites, as well as thoroughly revised chapters on fibres and matrices, the design, fabrication and production of composites, mechanical and thermal properties, and industry applications. Extensively expanded referencing engages readers with the latest research and industrial developments in the field, and increased coverage of essential background science makes this a valuable self-contained text. A comprehensive set of homework questions, with model answers available online, explains how calculations associated with the properties of composite materials should be tackled, and educational software accompanying the book is available online. An invaluable text for final-year undergraduates in materials science and engineering, and graduate students and researchers in academia and industry.

  • Chapter 7 - The Recurrent Crises of the Gatekeeper State

  • Frederick Cooper, New York University
  • Book:
    Africa since 1940
    Published online:
    27 August 2020
    Print publication:
    04 July 2019, pp 234-290

  • Summary

    African states were successors in a double sense. First, they were built on a set of institutions – bureaucracies, militaries, customs facilities, post offices, and (for a time at least) legislatures – set up by colonial regimes, as well as on a principle of state sovereignty sanctified by a community of already existing states. In this sense, African states have proven durable: borders have remained largely unchanged (with the notable exceptions of the secession of Eritrea from Ethiopia and South Sudan from Sudan). Almost every piece of Africa is recognized from outside as a territorial entity, regardless of the effective power of the actual government within that space. Even so-called failed states – those unable to provide order and minimal services for their citizens – are still states, and derive resources from outside for that reason.

  • Chapter 2 - Workers, Peasants, and the Challenge to Colonial Rule

  • Frederick Cooper, New York University
  • Book:
    Africa since 1940
    Published online:
    27 August 2020
    Print publication:
    04 July 2019, pp 27-50

  • Summary

    In the late 1930s and 1940s colonial rule choked on the narrowness of the pathways it had created. Trying to confine Africans to tribal cages, seeking to extract from them what export products and labor it could without treating them as “workers,” “farmers,” “townsmen,” or “citizens,” colonial regimes discovered that Africans would not stay in the limited roles assigned to them. Instead, the constrictions created exactly the sort of danger administrators feared. Urban unrest within a very rural continent challenged colonial governments; a small number of wage workers threatened colonial economies; a tiny educated elite undercut the ideological pretenses of colonialism; supposed “pagans” worshiping local gods and ancestors produced Christian and Muslim religious movements of wide scope and uncertain political significance; and commercial farmers in a continent of “subsistence” producers made demands for a political voice for themselves and opportunities for their children that colonial systems could not meet.

Page 1002 of 1934