From the Bronze Age mariners of the Mediterranean to contemporary sailors using satellite-based technologies, the history of navigation at sea, the art of finding a position and setting a course, is fascinating. The scientific and technological developments that have enabled accurate measurements of position were central to exploration, trade, and the opening up of new continents, and the resulting journeys taken under their influence have had a profound influence on world history. In this Very Short Introduction Jim Bennett looks at the history of navigation, starting with the distinctive cultures of navigation that are defined geographically - the Mediterranean Sea, and the Pacific, Indian, and Atlantic Oceans. He shows how the adoption of mathematical methods, the use of instruments, the writing of textbooks and the publication of charts all combined to create a more standardised practice. Methods such as longitude-finding by chronometer and lunar distance were complemented by the routine business of recording courses and reckoning position 'by account'. Bennett also introduces the incredible array of instruments relied on by sailors, from astrolabes, sextants, and chronometers, to our more modern radio receivers, electronic equipment, and charts, and highlights the crucial role played by the individual qualities of endeavour and resourcefulness from mathematicians, scientists, and seamen in finding their way at sea. The story of navigation combines the societal, the technical, and the human, and it was vital for shaping the modern world. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

From the Bronze Age mariners of the Mediterranean to contemporary sailors using satellite-based technologies, the history of navigation at sea, the art of finding a position and setting a course, is fascinating. The scientific and technological developments that have enabled accurate measurements of position were central to exploration, trade, and the opening up of new continents, and the resulting journeys taken under their influence have had a profound influence on world history. In this Very Short Introduction Jim Bennett looks at the history of navigation, starting with the distinctive cultures of navigation that are defined geographically - the Mediterranean Sea, and the Pacific, Indian, and Atlantic Oceans. He shows how the adoption of mathematical methods, the use of instruments, the writing of textbooks and the publication of charts all combined to create a more standardised practice. Methods such as longitude-finding by chronometer and lunar distance were complemented by the routine business of recording courses and reckoning position 'by account'. Bennett also introduces the incredible array of instruments relied on by sailors, from astrolabes, sextants, and chronometers, to our more modern radio receivers, electronic equipment, and charts, and highlights the crucial role played by the individual qualities of endeavour and resourcefulness from mathematicians, scientists, and seamen in finding their way at sea. The story of navigation combines the societal, the technical, and the human, and it was vital for shaping the modern world. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Foreign aid organizations collectively spend hundreds of billions of dollars annually, with mixed results. Part of the problem in these endeavors lies in their execution. In Navigation by Judgment, Dan Honig argues that high-quality implementation of foreign aid programs often requires contextual information that cannot be seen by those in distant headquarters. Drawing on a novel database of over 14,000 discrete development projects across nine aid agencies and eight paired case studies of development projects, Honig shows that aid agencies will often benefit from giving field agents the authority to use their own judgments to guide aid delivery. This "navigation by judgment" is particularly valuable when environments are unpredictable and when accomplishing an aid program's goals is hard to accurately measure. Highlighting a crucial obstacle for effective global aid, Navigation by Judgment shows that the management of aid projects matters for aid effectiveness.

Rooted in ancient astronomy, trigonometry is mathematics' powerful toolkit for scientific measurement. It has been at the heart of the study of infinity, complex and imaginary numbers, and the shape of the space itself. Our experience of the universe has been made possible, and deeply challenged, by this surprisingly deep and fruitful subject.

What does American history look like with women at the center of the story? From Pocahantas to military women serving in the Iraqi war, this Very Short Introduction chronicles the contributions that women have made to the American experience from a multicultural perspective that emphasizes how gender shapes women's--and men's--lives.

In a startling reinterpretation of the evidence, Stillman Drake advances the hypothesis that Galileo's trial and condemnation by the Inquisition was caused not by his defiance of the Church, but by the hostility of contemporary philosophers. Galileo's own beautifully lucid arguments are used to show how his scientific method was utterly divorced from the Aristotelian approach to physics in that it was based on a search not for causes but for laws. Galileo's method was of overwhelming significance for the development of modern physics, and led to a final parting of the ways between science and philosophy. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?") ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.