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How does mathematics enable us to send pictures from space back to Earth? Where does the bell-shaped curve come from? Why do you need only 23 people in a room for a 50/50 chance of two of them sharing the same birthday? In Strange Curves, Counting Rabbits, and Other Mathematical Explorations, Keith Ball highlights how ideas, mostly from pure math, can answer these questions and many more. Drawing on areas of mathematics from probability theory, number theory, and geometry, he explores a wide range of concepts, some more light-hearted, others central to the development of the field and used daily by mathematicians, physicists, and engineers. Each of the book's ten chapters begins by outlining...
How does mathematics enable us to send pictures from space back to Earth? Where does the bell-shaped curve come from? Why do you need only 23 people in a room for a 50/50 chance of two of them sharing the same birthday? In Strange Curves, Counting Rabbits, and Other Mathematical Explorations, Keith Ball highlights how ideas, mostly from pure math, can answer these questions and many more. Drawing on areas of mathematics from probability theory, number theory, and geometry, he explores a wide range of concepts, some more light-hearted, others central to the development of the field and used daily by mathematicians, physicists, and engineers. Each of the book's ten chapters begins by outlining...
Articles on classical convex geometry, geometric functional analysis, computational geometry, and related areas of harmonic analysis, first published in 1999.
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Vols. for 1837-52 include the Companion to the Almanac, or Year-book of general information.
This book offers a new methodological framework for the CLIL classroom, focusing on how to guide input and support output. Full of real-life examples and practical guidelines, the book provides support to both novice and experienced CLIL teachers. Areas covered include: the language used in CLIL; CLIL teacher training; materials design for CLIL; assessment in CLIL. Extra resources are available on the website: www.oup.com/elt/teacher/clil Phil Ball is a CLIL author and teacher trainer based in northern Spain. Keith Kelly is a writer and speaker on CLIL worldwide, and is based in Plovdiv, Bulgaria. John Clegg is a textbook author and CLIL consultant based in London.
Because of their spectacular, naturalistic pictures of plants and the human body, Leonhart Fuchs’s De historia stirpium and Andreas Vesalius’s De humani corporis fabrica are landmark publications in the history of the printed book. But as Picturing the Book of Nature makes clear, they do more than bear witness to the development of book publishing during the Renaissance and to the prominence attained by the fields of medical botany and anatomy in European medicine. Sachiko Kusukawa examines these texts, as well as Conrad Gessner’s unpublished Historia plantarum, and demonstrates how their illustrations were integral to the emergence of a new type of argument during this period—a visu...
Legendary first baseman Keith Hernandez tells all in this gripping literary memoir and New York Times bestseller. Keith Hernandez revolutionized the role of first baseman. During his illustrious career with the World Series-winning St. Louis Cardinals and New York Mets, he was a perennial fan favorite, earning eleven consecutive Gold Gloves, a National League co-MVP Award, and a batting title. But it was his unique blend of intelligence, humor, and talent -- not to mention his unflappable leadership, playful antics, and competitive temperament -- that transcended the sport and propelled him to a level of renown that few other athletes have achieved, including his memorable appearances on the...
This book proposes that Philip Melanchthon was responsible for transforming traditional university natural philosophy into a specifically Lutheran one. Motivated by desire to check civil disobedience and promote a Lutheran orthodoxy, he created a natural philosophy based on Aristotle, Galen and Plato, incorporating contemporary findings of Copernicus and Vesalius. The fields of astrology, anatomy, botany and mathematics all constituted a natural philosophy in which Melanchthon wished to demonstrate God's Providential design in the physical world. Rather than dichotomizing or synthesizing the two distinct areas of 'science' and 'religion', Kusukawa advocates the need to look at 'Natural philosophy' as a discipline quite different from either 'modern science' or 'religion': a contextual assessment of the implication of the Lutheran Reformation on university education, particularly on natural philosophy.
Machine Learning: A Constraint-Based Approach provides readers with a refreshing look at the basic models and algorithms of machine learning, with an emphasis on current topics of interest that includes neural networks and kernel machines. The book presents the information in a truly unified manner that is based on the notion of learning from environmental constraints. While regarding symbolic knowledge bases as a collection of constraints, the book draws a path towards a deep integration with machine learning that relies on the idea of adopting multivalued logic formalisms, like in fuzzy systems. A special attention is reserved to deep learning, which nicely fits the constrained- based appr...