The Ampleforth Journal


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Animal Physiology


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Published by Sinauer Associates, an imprint of Oxford University Press.




Crash Course Biology


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This book effectively translates author Hank Green's YouTube video sensation of biology Crash Courses into guided question worksheets. Students follow along with Hank Green's online Crash Courses and reflect upon topics in biology using this interactive guiding question workbook. A quick type in on a Google search engine or YouTube of "Crash Course Biology" will take one to the desired site of where 40 episodes can be found. Common Core biology standards are followed in all questions inside of the Crash Course Biology: A Study Guide of Worksheets for Biology workbook helping students tap into level 3 and 4 DOK (Depth of Knowledge) thinking skills in biology while actively learning while listening to Hank Green's Biology Crash Course videos. This workbook can be used to focus students either with or without headphones on a laptop while watching the desired YouTube video thus eliminating distraction in a desired setting. Questions posed are in accordance with AP high school biology standards (aka college level biology standards) and can be used in order to improve test scores, content understanding, and effectively build upon essay structure in writing about topics in biology. Target audience includes but is not limited to native English speakers and English language learners ages 15-22. Note: Those without access to YouTube can still use these guiding questions as a guide in order find answers using their respective biology book, and by looking up answers using bolded key terms and vocabulary. Questions posed in this book are meant to inspire paragraph development including intro, thesis, body, and conclusion paragraph structure while affording the reader opportunities to analyze, evaluate, and reflect upon a wide number of topics found in biology.




Ergodic Theory and Fractal Geometry


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Fractal geometry represents a radical departure from classical geometry, which focuses on smooth objects that "straighten out" under magnification. Fractals, which take their name from the shape of fractured objects, can be characterized as retaining their lack of smoothness under magnification. The properties of fractals come to light under repeated magnification, which we refer to informally as "zooming in". This zooming-in process has its parallels in dynamics, and the varying "scenery" corresponds to the evolution of dynamical variables. The present monograph focuses on applications of one branch of dynamics--ergodic theory--to the geometry of fractals. Much attention is given to the all-important notion of fractal dimension, which is shown to be intimately related to the study of ergodic averages. It has been long known that dynamical systems serve as a rich source of fractal examples. The primary goal in this monograph is to demonstrate how the minute structure of fractals is unfolded when seen in the light of related dynamics. A co-publication of the AMS and CBMS.




Moon-face and Other Stories


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JACK LONDON (1876-1916), American novelist, born in San Francisco, the son of an itinerant astrologer and a spiritualist mother. He grew up in poverty, scratching a living in various legal and illegal ways -robbing the oyster beds, working in a canning factory and a jute mill, serving aged 17 as a common sailor, and taking part in the Klondike gold rush of 1897. This various experience provided the material for his works, and made him a socialist. "The son of the Wolf" (1900), the first of his collections of tales, is based upon life in the Far North, as is the book that brought him recognition, "The Call of the Wild" (1903), which tells the story of the dog Buck, who, after his master ́s death, is lured back to the primitive world to lead a wolf pack. Many other tales of struggle, travel, and adventure followed, including "The Sea-Wolf" (1904), "White Fang" (1906), "South Sea Tales" (1911), and "Jerry of the South Seas" (1917). One of London ́s most interesting novels is the semi-autobiographical "Martin Eden" (1909). He also wrote socialist treatises, autobiographical essays, and a good deal of journalism.




Facsimile Products


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The War of Guns and Mathematics


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For a long time, World War I has been shortchanged by the historiography of science. Until recently, World War II was usually considered as the defining event for the formation of the modern relationship between science and society. In this context, the effects of the First World War, by contrast, were often limited to the massive deaths of promising young scientists. By focusing on a few key places (Paris, Cambridge, Rome, Chicago, and others), the present book gathers studies representing a broad spectrum of positions adopted by mathematicians about the conflict, from militant pacifism to military, scientific, or ideological mobilization. The use of mathematics for war is thoroughly examined. This book suggests a new vision of the long-term influence of World War I on mathematics and mathematicians. Continuities and discontinuities in the structure and organization of the mathematical sciences are discussed, as well as their images in various milieux. Topics of research and the values with which they were defended are scrutinized. This book, in particular, proposes a more in-depth evaluation of the issue of modernity and modernization in mathematics. The issue of scientific international relations after the war is revisited by a close look at the situation in a few Allied countries (France, Britain, Italy, and the USA). The historiography has emphasized the place of Germany as the leading mathematical country before WWI and the absurdity of its postwar ostracism by the Allies. The studies presented here help explain how dramatically different prewar situations, prolonged interaction during the war, and new international postwar organizations led to attempts at redrafting models for mathematical developments.




Hilbert's Fifth Problem and Related Topics


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In the fifth of his famous list of 23 problems, Hilbert asked if every topological group which was locally Euclidean was in fact a Lie group. Through the work of Gleason, Montgomery-Zippin, Yamabe, and others, this question was solved affirmatively; more generally, a satisfactory description of the (mesoscopic) structure of locally compact groups was established. Subsequently, this structure theory was used to prove Gromov's theorem on groups of polynomial growth, and more recently in the work of Hrushovski, Breuillard, Green, and the author on the structure of approximate groups. In this graduate text, all of this material is presented in a unified manner, starting with the analytic structural theory of real Lie groups and Lie algebras (emphasising the role of one-parameter groups and the Baker-Campbell-Hausdorff formula), then presenting a proof of the Gleason-Yamabe structure theorem for locally compact groups (emphasising the role of Gleason metrics), from which the solution to Hilbert's fifth problem follows as a corollary. After reviewing some model-theoretic preliminaries (most notably the theory of ultraproducts), the combinatorial applications of the Gleason-Yamabe theorem to approximate groups and groups of polynomial growth are then given. A large number of relevant exercises and other supplementary material are also provided.




Fractals: A Very Short Introduction


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Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. 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.




Math in 100 Key Breakthroughs


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Richard Elwes is a writer, teacher and researcher in Mathematics, visiting fellow at the University of Leeds, and contributor to numerous popular science magazines. He is a committed and recognized popularizer of mathematics. Of Elwes, Sonder Books 2011 Standouts said, "Dr. Elwes is brilliant at giving the reader the broad perspective, with enough details to fascinate, rather than confuse." Math in 100 Key Breakthroughs offers a series of short, clear-eyed essays explaining the fundamentals of the mathematical concepts everyone should know. Professor Richard Elwes profiles the most important, groundbreaking, and astonishing discoveries, which together have profoundly influenced our understanding of the universe. From the origins of counting--traced back to more than 35,000 years ago--to such contemporary breakthroughs as Wiles' Proof of Fermat's Last Theorem and Cook & Woolfram's Rule 110, this compulsively readable book tells the story of discovery, invention, and inspiration that have led to humankind's most important mathematical achievements.