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History of the Theory of Numbers, Volume I: Divisibility and Primality by Leonard Eugene Dickson
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The Companion Bible
E.W. Bullinger - 1990
W. Bullinger's exhaustively researched study BibleA direct descendant of the great Swiss reformer, Johann H. Bullinger, E. W. Bullinger was a life-long scholar and writer. He studied at King's College, London, from 1860 through 1861 and was ordained in the Church of England in 1862. In 1867 he was appointed to the position of clerical secretary for the Trinitarian Bible Society, a post he would hold until his death.The Companion Bible by Bullinger was released in six parts, beginning in 1910, and Bullinger's identity as author of the notes and editor was purposely left off the title page. The introduction notes:To the same end this Bible is not associated with the name of any man; so that its usefulness may neither be influenced nor limited by any such consideration; but that it may commend itself, on its own merits, to the whole English-speaking race.The text of The Companion Bible is the Authorized Version (KJV). Bullinger's notes relied upon many sources from the biblical studies of that era, particularly the emerging archaeological and linguistic discoveries of the late 19th century.Notes within the text of this 2,176 page, one-volume study Bible give valuable insights into the original Greek and Hebrew languages. Alternate translations, explanations of figures of speech, cross-references and an introductory detailed outline of each book and chapter are among the many features which Bible students, pastors, and seminarians will find helpful.Study helps in The Companion Bible include:198 appendices, keyed to the study notes, which include explanations of Greek and Hebrew words and their use Charts, parallel passages, maps, proper names and their pronunciation Timelines plus other special information and topical studies Distinguishing type for divine names and titles. Archaeological findings and historical genealogies. Figures of speech which are noted and explained. Hebrew words supplied in their root form. Emphasized pronouns in the original text given in distinguishable type. Cross-references supplied to similar words in the original text. 10 point type size Burgundy hardcover
The Foundations of Arithmetic: A Logico-Mathematical Enquiry into the Concept of Number
Gottlob Frege - 1884
The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.
Elementary Linear Algebra with Applications
Howard Anton - 1973
It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract. Readers consistently praise this outstanding text for its expository style and clarity of presentation. The applications version features a wide variety of interesting, contemporary applications. Clear, accessible, step-by-step explanations make the material crystal clear. Established the intricate thread of relationships between systems of equations, matrices, determinants, vectors, linear transformations and eigenvalues.
Proofs from the Book, 3e
Martin Aigner - 1998
Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."
Contract Law
Ewan McKendrick - 2000
McKendrick explores the underlying themes and explains the basic rules of English contract law, introducing the current debates about the nature, scope and functions of this law and discussing some of the wider controversies surrounding basic doctrines.
Anthology of World Scriptures
Robert E. Van Voorst - 1994
ANTHOLOGY OF WORLD SCRIPTURES is a collection of the most notable and instructive scriptures of the major living religions of the world: Hinduism, Buddhism, Jainism, Sikhism, Confucianism, Taoism, Shinto, Zoroastrianism, Judaism, Christianity, and Islam. Also included are the most important scriptures of the new religious movements: Baha'i, The Church of Jesus Christ of Latter-Day Saints, the Christian Science Church, and the Unification Church. Supported by introductions to the readings by the editor, this anthology provides the most comprehensive and pedagogically sound access to the sacred literature of the world available in a single volume. A full Wadsworth website with interactive pedagogy is available for student learning and enrichment.
Math on Trial: How Numbers Get Used and Abused in the Courtroom
Leila Schneps - 2013
Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.
Here on Gilligan's Isle
Russell Johnson - 1993
Features interviews with all the original cast members and a comprehensive episode guide. Photos.
Everything and More: A Compact History of Infinity
David Foster Wallace - 2003
Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.
Measurement
Paul Lockhart - 2012
An impassioned critique of K 12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. "Measurement "offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can do the math in a way that brings emotional and aesthetic rewards. "Measurement" is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work."
Think Stats
Allen B. Downey - 2011
This concise introduction shows you how to perform statistical analysis computationally, rather than mathematically, with programs written in Python.You'll work with a case study throughout the book to help you learn the entire data analysis process—from collecting data and generating statistics to identifying patterns and testing hypotheses. Along the way, you'll become familiar with distributions, the rules of probability, visualization, and many other tools and concepts.Develop your understanding of probability and statistics by writing and testing codeRun experiments to test statistical behavior, such as generating samples from several distributionsUse simulations to understand concepts that are hard to grasp mathematicallyLearn topics not usually covered in an introductory course, such as Bayesian estimationImport data from almost any source using Python, rather than be limited to data that has been cleaned and formatted for statistics toolsUse statistical inference to answer questions about real-world data