figures of thought mathematics and mathematical texts

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Figures Of Thought

Author : David Reed
ISBN : 9781134892532
Genre : Philosophy
File Size : 53. 80 MB
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Rarely has the history or philosophy of mathematics been written about by mathematicians, and the analysis of mathematical texts themselves has been an area almost entirely unexplored. Figures of Thought looks at ways in which mathematical works can be read as texts, examines their textual strategies and demonstrates that such readings provide a rich source of philosophical issues regarding mathematics: issues which traditional approaches to the history and philosophy of mathematics have neglected. David Reed, a professional mathematician himself, offers the first sustained and critical attempt to find a consistent argument or narrative thread in mathematical texts. In doing so he develops new and fascinating interpretations of mathematicians' work throughout history, from an in-depth analysis of Euclid's Elements, to the mathematics of Descartes and right up to the work of contemporary mathematicians such as Grothendeick. He also traces the implications of this approach to the understanding of the history and development of mathematics.

Mathematical Practice And The Philosophy Of Mathematics

Author : Audrey Yap
ISBN : STANFORD:36105128106320
Genre :
File Size : 28. 8 MB
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Forthcoming Books

Author : Rose Arny
ISBN : UOM:39015046838804
Genre : American literature
File Size : 59. 3 MB
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Algebra

Author : John Tabak
ISBN : 9780816068753
Genre : Algebra
File Size : 55. 28 MB
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Presents a survey of the history and evolution of the branch of mathematics that focuses on algebra, including useful applications and notable mathematicians in this area.

Labyrinth Of Thought

Author : José Ferreirós
ISBN : 9783764383503
Genre : Mathematics
File Size : 75. 34 MB
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"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century." --Bulletin of Symbolic Logic (Review of first edition)

Was Ist Mathematik

Author : Richard Courant
ISBN : 9783662000533
Genre : Mathematics
File Size : 77. 61 MB
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47 brauchen nur den Nenner n so groß zu wählen, daß das Intervall [0, IJn] kleiner wird als das fragliche Intervall [A, B], dann muß mindestens einer der Brüche m/n innerhalb des Intervalls liegen. Also kann es kein noch so kleines Intervall auf der Achse geben, das von rationalen Punkten frei wäre. Es folgt weiterhin, daß es in jedem Intervall unendlich viele rationale Punkte geben muß; denn wenn es nur eine endliche Anzahl gäbe, so könnte das Intervall zwischen zwei beliebigen benachbarten Punkten keine rationalen Punkte enthalten, was, wie wir eben sahen, unmöglich ist. § 2. Inkommensurable Strecken, irrationale Zahlen und der Grenzwertbegriff 1. Einleitung Vergleicht man zwei Strecken a und b hinsichtlich ihrer Größe, so kann es vor kommen, daß a in b genau r-mal enthalten ist, wobei r eine ganze Zahl darstellt. In diesem Fall können wir das Maß der Strecke b durch das von a ausdrücken, indem wir sagen, daß die Länge von b das r-fache der Länge von a ist.

Mathematics And The Divine

Author : Teun Koetsier
ISBN : 0080457355
Genre : Mathematics
File Size : 74. 83 MB
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Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn’t the Divine that which is immeasurable ? The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man’s quest for the Absolute in the course of history. · Mathematics and man's quest for the Absolute · A selective history highlighting key figures, schools and trains of thought · An international team of historians presenting specific new findings as well as general overviews · Confronting and uniting otherwise compartmentalized information

Mathematics And The Roots Of Postmodern Thought

Author : Vladimir Tasic
ISBN : 9780199881512
Genre : Mathematics
File Size : 71. 43 MB
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This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.

Math Study Skills Workbook

Author : Paul D. Nolting
ISBN : 9781133171430
Genre : Mathematics
File Size : 76. 3 MB
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Help your students become more effective at studying and learning mathematics with the MATH STUDY SKILLS WORKBOOK, Fourth Edition. Typically used as an a course supplement, the Nolting strategy helps students identify their strengths, weaknesses, and personal learning styles and then presents an easy-to-follow system to help them become more successful at math. The new edition of this best-selling workbook offers proven study tips, test-taking strategies, and recommendations for reducing math anxiety and improving grades. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Do I Really Have To Teach Reading

Author : Cris Tovani
ISBN : 9781571103765
Genre : Education
File Size : 53. 9 MB
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Takes on the challenge of helping students apply reading comprehension strategies in any subject. Shows how teachers can expand on their content expertise to provide instruction students need to understand specific technical and narrative texts. The book includes: examples of how teachers can model their reading process for students; ideas for supplementing and enhancing the use of required textbooks; detailed descriptions of specific strategies taught in context; stories from different high school classrooms to show how reading instruction varies according to content; samples of student work, including both struggling readers and college-bound seniors; a variety of 'comprehension constructors': guides designed to help students recognize and capture their thinking in writing while reading; guidance on assessing students; tips for balancing content and reading instruction.

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