number from ahmes to cantor

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Author : Midhat J. Gazalé
ISBN : 069100515X
Genre : Mathematics
File Size : 25. 12 MB
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In his companion volume to "Gnomon: From Pharaohs to Fractals, " Gazale introduces some of the most fascinating characters in mathematical history, from Ahmes the Egyptian scribe (whose efforts helped preserve some of the mathematical secrets of the architects of the pyramids) through the modern era of Georg Cantor (the great 19th-century inventor of trans-finite numbers). Illustrations.

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Author : Midhat J. Gazalé
ISBN : 006900515X
Genre :
File Size : 84. 84 MB
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Digital Arithmetic

Author : Miloš D. Ercegovac
ISBN : 9780080530406
Genre : Mathematics
File Size : 90. 40 MB
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Digital arithmetic plays an important role in the design of general-purpose digital processors and of embedded systems for signal processing, graphics, and communications. In spite of a mature body of knowledge in digital arithmetic, each new generation of processors or digital systems creates new arithmetic design problems. Designers, researchers, and graduate students will find solid solutions to these problems in this comprehensive, state-of-the-art exposition of digital arithmetic. Ercegovac and Lang, two of the field's leading experts, deliver a unified treatment of digital arithmetic, tying underlying theory to design practice in a technology-independent manner. They consistently use an algorithmic approach in defining arithmetic operations, illustrate concepts with examples of designs at the logic level, and discuss cost/performance characteristics throughout. Students and practicing designers alike will find Digital Arithmetic a definitive reference and a consistent teaching tool for developing a deep understanding of the "arithmetic style" of algorithms and designs. Guides readers to develop sound solutions, avoid known mistakes, and repeat successful design decisions. Presents comprehensive coverage3⁄4from fundamental theories to current research trends. Written in a clear and engaging style by two masters of the field. Concludes each chapter with in-depth discussions of the key literature. Includes a full set of over 250 exercises

Mathematical Reviews

Author :
ISBN : UVA:X006195258
Genre : Mathematics
File Size : 30. 48 MB
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Gnomon

Author : Midhat J. Gazalé
ISBN : 0691005141
Genre : Mathematics
File Size : 62. 97 MB
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The author "explains the properties of gnomons [self-repeating shapes], traces their long and colorful history in human thought, and explores the mathematical and geometrical marvels they make possible."--Jacket.

A History Of Mathematics

Author : Florian Cajori
ISBN : STANFORD:36105002048762
Genre : Education
File Size : 52. 96 MB
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How the mathematicians have developed a progressive science through the epochs of human history.

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Author : Tobias Dantzig
ISBN : 0452288118
Genre : Mathematics
File Size : 53. 81 MB
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A new edition of the classic introduction to mathematics, first published in 1930 and revised in the 1950s, explains the history and tenets of mathematics, including the relationship of mathematics to the other sciences and profiles of the luminaries whose research expanded the human concept of number. Reprint. 25,000 first printing.

Introduction To Mathematical Proofs

Author : Charles Roberts
ISBN : 142006956X
Genre : Mathematics
File Size : 77. 63 MB
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Shows How to Read & Write Mathematical Proofs Ideal Foundation for More Advanced Mathematics Courses Introduction to Mathematical Proofs: A Transition facilitates a smooth transition from courses designed to develop computational skills and problem solving abilities to courses that emphasize theorem proving. It helps students develop the skills necessary to write clear, correct, and concise proofs. Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It will prepare them to succeed in more advanced mathematics courses, such as abstract algebra and geometry.

Vom Pal Olithikum Zur Postmoderne

Author : Andreas Kamp
ISBN : 9789060323830
Genre : Philosophy
File Size : 66. 88 MB
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Dies ist der erste Teil einer zweibändigen Studie zur Genese unseres heutigen, vom Anspruch her den chronologischen Verlauf der gesamten Menschheitsgeschichte strukturierenden „Epochen“-Systems. Der Band skizziert zunächst die geistesgeschichtlichen Prämissen. Von der rudimentären paläolithischen Zeiteinteilung führt er über die ältesten schriftlich dokumentierten Ordnungsversuche in den sumerischen bzw. ägyptischen „Königlisten“, griechische und römische Autoren, Petrarca, Bruni und Vasari bis zu Cellarius, der am Ende des 17. Jahrhunderts die Drei-Zeitalter-Distinktion „Antike-Mittelalter-Neuzeit“ zum zentralen chronologischen Gliederungsprinzip der Weltgeschichte erhob. Anschließend stehen die drei klassischen, von Pyrrhon, Polybios bzw. Ptolemaios entwickelten „Epoché“-Konzepte sowie deren Auftauchen und Rezeption im lateinischen Europa im Fokus. Sodann wird die erstaunlich spät, nämlich erst nach Mitte des 16. Jahrhunderts einsetzende Transformation der „Epoché“ zur fundamentalen historiographischen Ordnungskategorie thematisiert. Schließlich verfolgen wir anhand zahlreicher Autoren sowie der kontemporären Lexikographie ihren auf Latein wie in den relevanten europäischen „Volkssprachen“ (Englisch, Französisch, Deutsch, Spanisch, Portugiesisch, Italienisch) stattfindenden Divulgationsprozeß. Dabei erweist sich der Ausgang des 17. Jahrhunderts erneut als Wasserscheide. Der erste Band endet deshalb an dieser Stelle, der zweite wird dann die weitere Entwicklung von 1700 bis zur Gegenwart analysieren. This is the first part of a two-volume study of the genesis of our modern-day system of epochs, which claims to structure the chronology of the entire history of mankind. The volume sets out by sketching the intellectual premises. It leads from the rudimentary Palaeolithic division of time via the oldest attempts at structuring to have been documented in written form, through to the Sumerian and Egyptian “King Lists”, to Greek and Roman authors, to Petrarch, Bruni, and Vasari, and finally to Cellarius, who in the late 17th century introduced the distinction between the three epochs of “Antiquity, the Middle Ages and the Modern Era” as the basic chronological principle of organising the history of the world. This is followed by a closer look at the three classical concepts of “Epoché” as defined by Pyrrhon, Polybios and Ptolemaios, respectively, as well as their surfacing and reception in Latin Europe. Not until the second half of the 16th century, which is an astonishingly late point in time, can the transformation of “Epoché” into a fundamental category of historiographic structuring be detected. Finally, by studying numerous writers as well as the contemporary lexicography, we will outline the process of divulgation that took place both in Latin as well as in the relevant European “vernaculars” (English, French, German, Spanish, Portuguese, Italian). In the process, the late 17th century again proves to be a kind of divide. As a consequence, volume one ends here; a second volume (forthc.) will analyse the further development to the present day.

A Short History Of Greek Mathematics

Author : James Gow
ISBN : UOM:39015030836079
Genre : Mathematics
File Size : 37. 12 MB
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