number from ahmes to cantor

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Author : Midhat J. Gazalé
ISBN : 069100515X
Genre : Mathematics
File Size : 82. 35 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.

Digital Arithmetic

Author : Miloš D. Ercegovac
ISBN : 9780080530406
Genre : Mathematics
File Size : 34. 19 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 : 71. 51 MB
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A History Of Mathematics

Author : Florian Cajori
ISBN : STANFORD:36105002048762
Genre : Education
File Size : 88. 14 MB
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How the mathematicians have developed a progressive science through the epochs of human history.

Introduction To Mathematical Proofs

Author : Charles Roberts
ISBN : 142006956X
Genre : Mathematics
File Size : 23. 53 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.

A Short History Of Greek Mathematics

Author : James Gow
ISBN : UOM:39015030836079
Genre : Mathematics
File Size : 60. 69 MB
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Gnomon

Author : Midhat J. Gazalé
ISBN : 0691005141
Genre : Mathematics
File Size : 60. 30 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 Elementary Mathematics With Hints On Methods Of Teaching

Author : Florian Cajori
ISBN : NWU:35556021639885
Genre : Mathematics
File Size : 79. 94 MB
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A History Of Mathematics

Author : Florian Cajori
ISBN : 0821821024
Genre : Mathematics
File Size : 35. 95 MB
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Originally published in 1893, this book was significantly revised and extended by the author (second edition, 1919) to cover the history of mathematics from antiquity to the end of World War I. Since then, three more editions were published, and the current volume is a reproduction of the fifth edition (1991). The book covers the history of ancient mathematics (Babylonian, Egyptian, Roman, Chinese, Japanese, Mayan, Hindu, and Arabic, with a major emphasis on ancient Greek mathematics). The chapters that follow explore European mathematics in the Middle Ages and the mathematics of the sixteenth, seventeenth, and eighteenth centuries (Vieta, Decartes, Newton, Euler, and Lagrange). The last and longest chapter discusses major mathematics events of the nineteenth and early twentieth centuries. Topics discussed in this chapter include synthetic and analytic geometry, algebra, analysis, the theory of functions, the theory of numbers, and others. In one concise volume, the author presents an interesting and reliable account of mathematics history. Cajori has mastered the art of incorporating an enormous amount of material into a smoothly flowing narrative. The review of the volume's third edition in Mathematical Reviews ends with the following words: "Chaque mathematicien devrait lire ce livre!"

The Theory Of Knowledge

Author : Leonard Trelawny Hobhouse
ISBN : UOM:39015059880032
Genre : Knowledge, Theory of
File Size : 25. 56 MB
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