the ancient tradition of geometric problems dover books on mathematics

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The Ancient Tradition Of Geometric Problems

Author : Wilbur Richard Knorr
ISBN : 9780486675329
Genre : Mathematics
File Size : 69. 77 MB
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Illustrated study focuses on attempts by ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle quadrature. Origins of the study of conics, introduction of special mechanical curves, more. 1986 edition.

Exploring Classical Greek Construction Problems With Interactive Geometry Software

Author : Ad Meskens
ISBN : 9783319428635
Genre : Mathematics
File Size : 68. 63 MB
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In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.

Mathematics For The Nonmathematician

Author : Morris Kline
ISBN : 9780486316130
Genre : Mathematics
File Size : 69. 52 MB
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Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.

Using The Mathematics Literature

Author : Kristine K. Fowler
ISBN : 0824750357
Genre : Language Arts & Disciplines
File Size : 67. 89 MB
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This reference serves as a reader-friendly guide to every basic tool and skill required in the mathematical library and helps mathematicians find resources in any format in the mathematics literature. It lists a wide range of standard texts, journals, review articles, newsgroups, and Internet and database tools for every major subfield in mathematics and details methods of access to primary literature sources of new research, applications, results, and techniques. Using the Mathematics Literature is the most comprehensive and up-to-date resource on mathematics literature in both print and electronic formats, presenting time-saving strategies for retrieval of the latest information.

History Of Mathematics

Author : Craig Smorynski
ISBN : 9780387754819
Genre : Mathematics
File Size : 71. 9 MB
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General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.

The Shaping Of Deduction In Greek Mathematics

Author : Reviel Netz
ISBN : 0521541204
Genre : History
File Size : 64. 82 MB
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An examination of the emergence of the phenomenon of deductive argument in classical Greek mathematics.

Mathematical Expeditions

Author : Reinhard Laubenbacher
ISBN : 038798433X
Genre : Mathematics
File Size : 55. 76 MB
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Explorers of all types are guided by mere curiosity, the thrill of adventure, and sometimes by more practical motives. This book contains the stories of five mathematical journeys into new realms, pieced together through the writings of the explorers who, regardless of motive, expanded what was known to the mathematical world and realized that still greater vistas remain to be explored. Among the topics discussed are Fermat's Last Theorem and the Taming of the Infinite.

Beautiful Geometry

Author : Eli Maor
ISBN : 9781400848331
Genre : Mathematics
File Size : 21. 6 MB
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If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

The Historical Roots Of Elementary Mathematics

Author : Lucas N. H. Bunt
ISBN : 9780486139685
Genre : Mathematics
File Size : 81. 42 MB
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Exciting, hands-on approach to understanding fundamental underpinnings of modern arithmetic, algebra, geometry and number systems examines their origins in early Egyptian, Babylonian, and Greek sources.

Mathematical Logic

Author : Stephen Cole Kleene
ISBN : 9780486317076
Genre : Mathematics
File Size : 34. 60 MB
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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

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