소장자료
LDR | 04329cam a2200601Ii 4500 | ||
001 | 0100730488▲ | ||
003 | OCoLC▲ | ||
005 | 20230918153619▲ | ||
006 | m d ▲ | ||
007 | cr unu||||||||▲ | ||
008 | 201023t20202020nyu ob ||1 0 eng d▲ | ||
019 | ▼a1199891342▼a1202466738▼a1229956111▲ | ||
020 | ▼a9780192585370▼qelectronic book▲ | ||
020 | ▼a0192585371▼qelectronic book▲ | ||
020 | ▼a9780192585387▼qelectronic book▲ | ||
020 | ▼a019258538X▼qelectronic book▲ | ||
020 | ▼z019884638X▲ | ||
020 | ▼z9780198846383▲ | ||
035 | ▼a2647341▼b(N$T)▲ | ||
035 | ▼a(OCoLC)1202530948▼z(OCoLC)1199891342▼z(OCoLC)1202466738▼z(OCoLC)1229956111▲ | ||
037 | ▼aCB85CA15-8129-4878-A034-01773B122644▼bOverDrive, Inc.▼nhttp://www.overdrive.com▲ | ||
040 | ▼aTOH▼beng▼erda▼cTOH▼dOCLCO▼dYDX▼dTEFOD▼dOCLCO▼dYDXIT▼dN$T▼dEBLCP▼dOCLCF▲ | ||
049 | ▼aMAIN▲ | ||
050 | 4 | ▼aQA445▼b.A24 2020▲ | |
082 | 0 | 4 | ▼a516▼223▲ |
100 | 1 | ▼aAcheson, D. J.,▼eauthor.▲ | |
245 | 1 | 4 | ▼aThe wonder book of geometry▼h[electronic resource] :▼bA Mathematical Story /▼cDavid Acheson.▲ |
250 | ▼aFirst edition.▲ | ||
260 | ▼aOxford :▼bOxford University Press, ▼c2020.▲ | ||
300 | ▼a1 online resource (vii, 279 pages)▲ | ||
336 | ▼atext▼btxt▼2rdacontent▲ | ||
337 | ▼acomputer▼bc▼2rdamedia▲ | ||
338 | ▼aonline resource▼bcr▼2rdacarrier▲ | ||
347 | ▼atext file▼2rda▲ | ||
500 | ▼aElectronic book.▲ | ||
504 | ▼aIncludes bibliographical references and index.▲ | ||
505 | 0 | ▼aCover -- The Wonder Book of Geometry -- Copyright -- Contents -- 1: Introduction -- 2: Getting Started -- Parallel lines -- Angles -- Opposite angles -- Alternate angles -- The angle-sum of a triangle -- 3: Euclid's Elements -- Euclid, 1732 -- 4: Thales' Theorem -- Congruent triangles -- Isosceles triangles -- Circles -- Thales' theorem -- the mathematical world of Ancient Greece -- 5: Geometry in Action -- Thales and similar triangles -- Measuring the Earth -- 'Practical work', 1929 -- Area -- 6: Pythagoras' Theorem -- A special case -- Unexpectedly irrational -- Three proofs of Pythagoras▲ | |
505 | 8 | ▼aA 'proof by picture' -- 'Plain and Easie' -- Pythagoras in China? -- 7: 'In Love with Geometry'? -- The area of a triangle -- Euclid's proof of Pythagoras' theorem -- 371 Proofs of Pythagoras -- 8: 'Imagine my Exultation, Watson . . .' -- A problem with ladders -- Pythagoras by similar triangles -- A neat proof -- An even neater one? -- Similarity and area -- The bigger picture -- 9: Congruence and Similarity -- Congruence -- The reflection of light -- Parallelograms -- Describing congruence and similarity -- Similarity -- The mid-point theorem -- Varignon's theorem -- The Golden Ration▲ | |
505 | 8 | ▼aNot quite the 'pizza theorem' -- 19: Unexpected Meetings -- The perpendicular bisectors -- The altitudes -- The angle-bisectors -- The medians -- And there's a lot more . . . -- 20: Ceva's Theorem -- The converse of Ceva's theorem -- The medians revisited -- The altitudes revisited -- The Gergonne point -- How Ceva did it -- Some Futher Slices of Pi -- 21: A Kind of Symmetry -- Newton and the altitudes -- The eyeball theorem -- The medians, by coordinate geometry -- 22: 'Pyracy' in Woolwich? -- What's the smallest area? -- Queen Dido's problem -- 23: Fermat's Problem -- Torricelli's approach▲ | |
520 | ▼aDavid Acheson transports us into the world of geometry, one of the oldest branches of mathematics. He describes its history, from ancient Greece to the present day, and its emphasis on proofs. With its elegant deduction and practical applications, he demonstrates how geometry offers the quickest route to the spirit of mathematics at its best.▲ | ||
588 | ▼aDescription based on online resource; title from digital title page (viewed on December 10, 2020).▲ | ||
590 | ▼aOCLC control number change▲ | ||
650 | 0 | ▼aGeometry.▲ | |
650 | 7 | ▼aGeometry.▼2fast▼0(OCoLC)fst00940864▲ | |
655 | 0 | ▼aElectronic books.▲ | |
655 | 4 | ▼aElectronic books.▲ | |
776 | 0 | 8 | ▼iPrint version:▼z019884638X▼z9780198846383▼w(OCoLC)1139241229▲ |
856 | 4 | 0 | ▼3EBSCOhost▼uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=2647341▲ |
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The wonder book of geometry[electronic resource] : A Mathematical Story
자료유형
국외eBook
서명/책임사항
The wonder book of geometry [electronic resource] : A Mathematical Story / David Acheson.
개인저자
판사항
First edition.
발행사항
Oxford : Oxford University Press , 2020.
형태사항
1 online resource (vii, 279 pages)
일반주기
Electronic book.
서지주기
Includes bibliographical references and index.
내용주기
Cover -- The Wonder Book of Geometry -- Copyright -- Contents -- 1: Introduction -- 2: Getting Started -- Parallel lines -- Angles -- Opposite angles -- Alternate angles -- The angle-sum of a triangle -- 3: Euclid's Elements -- Euclid, 1732 -- 4: Thales' Theorem -- Congruent triangles -- Isosceles triangles -- Circles -- Thales' theorem -- the mathematical world of Ancient Greece -- 5: Geometry in Action -- Thales and similar triangles -- Measuring the Earth -- 'Practical work', 1929 -- Area -- 6: Pythagoras' Theorem -- A special case -- Unexpectedly irrational -- Three proofs of Pythagoras
A 'proof by picture' -- 'Plain and Easie' -- Pythagoras in China? -- 7: 'In Love with Geometry'? -- The area of a triangle -- Euclid's proof of Pythagoras' theorem -- 371 Proofs of Pythagoras -- 8: 'Imagine my Exultation, Watson . . .' -- A problem with ladders -- Pythagoras by similar triangles -- A neat proof -- An even neater one? -- Similarity and area -- The bigger picture -- 9: Congruence and Similarity -- Congruence -- The reflection of light -- Parallelograms -- Describing congruence and similarity -- Similarity -- The mid-point theorem -- Varignon's theorem -- The Golden Ration
Not quite the 'pizza theorem' -- 19: Unexpected Meetings -- The perpendicular bisectors -- The altitudes -- The angle-bisectors -- The medians -- And there's a lot more . . . -- 20: Ceva's Theorem -- The converse of Ceva's theorem -- The medians revisited -- The altitudes revisited -- The Gergonne point -- How Ceva did it -- Some Futher Slices of Pi -- 21: A Kind of Symmetry -- Newton and the altitudes -- The eyeball theorem -- The medians, by coordinate geometry -- 22: 'Pyracy' in Woolwich? -- What's the smallest area? -- Queen Dido's problem -- 23: Fermat's Problem -- Torricelli's approach
A 'proof by picture' -- 'Plain and Easie' -- Pythagoras in China? -- 7: 'In Love with Geometry'? -- The area of a triangle -- Euclid's proof of Pythagoras' theorem -- 371 Proofs of Pythagoras -- 8: 'Imagine my Exultation, Watson . . .' -- A problem with ladders -- Pythagoras by similar triangles -- A neat proof -- An even neater one? -- Similarity and area -- The bigger picture -- 9: Congruence and Similarity -- Congruence -- The reflection of light -- Parallelograms -- Describing congruence and similarity -- Similarity -- The mid-point theorem -- Varignon's theorem -- The Golden Ration
Not quite the 'pizza theorem' -- 19: Unexpected Meetings -- The perpendicular bisectors -- The altitudes -- The angle-bisectors -- The medians -- And there's a lot more . . . -- 20: Ceva's Theorem -- The converse of Ceva's theorem -- The medians revisited -- The altitudes revisited -- The Gergonne point -- How Ceva did it -- Some Futher Slices of Pi -- 21: A Kind of Symmetry -- Newton and the altitudes -- The eyeball theorem -- The medians, by coordinate geometry -- 22: 'Pyracy' in Woolwich? -- What's the smallest area? -- Queen Dido's problem -- 23: Fermat's Problem -- Torricelli's approach
요약주기
David Acheson transports us into the world of geometry, one of the oldest branches of mathematics. He describes its history, from ancient Greece to the present day, and its emphasis on proofs. With its elegant deduction and practical applications, he demonstrates how geometry offers the quickest route to the spirit of mathematics at its best.
ISBN
9780192585370 0192585371 9780192585387 019258538X
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