100 Great Problems of Elementary Mathematics (Dover Books on Mathematics)

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9780486613482: 100 Great Problems of Elementary Mathematics (Dover Books on Mathematics)

"The collection, drawn from arithmetic, algebra, pure and algebraic geometry and astronomy, is extraordinarily interesting and attractive." — Mathematical Gazette
This uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history — Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and many others — but it provides rare insight and inspiration to any reader, from high school math student to professional mathematician. This is indeed an unusual and uniquely valuable book.
The one hundred problems are presented in six categories: 26 arithmetical problems, 15 planimetric problems, 25 classic problems concerning conic sections and cycloids, 10 stereometric problems, 12 nautical and astronomical problems, and 12 maxima and minima problems. In addition to defining the problems and giving full solutions and proofs, the author recounts their origins and history and discusses personalities associated with them. Often he gives not the original solution, but one or two simpler or more interesting demonstrations. In only two or three instances does the solution assume anything more than a knowledge of theorems of elementary mathematics; hence, this is a book with an extremely wide appeal.
Some of the most celebrated and intriguing items are: Archimedes' "Problema Bovinum," Euler's problem of polygon division, Omar Khayyam's binomial expansion, the Euler number, Newton's exponential series, the sine and cosine series, Mercator's logarithmic series, the Fermat-Euler prime number theorem, the Feuerbach circle, the tangency problem of Apollonius, Archimedes' determination of pi, Pascal's hexagon theorem, Desargues' involution theorem, the five regular solids, the Mercator projection, the Kepler equation, determination of the position of a ship at sea, Lambert's comet problem, and Steiner's ellipse, circle, and sphere problems.
This translation, prepared especially for Dover by David Antin, brings Dörrie's "Triumph der Mathematik" to the English-language audience for the first time.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

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Dorrie, Heinrich
ISBN 10: 0486613488 ISBN 13: 9780486613482
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Descrizione libro 1965. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486613482

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Dörrie, Heinrich
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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486613488

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Descrizione libro 1965. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486613482

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Heinrich Dorrie
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ISBN 10: 0486613488 ISBN 13: 9780486613482
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Descrizione libro Dover Publications Inc., United States, 1965. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. -The collection, drawn from arithmetic, algebra, pure and algebraic geometry and astronomy, is extraordinarily interesting and attractive.- -- Mathematical Gazette This uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history -- Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and many others -- but it provides rare insight and inspiration to any reader, from high school math student to professional mathematician. This is indeed an unusual and uniquely valuable book. The one hundred problems are presented in six categories: 26 arithmetical problems, 15 planimetric problems, 25 classic problems concerning conic sections and cycloids, 10 stereometric problems, 12 nautical and astronomical problems, and 12 maxima and minima problems. In addition to defining the problems and giving full solutions and proofs, the author recounts their origins and history and discusses personalities associated with them. Often he gives not the original solution, but one or two simpler or more interesting demonstrations. In only two or three instances does the solution assume anything more than a knowledge of theorems of elementary mathematics; hence, this is a book with an extremely wide appeal. Some of the most celebrated and intriguing items are: Archimedes -Problema Bovinum, - Euler s problem of polygon division, Omar Khayyam s binomial expansion, the Euler number, Newton s exponential series, the sine and cosine series, Mercator s logarithmic series, the Fermat-Euler prime number theorem, the Feuerbach circle, the tangency problem of Apollonius, Archimedes determination of pi, Pascal s hexagon theorem, Desargues involution theorem, the five regular solids, the Mercator projection, the Kepler equation, determination of the position of a ship at sea, Lambert s comet problem, and Steiner s ellipse, circle, and sphere problems. This translation, prepared especially for Dover by David Antin, brings Dorrie s -Triumph der Mathematik- to the English-language audience for the first time. Codice libro della libreria AAC9780486613482

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Heinrich Dorrie
Editore: Dover Publications Inc., United States (1965)
ISBN 10: 0486613488 ISBN 13: 9780486613482
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Descrizione libro Dover Publications Inc., United States, 1965. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. -The collection, drawn from arithmetic, algebra, pure and algebraic geometry and astronomy, is extraordinarily interesting and attractive.- -- Mathematical Gazette This uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history -- Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and many others -- but it provides rare insight and inspiration to any reader, from high school math student to professional mathematician. This is indeed an unusual and uniquely valuable book. The one hundred problems are presented in six categories: 26 arithmetical problems, 15 planimetric problems, 25 classic problems concerning conic sections and cycloids, 10 stereometric problems, 12 nautical and astronomical problems, and 12 maxima and minima problems. In addition to defining the problems and giving full solutions and proofs, the author recounts their origins and history and discusses personalities associated with them. Often he gives not the original solution, but one or two simpler or more interesting demonstrations. In only two or three instances does the solution assume anything more than a knowledge of theorems of elementary mathematics; hence, this is a book with an extremely wide appeal. Some of the most celebrated and intriguing items are: Archimedes -Problema Bovinum, - Euler s problem of polygon division, Omar Khayyam s binomial expansion, the Euler number, Newton s exponential series, the sine and cosine series, Mercator s logarithmic series, the Fermat-Euler prime number theorem, the Feuerbach circle, the tangency problem of Apollonius, Archimedes determination of pi, Pascal s hexagon theorem, Desargues involution theorem, the five regular solids, the Mercator projection, the Kepler equation, determination of the position of a ship at sea, Lambert s comet problem, and Steiner s ellipse, circle, and sphere problems. This translation, prepared especially for Dover by David Antin, brings Dorrie s -Triumph der Mathematik- to the English-language audience for the first time. Codice libro della libreria AAC9780486613482

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ISBN 10: 0486613488 ISBN 13: 9780486613482
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Descrizione libro Dover Publications, 1965. Paperback. Condizione libro: New. Never used!. Codice libro della libreria 0486613488

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Heinrich Dorrie
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ISBN 10: 0486613488 ISBN 13: 9780486613482
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Descrizione libro Dover Publications Inc., United States, 1965. Paperback. Condizione libro: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. -The collection, drawn from arithmetic, algebra, pure and algebraic geometry and astronomy, is extraordinarily interesting and attractive.- -- Mathematical Gazette This uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history -- Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and many others -- but it provides rare insight and inspiration to any reader, from high school math student to professional mathematician. This is indeed an unusual and uniquely valuable book. The one hundred problems are presented in six categories: 26 arithmetical problems, 15 planimetric problems, 25 classic problems concerning conic sections and cycloids, 10 stereometric problems, 12 nautical and astronomical problems, and 12 maxima and minima problems. In addition to defining the problems and giving full solutions and proofs, the author recounts their origins and history and discusses personalities associated with them. Often he gives not the original solution, but one or two simpler or more interesting demonstrations. In only two or three instances does the solution assume anything more than a knowledge of theorems of elementary mathematics; hence, this is a book with an extremely wide appeal. Some of the most celebrated and intriguing items are: Archimedes -Problema Bovinum, - Euler s problem of polygon division, Omar Khayyam s binomial expansion, the Euler number, Newton s exponential series, the sine and cosine series, Mercator s logarithmic series, the Fermat-Euler prime number theorem, the Feuerbach circle, the tangency problem of Apollonius, Archimedes determination of pi, Pascal s hexagon theorem, Desargues involution theorem, the five regular solids, the Mercator projection, the Kepler equation, determination of the position of a ship at sea, Lambert s comet problem, and Steiner s ellipse, circle, and sphere problems. This translation, prepared especially for Dover by David Antin, brings Dorrie s -Triumph der Mathematik- to the English-language audience for the first time. Codice libro della libreria BTE9780486613482

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486613488 *BRAND NEW* Ships Same Day or Next!. Codice libro della libreria NATARAJB1FI1001849

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Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 393 pages. Dimensions: 8.4in. x 5.4in. x 0.9in.Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge todays would-be problem solvers. Among them: How is a sundial constructed How can you calculate the logarithm of a given number without the use of logarithm table No advanced math is required. Includes 100 problems with proofs. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486613482

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Heinrich Dorrie
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Descrizione libro Paperback. Condizione libro: New. Paperback. Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today's would-be problem solvers. Among them: How is a sundial constructed? How can.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 393 pages. 0.422. Codice libro della libreria 9780486613482

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