cambridge library collection mathematics

Oeuvres completes de Niels Henrik Abel

作者：Niels Henrik Abel 出版社：Cambridge Univ Pr 出版日：2012/08/02 裝訂：平裝

Niels Henrik Abel (1802–29) was one of the most prominent mathematicians in the first half of the nineteenth century. His pioneering work in diverse areas such as algebra, analysis, geometry and mechanics has made the adjective 'abelian' a commonplace in mathematical writing. These collected works, first published in two volumes in 1881 after careful preparation by the mathematicians Ludwig Sylow (1832–1918) and Sophus Lie (1842–99), contain some of the pillars of mathematical history. Volume 1 includes perhaps the most famous of Abel's results, namely his proof of the 'impossibility theorem', as well as his 'Paris memoir', which contains his many fundamental results on transcendental functions. Volume 2 contains additional articles on elliptic functions and infinite series. It also includes extracts from Abel's letters, as well as detailed notes and commentary by Sylow and Lie on Abel's pioneering work.

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2.

Oeuvres de Desargues 2 Volume Set

作者：Gérard Desargues 出版社：Cambridge Univ Pr 出版日：2011/11/10 裝訂：平裝

The French mathematician and engineer Gérard Desargues (1591–1661) was one of the founders of projective geometry. Desargues' theorem is named in the honour of this prolific writer of treatises on geometry and its application to the arts and architecture. His important writings, which had been lost, were published in 1864 by the mathematician and scientific historian Noël-Germinal Poudra (1794–1894). Poudra's two-volume edition of his treatises, republished here, reveals the major role played by Desargues in the scientific debates of the seventeenth century. It includes a biography of Desargues, in which Poudra discusses his role as architect, as well as his influence on famous scientists of his time including Pascal and Descartes. Poudra also reproduces some of the - often critical - responses to Desargues' work by his contemporaries.

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3.

Oeuvres de Desargues：VOLUME1

作者：Gérard Desargues 出版社：Cambridge Univ Pr 出版日：2011/11/10 裝訂：平裝

The French mathematician and engineer Gérard Desargues (1591–1661) was one of the founders of projective geometry. Desargues' theorem is named in the honour of this prolific writer of treatises on geometry and its application to the arts and architecture. His important writings, which had been lost, were published in 1864 by the mathematician and scientific historian Noël-Germinal Poudra (1794–1894). Poudra's two-volume edition, republished here, reveals the major role played by Desargues in the scientific debates of the seventeenth century. It includes a biography of Desargues, in which Poudra discusses his role as architect, as well as his influence on famous scientists of his time including Pascal and Descartes. Volume 1 contains the majority of Desargues' treatises, including 'Perspective' (1636), followed by an analysis by Poudra, and the 'Traité des Coniques' (1639), with a lexicon of the scientific terms used.

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4.

Oeuvres de Desargues：VOLUME2

作者：Gérard Desargues 出版社：Cambridge Univ Pr 出版日：2011/11/10 裝訂：平裝

The French mathematician and engineer Gérard Desargues (1591–1661) was one of the founders of projective geometry. Desargues' theorem is named in the honour of this prolific writer of treatises on geometry and its application to the arts and architecture. His important writings, which had been lost, were published in 1864 by the mathematician and scientific historian Noël-Germinal Poudra (1794–1894). Poudra's two-volume edition, republished here, reveals the major role played by Desargues in the scientific debates of the seventeenth century. It includes a biography of Desargues, in which Poudra discusses his role as architect, as well as his influence on famous scientists of his time including Pascal and Descartes. Volume 2 contains Poudra's analysis of the works of the engraver Abraham Bosse (1603–76), which develop some of Desargues' ideas. It also reproduces some of the - often critical - responses to Desargues' work by his contemporaries.

定價：2210 元，優惠價：9 1989

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5.

Werke 12 Volume Set in 14 Pieces

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts. Containing working notes and published treatises, geodesic survey data and astronomical observations, together with letters and reviews of work by Gauss' contemporaries, it provides a fascinating account of one of the great scientific minds of the nineteenth century.

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6.

Werke：VOLUME1

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 1 reproduces the 1801 Disquisitiones arithmeticae, a masterpiece of mathematical rigour, in which Gauss drew together and greatly extended the number-theoretic knowledge of his time. The final chapter, on the criterion for the constructibility of a regular polygon, solved a problem that had been open since antiquity.

定價：2880 元，優惠價：9 2592

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7.

Werke：VOLUME12

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 12, which appeared in 1929, contains a great variety of posthumous notes and fragments, scientific correspondence and even proposals for problems to be set at scientific competitions. The volume also includes a reproduction of Gauss' 1840 atlas of geomagnetism.

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8.

Theory of Groups of Finite Order

作者：William Burnside 出版社：Cambridge Univ Pr 出版日：2012/06/07 裝訂：平裝

The British mathematician William Burnside (1852–1927) and Ferdinand Georg Frobenius (1849–1917), Professor at Zurich and Berlin universities, are considered to be the founders of the modern theory of finite groups. Not only did Burnside prove many important theorems, but he also laid down lines of research for the next hundred years: two Fields Medals have been awarded for work on problems suggested by him. The Theory of Groups of Finite Order, originally published in 1897, was the first major textbook on the subject. The 1911 second edition (reissued here) contains an account of Frobenius's character theory, and remained the standard reference for many years.

定價：2545 元，優惠價：9 2291

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The Theory of the Imaginary in Geometry：Together with the Trigonometry of the Imaginary

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9.

The Theory of the Imaginary in Geometry：Together with the Trigonometry of the Imaginary

作者：John Leigh Smeathman Hatton 出版社：Cambridge Univ Pr 出版日：2011/02/10 裝訂：平裝

John Leigh Smeathman Hatton (1865–1933) was a British mathematician and educator. He worked for 40 years at a pioneering educational project in East London that began as the People's Palace and eventually became Queen Mary College in the University of London. Hatton served as its Principal from 1908 to 1933. This book, published in 1920, explores the relationship between imaginary and real non-Euclidean geometry through graphical representations of imaginaries under a variety of conventions. This relationship is of importance as points with complex determining elements are present in both imaginary and real geometry. Hatton uses concepts including the use of co-ordinate methods to develop and illustrate this relationship, and concentrates on the idea that the only differences between real and imaginary points exist solely in relation to other points. This clearly written volume exemplifies the type of non-Euclidean geometry research current at the time of publication.

定價：1540 元，優惠價：9 1386

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10.

Werke：VOLUME5

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 5, published in 1867, covers Gauss' work on mechanics and geomagnetism. It includes expositions of his principle of least constraint and the theory of capillarity. It also contains book reviews, and a description of the aurora borealis observed in January 1831.

定價：3617 元，優惠價：9 3255

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11.

Werke：VOLUME4

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 4, published in 1873, contains Gauss' theoretical work on differential geometry and probability, reviews of work by contemporaries including Herschel, and notes relating to geodesic surveys of the Kingdom of Hanover from the 1820s to the 1840s, together with a description of the heliotrope Gauss invented for the surveys.

定價：2880 元，優惠價：9 2592

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12.

Werke：VOLUME3

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 3, which appeared in 1866, focuses on analysis. It includes Gauss' work on elliptic functions and on power series, for which he gave the first convergence criteria, as well as his first (1799) proof of the fundamental theorem of algebra, and reviews of works by contemporaries including Fourier.

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13.

Werke：VOLUME2

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 2, which appeared in 1863, supplements Volume 1 with additional articles on number theory. It also contains book reviews and posthumous papers, including an unfinished eighth chapter of the Disquisitiones arithmeticae.

定價：2880 元，優惠價：9 2592

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14.

Werke：VOLUME9

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 9, which appeared in 1903, supplements the account in Volume 4 of geodesy, triangulation, and the geodesic survey of the Kingdom of Hanover. It includes both published work and previously unpublished notes found among Gauss' papers.

定價：3215 元，優惠價：9 2894

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15.

Werke：VOLUME8

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 8, published in 1900, supplements the first four volumes with further work on number theory, probability and differential geometry that was discovered posthumously among Gauss' papers. Gauss here engages with work by scholars including Lagrange, Legendre, Lobatschewsky and Möbius, and paves the way for non-Euclidean

定價：2880 元，優惠價：9 2592

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16.

Werke：VOLUME7

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. Volume 7, published in 1906, contains some of the most surprising material discovered among Gauss' papers: extensive calculations concerning the motion of Pallas. The volume also includes a reprint of Gauss' 1809 book on orbits, Theoria motus corporum coelestium, followed by his later updates and corrections.

定價：3617 元，優惠價：9 3255

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17.

Werke：VOLUME6

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. One of Gauss' key successes in astronomy was the prediction of the path of Ceres, leading to its rediscovery in 1801. The original reports about this dramatic course of events appear in Volume 6, published in 1874, which includes all of Gauss' publications on astronomy, book reviews and letters.

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18.

Werke：VOLUME10,Part 2

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. At the suggestion of Felix Klein, Gauss' twentieth-century successors planned a scientific biography consisting of essays covering the various areas in which he worked. Volume 10, Part II, (dated 1922–33) contains seven contributions, individually paginated and originally sold separately, relating to pure mathematics, probability

定價：3617 元，優惠價：9 3255

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19.

Werke：VOLUME10,Part 1

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

The genius of Carl Friedrich Gauss (1777–1855) and the novelty of his work (published in Latin, German, and occasionally French) in areas as diverse as number theory, probability and astronomy were already widely acknowledged during his lifetime. But it took another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence. This posthumous twelve-volume collection of Gauss' complete works, published between 1863 and 1933, marks the culmination of their efforts and provides a fascinating account of one of the great scientific minds of the nineteenth century. An invaluable source in tracing Gauss' development is his scientific diary, which was only discovered in 1898. Volume 10 Part I, published in 1917, contains a photographic reproduction of this manuscript and a detailed commentary, together with many letters about pure mathematics, and shorter works including a preface to Piazzi.

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20.

G. Lejeune Dirichlet's Werke：VOLUME2

作者：Peter Gustav Lejeune Dirichlet 出版社：Cambridge Univ Pr 出版日：2012/06/14 裝訂：平裝

The great nineteenth-century mathematician Peter Gustav Lejeune Dirichlet (1805–59) studied in Paris, coming under the influence of scholars including Fourier and Legendre. He then taught at Berlin and Göttingen universities, where he was the successor to Gauss and mentor to Riemann and Dedekind. His achievements include the first satisfactory proof of the convergence of Fourier series under appropriate conditions, and the theorem on primes in arithmetic progression which was, at the same time, the foundation of analytic number theory and one of its greatest achievements. He also did important work on Laplace's equation, the theory of series and many other topics. This two-volume collection of his works, published 1889–97, was compiled by Leopold Kronecker (1823–91). Volume 2 was completed by Lazarus Fuchs (1833–1902) and contains Dirichlet's publications from 1844 onwards, together with some unpublished papers and selected correspondence with Gauss, Alexander von Humboldt and

定價：2210 元，優惠價：9 1989

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Oeuvres completes de Niels Henrik Abel

Oeuvres de Desargues 2 Volume Set

Oeuvres de Desargues：VOLUME1

Oeuvres de Desargues：VOLUME2

Werke 12 Volume Set in 14 Pieces

Werke：VOLUME1

Werke：VOLUME12

Theory of Groups of Finite Order

The Theory of the Imaginary in Geometry：Together with the Trigonometry of the Imaginary

Werke：VOLUME5

Werke：VOLUME4

Werke：VOLUME3

Werke：VOLUME2

Werke：VOLUME9

Werke：VOLUME8

Werke：VOLUME7

Werke：VOLUME6

Werke：VOLUME10,Part 2

Werke：VOLUME10,Part 1

G. Lejeune Dirichlet's Werke：VOLUME2