cambridge library collection mathematics

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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.

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定價：1540 元，優惠價：9 1386

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2.

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another three generations of mathematicians to reveal the true extent of his output as they studied Gauss' extensive unpublished papers and his voluminous correspondence.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.

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定價：3617 元，優惠價：9 3255

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3.

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.

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定價：2880 元，優惠價：9 2592

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4.

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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定價：3617 元，優惠價：9 3255

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5.

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.

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定價：2880 元，優惠價：9 2592

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6.

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.

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定價：3215 元，優惠價：9 2894

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7.

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

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定價：2880 元，優惠價：9 2592

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8.

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.

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定價：3617 元，優惠價：9 3255

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9.

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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定價：3617 元，優惠價：9 3255

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10.

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

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定價：3617 元，優惠價：9 3255

11.

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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90折

12.

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

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定價：2210 元，優惠價：9 1989

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13.

G. Lejeune Dirichlet's Werke：VOLUME1

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 1 contains works published by Dirichlet up to 1843, together with a related 1846 essay.

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定價：2880 元，優惠價：9 2592

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14.

Werke：VOLUME11,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 11, Part II (dated 1924–9) contains three contributions, individually paginated and originally sold separately, relating to geodesy, physics and astronomy.

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定價：3617 元，優惠價：9 3255

15.

Werke：VOLUME11,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. Volume 11 Part I, which appeared in 1927, supplements volumes 5 to 7 with additional material on physics (particularly magnetism) and both theoretical and practical astronomy. It also contains a substantial amount of scientific correspondence with scholars including Schumacher, Olbers and Bessel.

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Rapport historique sur les progrès des sciences mathématiques depuis 1789, et sur leur état actuel

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16.

Rapport historique sur les progrès des sciences mathématiques depuis 1789, et sur leur état actuel

作者：Jean-Baptiste Joseph Delambre 出版社：Cambridge Univ Pr 出版日：2011/11/03 裝訂：平裝

In 1808, Napoleon I (1769–1821), emperor of the French from 1804 to 1815, commissioned a series of official reports on the progress of scientific research since 1789. First published in 1810, this report on the current state of mathematics was written by French mathematician and astronomer Jean-Baptiste Joseph Delambre (1749–1822). A Professor at the Collège de France and Director of the Paris Observatory, Delambre was appointed permanent secretary for the mathematical sciences of the Academy of Science in 1801. As such, he was charged with examining the state of mathematics in higher educational establishments, and with presenting an overview of the progress accomplished during Napoleon's reign in the fields of geometry, algebra, astronomy and geography. This report includes a chapter on the metric system, which Delambre was instrumental in determining via the measurement of the meridian between the north pole and the equator in 1792.

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定價：1607 元，優惠價：9 1446

Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium

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17.

Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium

作者：Carl Friedrich Gauss 出版社：Cambridge Univ Pr 出版日：2011/05/19 裝訂：平裝

Described by one reviewer as 'one of the most perfect books ever written on theoretical astronomy', this work in Latin by the German mathematician Carl Friedrich Gauss (1777–1855), the 'Prince of Mathematicians', derived from his attempt to solve an astronomical puzzle: where in the heavens would the dwarf planet Ceres, first sighted in 1801, reappear? Gauss' predicted position was correct to within half a degree, and this led him to develop a streamlined and sophisticated method of calculating the effect of the larger planets and the sun on the orbits of planetoids, which he published in 1809. As well as providing a tool for astronomers, Gauss' method also offered a way of reducing inaccuracy of calculations arising from measurement error; the primacy of this discovery was however disputed between him and the French mathematician Legendre, whose Essai sur la théorie des nombres is also reissued in this series.

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定價：1875 元，優惠價：9 1688

18.

G. Lejeune Dirichlet's Werke 2 Volume Set

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 1 contains works published by Dirichlet up to 1843 and a related 1846 essay. Volume 2, completed by Lazarus Fuchs (1833–1902), contains Dirichlet's later publications, unpublished papers and selected correspondence.

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02-25006600[分機130、131]。

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Oeuvres complètes de Niels Henrik Abel：Nouvelle édition：VOLUME2

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19.

Oeuvres complètes de Niels Henrik Abel：Nouvelle édition：VOLUME2

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 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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定價：2009 元，優惠價：9 1808

Oeuvres complètes de Niels Henrik Abel：Nouvelle édition：VOLUME1

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20.

Oeuvres complètes de Niels Henrik Abel：Nouvelle édition：VOLUME1

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', which states that the general fifth-degree polynomial is unsolvable by algebraic means. Also included in this volume is Abel's 'Paris memoir', which contains his many fundamental results on transcendental functions - in particular on elliptic integrals, elliptic functions, and what are known today as abelian integrals.

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定價：2880 元，優惠價：9 2592

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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

G. Lejeune Dirichlet's Werke：VOLUME1

Werke：VOLUME11,Part 2

Werke：VOLUME11,Part 1

Rapport historique sur les progrès des sciences mathématiques depuis 1789, et sur leur état actuel

Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium

G. Lejeune Dirichlet's Werke 2 Volume Set

Oeuvres complètes de Niels Henrik Abel：Nouvelle édition：VOLUME2

Oeuvres complètes de Niels Henrik Abel：Nouvelle édition：VOLUME1