Oeuvres completes: Volume 5 (Cambridge Library Collection - Mathematics)
by Augustin-Louis Cauchy
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons s...
Integrability in Dynamical Systems (Annals of the New York Academy of Sciences, Vol 536)
This book offers a detailed history of parametric statistical inference. Covering the period between James Bernoulli and R.A. Fisher, it examines: binomial statistical inference; statistical inference by inverse probability; the central limit theorem and linear minimum variance estimation by Laplace and Gauss; error theory, skew distributions, correlation, sampling distributions; and the Fisherian Revolution. Lively biographical sketches of many of the main characters are featured throughout, in...
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...
A monumental accomplishment in the history of non-Western mathematics, The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years. Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts-the classic ancient Chin...
Mathematical Tables (Cambridge Library Collection - Mathematics)
by Charles Hutton and Olinthus Gregory
Prior to the advent of computers, no mathematician, physicist or engineer could do without a volume of tables of logarithmic and trigonometric functions. These tables made possible certain calculations which would otherwise be impossible. Unfortunately, carelessness and lazy plagiarism meant that the tables often contained serious errors. Those prepared by Charles Hutton (1737-1823) were notable for their reliability and remained the standard for a century. Hutton had risen, by mathematical abil...
'Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the GalaxyWe human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the inf...
The Mathematical Coloring Book (Lecture Notes in Computer Science)
by Olav Giere and Alexander Soifer
This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdoes, B.L. van der Waerden, and Henry Baudet.
C. G. J. Jacobi's Gesammelte Werke: Volume 3 (Cambridge Library Collection - Mathematics)
by Carl Gustav Jacob Jacobi
One of the greatest mathematicians of the nineteenth century, Carl Gustav Jacob Jacobi (1804-51) burst into the limelight with his redevelopment, together with Niels Henrik Abel (1802-29), of the theory of elliptic functions. His pioneering work was characterised by the variety of problems tackled and the power of the tools used to tackle them. His lasting influence on rational mechanics, number theory, partial differential equations, complex variable theory and computation is marked by the numb...
The New Quantum Mechanics (Cambridge Library Collection - Mathematics)
by George Birtwistle
George Birtwistle (1877-1929) published The New Quantum Mechanics in 1928. His stated aim was to give a detailed account of work which had brought the relatively new subject of quantum mechanics to the fore in the previous few years. The earlier chapters give a restatement of Alfred Lande's theory of multiplets which reconciles it with the new mechanics which follow. Later chapters present the matrix theory of Heisenberg, the q-number theory of Dirac and the wave mechanics of Schroedinger, and s...
Though there are a number of well-written works on Chinese divination, there are none that deal with the three sophisticated devices that were employed by the Chinese Astronomical Bureau in the eleventh century and for hundreds of years thereafter. Chinese experts applied the methods associated with these devices to both weather forecasting and to the interpretation of human affairs. Hidden by a veil of secrecy, these methods have always been relatively little known other than by their names....
Thomas Reid on Mathematics and Natural Philosophy (Edinburgh Edition of Thomas Reid, #9)
by Paul Wood, Thomas Reid, Andrea Eckersley, Antonia Pont, and Jon Roffe
A philosopher, scholar of the natural world, and gifted mathematician, Thomas Reid holds a distinctive place in the Scottish Enlightenment. This volume reconstructs Reid's lifelong engagement with the physical sciences and makes clear why these fields were central to his epistemology and moral and social philosophy.Placing Reid's "Essay on Quantity" alongside his previously unpublished writings on mathematics and the physical sciences, Paul Wood shows that, in contrast to Francis Hutcheson and D...
Mathematical and Physical Papers Volume 5
by William Thomson Kelvin and Baron William Thomson Kelvin
The Imo Compendium (Problem Books in Mathematics)
by Dusan Djukic, Vladimir Z Jankovic, and Ivan Matic
This is the ultimate collection of challenging high-school-level mathematics problems. It is the result of a two year long collaboration to rescue these problems from old and scattered manuscripts, and produce the definitive source of IMO practice problems in book form for the first time. This book attempts to gather all the problems and solutions appearing on the IMO and contains a grand total of 1900 problems. It is an invaluable resource for high-school students preparing for mathematics comp...
Von Den ltesten Zeiten Bis Zur Wende Des 17. Jahrhunderts (Sammlung G Schen, #226)
by Heinrich Wieleitner
This volume is a collection of original essay, most never published, on Einstein's formative years. Topics are extensive, from Einstein's first wife, to his early readings, university education, and influences that shaped his thinking on statistical mechanics and relativity theory.
Using History to Teach Mathematics (Anneli Lax New Mathematical Library)
There is a long tradition of relating the history of mathematics to its teaching, and increasingly this has extended throughout mathematical education. This volume brings together articles from well known figures in this area, and provides many insights, both in particular cases and in generality, into how the history of mathematics can find application in the teaching of mathematics itself. Educators at all levels, and mathematicians interested in the history of their subject, will find much of...