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Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.

Mathematics --- Philosophy. --- Logic of mathematics --- Mathematics, Logic of --- Philosophy --- Descartes, René, --- Descartes, Renatus --- Cartesius, Renatus --- Descartes, René --- Mathematics. --- History. --- Philosophy and science. --- History of Mathematical Sciences. --- History of Philosophy. --- History, general. --- Philosophy of Science. --- Science and philosophy --- Science --- Mental philosophy --- Humanities --- Annals --- Auxiliary sciences of history --- Math

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Most Honourable Remembrance provides an in-depth discussion of the life and work of Thomas Bayes, an eighteenth-century Presbyterian minister and lay mathematician who planted the seed of modern Bayesian Statistics in 1763 with his posthumous, An Essay Towards Solving a Problem in the Doctrine of Chances. After biographical details of Bayes' ancestors, consideration is turned to what is known of Thomas Bayes, the time in which he lived, and also the town in which he spent the major part of his professional life, Tunbridge Wells. Bayes' published works, ranging from a theological tract to one on fluxions, are reprinted in full and commented upon. Unpublished works, with commentary, are also included, special attention being given to a manuscript notebook in which some early work on a result from the above mentioned Essay may be found. The book concludes with a chapter on Bunhill Fields Burial Ground, where the Bayes family vault is still to be seen and where many prominent Nonconformists were interred. This book is the first to provide a biography and full discussion of Bayes' works and will be of interest to modern Bayesian statisticians as well as to mathematicians who may well be surprised at some of the mathematical insights shown by Bayes and which are not generally known to be attributable to him.

Statisticians --- Bayes, Thomas, --- Bayes, Thomas --- Statisticiens --- Biography --- Biographie --- EPUB-LIV-FT SPRINGER-B --- Mathematics. --- History. --- Statistics. --- History of Mathematical Sciences. --- Statistical Theory and Methods. --- Mathematical statistics. --- Biography. --- Statistics . --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Annals --- Auxiliary sciences of history --- Math --- Science

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Abel's influence on modern mathematics is substantial. This is seen in many ways, but maybe clearest in the number of mathematical terms containing the adjective Abelian. In algebra, algebraic and complex geometry, analysis, the theory of differential and integral equations, and function theory there are terms like Abelian groups, Abelian varieties, Abelian integrals, Abelian functions. A number of theorems are attributed to Abel. The famous Addition Theorem of Abel, proved in his Paris Mémoire, stands out, even today, as a mathematical landmark. This book, written by some of the foremost specialists in their fields, contains important survey papers on the history of Abel and his work in several fields of mathematics. The purpose of the book is to combine a historical approach to Abel with an overview of his scientific legacy as perceived at the beginning of the 21st century.

Differential equations --- Geometry, Algebraic --- Equations différentielles --- Congresses --- Congresses. --- Congrès --- Abel, Niels Henrik, --- Abel, Niels Henrik (1802-1829) --- Abel, Niels Henrik --- Algebraic geometry. --- Mathematical analysis. --- Analysis (Mathematics). --- Functional analysis. --- Mathematics. --- History. --- Differential equations. --- Partial differential equations. --- Algebraic Geometry. --- Analysis. --- Functional Analysis. --- History of Mathematical Sciences. --- Ordinary Differential Equations. --- Partial Differential Equations. --- Partial differential equations --- 517.91 Differential equations --- Annals --- Auxiliary sciences of history --- Math --- Science --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- 517.1 Mathematical analysis --- Mathematical analysis --- Algebraic geometry --- Geometry