Muir T. Theory of Determinants vol.4

Oxford University Press, 1999. - 240 pages. First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical...

Springer, 2001. - 174 pages. This book presents the technical core of Chaitin's theory of program-size complexity, also known as algorithmic information theory. LISP is used to present the key algorithms and to enable computer users to interact with the author's proofs and discover for themselves how they work.

Princeton University Press, 1979. - 414 pages. One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has...

Princeton University Press, 1993. - 408 pages. This volume explains ideas in mathematics to the non-specialist, highlighting the field's philosophical and historical interest. The main topics discussed are non-Euclidean geometry, number theory, with its application to cryptography, and fractals.

Springer, 2000. - 514 pages. This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisenstein's reciprocity...

L., MacMillan, 1911. - 489p. Второй том многотомного труда по истории создания теории определителей и ранним работам по матричному исчислению посвящён работам с 1841 по 1860 год. Представляет интерес в основном, как факт истории математики. Для исследователей истории математики

L., MacMillan, 1906. - 503p. Первый том многотомного труда по истории создания теории определителей и ранним работам по матричному исчислению посвящён работам вплоть до 1841 года. Представляет интерес в основном, как факт истории математики. Для исследователей истории математики.

L., MacMillan, 1920. - 527p. Третий том многотомного труда по истории создания теории определителей и ранним работам по матричному исчислению посвящён работам с 1861 по 1880 год. Представляет интерес в основном, как факт истории математики. Для исследователей истории математики.

Oxford University Press, USA, 2001. - 440 pages. For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. The present book sets off by tracing the evolution of mathematical analysis, and then endeavors to understand the developments of main trends, problems, and conjectures. It features chapters on general topology, 'classical' integration and measure theory, functional analysis, harmonic analys...

AMS, 2006. - 302 Pages. Euler is one of the greatest and most prolific mathematicians of all time. He wrote the first accessible books on calculus, created the theory of circular functions, and discovered new areas of research such as elliptic integrals, the calculus of variations, graph theory, divergent series, and so on. It took hundreds of years for his successors to develop in full the theories he began, and some of his themes are still at...