The mathematical works of Bernard Bolzano / [edited by] Steve Russ.
Pubblicazione:
Oxford : Oxford university press, 2004.
Descrizione fisica:
XXX, 698 p. : ill., ritr. ; 25 cm
Contiene:
Indice: List of illustrations. Abbreviations. Preface. Note on the texts. Note on the translations. Introduction. Pt. 1. Geometry and foundations: 1. Considerations on some objects of elementary geometry (BG) 2. Contributions to a better-grounded presentation of mathematics (BD). Pt. 2. Early analysis: 1. The binomial theorem and as a consequence from it the polynomial theorem and the series which serve for the calculation of logarithmic and exponential quantities proved more strictly than before (BL) 2. Purely analytic proof of the theorem, that between any two values, which give results of opposite sign, there lies at least one real root of the equation (RB) 3. The three problems of rectification, complanation and cubature, solved without consideration of the infinitely small, without the hypotheses of Archimedes and without any assumption which is not strictly provable, this is also being presented for the scrutiny of all mathematicians as a sample of a completely reorganisation of the science of space (DP). Pt. 3. Later analysis and the infinite: 1. Pure theory of numbers: seventh section: infinite quantity concepts (RZ) 2. Theory of functions (F) 3. Improvmements and additions to the theory of functions (F+) 4. Paradoxes of the infinite (PU). Selected works of Bernard Bolzano. Bibliography. Name index. Subject index
