Найти книгу: "Introduction to Mathematical Thinking"

This enlightening survey of mathematical concept formation holds a natural appeal to philosophically minded readers, and no formal training in mathematics is necessary to appreciate its clear exposition of mathematic fundamentals. Rather than a system of theorems with completely developed proofs or examples of applications, readers will encounter a coherent presentation of mathematical ideas that begins with the natural numbers and basic laws of arithmetic and progresses to the problems of the real-number continuum and concepts of the calculus.Contents include examinations of the various types of numbers and a criticism of the extension of numbers; arithmetic, geometry, and the rigorous construction of the theory of integers; the rational numbers, the foundation of the arithmetic of natural numbers, and the rigorous construction of elementary arithmetic. Advanced topics encompass the principle of complete induction; the limit and point of accumulation; operating with sequences and differential quotient; remarkable curves; real numbers and ultrareal numbers; and complex and hypercomplex numbers.In issues of mathematical philosophy, the author explores basic theoretical differences that have been a source of debate among the most prominent scholars and on which contemporary mathematicians remain divided. «With exceptional clarity, but with no evasion of essential ideas, the author outlines the fundamental structure of mathematics.» — Carl B. Boyer, Brooklyn College. 27 figures. Index.

Полный вариант заголовка: «Introduction a la philosophie, contenant la metaphysique et la logique / par G.J. 's Gravesande ; traduite du latin ; nouvelle edition revue, corrigee, et augmentee de l'art de raisonner par syllogismes».

Полный вариант заголовка: «Introduction a la vie devote de Saint Francois de Sales, Eveque et Prince de Geneve, fondateur de l'Ordre de la Visitation de Sainte Marie / revue par le R.P.J. Brignon, de la Compagnie de Jesus, et augmentee d'un exercice spirituel durant la sainte Messe».

Полный вариант заголовка: «Introduction to the English reader : or a selection of pieces in prose and poetry : calculated to improve the younger classes of learners in reading : and to imbur their minds with the love of virtue : to which are added rules and observations for assisting children to read with propriety / by Lindley Murray».

Полный вариант заголовка: «Introduction a la philosophie : de la connaissance de Dieu et de soi-meme / par Bossuet, eveque de Meaux».

Примечание: Введение в Новый Завет. Полный вариант заголовка: «Introduction au Nouveau Testament : Tome 4. Partie 2 : 4 edition, traduite sur la 3 edition de Herbert Marsh, eveque de Peterborough, faite a Londres en 1819 / par Jean-David Michaelis ; avec une partie des notes de S.G. et des notes nouvelles, par J.J. Cheneviere».