Monographs on Topics of Modern Mathematics (Classic Reprint) - Couverture souple

Young, J.

Couverture souple

ISBN 10 : 1334453292 ISBN 13 : 9781334453298

Editeur : Forgotten Books, 2018

Synopsis

Foundations and topics of modern mathematics explored for the elementary field A curated collection edited by J. W. A. Young, presenting a scientific treatment of key areas in higher math with direct relevance to teachers and students at the secondary level. This edition gathers monographs that aim to connect advanced ideas with elementary mathematics, offering both full proofs and accessible overviews. The volume is a product of the early 20th‑century effort to widen mathematical horizons for educators and learners.

This edition covers foundational topics and classic developments, including geometry, algebra, and number theory, with emphasis on ideas that illuminate the elementary field. It blends thorough treatment with reader‑friendly exposition, while acknowledging the diversity of prerequisites among readers. The collection is shaped to stand alone as an independent unit, readable without requiring access to the other monographs.

• The Foundations of Geometry by Oswald Veblen and related topics in modern geometry and its applications.


• Non‑Euclidean geometry, including parallelism and curvature, and how these ideas relate to classical geometry.


• The Fundamental Propositions of Algebra and the Algebraic Equation, exposing core algebraic structures.


• The Function Concept and the Fundamental Notions of the Calculus, introducing key ideas that link algebra and analysis.


• The Theory of Numbers, with factors, congruences, and Diophantine concerns.


• Constructions with ruler and compass, including regular polygons and classic geometric constructions.


• The History and Transcendence of pi, and other historical perspectives on foundational questions in mathematics.

Ideal for teachers, students, and readers seeking a broad, structured view of important mathematical topics as they connect to the elementary field. It is especially suitable for those who want both depth and context in a self‑contained format.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1334453292
• ISBN 13: 9781334453298
• Reliure: Broché
• Nombre de pages: 424
• Coordonnées du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com; gpsr@podww.com; ; 9 Culley Court; Orton Southgate; Peterborough; Cambridgeshire; PE2 6WA; Royaume-Uni
• Personne responsable: Easy Access System Europe Oü, 16879218; +358405003575; gpsr.requests@easproject.com; ; Mustamäe tee 50; Tallinn; 10621; Estonie