Formal Proofs in Maths: Book 1 First Order Algebra: Volume 1 - Brossura

Lavranos, Mr Chris Nikolas; Batalas, Mr Labros Asterios; Lamogiannis, Mr Konstantinos Odysseas

Brossura

ISBN 10: 1514634449 ISBN 13: 9781514634448

Casa editrice: CreateSpace Independent Publishing Platform, 2015

Riassunto

The scope of Formal Proofs in Maths is to teach students between higher school classes and University undergraduate or postgraduate studies , how to write a formal proof with the true meaning of the concept, of simple theorems in Algebra, particulary in identities concerning equalities, equations and inequalities. This is accomplished by writing four different types of proof namely type(A), type(B), type(C) and type(D) for each theorem or exercise. In TYPE(A) ordinary proofs will be cited in the usual narrative style used by experienced mathematicians. In TYPE(B) a rigorous proof in steps will be introduced to the reader. Each line of that proof will be justified by an appropriate axiom, theorem or definition. In TYPE(C) we will try for a smooth transition from a rigorous proof to a formal proof exposing the way that the laws of logic apply on one or more statements of the proof. In TYPE(D) we will simply write in tabular stepwise form, the results of TYPE(C) mentioning both: 1) Axioms, theorems or definitions. 2) The laws of logic. Hence, finally producing a formal proof according to the definition given in the preface note of the book.

Dettagli dell'edizione

• Editore: CreateSpace Independent Publishing Platform
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 1514634449
• ISBN 13: 9781514634448
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 122
• Contatto del produttore: Manufactured by Amazon on behalf of the author; https://www.amazon.it/hz/contact-us; ; c/o Amazon Media EU S.à.r.l., 38 Avenue John F. Kennedy; Luxembourg; L-1855; Lussemburgo