Name: A Bridge to Higher Mathematics (en Inglés)
Price: 230070.00 CLP
Availability: InStock
Author: Deaconu, Valentin ; Pfaff, Donald C.
ISBN: 9781138441637

portada A Bridge to Higher Mathematics (en Inglés)

Formato

Libro Físico

Autor

Valentin Deaconu

Donald C. Pfaff

Editorial

CRC Press

Idioma

Inglés

N° páginas

220

Encuadernación

Tapa Dura

ISBN13

9781138441637

N° edición

Categorías

Lógica matemática
Teoría de los conjuntos
Análisis funcional y transformaciones

A Bridge to Higher Mathematics (en Inglés)

Valentin Deaconu (Autor) · Donald C. Pfaff (Autor) · CRC Press · Tapa Dura

Libro Físico

$ 230.070

$ 383.450

Ahorras: $ 153.380

40% descuento

Envío normal

Origen: Reino Unido (Costos de importación incluídos en el precio)

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Reseña del libro "A Bridge to Higher Mathematics (en Inglés)"

A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems. The emphasis is on proof. To progress towards mathematical maturity, it is necessary to be trained in two aspects: the ability to read and understand a proof and the ability to write a proof. The journey begins with elements of logic and techniques of proof, then with elementary set theory, relations and functions. Peano axioms for positive integers and for natural numbers follow, in particular mathematical and other forms of induction. Next is the construction of integers including some elementary number theory. The notions of finite and infinite sets, cardinality of counting techniques and combinatorics illustrate more techniques of proof. For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn's lemma and the axiom of choice are included. More challenging problems are marked with a star. All these materials are optional, depending on the instructor and the goals of the course.