# Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers

## Schroder, Bernd S. W.

4 valoración promedio
( 1 valoraciones por GoodReads )

Críticas:

"This is a lovely introduction to mathematics. The book gives an elegant construction of the familiar number systems while at the same time introducing the student to mathematical logic, set theory and rigorous mathematical proof." (Zentralblatt MATH, 2011)

Reseña del editor:

An accessible introduction to abstract mathematics with an emphasis on proof writing

Addressing the importance of constructing and understanding mathematical proofs, Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics. The author supplies a seamless, hands-on presentation of number systems, utilizing key elements of logic and set theory and encouraging readers to abide by the fundamental rule that you are not allowed to use any results that you have not proved yet.

The book begins with a focus on the elements of logic used in everyday mathematical language, exposing readers to standard proof methods and Russell's Paradox. Once this foundation is established, subsequent chapters explore more rigorous mathematical exposition that outlines the requisite elements of Zermelo-Fraenkel set theory and constructs the natural numbers and integers as well as rational, real, and complex numbers in a rigorous, yet accessible manner. Abstraction is introduced as a tool, and special focus is dedicated to concrete, accessible applications, such as public key encryption, that are made possible by abstract ideas. The book concludes with a self-contained proof of Abel's Theorem and an investigation of deeper set theory by introducing the Axiom of Choice, ordinal numbers, and cardinal numbers.

Throughout each chapter, proofs are written in much detail with explicit indications that emphasize the main ideas and techniques of proof writing. Exercises at varied levels of mathematical development allow readers to test their understanding of the material, and a related Web site features video presentations for each topic, which can be used along with the book or independently for self-study.

Classroom-tested to ensure a fluid and accessible presentation, Fundamentals of Mathematics is an excellent book for mathematics courses on proofs, logic, and set theory at the upper-undergraduate level as well as a supplement for transition courses that prepare students for the rigorous mathematical reasoning of advanced calculus, real analysis, and modern algebra. The book is also a suitable reference for professionals in all areas of mathematics education who are interested in mathematical proofs and the foundation upon which all mathematics is built.

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro
EUR 72,66

Gastos de envío: EUR 3,23

Destinos, gastos y plazos de envío

## 1.Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers Format: Cloth

Editorial: John Wiley and Sons
ISBN 10: 0470551380 ISBN 13: 9780470551387
Librería
INDOO
(Avenel, NJ, Estados Unidos de America)
Valoración

Descripción John Wiley and Sons. Estado de conservación: New. Brand New. Nº de ref. de la librería 0470551380

Comprar nuevo
EUR 72,66
Convertir moneda
Gastos de envío: EUR 3,23
Destinos, gastos y plazos de envío

## 2.Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers (Hardback)

Editorial: John Wiley and Sons Ltd, United States (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Tapa dura Primera edición Cantidad: 1
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción John Wiley and Sons Ltd, United States, 2010. Hardback. Estado de conservación: New. 1. Auflage. 238 x 160 mm. Language: English . Brand New Book. An accessible introduction to abstract mathematics with an emphasis on proof writing Addressing the importance of constructing and understanding mathematical proofs, Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics. The author supplies a seamless, hands-on presentation of number systems, utilizing key elements of logic and set theory and encouraging readers to abide by the fundamental rule that you are not allowed to use any results that you have not proved yet. The book begins with a focus on the elements of logic used in everyday mathematical language, exposing readers to standard proof methods and Russell s Paradox. Once this foundation is established, subsequent chapters explore more rigorous mathematical exposition that outlines the requisite elements of Zermelo-Fraenkel set theory and constructs the natural numbers and integers as well as rational, real, and complex numbers in a rigorous, yet accessible manner. Abstraction is introduced as a tool, and special focus is dedicated to concrete, accessible applications, such as public key encryption, that are made possible by abstract ideas. The book concludes with a self-contained proof of Abel s Theorem and an investigation of deeper set theory by introducing the Axiom of Choice, ordinal numbers, and cardinal numbers. Throughout each chapter, proofs are written in much detail with explicit indications that emphasize the main ideas and techniques of proof writing. Exercises at varied levels of mathematical development allow readers to test their understanding of the material, and a related Web site features video presentations for each topic, which can be used along with the book or independently for self-study. Classroom-tested to ensure a fluid and accessible presentation, Fundamentals of Mathematics is an excellent book for mathematics courses on proofs, logic, and set theory at the upper-undergraduate level as well as a supplement for transition courses that prepare students for the rigorous mathematical reasoning of advanced calculus, real analysis, and modern algebra. The book is also a suitable reference for professionals in all areas of mathematics education who are interested in mathematical proofs and the foundation upon which all mathematics is built. Nº de ref. de la librería AAH9780470551387

Comprar nuevo
EUR 79,18
Convertir moneda
Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 3.Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers (Hardback)

Editorial: John Wiley and Sons Ltd, United States (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Tapa dura Primera edición Cantidad: 1
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción John Wiley and Sons Ltd, United States, 2010. Hardback. Estado de conservación: New. 1. Auflage. 238 x 160 mm. Language: English . Brand New Book. An accessible introduction to abstract mathematics with an emphasis on proof writing Addressing the importance of constructing and understanding mathematical proofs, Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics. The author supplies a seamless, hands-on presentation of number systems, utilizing key elements of logic and set theory and encouraging readers to abide by the fundamental rule that you are not allowed to use any results that you have not proved yet. The book begins with a focus on the elements of logic used in everyday mathematical language, exposing readers to standard proof methods and Russell s Paradox. Once this foundation is established, subsequent chapters explore more rigorous mathematical exposition that outlines the requisite elements of Zermelo-Fraenkel set theory and constructs the natural numbers and integers as well as rational, real, and complex numbers in a rigorous, yet accessible manner. Abstraction is introduced as a tool, and special focus is dedicated to concrete, accessible applications, such as public key encryption, that are made possible by abstract ideas. The book concludes with a self-contained proof of Abel s Theorem and an investigation of deeper set theory by introducing the Axiom of Choice, ordinal numbers, and cardinal numbers. Throughout each chapter, proofs are written in much detail with explicit indications that emphasize the main ideas and techniques of proof writing. Exercises at varied levels of mathematical development allow readers to test their understanding of the material, and a related Web site features video presentations for each topic, which can be used along with the book or independently for self-study. Classroom-tested to ensure a fluid and accessible presentation, Fundamentals of Mathematics is an excellent book for mathematics courses on proofs, logic, and set theory at the upper-undergraduate level as well as a supplement for transition courses that prepare students for the rigorous mathematical reasoning of advanced calculus, real analysis, and modern algebra. The book is also a suitable reference for professionals in all areas of mathematics education who are interested in mathematical proofs and the foundation upon which all mathematics is built. Nº de ref. de la librería AAH9780470551387

Comprar nuevo
EUR 79,51
Convertir moneda
Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 4.Fundamentals of Mathematics

Editorial: Wileyand#8211;Blackwell (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Librería
Books2Anywhere
(Fairford, GLOS, Reino Unido)
Valoración

Descripción Wileyand#8211;Blackwell, 2010. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería FW-9780470551387

Comprar nuevo
EUR 69,97
Convertir moneda
Gastos de envío: EUR 10,38
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 5.Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers

Editorial: Wiley (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
Valoración

Descripción Wiley, 2010. Hardcover. Estado de conservación: New. 1. Nº de ref. de la librería DADAX0470551380

Comprar nuevo
EUR 102,58
Convertir moneda
Gastos de envío: EUR 3,68
Destinos, gastos y plazos de envío

## 6.Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers

Editorial: Wiley (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Librería
Irish Booksellers
(Rumford, ME, Estados Unidos de America)
Valoración

Descripción Wiley, 2010. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0470551380

Comprar nuevo
EUR 110,77
Convertir moneda
Gastos de envío: GRATIS
Destinos, gastos y plazos de envío

## 7.Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers

Editorial: Wiley (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
Valoración

Descripción Wiley, 2010. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110470551380

Comprar nuevo
EUR 113,22
Convertir moneda
Gastos de envío: EUR 2,76
Destinos, gastos y plazos de envío

## 8.Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers

Editorial: John Wiley & Sons Inc (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Librería
Revaluation Books
(Exeter, Reino Unido)
Valoración

Descripción John Wiley & Sons Inc, 2010. Hardcover. Estado de conservación: Brand New. 1st edition. 338 pages. 9.25x6.00x0.75 inches. In Stock. Nº de ref. de la librería __0470551380

Comprar nuevo
EUR 116,37
Convertir moneda
Gastos de envío: EUR 6,92
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 9.Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers (Hardcover)

ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Tapa dura Primera edición Cantidad: 1
Librería
AussieBookSeller
(SILVERWATER, NSW, Australia)
Valoración

Descripción 2010. Hardcover. Estado de conservación: New. 1st. 155mm x 23mm x 236mm. Hardcover. An accessible introduction to abstract mathematics with an emphasis on proof writing Addressing the importance of constructing and understanding mathematical proofs, Fundament.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 338 pages. 0.635. Nº de ref. de la librería 9780470551387

Comprar nuevo
EUR 102,90
Convertir moneda
Gastos de envío: EUR 25,81
De Australia a Estados Unidos de America
Destinos, gastos y plazos de envío

## 10.Fundamentals of Mathematics

Editorial: Wiley-Blackwell (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Librería
Media Mall
(Fyshwick, ACT, Australia)
Valoración

Comprar nuevo
EUR 124,49
Convertir moneda
Gastos de envío: EUR 10,97
De Australia a Estados Unidos de America
Destinos, gastos y plazos de envío