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

4 valoración promedio
( 1 valoraciones por GoodReads )
 
9780470551387: Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers
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.

Los mejores resultados en AbeBooks

1.

Bernd S. W. Schroder (Louisiana Tech Univ., LA )
Editorial: John Wiley and Sons
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Cantidad: > 20
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 72,66
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,23
A Estados Unidos de America
Destinos, gastos y plazos de envío

2.

Bernd S. W. Schroder
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 79,18
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

3.

Bernd S. W. Schroder
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 79,51
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

4.

Bernd S. W. Schrand#38;ouml;der
Editorial: Wileyand#8211;Blackwell (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Cantidad: 1
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 69,97
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 10,38
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

5.

Bernd S. W. Schröder
Editorial: Wiley (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Tapa dura Cantidad: 1
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 102,58
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 3,68
A Estados Unidos de America
Destinos, gastos y plazos de envío

6.

Bernd S. W. Schröder
Editorial: Wiley (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Tapa dura Cantidad: 1
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 110,77
Convertir moneda

Añadir al carrito

Gastos de envío: GRATIS
A Estados Unidos de America
Destinos, gastos y plazos de envío

7.

Schröder, Bernd S. W.
Editorial: Wiley (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Tapa dura Cantidad: 3
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 113,22
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 2,76
A Estados Unidos de America
Destinos, gastos y plazos de envío

8.

Schroder, Bernd S. W.
Editorial: John Wiley & Sons Inc (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Tapa dura Cantidad: 1
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 116,37
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 6,92
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

9.

Bernd S.W. Schroder
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

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 102,90
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 25,81
De Australia a Estados Unidos de America
Destinos, gastos y plazos de envío

10.

Bernd S. W. Schröder
Editorial: Wiley-Blackwell (2010)
ISBN 10: 0470551380 ISBN 13: 9780470551387
Nuevos Tapa dura Cantidad: 1
Librería
Media Mall
(Fyshwick, ACT, Australia)
Valoración
[?]

Descripción Wiley-Blackwell, 2010. Hardcover. Estado de conservación: New. 16.7 x 24.5 cm. "The foundation of mathematics is not found in a single discipline since it is a general way of thinking in a very rigorous logical fashion. This book was written especially for readers who are about to make their first contact with this very way of thinking. Chapters 1-5 provide a rigorous, self contained construction of the familiar number systems (natural numbers, integers, real, and complex numbers) from the axioms of set theory. This construction trains readers in many of the proof techniques that are ultimately used almost subconsciously. In addition to important applications, the author discusses the scientific method in general (which is the reason why civilization has advanced to today's highly technological state), the fundamental building blocks of digital processors (which make computers work), and public key encryption (which makes internet commerce secure). The book also includes examples and exercises on the mathematics typically learned in elementary and high school. Aside from serving education majors, this further connection of abstract content to familiar ideas explains why these ideas work so well. Chapter 6 provides a condensed introduction to abstract algebra, and it fits very naturally with the idea that number systems wereexpanded over and over to allow for the solution of certain types of equations. Finally, Chapter 7 puts the finishing touches on the excursion into set theory. The axioms presented there do not directly impact the elementary construction of the number systems, but once they are needed in an advanced class, readers will certainly appreciate them. Chapter coverage includes: Logic; Set Theory; Number Systems I: Natural Numbers; Number Systems II: Integers; Number Systems III: Fields; Unsolvability ofthe Quintic by Radicals; and More Axioms"-- Our orders are sent from our warehouse locally or directly from our international distributors to allow us to offer you the best possible price and delivery time. Book. Nº de ref. de la librería MM-60128919

Más información sobre esta librería | Hacer una pregunta a la librería

Comprar nuevo
EUR 124,49
Convertir moneda

Añadir al carrito

Gastos de envío: EUR 10,97
De Australia a Estados Unidos de America
Destinos, gastos y plazos de envío