[Bernd S. W. Schröder] ✓ Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers [Fundamentals Book] PDF ↠ Read Online eBook or Kindle ePUB

And it is a beautiful book: illustrations and photographs decorate almost every page.The book begins with what people can see in the sky unaided by telescopes. Indeed, it contains passages of real poetry.Entanglement is an approach to the ways humans and things are connected with and depend upon each other. As the title

• Title : Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers
• Author : Bernd S. W. Schröder
• Rating : 4.69 (796 Vote)
• Publish : 2014-10-1
• Format : Hardcover
• Pages : 348 Pages
• Asin : 0470551380
• Language : English

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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 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.. 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. 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

"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)

SCHRÖDER, PhD, is Edmundson/Crump Professor, Academic Director, and Program Chair of the Program of Mathematics and Statistics at Louisiana Tech University. Schröder is the author of Mathematical Analysis: A Concise Introduction and A Workbook for Differential Equations, both published by Wiley. BERND S.W. He has authored more than thirty journal articles in his areas of research interest, which include ordered sets, probability theory, graph theory, harmonic analysis, computer science, and education. Dr.