Transition to Higher Mathematics: Structure and Proof (Second Edition)

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Názov: Transition to Higher Mathematics: Structure and Proof (Second Edition)
Autori: Dumas, Bob A, McCarthy, John E
Zdroj: Books and Monographs
Informácie o vydavateľovi: Washington University Open Scholarship
Rok vydania: 2015
Zbierka: Washington University St. Louis: Open Scholarship
Predmety: Proofs, Mathematical arguments, Rigorous mathematics, Transition to Higher Mathematics, Real numbers, Logic, Set theory, OER, open education resources, Logic and Foundations, Mathematics, Other Mathematics
Popis: This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers. ; https://openscholarship.wustl.edu/books/1010/thumbnail.jpg
Druh dokumentu: text
Popis súboru: application/pdf
Jazyk: unknown
Relation: https://openscholarship.wustl.edu/books/10; https://openscholarship.wustl.edu/context/books/article/1010/viewcontent/Transition_to_Higher_Math_final_2015_05_19.pdf
DOI: 10.7936/K7Z899HJ
Dostupnosť: https://openscholarship.wustl.edu/books/10
https://doi.org/10.7936/K7Z899HJ
https://openscholarship.wustl.edu/context/books/article/1010/viewcontent/Transition_to_Higher_Math_final_2015_05_19.pdf
Rights: http://creativecommons.org/licenses/by/4.0/
Prístupové číslo: edsbas.E7E53BF5
Databáza: BASE
Popis
Abstrakt:This book is written for students who have taken calculus and want to learn what “real mathematics" is. We hope you will find the material engaging and interesting, and that you will be encouraged to learn more advanced mathematics. This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about. It can be used as a textbook for an "Introduction to Proofs" course, or for self-study. Chapter 1: Preliminaries, Chapter 2: Relations, Chapter 3: Proofs, Chapter 4: Principles of Induction, Chapter 5: Limits, Chapter 6: Cardinality, Chapter 7: Divisibility, Chapter 8: The Real Numbers, Chapter 9: Complex Numbers. The last 4 chapters can also be used as independent introductions to four topics in mathematics: Cardinality; Divisibility; Real Numbers; Complex Numbers. ; https://openscholarship.wustl.edu/books/1010/thumbnail.jpg
DOI:10.7936/K7Z899HJ