Verfügbarkeit: Writing proofs in analysis

Writing proofs in analysis:

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Bibliographische Detailangaben
1. Verfasser:	Kane, Jonathan M. (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	[Cham] Springer [2016]
Schlagworte:	Mathematics Fourier analysis Functional analysis Mathematical logic Functional Analysis Fourier Analysis Mathematical Logic and Foundations Mathematik Beweis
Online-Zugang:	BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource (XX, 347 Seiten, 79 illus., 4 illus. in color)
ISBN:	9783319309675
DOI:	10.1007/978-3-319-30967-5

Internformat

MARC


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Datensatz im Suchindex

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adam_text	WRITING PROOFS IN ANALYSIS / KANE, JONATHAN M. : 2016 TABLE OF CONTENTS / INHALTSVERZEICHNIS WHAT ARE PROOFS, AND WHY DO WE WRITE THEM? THE BASICS OF PROOFS LIMITS CONTINUITY DERIVATIVES RIEMANN INTEGRALS INFINITE SERIES SEQUENCES OF FUNCTIONS TOPOLOGY OF THE REAL LINE METRIC SPACES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. WRITING PROOFS IN ANALYSIS / KANE, JONATHAN M. : 2016 ABSTRACT / INHALTSTEXT THIS IS A TEXTBOOK ON PROOF WRITING IN THE AREA OF ANALYSIS, BALANCING A SURVEY OF THE CORE CONCEPTS OF MATHEMATICAL PROOF WITH A TIGHT, RIGOROUS EXAMINATION OF THE SPECIFIC TOOLS NEEDED FOR AN UNDERSTANDING OF ANALYSIS. INSTEAD OF THE STANDARD TRANSITION APPROACH TO TEACHING PROOFS, WHEREIN STUDENTS ARE TAUGHT FUNDAMENTALS OF LOGIC, GIVEN SOME COMMON PROOF STRATEGIES SUCH AS MATHEMATICAL INDUCTION, AND PRESENTED WITH A SERIES OF WELL-WRITTEN PROOFS TO MIMIC, THIS TEXTBOOK TEACHES WHAT A STUDENT NEEDS TO BE THINKING ABOUT WHEN TRYING TO CONSTRUCT A PROOF. COVERING THE FUNDAMENTALS OF ANALYSIS SUFFICIENT FOR A TYPICAL BEGINNING REAL ANALYSIS COURSE, IT NEVER LOSES SIGHT OF THE FACT THAT ITS PRIMARY FOCUS IS ABOUT PROOF WRITING SKILLS. THIS BOOK AIMS TO GIVE THE STUDENT PRECISE TRAINING IN THE WRITING OF PROOFS BY EXPLAINING EXACTLY WHAT ELEMENTS MAKE UP A CORRECT PROOF, HOW ONE GOES ABOUT CONSTRUCTING AN ACCEPTABLE PROOF, AND, BY LEARNING TO RECOGNIZE A CORRECT PROOF, HOW TO AVOID WRITING INCORRECT PROOFS. TO THIS END, ALL PROOFS PRESENTED IN THIS TEXT ARE PRECEDED BY DETAILED EXPLANATIONS DESCRIBING THE THOUGHT PROCESS ONE GOES THROUGH WHEN CONSTRUCTING THE PROOF. OVER 150 EXAMPLE PROOFS, TEMPLATES, AND AXIOMS ARE PRESENTED ALONGSIDE FULL-COLOR DIAGRAMS TO ELUCIDATE THE TOPICS AT HAND DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Kane, Jonathan M. Verfasser (DE-588)1104860023 aut Writing proofs in analysis Jonathan M. Kane [Cham] Springer [2016] © 2016 1 Online-Ressource (XX, 347 Seiten, 79 illus., 4 illus. in color) txt rdacontent c rdamedia cr rdacarrier Mathematics Fourier analysis Functional analysis Mathematical logic Functional Analysis Fourier Analysis Mathematical Logic and Foundations Mathematik Mathematik (DE-588)4037944-9 gnd rswk-swf Beweis (DE-588)4132532-1 gnd rswk-swf Mathematik (DE-588)4037944-9 s Beweis (DE-588)4132532-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-30965-1 https://doi.org/10.1007/978-3-319-30967-5 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994413&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Kane, Jonathan M. Writing proofs in analysis Mathematics Fourier analysis Functional analysis Mathematical logic Functional Analysis Fourier Analysis Mathematical Logic and Foundations Mathematik Mathematik (DE-588)4037944-9 gnd Beweis (DE-588)4132532-1 gnd
subject_GND	(DE-588)4037944-9 (DE-588)4132532-1
title	Writing proofs in analysis
title_auth	Writing proofs in analysis
title_exact_search	Writing proofs in analysis
title_full	Writing proofs in analysis Jonathan M. Kane
title_fullStr	Writing proofs in analysis Jonathan M. Kane
title_full_unstemmed	Writing proofs in analysis Jonathan M. Kane
title_short	Writing proofs in analysis
title_sort	writing proofs in analysis
topic	Mathematics Fourier analysis Functional analysis Mathematical logic Functional Analysis Fourier Analysis Mathematical Logic and Foundations Mathematik Mathematik (DE-588)4037944-9 gnd Beweis (DE-588)4132532-1 gnd
topic_facet	Mathematics Fourier analysis Functional analysis Mathematical logic Functional Analysis Fourier Analysis Mathematical Logic and Foundations Mathematik Beweis
url	https://doi.org/10.1007/978-3-319-30967-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994413&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028994413&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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