The nuts and bolts of proofs:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier Academic Press
c2005
|
| Ausgabe: | 3rd ed |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 173-176) and index Introduction and Basic Terminology -- General Suggestions -- Some basic Techniques Used in Proving a Theorem of the Form :If A then B -- Direct Proof -- Related Statements -- Proof by Contra positive -- How to Construct the Negation of a Statement -- Special Kinds of Theorems -- If and only if or Equivalence Theorems -- Use of Counterexamples -- Mathematical Induction -- Existence Theorems -- Uniqueness Theorems -- Equality of Sets -- Equality of Numbers -- Composite Statements -- Limits -- Review Exercises -- Exercises without Soultions -- Collection of Proofs -- Solutions of the Exercises at the End of the Sections and the Review Exercises -- Other Books on the Subject of Proofs and Mathematical Writing The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten. A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. * The "List of Symbols" has been extended. * Set Theory section has been strengthened with more examples and exercises. * Addition of "A Collection of Proofs." |
| Beschreibung: | 1 Online-Ressource (xii, 179 p.) |
| ISBN: | 0080537901 0120885093 9780080537900 9780120885091 |
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Datensatz im Suchindex
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| author | Cupillari, Antonella |
| author_facet | Cupillari, Antonella |
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| author_sort | Cupillari, Antonella |
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| bvnumber | BV043043845 |
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| dewey-full | 511.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/6 |
| dewey-search | 511.3/6 |
| dewey-sort | 3511.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 3rd ed |
| format | Electronic eBook |
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| spelling | Cupillari, Antonella Verfasser aut The nuts and bolts of proofs Antonella Cupillari 3rd ed Amsterdam Elsevier Academic Press c2005 1 Online-Ressource (xii, 179 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 173-176) and index Introduction and Basic Terminology -- General Suggestions -- Some basic Techniques Used in Proving a Theorem of the Form :If A then B -- Direct Proof -- Related Statements -- Proof by Contra positive -- How to Construct the Negation of a Statement -- Special Kinds of Theorems -- If and only if or Equivalence Theorems -- Use of Counterexamples -- Mathematical Induction -- Existence Theorems -- Uniqueness Theorems -- Equality of Sets -- Equality of Numbers -- Composite Statements -- Limits -- Review Exercises -- Exercises without Soultions -- Collection of Proofs -- Solutions of the Exercises at the End of the Sections and the Review Exercises -- Other Books on the Subject of Proofs and Mathematical Writing The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten. A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. * The "List of Symbols" has been extended. * Set Theory section has been strengthened with more examples and exercises. * Addition of "A Collection of Proofs." MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Proof theory fast Proof theory Beweistheorie (DE-588)4145177-6 gnd rswk-swf Beweistheorie (DE-588)4145177-6 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=205386 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cupillari, Antonella The nuts and bolts of proofs MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Proof theory fast Proof theory Beweistheorie (DE-588)4145177-6 gnd |
| subject_GND | (DE-588)4145177-6 |
| title | The nuts and bolts of proofs |
| title_auth | The nuts and bolts of proofs |
| title_exact_search | The nuts and bolts of proofs |
| title_full | The nuts and bolts of proofs Antonella Cupillari |
| title_fullStr | The nuts and bolts of proofs Antonella Cupillari |
| title_full_unstemmed | The nuts and bolts of proofs Antonella Cupillari |
| title_short | The nuts and bolts of proofs |
| title_sort | the nuts and bolts of proofs |
| topic | MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Proof theory fast Proof theory Beweistheorie (DE-588)4145177-6 gnd |
| topic_facet | MATHEMATICS / Infinity MATHEMATICS / Logic Proof theory Beweistheorie |
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