Proof patterns
This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. The patterns in proofs from diverse fields such as...
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2015
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oai:scholar.dlu.edu.vn:DLU123456789-581032023-11-11T06:00:01Z Proof patterns Mark Joshi Proof theory Number theory Mathematics This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. The patterns in proofs from diverse fields such as algebra, analysis, topology and number theory are explored. Specific topics examined include game theory, combinatorics, and Euclidean geometry, enabling a broad familiarity. The author, an experienced lecturer and researcher renowned for his innovative view and intuitive style, illuminates a wide range of techniques and examples from duplicating the cube to triangulating polygons to the infinitude of primes to the fundamental theorem of algebra. Intended as a companion for undergraduate students, this text is an essential addition to every aspiring mathematician?s toolkit. 2015-09-09T02:24:31Z 2015-09-09T02:24:31Z 2015 Book 978-3-319-16250-8 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58103 en application/pdf Springer |
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Thư viện Trường Đại học Đà Lạt |
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English |
| topic |
Proof theory Number theory Mathematics |
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Proof theory Number theory Mathematics Mark Joshi Proof patterns |
| description |
This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. The patterns in proofs from diverse fields such as algebra, analysis, topology and number theory are explored. Specific topics examined include game theory, combinatorics, and Euclidean geometry, enabling a broad familiarity. The author, an experienced lecturer and researcher renowned for his innovative view and intuitive style, illuminates a wide range of techniques and examples from duplicating the cube to triangulating polygons to the infinitude of primes to the fundamental theorem of algebra. Intended as a companion for undergraduate students, this text is an essential addition to every aspiring mathematician?s toolkit. |
| format |
Book |
| author |
Mark Joshi |
| author_facet |
Mark Joshi |
| author_sort |
Mark Joshi |
| title |
Proof patterns |
| title_short |
Proof patterns |
| title_full |
Proof patterns |
| title_fullStr |
Proof patterns |
| title_full_unstemmed |
Proof patterns |
| title_sort |
proof patterns |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58103 |
| _version_ |
1819795128371380224 |