Proof patterns

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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Tác giả chính: Mark Joshi
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
Những chủ đề:
Proof theory
Number theory
Mathematics
Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58103
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spelling 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
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Proof theory
Number theory
Mathematics
spellingShingle 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_ 1782540638156226560

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