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What Is Mathematics? An Elementary Approach…
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What Is Mathematics? An Elementary Approach to Ideas and Methods (udgave 1996)

af Richard Courant (Forfatter)

MedlemmerAnmeldelserPopularitetGennemsnitlig vurderingOmtaler
766821,514 (4.33)4
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.… (mere)
Medlem:DickinsonScience
Titel:What Is Mathematics? An Elementary Approach to Ideas and Methods
Forfattere:Richard Courant (Forfatter)
Info:Oxford University Press (1996), Edition: 2, 594 pages
Samlinger:Dit bibliotek
Vurdering:
Nøgleord:Math

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What Is Mathematics? An Elementary Approach to Ideas and Methods af Richard Courant

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Engelsk (5)  Italiensk (2)  Spansk (1)  Alle sprog (8)
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510 COU
  ScarpaOderzo | Apr 19, 2020 |
Libro de matemáticas cuyo objetivo principal es oponer esta obra a la percepción generalizada de que las matemáticas son una tarea exclusivamente teórica ( )
  hernanvillamil | Dec 29, 2019 |
Lessi per la prima volta questo libro da ragazzo, non capendoci probabilmente molto. Adesso ho ripreso l'edizione aggiornata da Ian Stewart e recentemente convertita in digitale (malamente: è vero che non è facile rendere i testi matematici in formato epub, ma secondo me si sarebbe potuto fare parecchio meglio. Certo, ci voleva più lavoro). Cosa può dire il lettore che in questi decenni è stato esposto a una grande quantità di matematica? Il giudizio è misto. Per esempio ho trovato il primo capitolo molto pesante; andando avanti ho però apprezzato il modo non standard della presentazione dei temi - per fare un esempio, la geometria vista attraverso il birapporto che porta naturalmente alla geometria proiettiva - e l'enfasi sulle dimostrazioni di alcuni teoremi che vengono presentati a lezione come dati per scontati. Da questo punto di vista il titolo del libro è particolarmente adatto, perché segnala come la matematica sia un corpus che cresce in modo organico e non una raccolta di risultati scorrelati. Le note finali di Ian Stewart forniscono qualche informazione su cosa è successo nei decenni successivi alla prima pubblicazione: ovviamente non per tutta la matematica ma su alcuni punti trattati nel testo. Sono un'utilissima aggiunta. Qualche dubbio invece sulla traduzione (immagino originale...) di Liliana Ragusa Gilli; non tanto sulla parte matematica, che comunque è stata rivista da Laura Servidei, ma proprio sulla forma dell'italiano. ( )
  .mau. | Oct 13, 2019 |
This is a very good text , but too much for me ( )
  Baku-X | Jan 10, 2017 |
This is a very good text , but too much for me ( )
  BakuDreamer | Sep 7, 2013 |
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Forfatter navnRolleHvilken slags forfatterVærk?Status
Richard Courantprimær forfatteralle udgaverberegnet
Robbins, HerbertForfatterhovedforfatteralle udgaverbekræftet
Stewart, IanForfattermedforfatternogle udgaverbekræftet

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In the summer of 1937, when I was a young college student, I was studying calculus by going through my father's book Differential and Integral Calculus with him.
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For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics?, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved. Formal mathematics is like spelling and grammar--a matter of the correct application of local rules. Meaningful mathematics is like journalism--it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature--it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature--it opens a window onto the world of mathematics for anyone interested to view.

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