What Is Mathematics
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What Is Mathematics
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Author : the late Richard Courant
language : en
Publisher: Oxford University Press
Release Date : 1996-07-18
What Is Mathematics written by the late Richard Courant and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-18 with Mathematics categories.
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.
What Is Mathematics School Guide To Conceptual Understanding Of Mathematics
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Author : Catalin Barboianu
language : en
Publisher: PhilScience Press
Release Date : 2021-01-18
What Is Mathematics School Guide To Conceptual Understanding Of Mathematics written by Catalin Barboianu and has been published by PhilScience Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-18 with Education categories.
This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school. The customary procedural-formal approach to teaching mathematics has resulted in students' distorted vision of mathematics as a merely formal, instrumental, and calculatory discipline. Without the conceptual base of mathematics, students develop over time a "mathematical anxiety" and abandon any effort to understand mathematics, which becomes their "traditional enemy" in school. This work materializes the results of the inter- and trans-disciplinary research aimed toward the understanding of mathematics, which concluded that the fields with the potential to contribute to mathematics education in this respect, by unifying the procedural and conceptual approaches, are epistemology and philosophy of mathematics and science, as well as fundamentals and history of mathematics. These results argue that students' fear of mathematics can be annulled through a conceptual approach, and a student with a good conceptual understanding will be a better problem solver. The author has identified those zones and concepts from the above disciplines that can be adapted and processed for familiarizing the student with this type of knowledge, which should accompany the traditional content of school mathematics. The work was organized so as to create for the reader a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. The author talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole. The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.
What Is Mathematics
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Author : Richard Courant
language : en
Publisher:
Release Date : 1941
What Is Mathematics written by Richard Courant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1941 with Mathematics categories.
What Is Mathematics An Elementary Approach To Ideas And Methods
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Author : Richard Courant
language : en
Publisher:
Release Date : 1941
What Is Mathematics An Elementary Approach To Ideas And Methods written by Richard Courant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1941 with Mathematics categories.
What Is Mathematics An Elementary Approach To Ideas And Methods
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Author :
language : en
Publisher:
Release Date : 1943
What Is Mathematics An Elementary Approach To Ideas And Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1943 with categories.
What Is Mathematics An Elementary Approach To Ideas And Methods
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Author : R. Courant
language : en
Publisher:
Release Date : 1941
What Is Mathematics An Elementary Approach To Ideas And Methods written by R. Courant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1941 with categories.
What Is Mathematics 2 Ed
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Author : Richard Courant; Herbert Robbins
language : en
Publisher:
Release Date : 2007-03-26
What Is Mathematics 2 Ed written by Richard Courant; Herbert Robbins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-26 with categories.
What Is Mathematics
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Author : Richard Courant
language : en
Publisher:
Release Date : 1953
What Is Mathematics written by Richard Courant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
What Is Mathematics An Elementary Approach To Ideas And Methods
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Author : Richard Courant
language : en
Publisher:
Release Date : 1956
What Is Mathematics An Elementary Approach To Ideas And Methods written by Richard Courant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.
What Is Mathematics
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Author : Vasant S. Huzurbazar
language : en
Publisher:
Release Date : 1967
What Is Mathematics written by Vasant S. Huzurbazar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.