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Essays in Constructive Mathematics

Essays in Constructive Mathematics

Harold M. Edwards

171,08 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2014
Materia
Matemáticas
ISBN:
9781489990181
171,08 €
IVA incluido
Disponible

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Sobre IBD

Contents and treatment are fresh and very different from the standard treatmentsPresents a fully constructive version of what it means to do algebraThe exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader

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    Harold M. Edwards
    This collection of essays aims to promote constructive mathematics, not by defining it or formalizing it, but by practicing it. All definitions and proofs are based on finite algorithms, which pave illuminating paths to nontrivial results, primarily in algebra, number theory, and the theory of algebraic curves. The second edition adds a new set of essays that reflect and expand...
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  • Essays in Constructive Mathematics
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    In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes’ theorem. The result is genuine mathematics, both in spirit and co...
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    In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion of differential forms and quickly moves to the fundamental theorems of calculus and Stokes’ theorem. The result is genuine mathematics, both in spirit and co...
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    0. A Theorem of Polynomial Algebra.- 1. The General Theory.- 2. Applications to Algebraic Number Theory.- 3. Applications to the Theory of Algebraic Curves.- References. ...
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  • Linear Algebra
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    * Proposes a radically new and thoroughly algorithmic approach to linear algebra * Each proof is an algorithm described in English that can be translated into the computer language the class is using and put to work solving problems and generating new examples* Designed for a one-semester course, this text gives the student many examples to work throu...
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