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The Mathematical Trinity - ENG

Imagination, Inference And Insight
$1,200.00
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ISBN: 9789819618033
Formato: ePub
Idioma: Inglés
Editorial: Springer Nature
Tema: Matemáticas
Subtema: Matemáticas
Año de publicación: 2026-07-08

The book discusses nine popular propositions in Mathematics: ?The Consistency Theorem? from Logic; ?Isosceles Triangle Theorem? and ?Pythagorean Theorem? from Geometry; ?Ordered Pair Proposition? and ?Mathematical Induction Principle? from Zermelo?Fraenkel set theory; ?Remainder Theorem? from Number theory; ?The Quad­ratic Equation Proposition? and ?The Subgroup Theorem? from Algebra; and ?Dedekind Continuum Theorem? from Analysis, and thereby covers a sufficiently wide cross-section of modern mathematical sub-domains. Using these propositions, the book primarily has three objectives: to offer a deeper appreciation of these propositions and related concepts; to provide a better understanding of their relationship with other topics of Mathematics; and, above all, to throw light on the profound nature of the discipline that has developed and advanced over the millennia through a synergistic combination of imagination, inference, and insight. The book meticulously dissects each of these chosen propositions in separate chapters while simultaneously probing their intricate interrelationships. This approach yields a heightened appreciation of their mathematical significance, bridging the divide be­tween educational levels. These propositions often appear poised between school-level mathematics and university-level rigour, and the book adeptly navigates this middle ground. Furthermore, it goes beyond mere logical inference, embracing the realms of imagination and insight. It offers a holistic, historical, and intellectual perspective, unravelling not just the necessity of each proposition but also its unique contributions to the fabric and evolution of Mathematics. In doing so, it sheds light on a constella­tion of interconnected mathematical concepts, enriching the readers comprehension of this remarkable discipline.

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