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The Mathematical Trinity: Imagination, Inference and Insight
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ISBN10: 9819618053
ISBN13: 9789819618057
Publisher: Springer
Published: Aug 3 2026
Pages: 390
Weight: 1.23
Height: 0.84 Width: 6.20 Depth: 9.23
Language: English
ISBN13: 9789819618057
Publisher: Springer
Published: Aug 3 2026
Pages: 390
Weight: 1.23
Height: 0.84 Width: 6.20 Depth: 9.23
Language: English
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 reader's comprehension of this remarkable discipline.
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