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The Number Systems Foundations Of Algebra And Analysis
Solomon Feferman’s "The Number Systems: Foundations of Algebra and Analysis" provides a detailed exploration of the foundational elements that support algebra and analysis, focusing on the logical and structural development of number systems. The book carefully constructs and examines the properties of natural numbers, integers, rational numbers, real numbers, and complex numbers, emphasizing their connections and roles within the broader context of mathematics.
Feferman investigates the logical and set-theoretical bases of these systems, integrating classical methodologies with contemporary viewpoints. The text thoroughly explores algebraic and analytic characteristics of number systems, addressing topics such as completeness, order properties, and the intersection of algebraic and topological ideas. This rigorous approach highlights the importance of number systems in mathematical reasoning and proof development.
Designed for students, scholars, and researchers, this book offers an insightful and comprehensive guide to the core structures of modern mathematics, providing a strong foundation for further study in mathematics, logic, and philosophy.
B004000.1 | 512.8101 FEF t | My Library (Rak Matematika) | Tersedia |
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