An Arithmetical Theory of Certain Numerical Functions (Classic Reprint) - Couverture souple

Alexander, Samuel Temple

 
9781440036729: An Arithmetical Theory of Certain Numerical Functions (Classic Reprint)

Synopsis

Dive into a bold take on arithmetic that treats numbers as flexible, interrelated ideas. This work explores how numerical functions can be understood through multiple, simple interpretations.

The book develops an abstract view of arithmetic that mirrors familiar number systems while proposing a broader framework. It emphasizes methods over brute calculation, showing how a wide class of numerical functions can be analyzed with elegant, diagrammatic ideas and minimal arithmetic. Readers will see how a self-contained arithmetical theory can host several valid perspectives on arithmetic, all grounded in precise definitions and theorems.




  • Conceptions of numbers as dynamic and static perspectives, with clear parallels to traditional arithmetic

  • Step-by-step definitions and theorems that build a coherent arithmetical framework

  • Illustrative ideas about factorization, ideal forms, and the relation between operations

  • Guidance on interpreting arithmetic in ways that extend beyond standard calculations



Ideal for readers who enjoy rigorous mathematical ideas presented with visual and conceptual clarity, without sacrificing accessibility.

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