𝔖 Scriptorium
✦   LIBER   ✦
πŸ“

Numbers, Rings, and Fields: A Rigorous Introduction to Numbers and Algebraic Structures

✍ Scribed by Angel Oneto

Publisher
Independently published
Year
2018
Tongue
English
Leaves
175
Edition
1
Category
Library
⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis

Useful both for beginners and advanced students, this rigorous introduction to numbers and algebraic structures provides a solid foundation that’s essential for higher studies. The reader, after reviewing set theory and the axiomatic of real numbers (the very foundation of the mathematical language) will progress through residual arithmetic and other fundamental subjects, to arrive at the understanding of the ubiquity of the structures of rings and fieldsβ€”algebraic structures that provide unity and economy of thought. Equations, polynomials, quaternions, and octonions, complete the contents of this outstanding work, which combines rigor and clarity.

πŸ“œ SIMILAR VOLUMES

Introduction to Abstract Algebra: From R
πŸ“ Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory
✍ Benjamin Fine, Anthony M. Gaglione, Gerhard Rosenberger πŸ“‚ Library πŸ“… 2014 πŸ› Johns Hopkins University Press 🌐 English

<p><span>A new approach to abstract algebra that eases student anxieties by building on fundamentals.</span></p><p><span>Introduction to Abstract Algebra</span><span> presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard t

A computational introduction to number t
πŸ“ A computational introduction to number theory and algebra
✍ Victor Shoup πŸ“‚ Library πŸ“… 2009 πŸ› Cambridge University Press 🌐 English

This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes t

A computational introduction to number t
πŸ“ A computational introduction to number theory and algebra
✍ Victor Shoup πŸ“‚ Library πŸ“… 2009 πŸ› Cambridge University Press 🌐 English

This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes t

A Computational Introduction to Number T
πŸ“ A Computational Introduction to Number Theory and Algebra
✍ Victor Shoup πŸ“‚ Library πŸ“… 2005 🌐 English

Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasises algorithms and applications, such as cryptography and error