You might also like

More about Algebra and Number Theory

• Book details
• Synopsis
• Trending among others

You get 148 loyalty points

Book synopsis

This second edition gives a thorough introduction to the vast field of Abstract Algebra with a focus on its rich applications. It is among the pioneers of a new approach to conveying abstract algebra starting with rings and fields, rather than with groups. Our teaching experience shows that examples of groups seem rather abstract and require a certain formal framework and mathematical maturity that would distract a course from its main objectives. Our philosophy is that the integers provide the most natural example of an algebraic structure that students know from school. A student who goes through ring theory first, will attain a solid background in Abstract Algebra and be able to move on to more advanced topics. The centerpiece of our book is the development of Galois Theory and its important applications, such as the solvability by radicals and the insolvability of the quintic, the fundamental theorem of algebra, the construction of regular n-gons and the famous impossibilities: squaring the circling, doubling the cube and trisecting an angle. However, our book is not limited to the foundations of abstract algebra but concludes with chapters on applications in Algebraic Geometry and Algebraic Cryptography.

Book details

Book category Books in English Mathematics & science Mathematics Algebra

• Full title: Algebra and Number Theory
• Subtitle: A Selection of Highlights
• Author: Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke
• Language: English
• Binding: Paperback
• Number of pages: 380
• EAN: 9783110789980
• ID: 43222010
• Publisher: De Gruyter
• Dimensions: 240 × 170 mm
• Date of publishing: 20. September 2023

---

---

---