Can I read Excursions in Number Theory, Algebra, and Analysis on EtoBox?

Excursions in Number Theory, Algebra, and Analysis by Kenneth Ireland; Al Cuoco is a nonfiction available to read on EtoBox.

What is Excursions in Number Theory, Algebra, and Analysis about?

This textbook originates from a course taught by the late Ken Ireland in 1972. Designed to explore the theoretical underpinnings of undergraduate mathematics, the course focused on interrelationships and hands-on experience. Readers of this textbook will be taken on a modern rendering of Ireland’s path of discovery, consisting of excursions into number theory, algebra, and analysis. Replete with surprising connections, deep insights, and brilliantly curated invitations to try problems at just the right moment, this journey weaves a rich body of knowledge that is ideal for those going on to study or teach mathematics. A pool of 200 ‘Dialing In’ problems opens the book, providing fuel for active enquiry throughout a course. The following chapters develop theory to illuminate the observations and roadblocks encountered in the problems, situating them in the broader mathematical landscape. Topics cover polygons and modular arithmetic; the fundamental theorems of arithmetic and algebra; irrational, algebraic and transcendental numbers; and Fourier series and Gauss sums. A lively accompaniment of examples, exercises, historical anecdotes, and asides adds motivation and context to the the

Who reads Excursions in Number Theory, Algebra, and Analysis?

Author

Kenneth Ireland; Al Cuoco

Publisher

Springer Nature Switzerland AG

Published

2023

Language

EN

ISBN

9783031130175

Category

nonfiction

Subjects

Mathematics, Stem