Download Catalan's Conjecture (Universitext) by René Schoof PDF

By René Schoof

Eugène Charles Catalan made his well-known conjecture – that eight and nine are the single consecutive excellent powers of usual numbers – in 1844 in a letter to the editor of Crelle’s mathematical magazine. 100 and fifty-eight years later, Preda Mihailescu proved it.

Catalan’s Conjecture provides this mind-blowing bring about a fashion that's obtainable to the complex undergraduate. the writer dissects either Mihailescu’s facts and the sooner paintings it made use of, taking nice care to choose streamlined and obvious models of the arguments and to maintain the textual content self-contained. merely within the facts of Thaine’s theorem is a bit classification box thought used; it truly is was hoping that this program will inspire the reader to review the idea further.

Beautifully transparent and concise, this booklet will allure not just to experts in quantity idea yet to a person attracted to seeing the appliance of the tips of algebraic quantity thought to a recognized mathematical problem.

Show description

Read Online or Download Catalan's Conjecture (Universitext) PDF

Best number theory books

Problem-Solving and Selected Topics in Number Theory: In the Spirit of the Mathematical Olympiads

The publication offers a self-contained advent to classical Number thought. all of the proofs of the person theorems and the recommendations of the workouts are being provided step-by-step. a few ancient comments also are offered. The e-book could be directed to complex undergraduate, starting graduate scholars in addition to to scholars who organize for mathematical competitions (ex.

Elementary Dirichlet Series and Modular Forms (Springer Monographs in Mathematics)

A booklet on any mathematical topic past the textbook point is of little worth except it includes new rules and new views. It is helping to incorporate new effects, only if they provide the reader new insights and are awarded in addition to recognized previous leads to a transparent exposition. it's with this philosophy that the writer writes this quantity.

Zeta and eta functions: A new hypothesis

Euler-Riemann’s zeta and Dirichlet’s eta features are outlined for actual detrimental numbers as analytic continuation. within the current e-book the writer defines new sequence for zeta and eta services, for actual unfavourable and imaginary numbers with out analytic continuation. the recent zeta and eta services continue the nature of harmonic sequence and alternating harmonic sequence respectively for genuine detrimental numbers, as for genuine confident numbers.

Computation with Linear Algebraic Groups (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Designed as a self-contained account of a couple of key algorithmic difficulties and their options for linear algebraic teams, this publication combines in a single unmarried textual content either an creation to the fundamental thought of linear algebraic teams and a considerable selection of priceless algorithms. Computation with Linear Algebraic teams bargains a useful advisor to graduate scholars and researchers operating in algebraic teams, computational algebraic geometry, and computational team idea, in addition to these searching for a concise creation to the speculation of linear algebraic teams.

Additional info for Catalan's Conjecture (Universitext)

Sample text

Download PDF sample

Rated 4.71 of 5 – based on 9 votes