By Andrea Rothbart
Appropriate for an individual acquainted with algebra on the high-school point, The thought of Remainders offers a charming advent to either quantity concept and summary algebra. either common and demanding, it presents a view of arithmetic as a conceptual web and illustrates the variations among conceptual and paraconceptual claims—an very good begin to increasing scholars' views on mathematics.
Exercises during the e-book shape an essential component of the textual content, extending scholars' adventure with the ideas less than dialogue and proposing possibilities to watch styles. as well as the workouts, a sequence of non-compulsory difficulties permits extra complex readers to additional strengthen the concepts.
Read or Download The Theory of Remainders (Dover Books on Mathematics) PDF
Best number theory books
Found on the flip of the twentieth century, p-adic numbers are usually utilized by mathematicians and physicists. this article is a self-contained presentation of easy p-adic research with a spotlight on analytic issues. It bargains many positive factors infrequently taken care of in introductory p-adic texts similar to topological versions of p-adic areas within Euclidian house, a unique case of Hazewinkel’s useful equation lemma, and a therapy of analytic components.
Elliptic stories describes the most recent advancements in quantity concept by means of probably the most fascinating unsolved difficulties in modern mathematics—the Birch and Swinnerton-Dyer Conjecture. during this e-book, Avner Ash and Robert Gross advisor readers in the course of the arithmetic they should comprehend this alluring challenge.
An resourceful creation to quantity thought, this special approach employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via a number of theories, and jointly, they positioned the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic gadget to simplify difficulties in modular buildings, and constructing fascinating alterations to the foundations of chess.
Il libro tratta di metodi di crittografia e sistemi, con particolare enfasi alla teoria dei numeri. Il libro è rivolto agli studenti universitari del nuovo ordinamento che debbano seguire un corso base di teoria dei numeri e crittografia. Il quantity è impostato in modo chiaro e sistematico, in modo da rendere facilmente accessibile los angeles materia agli studenti di matematica e informatica, fornendo peraltro parecchie descrizioni di applicazioni computazionali.
- Mathematical Conversations: Multicolor Problems, Problems in the Theory of Numbers, and Random Walks (Dover Books on Mathematics)
- Elementary Number Theory: Second Edition (Dover Books on Mathematics)
- Value Distribution in p-adic Analysis
- Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds (Lecture Notes in Mathematics)
- Pseudo-reductive Groups (New Mathematical Monographs)
Extra resources for The Theory of Remainders (Dover Books on Mathematics)