Download PDF by Titu Andreescu,Dorin Andrica,Ion Cucurezeanu: An Introduction to Diophantine Equations

By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

ISBN-10: 0817645489

ISBN-13: 9780817645489

This problem-solving booklet is an advent to the learn of Diophantine equations, a category of equations within which basically integer recommendations are allowed. the fabric is equipped in components: half I introduces the reader to simple tools invaluable in fixing Diophantine equations, akin to the decomposition process, inequalities, the parametric strategy, modular mathematics, mathematical induction, Fermat's approach to countless descent, and the tactic of quadratic fields; half II comprises entire recommendations to all workouts partly I. The presentation good points a few classical Diophantine equations, together with linear, Pythagorean, and a few greater measure equations, in addition to exponential Diophantine equations. some of the chosen routines and difficulties are unique or are awarded with unique ideas. An creation to Diophantine Equations: A Problem-Based technique is meant for undergraduates, complicated highschool scholars and academics, mathematical contest contributors — together with Olympiad and Putnam rivals — in addition to readers attracted to crucial arithmetic. The paintings uniquely offers unconventional and non-routine examples, rules, and techniques.

Show description

Read Online or Download An Introduction to Diophantine Equations PDF

Similar number theory books

Download e-book for kindle: Hilbert Modular Forms and Iwasawa Theory (Oxford by Haruzo Hida

The 1995 paintings of Wiles and Taylor-Wiles spread out a complete new process in algebraic quantity idea and, a decade on, the waves because of this awfully very important paintings are nonetheless being felt. This ebook, authored by way of a number one researcher, describes the outstanding purposes which were discovered for this system.

Andrea Rothbart's The Theory of Remainders (Dover Books on Mathematics) PDF

An imaginitive creation to quantity concept, this special approach employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via a number of theories, and jointly, they placed the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic equipment to simplify difficulties in modular buildings, and constructing fascinating differences to the principles of chess.

The Legacy of Alladi Ramakrishnan in the Mathematical by Krishnaswami Alladi,John R. Klauder,Calyampudi R. Rao PDF

Within the spirit of Alladi Ramakrishnan’s profound curiosity and contributions to 3 fields of technology — arithmetic, records, and Physics — this quantity comprises invited surveys and learn articles from trendy individuals of those groups who additionally knew Ramakrishnan individually and drastically revered his impact in those parts of technology.

Read e-book online Hilbert Modular Forms with Coefficients in Intersection PDF

Within the Seventies Hirzebruch and Zagier produced elliptic modular types with coefficients within the homology of a Hilbert modular floor. They then computed the Fourier coefficients of those kinds when it comes to interval integrals and L-functions. during this ebook the authors take another method of those theorems and generalize them to the surroundings of Hilbert modular different types of arbitrary measurement.

Extra info for An Introduction to Diophantine Equations

Sample text

Download PDF sample

An Introduction to Diophantine Equations by Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

by Ronald

Rated 4.73 of 5 – based on 42 votes