An Introduction to the Theory of Numbers 6th Edition(English, Paperback, Hardy G. H.)
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Introduction to the theory of numbers by G.H. Hardy and E.M. Wright is number theory’s most prominent and most referred-to text. The sixth edition supervised by Roger Heath-Brown is tuned to suit the needs of modern-day mathematicians and students. Summary Of The Book Introduction To The Theory Of Numbers adds the much needed updates on new number theories such as Fermat’s last theorem to the original text written by G.H. Hardy and E.M. Wright. The updates as compared to the previous editions also include notes on important achievements in the field of number theory. The book starts with chapters on the series of primes which then segue into Farey series and the theorem of Minkowski. This is followed by chapters on Irrational numbers, congruences and residues. The discussion moves to decimals, fractions and approximation of irrational numbers. In the next section, the fundamental theorem of arithmetic, Diophantine equations and quadratic fields are covered. The section also deals with arithmetic functions and partitions. Then the representation of a number two or four squares, cubes and higher powers are explained in detail with examples. The sixth edition ends with geometry of numbers and a chapter on elliptic curves by Joseph H Silverman The book is considered to be a fundamental study material in elementary number theory and covers at large all the topics that fall under the purview of number theory. The book has a large readership base. About The Authors G.H. Hardy, born in 1877 was a mathematician from England, famous for his many contributions to the theory of numbers. Having graduated from the University of Cambridge, Hardy taught at the Trinity College in Cambridge. He is known in mathematics for the Hardy-Weinberg principle and the Hardy-Ramanujan asymptotic formula, the later focussing on integer partitions. He is popular for his collaboration with the Indian Mathematician Srinivasa Ramanujan and his essay ‘A Mathematician’s Apology’ on the philosophical face of mathematics. He died in December, 1947. E.M. Wright, born in Farnley, England in 1906, was a researcher who contributed immensely to the field of mathematics in the years 1930 to 1980. His major areas of interest were number theory and graph theory. The Fox-Wright function is named after him based on an idea generated by his research. He died in February 2005. Roger Heath-Brown who has supervised the 6th edition of this book is a British mathematician famous for his work in number theory.