Topics in the Theory on Numbers PDF

This rather unique book is a guided tour through number theory. While most introductions to number theory provide a systematic and exhaustive treatment of the subject, the authors have chosen instead to illustrate the many varied subjects by associating recent discoveries, interesting methods, and unsolved problems. In particular, we read about combinatorial problems in number theory, a branch of mathematics cofounded and popularised by Paul Erdos. Janos Suranyis vast teaching experience successfully complements Paul Erdoss ability to initiate new directions of research by suggesting new problems and approaches. This book will surely grouse the interest of the student and the teacher alike. Until his death in 1996, Professor Paul Erdas was one of the most prolific mathematicians ever, publishing close to 1,500 papers. While his papers contributed to almost every area of mathematics, his main research interest was in the area of combinatories, graph theory, and number theory. He is most famous for proposing problems to the mathematical community that were exquisitely simple to understand yet difficult ta solve. He was awarded numerous prestigious prizes including the Frank Nelson Cole Prize of the AMS.

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theorists study prime numbers as well as the properties of Topics in Number Theory, Algebra, and Geometry