Elementary number theory is concerned with arithmetic properties of the ring of integers. Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting, for example, analogues of the theorems of Fermat and Euler, Wilson's theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlet's theorem on primes in an arithmetic progression.
Geometry Success in 20 Minutes a Day (Skill Builders)
A good knowledge of geometry is essential to success on many standardized tests and applicable to a wide range of careers. Geometry Success in 20 Minutes a Day provides a thorough course in geometry skills that can be fit into any busy schedule.
The Newnes Know It All Series takes the best of what our authors have written to create hard-working desk references that will be an engineer's first port of call for key information, design techniques and rules of thumb. Guaranteed not to gather dust on a shelf!
USA Mathematical Olympiads 1972-1986 Problems and Solutions
Volume 33 of the Anneli Lax New Mathematical Library People delight in working on problems "because they are there," for the sheer pleasure of meeting a challenge. This is a book full of such delights. In it, Murray S. Klamkin brings together 75 original USA Mathematical Olympiad (USAMO) problems for yearss 1972-1986, with many improvements, extensions, related exercises, open problems, referneces and solutions, often showing alternative approaches.
TrigonometryGain a solid understanding of the principles of trigonometry and how these concepts apply to real life with McKeague/Turner's TRIGONOMETRY, Sixth Edition. This book's proven approach presents contemporary concepts in brief, manageable sections using current, detailed examples and interesting applications.
