Inequalities, Exponents and Absolute Value (Proofs in Number Theory)

Learn the algebra necessary for number theory. The approach to teaching is proof-based. Each concept is introduced with precision, definition, notation, and illustrative examples. Starting from axioms, we ascend to uncover fascinating algebraic properties. Abundant practice exercises in each chapter will hone your skills. Witness the power of the Bernoulli Inequality and the Triangle Inequality through crystal-clear proofs. Ideal for self-learners and students seeking mathematical excellence. Embark on an enthralling journey into the heart of algebra, the foundation of number theory. Solve complex problems, develop analytical prowess, and experience the beauty of mathematical proofs. The topics treated include the following: Inequalities Chained inequalities Absolute value Max and min operations Floor and ceiling Roots Rational exponents Logarithms By mastering these essential concepts the reader can understand theorems and proofs in number theory.