Elements of mathematical and logical reasoning. An introduction

The book draws together, in the simplest and deftest way possible, the mathematical methods necessary for a first encounter with university-level science. It is conceived of as an introduction to mathematics and logic for undergraduate students. It does not presuppose prior knowledge of mathematics or logic. Rather, it is geared towards introducing beginner-level students to algebra, geometry, three-dimensional coordinate systems, pre-calculus, and propositional and predicate logic, among other topics; developing their capacities for analytical thought and independent learning; and preparing them to confront the complexities of scientific knowledge.