An Elementary Transition to Abstract Mathematics

von Gove Effinger, Gary L Mullen

292 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials.Features: - The material is presented in many short chapters, so that one concept at a time can be absorbed by the student. - Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student's transition by working with familiar concepts. - Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns. - A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student.

• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Grundlagen
• ISBN: 9781032475172
• Sprache: Englisch
• Erscheinungsdatum: 21.01.2023
• Größe: 234 x 156 mm
• Verlag: CRC Press