Basic Concepts in Modern Mathematics (Dover Books on Mathematics)

📘 Book Details

• Publisher: Dover

• Author: John Hafstrom

• Language: English

• Edition: Reprint

• ISBN: 9780486497297

• Pages: 208

• Cover: Paperback

• Dimensions: 9.0 x 6.0 x 0.4 inches

📝 About The Book

Elements of Modern Mathematics by John Hafstrom offers a clear and concise introduction to the essential concepts of modern mathematics. Designed for undergraduate students from all academic backgrounds, this accessible volume lays a solid foundation in mathematical reasoning, logic, and structure, while presenting practical applications that support further study and interdisciplinary relevance.

The book opens with a discussion on the historical development of numbers, setting the stage for a structured and thoughtful exploration of core mathematical ideas. Chapters progress through topics such as natural numbers, sets and variables, statement forms, mappings and operations, groups, relations and partitions, and both integers and rational and real numbers. Each concept is introduced in a student-friendly manner, with enough depth to both challenge learners and enhance comprehension.

This reprint edition from Dover is ideal for students seeking an introduction to higher mathematics, whether they plan to major in math or simply want a solid grasp of mathematical thinking. With minimal prerequisites (only high school algebra and geometry), Elements of Modern Mathematics is also a valuable supplemental text for courses in logic, number theory, and foundations of mathematics.

A timeless guide to the logic and language of mathematics, this book empowers students to build the analytical skills necessary for advanced studies in math, science, engineering, and beyond.