Foundations of Abstract Thought

In this groundbreaking approach to mathematical education, readers are invited on an intellectual journey that transcends traditional computational learning. This book challenges the conventional methods of mathematical instruction by emphasizing creative thought and formalization skills over mechanical problem-solving. Designed for advanced students and young adults with strong imaginative capabilities, it presents mathematics as a precise language of truth, guiding learners through increasingly sophisticated levels of abstraction while preserving their natural creativity. Each chapter builds from intuitive understanding to formal mathematical concepts, incorporating both theoretical foundations and practical applications. The text particularly excels in developing students' abstract thinking capabilities, making it an ideal companion for university-level bachelor education.

Autorentext

Dr. Johan Noldus completed a Master and Bachelor in Physics and Mathematics respectively at Leuven University. Later on, he obtained his PhD in theoretical physics at Gent University followed by a post doctoral fellowship in Utrecht, the Netherlands.

Klappentext

This book introduces the reader into this fascinating language top down. Starting from the highest degree of abstraction we plunge ourselves into a rich world in which computations become possible. The entire book is filled with challenging exercises broadening one's mind and skills. The book lives up to its promise in the sense that virtually any topic a master student has to absorb is treated into the most succinct and logical way imaginary.