Victor Bryant Knihy

Here is an introductory text on metric spaces that is the first to be written for students who are as interested in the applications as in the theory. Knowledge of metric spaces is fundamental to understanding numerical methods (for example for solving differential equations) as well as analysis, yet most books at this level emphasise just the abstraction and theory. Dr Bryant uses applications to provide motivation and to sustain the development and discusses numerical procedures where appropriate. The reader is expected to have had some exposure to elementary analysis, but the author provides examples throughout to refresh the student's memory and to test and extend understanding. In short, this is an introductory textbook that will appeal to students of mathematics and engineering and will give them the required background for more advanced courses in both analysis and numerical analysis.

Focusing on a revolutionary approach to mathematics education, this book guides readers through the core concepts of real analysis. By introducing each idea only after demonstrating its relevance and informal application, the author ensures a clear understanding of the material. This methodical progression enhances comprehension and engagement, making complex topics accessible to learners.

Combinatorics is a broad and important area of mathematics, and this textbook provides the beginner with the ideal introduction to many of the different aspects of the subject.

Exploring the metaphor of doors, this narrative delves into personal growth and self-discovery. The protagonist reflects on the choices and opportunities that shape their journey, symbolized by the doors they encounter. Each door represents a pivotal moment, leading to revelations about identity, relationships, and the passage of time. The story invites readers to contemplate their own paths and the significance of the decisions they make along the way.