Train Your Brain: Challenging Yet Elementary Mathematics

This book provides a comprehensive guide to advanced mathematics, featuring challenging problems and a step-by-step process. It is designed for self-study and can be used to bridge the gap between introductory and advanced courses. It helps readers develop a deeper understanding of mathematics and improve their ability to read, write, and think in a rigorous and mature fashion.

Format: Hardback
Length: 326 pages
Publication date: 31 December 2020
Publisher: Taylor & Francis Ltd

This comprehensive guide is designed to help readers grasp the intricate nuances of advanced mathematics, offering a clear and insightful perspective. Carefully curated, challenging problems are presented in a step-by-step format, making them accessible to individuals with no prior preparation or mathematical expertise. The authors aim to empower readers to develop a rigorous and analytical mindset, enabling them to extract facts, analyze problems, and identify key challenges. A solid foundation in a diverse range of topics is laid out, while also demonstrating how to draw appropriate and valid conclusions.

To enhance intuition and understanding, computer support is incorporated into the discussion. The book is meticulously crafted for self-study, serving as a valuable tool for bridging the gap between introductory calculus/linear algebra courses and more advanced university-level offerings. It not only enhances one's ability to read, write, and think in a rigorous and mature mathematical manner but also deepens comprehension, preparing readers for success in advanced course work.

Key Features:

Six-Step Process: The authors employ a systematic approach, breaking down complex problems into six distinct steps: SOURCE, PROBLEM, THEORY, SOLUTION, REMARK, and EXERCISES. This structured framework aids in comprehension and retention.

An Appendix: The book includes an Appendix that introduces programming in Julia, a powerful programming language widely used in scientific computing and data analysis. This addition provides readers with valuable skills and knowledge applicable to various fields.

Suitable for High School Students: This guide is not limited to college students or mathematicians. It is also an excellent resource for high school students who are interested in competing in math competitions or simply expanding their knowledge and challenging themselves with intriguing questions.

For individuals of all ages and backgrounds, this book offers a unique opportunity to delve into the world of advanced mathematics and unlock its vast potential. Whether you are a student, professional, or simply a curious mind, this guide will provide you with the tools and knowledge needed to excel in your mathematical endeavors.

Weight: 652g
Dimension: 162 x 241 x 27 (mm)
ISBN-13: 9780367679354