Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you
had an idea but got stuck halfway through? This book guides you in developing your creativity
as it takes you on a voyage of discovery into mathematics. Readers will not only learn
strategies for solving problems and logical reasoning but they will also learn about the
importance of proofs and various proof techniques. Other topics covered include recursion
mathematical induction graphs counting elementary number theory and the pigeonhole
extremal and invariance principles. Designed to help students make the transition from
secondary school to university level this book provides readers with a refreshing look at
mathematics and deep insights into universal principles that are valuable far beyond the scope
of this book.Aimed especially at undergraduate and secondary school students as well as
teachers this book will appeal to anyone interested in mathematics. Only basic secondary
school mathematics is required including an understanding of numbers and elementary geometry
but no calculus. Including numerous exercises with hints provided this textbook is suitable
for self-study and use alongside lecture courses.
