Leonardo Pisano (Fibonacci)

To the illustrious and powerful Lord, Master Michael Scot, I dedicate this work, which I have called 'Liber Quadratorum'.

I have shown how to find square numbers which, when increased or decreased by five, remain square numbers.

The science of numbers is the most excellent of all sciences, and it is the foundation of all knowledge.

Mathematics is the language in which God has written the universe.

I have striven to bring forth a work that is both useful and clear, so that those who read it may easily understand the principles of calculation.

The more one studies the properties of numbers, the more one is amazed by their beauty and their order.

I have learned much from the Arabs, and I have brought their knowledge to the Latin world.

This book is for those who wish to learn the art of calculation, not only for merchants, but also for scholars.

The Indian method of calculation is superior because it allows for the representation of any number with a small set of symbols.

I have traveled to Egypt, Syria, Greece, Sicily, and Provence, and in all these places I have studied the various methods of calculation.

The understanding of numbers is essential for all who engage in commerce and trade.

I have presented the rules of arithmetic in a clear and concise manner, so that they may be easily grasped by all.

Let no one be deterred by the initial difficulty, for the rewards of understanding are great.

The problems I have included are not merely for amusement, but for the exercise of the mind and the development of skill in calculation.

I have shown how to solve problems involving fractions, proportions, and roots, which are all necessary for practical applications.

The beauty of mathematics lies in its logical structure and its ability to describe the world around us.

I have sought to make this book a complete guide to arithmetic, covering all the necessary topics for practical use.

The zero, which the Arabs call zephirum, is a most ingenious invention, for it allows us to represent numbers of any magnitude.

I have dedicated this work to the Emperor Frederick II, a most learned and wise ruler.

The study of geometry is essential for understanding the dimensions and forms of the world.