Fibonacci

I have also shown how to solve problems of the universe, and how to calculate the vastness of space.

I have also shown how to solve problems of God, and how to calculate the omnipotence of the Creator.

I have striven to set forth the entire science of arithmetic in this book, and to present it with complete proofs, so that anyone who studies it diligently can understand it.

If I have omitted anything, or if anything is erroneous, I beg forgiveness, since no one is without fault.

These nine Indian figures are: 9 8 7 6 5 4 3 2 1. With these nine figures, and with the sign 0 which the Arabs call zephirum, any number can be written.

Indeed, I have often been asked by many to write on the art of calculation, and I have done so, not for my own glory, but for the benefit of those who wish to learn.

I have learned much from my travels among the Arabs, and I have brought back much knowledge that was unknown in our Latin lands.

The method of the Indians surpasses any known method of calculation. It is a most elegant method, and easy to learn.

Let no one be deterred by the difficulty of the subject, for with diligence and perseverance, all things become clear.

My father, a public notary, often took me with him on his travels, and it was there that I first encountered the Indian numerals.

The rabbit problem, though seemingly simple, reveals a profound pattern in nature.

I have dedicated this work to the illustrious Emperor Frederick, in the hope that it may be of service to him and to his kingdom.

Mathematics is the gateway and key to all sciences.

The art of numbers is most useful for merchants, and for all who deal with weights and measures.

I have found great joy in the study of numbers, and I hope that others may find the same.

To understand the world, one must understand numbers.

The solution to this problem requires not only skill in calculation, but also a keen mind for observation.

I have endeavored to make this book clear and accessible to all, even those who are not learned in the Latin tongue.

The beauty of mathematics lies in its universality, its ability to describe the world around us.

Let us not fear the unknown, but embrace it, for in it lies the path to new discoveries.