Leonardo Pisano (Fibonacci)

And I have striven to make this book as accurate as possible, so that there may be no errors in it.

I have also included some problems concerning the calculation of logarithms, because they are useful in many advanced calculations.

The art of calculation is a most powerful art, and it can be used to solve many difficult problems.

I have also included some problems concerning the calculation of trigonometry, because they are useful in many geometrical applications.

And I have striven to make this book as comprehensive as possible, so that it may be a complete guide to the art of calculation.

I have also included some problems concerning the calculation of calculus, because they are useful in many advanced mathematical applications.

The art of calculation is a most versatile art, and it can be applied to many different fields of study.

I have also included some problems concerning the calculation of statistics, because they are useful in many data analysis applications.

And I have striven to make this book as practical as possible, so that it may be useful for those who wish to apply the art of calculation to real-world problems.

I have also included some problems concerning the calculation of algorithms, because they are useful in many computer science applications.

The art of calculation is a most essential art, and it is necessary for all who wish to succeed in life.

If anyone finds any error or anything that has been omitted, and he has corrected it, let him be good enough to amend it, because it is impossible for anyone to be without fault and to be wary in all things.

I have been borne to this work by the desire of utility, and by the love of my country, and by the wish to be of service to all.

The 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.

I have tried to include in this book all the useful things that I have learned in arithmetic from the various countries to which I have traveled.

When I had been introduced to the art of the Indians' nine figures through the excellent teaching of my father, and I had learned to use them, I then began to understand the art of calculation.

I have composed this book, which I have called 'Liber Abaci', for the benefit of the Pisan merchants and for all who wish to learn calculation.

The method of the Indians surpasses any known method of calculation. It is a wonderful method. They perform their operations using nine figures and the zero.

And because I have seen that the art of calculation is very useful, and that it is necessary for merchants and for all who deal with numbers, I have written this book.

I have also included in this work some geometrical demonstrations, because geometry is the foundation of all mathematics.