This book contains a section dedicated to the four millennia of history of the Monnerat family and another dedicated to genealogy, treated as a science, as befits those whose human behavior should be handed over for study, in harmony with the thesis we defend. Attached is the genealogy of the Brazilian Koller Monnerat family, preceded by an index containing 8387 family members and spouses registered in the Monnerat Family Association archive up to December 2017. This index-genealogy companion book can be sold separately. Each family member is a protagonist in this Brazilian story, which became universal with the New World Book of Monnerat's, published in the USA and in dozens of countries around the world where families of the Monnerat genealogy live. The 1999 edition of the book lists the addresses of numerous families living in Switzerland, Italy, the USA and France, as well as more than 20 countries where families of this genealogy live, even if they don't have a Monnerat surname.