Galileo's Science

Galileo's Contributions

Galileo: His Science and His Significance for the Future 

What is the relevance of mathematics to everyday business problems? The exemplar of applied mathematical modeling was the Renaissance scientist Galileo, who had been a consultant to the Venetian arsenal on practical matters that required calculation, like the optimum positioning of oars in a naval galley. The application of mathematics to military operations during World War II, and then to business operations after that war, became known as operations research. In modern terms, Galileo had been an operations research consultant to the Venetian arsenal.

When embarking on a visit to places Galileo had lived and worked, ADASI’s chief consultant and founding partner, Albert DiCanzio, never had the intention nor even the idea, of writing what is now arguably the most complete and highly readable scientific biography of Galileo in the English language. DiCanzio was interested in learning more about Galileo’s pivotal creation of measurement science blended with mathematics in his revision of scientific method. He was aware that Galileo, mathematician, astronomer, and physicist – indeed, the first physicist – had carried measurement and mathematics into new domains, measuring Jupiter’s angular diameter, the distance that earthbound objects would fall in a given time, the sun’s rate of rotation, and even the sizes of compartments in Dante’s Inferno.

Galileo, he discovered, had proposed the principle of one-to-one correspondence between number-sets which became a starting principle of transfinite mathematics; had developed mathematical theories of continuity and infinitesimals, and had even developed a theory of proportions as a way to replace Euclid’s 5th definition of his Book Five by a theorem that Galileo could prove. After giving a presentation on his tour of Galileo-country, Albert much later transcribed his remarks, then developed the story of the creation of modern science by Galileo into this book, now acclaimed by experts in physics, applied mathematics, and the history of science. It has been widely used as classroom material by over a thousand faculty members in the USA and several other countries, and by many interested readers outside academia.

Published by ADASI, and available through and its marketplace, Albert DiCanzio's book on Galileo's science and future significance connects that creative mathematician's work to the earlier and later work of his major precursors and successors and to contemporary challenges facing humans on planet Earth.

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A Riveting Book on Galileo's Contributions

Galileo: His Science and His Significance for the Future of Man by Albert DiCanzio is 415 pages long, including illustrations, photographs, a bibliography, and extensive indices. Its ISBN is 0-9641295-6-6.

Telescope Galileo's brilliant intellectual revolution brought him into a tragic conflict with the Inquisition. Here the author, an independent observer who studied the science of Galileo at institutions run by Jesuits (the same religious order from whose ranks powerful clerics emerged to play key roles in the trial and condemnation of Galileo in 1633) lashes out at the academic establishment.

 He says that academic members have bungled the interpretation of that conflict and buried its significance for the future of man in petty criticism.

With unprecedented clarity, DiCanzio extracts the meaning of this crucial episode in the history of man, framing it in a fresh and crisp perspective. 


Within his vision of the future looms a newly productive focus on scientific reasoning (with indoctrination as its antithetical foe), on the relationship between science and theology and on prospects for post-Galilean industries.

Sharply distinct from past accounts of the massive collision between Galileo's philosophy and that of the philosophers and churchmen of his day, this work exposes a host of myths, such as the notion of modern anti-Copernican academics that relativity theory invalidates Galileo's astronomy. This book reveals little known original Galileo contributions to pure mathematics, computer science, physics, and astronomy (including Galileo's role in the discovery of the giant planets Uranus and Neptune and his widely misunderstood role in the invention of the telescope and of astrometrics).

Written from the perspective of one who studied the science of Galileo in Jesuit institutions, this work contains a full discussion of Galileo's interaction with the Roman Catholic Church from his 1633 trial up to and including the 1992 pronouncement of church leaders on the Galileo case. It also includes the first English translation of an essay by Antonio Favaro, editor of Galileo's complete works, as well as authorized excerpts previously unpublished in their native English from a manuscript of leading Galileo scholar Stillman Drake.

Except for certain passages that can be safely skipped by readers with a non-mathematical background, this book can be read by any curious, intelligent reader willing to exchange a bit of concentration for the opportunity to accompany the author on the trail of one of the grandest adventures that the history of science has to offer. Check out the other books available through ADASI Publishing.

Reviewed and Acclaimed by Experts

• "Fascinating reading. Meticulously researched. Brilliant, scholarly study and exposition of the contributions of Galileo to science and life, both ancient and right up to the present day, with implications for the future of humanity."
— Dr. Robert E. Houston., Jr., Emeritus Professor of Physics, University of New Hampshire

• "Well written and illustrated ... enthusiastic ... admirable balance between Galileo's physics and his astronomy, and a careful walk through his famous trial."
— Owen Gingerich, Harvard-Smithsonian Center for Astrophysics, Journal for the History of Astronomy, Nov 2000 Volume 31 Part 4, November 2000, No. 105

• "... provides science teachers at all levels with a deeper understanding of a truly brilliant man ..."
— Robert Gardner: The Physics Teacher, Vol. 36, April 1998

• "Excellent Resource for Calculus and Physics Students! Galileo: His Science and His Significance for the Future of Man by Albert G. DiCanzio should be required reading for each physics student starting at the high school, for some, or college freshman, for the rest, level. After reading several dozen books either translated from Galileo's work(s) or written about him, I find this book the best for the student of 2000. A better lesson for my engineering physics students to understand a sense of basic physics relative to that of the last twenty years does not exist."
— Professor William V. Thayer from St. Louis, MO at

"GREAT fun to read!"

Dr. Sallie Baliunas, Astronomer, former Deputy Director of Mount Wilson Institute and Director of the HK Project (which monitors stellar chromospheric activity, extending to other stars as well as Galileo's pioneering study of sunspots and solar rotation)