Clement Falbo

MATHEMATICAL MILESTONES (eBook, ePUB)

Nature, Science, Business, Computers and Artificial Intelligence

• Format: ePub

Produktbeschreibung

In his book, Mathematical Milestones, Professor Clement Falbo, PhD, shares many of the interesting historical anecdotes about mathematics. When Archimedes invented calculus in 250 BCE, like the first snows of winter, it didn't stick, when it was reinvented in the 17th century, it did stick because of its necessity in burgeoning world-wide industrial activity. This time, Rene Descartes (1630), Pierre De Fermat (1635), Bonaventura Cavalieri (1635), Isaac Newton, and Gottfried Leibnitz (1660) and (1670) were given credit. In Falbo's book we see how new inventions, discoveries and applications in science, engineering, and economics contributed to and benefited from mathematical growth. This book allows the reader to engage in the exciting axiom-and-theorem narrative that develops complex numbers, matrices, vectors, and quaternions, all in historical contexts. Professor Falbo provides us with food for thought by hypothesizing that modern mathematics was born when Abstract Algebra was invented, and Non-Euclidean Geometry was discovered in the 1800's.

-Professor Jean Chan, Mathematics Department, Sonoma State University

Anyone who reads this book will discover interesting new information and fresh perspectives on well- known ideas. The brief calculus chapter by Professor Falbo is exciting and vibrant and even has a proof of the fundamental theorem. A unique feature of this book is the way Clem traces the history of Game Theory and Operations Research from Jiuzhan Suanshu (300 BCE) in China to Seki Kawa (1683 CE) in Japan to Gauss and Jordan in Germany in the 19th Century all the way to Von Neumann, Morgenstern, and Dantzig in the 20th Century. His Chapters on matrix applications and operations research provide a readily accessible introduction to the powerful Simplex Algorithm. We can see where artificial intelligence originated from the sections of the book that explore logic and game theory. The chapter "A Crisis in Mathematics" in the books last section, describes how Kurt Godel, in 1931 destroyed mathematicians' dreams of having a discipline that was both comprehensive and consistent.

-Professor Ken Ross, Mathematics Department, The University of Oregon

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Produktdetails

• Verlag: The Reading Glass Books
• Seitenzahl: 310
• Erscheinungstermin: 22. Dezember 2022
• Englisch
• ISBN-13: 9781959151111
• Artikelnr.: 68415165

Autorenporträt

Author Information: My name is Clement E. Falbo and I am a mathematics professor emeritus at Sonoma State University (SSU). I started teaching mathematics in 1958 and received my PhD in 1963 under the supervision of H. J. Ettlinger from the University of Texas at Austin. I taught mathematics in the California State University System from 1963 to 1999, mostly at Sonoma State University. I regularly taught courses in my field of study, differential equations, analysis and mathematical modeling. My general education courses and business and economics courses, using my own textbooks, were successful and popular. Over the years, I have won awards for my teaching. After retiring in 1999, my wife, Jean, and I served in the Peace Corps, where I taught high school mathematics in Zimbabwe. Publications: Papers: I have had several articles published in mathematical journals and I presented numerous papers to professional societies between 1962 and 2012. I will be happy to provide a list of these at your request. Books: I have previously published three mathematical textbooks: Finite Mathematics Applied, 1977 Wadsworth Publishing. Math Odyssey 2000, 1994 Stipes Publishing. First Year Calculus, An Inquiry Based Learning Approach, 2019 Folio Avenue Publishing. Major Paper I have acquired a little bit of fame in mathematics, especially on the internet, for my paper, The Golden Ratio-A contrary viewpoint, published in the College Mathematics Journal March 2005. It challenged a widely-held misconception about a number called the "golden ratio." This paper rectified a mathematical anomaly that had caused this topic to evolve it into a popular mythology, most notably in describing the shape of sea shells. Curriculum Vitae: Clement Earl Falbo P. O. Box 606 Joseph, OR 97846 E-mail: [e-mail] Phone [phone] or 541 263 1415 Educational Background: BA in Mathematics, 1956, University of Texas, Austin MA in Mathematics, 1958, University of Texas, Austin PhD in Mathematics 1963, University of Texas, Austin Employment: 1951-54, U. S. Navy 1958-60, San Antonio Junior College, instructor in mathematics 1960-63, University of Texas, instructor in mathematics 1963-64, Fresno State University, Assistant Professor of mathematics 1964-99, Sonoma State university, Professor of mathematics I taught all undergraduate mathematics, probability and statistic courses as well as computer language courses. I served on and chaired multiple academic faculty committees and administrative positions during my 35 years a Sonoma State University. Teaching Awards: 1990 Meritorious Performance and Professional Promise award 1994 Santa Rosa Chamber of Commerce "Excellence in Education Award" Certificate of congressional Recognition U. S. Congress and California State Senate 1994 Nominated by Sonoma State University for the Carnegie Foundation's U. S. Professor of the year 2005 Recognition for volunteer Service Santa Rosa Recreation and Parks. Volunteer service: 1999-2001, served together with my wife Jean in the U. S. Peace Corps in Zimbabwe-she taught science and I taught mathematics in high school.