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Book Report: The King of Infinite Space: Euclid and His Elements by David Berlinski

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The King of Infinite Space: Euclid and His Elements by David Berlinski is an excellent work which discusses Euclidian assumptions, proofs, and key theorems. In his time, Euclid formulated some 400 theorems in deploying elemental logic.

Fundamental definitions include the idea that a line has length but limited breadth. Another important property of a line is that the extremities of lines are points themselves. Finally, the extremity of a surface is a line.

Berlinski discusses unique geometric forms like the cardioid. A penciled cardioid appears to be an imperfect circle. Practical examples of the cardioid include the
cardioid microphone, caustic surfaces in jars bounded by liquid surfaces and loop antennas.

Scientists and experts in mathematics from Newton to Einstein have used Euclid’s axiomatic system and methods of proof to expand upon the existing body of human knowledge. In fact, many of the intricate geometric forms have been applied in modern engineering and geodome surfaces. For instance, the engineering designs of master practitioners like R. Buckminster Fuller incorporate many of the advanced Euclidian principles described by Berlinski.

The King of Infinite Space is an engaging read for people in formal academe, as well as the general public. A strength of the presentation is that the author has descriptive prose to satisfy the general readership and the formal mathematics to attract scientists and professional engineers. The presentation is easy to read and the exhibits have varying degrees of sophistication from the simple to highly complex and multi-dimensional.


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About Dr Joseph S Maresca

I've taught approx. 34 sections of collegiate courses including computer applications, college algebra, collegiate statistics, law, accounting, finance and economics. The experience includes service as a Board Director on the CPA Journal and Editor of the CPA Candidates Inc. Newsletter. In college, I worked as a statistics lab assistant. Manhattan College awarded a BS in an allied area of operations research. The program included courses in calculus, ordinary differential equations, probability, statistical inference, linear algebra , the more advanced operations research, price analysis and econometrics. Membership in the Delta Mu Delta National Honor Society was granted together with the degree. My experience includes both private account and industry. In addition, I've worked extensively in the Examinations Division of the AICPA from time to time. Recently, I passed the Engineering in Training Exam which consisted of 9 hours of examination in chemistry, physics, calculus, differential equations, linear algebra, probability/ statistics, fluids, electronics, materials science/structure of matter, mechanics, statics, thermodynamics, computer science, dynamics and a host of minor subject areas like engineering economics. A very small percentage of engineers actually take and pass the EIT exam. The number has hovered at circa 5%. Several decades ago, I passed the CPA examination and obtained another license in Computer Information Systems Auditing. A CISA must have knowledge in the areas of data center review, systems applications, the operating system of the computer, disaster recovery, contingency planning, developmental systems, the standards which govern facility reviews and a host of other areas. An MBA in Accounting with an Advanced Professional Certificate in Computer Applications/ Information Systems , an Advanced Professional Certificate in Finance and an Advanced Professional Certificate in Organizational Design were earned at New York University-Graduate School of Business (Stern ). In December of 2005, an earned PhD in Accounting was granted by the Ross College. The program entrance requires a previous Masters Degree for admittance together with a host of other criteria. The REGISTRAR of Ross College contact is: Tel . US 202-318-4454 FAX [records for Dr. Joseph S. Maresca Box 646 Bronxville NY 10708-3602] The clinical experience included the teaching of approximately 34 sections of college accounting, economics, statistics, college algebra, law, thesis project coursework and the professional grading of approx. 50,000 CPA examination essays with the American Institute of Certified Public Accountants. Additionally, membership is held in the Sigma Beta Delta International Honor Society chartered in 1994. Significant writings include over 10 copyrights in the name of the author (Joseph S. Maresca) and a patent in the earthquake sciences.