Standard-Slope Integration: A New Approach to Numerical Integration

The integral (or antiderivative) has long been the backbone of calculus, serving as a powerful means by which the area under a curve can be determined. Despite its great usefulness, however, finding anything other than the simplest antiderivatives can prove to be extremely challenging as well as difficult to evaluate, or they may not even exist. In such cases, it is often necessary to turn to other methods of numerical integration, which in themselves can be rather cumbersome to apply and may offer only a crude estimate of the actual area under the curve (AUC). Standard-slope integration (SSI) is a fast, easy, and (more) accurate method of numerical integration, the results of which are on par with those of classical integration methods.

The printed version of this book includes formal derivations, sample problems, and grayscale (color is not available at this time) tables and graphs. The e-book version, however, contains color tables and graphs as well as sample problems but no formal derivations.

Auteur

Peter James Italia, M.D. was born and raised in Florida and later received his Bachelor of Science from Emory University in Atlanta, Georgia, as well as earning degrees from Champlain College in Burlington, Vermont. He graduated from the Universidad Eugenio María de Hostos school of medicine in the Dominican Republic and later studied General Surgery in the United States. He has an extensive educational background that includes medicine, the natural sciences, computer science, business, and accounting.

He is the author of the book "Quantum Medicine: True Stories Involving the Use of Time Travel in the Treatment and Prevention of Death and Disease," in which Dr. Italia describes his use of time travel and other methods far beyond current medical knowledge and abilities in the diagnosis and treatment of seriously ill and dying patients at major medical centers. He is also the author of the calculus monograph titled "Standard-Slope Integration: A New Approach to Numerical Integration," in which he describes a new method of determining the area under a curve that is both simple and (more) accurate and easily rivals classical integration methods, and the writer/composer of the inspirational song "Fly High" as well as the author of a love poem.

On numerous occasions, he has also provided government, military and local authorities in the United States, as well as the news media and friends, with important information about "future" news and world events of major significance (only to be ignored and thus has given up), especially with regard to terrorism, crime, politics, war, and the weather, including the following: the 9/11 terrorist attacks, the anthrax letters, the shoe bomber, the Elizabeth Smart kidnapping, the D.C. snipers, the space shuttle "Columbia" disaster, the Madrid and London bombings, the small airplane crash in New York City involving Yankees pitcher Cory Lidle, the ambush and killing of U.S. troops in Iraq and Afghanistan, Hurricanes Katrina and Irene, the major earthquakes and tsunamis in Indonesia and Japan, the Secret Service scandal, and more.

Rejected and ignored, a virtual outcast, a pariah among society, he is currently living in the USA.