POLARIZED NUMBER SYSTEM: Breaking the Mathematics Status Quo

This first book of the series on the polarized number system claims that the basics of mathematics we have been taught for centuries are flawed because mathematicians got it all wrong regarding understanding positive, negative, and absolute-value numbers. Even some of the most elementary mathematical operations in the real number system cannot be solved using the currently accepted rules of mathematics. Therefore, we must resort to clever excuses in the form of exceptions to the rules whenever the rules do not make sense.If you consider such an assessment laughable, absurd, or flatly insulting, please try to divide by zero or find the real square roots of the negative numbers. If you fail, it is not because the solutions are not defined or they do not exist, but instead because the real number system is obsolete. It does not have the proper tools to handle such elementary operations properly.It is a monumental task to convince the mathematical community that “we got it all wrong” regarding the basics of mathematics. Therefore, the book contains numerous examples of elementary operations supported by logical reasoning. It is written as step-by-step instructions, a reference manual, or a textbook with exercises, and thus may be overly detailed, repetitious, tedious, or exhausting for many.Suppose you want to read a clear, concise, and complete reprint of popular mathematical concepts in one sitting. Perhaps the book’s subject may not suit you in such a case because it introduces original number systems and mathematical concepts that go against well-established traditional mathematical principles. Instead, the book is for those willing to read some passages several times to gain an understanding. It is for those who are not afraid to reconsider their mathematical knowledge.As introduced in the book, contrary to the traditional understanding, all numbers, including zero, can be positive or negative in the polarized number system; however, absolute value numbers are not positive. Positive and negative numbers in the polarized number system fundamentally differ from positive and negative numbers in the real number system. Therefore, mathematical operations in both number systems lead to conflicting results. Read more