Introduction -- Mathematical Reasoning -- Reasoning with Predicate Logic Reasoning -- Ordinary Matrix Product -- Mathematical Formulation of Transportation Problem -- Theorems of Integral Calculus -- Matrix Transformations -- Partial Differential Equations -- Algebraic Properties of Matrix Operations -- Game Theory -- Elements of Propositional Logic -- Elementary Operations for Matrices -- Subroutine of Linear Algebra -- Logical Boolean Algebra.

Mathematical reasoning or the principle of mathematical reasoning is a part of mathematics where we determine the truth values of the given statements. Mathematical reasoning is a part of Mathematics where we determine the truth values of the given statements. Logical reasoning has a major role to play in our daily lives. Mathematical reasoning is a critical skill that enables students to analyze a given hypothesis without any reference to a particular context or meaning. In layman's words, when a scientific Inquiry or statement is examined, the reasoning is not based on an individual's opinion. Derivations and proofs require a factual and scientific basis. In mathematics, a matrix (plural matrices) is a rectangular table of elements (or entries), which may be numbers or, more generally, any abstract quantities that can be added and multiplied. Matrices are used to describe linear equations, keep track of the coefficients of linear transformations and to record data that depend on multiple parameters. Matrices are described by the field of matrix theory. They can be added, multiplied, and decomposed in various ways, which also makes them a key concept in the field of linear algebra. Propositional logic is a logic at the sentential level. The smallest unit we deal with in propositional logic is a sentence. Mathematical reasoning, on the other hand, helps individuals build mathematical critical thinking and logical reasoning. A lack of mathematical reasoning skills may reflect not just in mathematics performance but also in Physics, Chemistry, or Economics."--Back cover

English