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2. Word problem (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Word_problem_(mathematics)

   Word problem (mathematics) In computational mathematics, a word problem is the problem of deciding whether two given expressions are equivalent with respect to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well.

3. Equation solving - Wikipedia

   en.wikipedia.org/wiki/Equation_solving

   Solving an equation symbolically means that expressions can be used for representing the solutions. For example, the equation x + y = 2x – 1 is solved for the unknown x by the expression x = y + 1, because substituting y + 1 for x in the equation results in (y + 1) + y = 2 (y + 1) – 1, a true statement. It is also possible to take the ...

4. Mathematical optimization - Wikipedia

   en.wikipedia.org/wiki/Mathematical_optimization

   A feasible solution that minimizes (or maximizes, if that is the goal) the objective function is called an optimal solution . In mathematics, conventional optimization problems are usually stated in terms of minimization. A local minimum x* is defined as an element for which there exists some δ > 0 such that.

5. How to Solve It - Wikipedia

   en.wikipedia.org/wiki/How_to_Solve_It

   Genre. Mathematics, problem solving. Publication date. 1945. ISBN. 9780691164076. How to Solve It (1945) is a small volume by mathematician George Pólya, describing methods of problem solving. [1] This book has remained in print continually since 1945.

6. Algebra - Wikipedia

   en.wikipedia.org/wiki/Algebra

   Solving an equation corresponds to adding and removing objects on both sides in such a way that the sides stay in balance until the only object remaining on one side is the object of unknown mass. The use of word problems is another tool to show how algebra is applied to real-life situations. For example, students may be presented with a ...

7. Linear algebra - Wikipedia

   en.wikipedia.org/wiki/Linear_algebra

   The blue line is the common solution to two of these equations. Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. [1] [2] [3] Linear algebra is central to almost all areas of mathematics.