Search results
Results from the WOW.Com Content Network
The book is aimed at a "general mathematical audience" [1] including undergraduate mathematics students with an introductory-level background in real analysis. [2] It is intended both to excite mathematicians, physicists, and computer scientists about the foundational issues in their fields, [6] and to provide an accessible introduction to the subject.
Statistical assumptions can be put into two classes, depending upon which approach to inference is used. Model-based assumptions. These include the following three types: Distributional assumptions. Where a statistical model involves terms relating to random errors, assumptions may be made about the probability distribution of these errors. [5]
[1] [2] The precise definition varies across fields of study. In classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. [3] In modern logic, an axiom is a premise or starting point for reasoning. [4] In mathematics, an axiom may be a "logical axiom" or a "non ...
Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Donate; Pages for logged out editors learn more
In mathematics and logic, a direct proof is a way of showing the truth or falsehood of a given statement by a straightforward combination of established facts, usually axioms, existing lemmas and theorems, without making any further assumptions. [1]
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). [25] Modern numerical analysis does not seek exact answers, because exact answers are often impossible to obtain in practice.
Dividing both sides by 2 yields b 2 = 2c 2. But then, by the same argument as before, 2 divides b 2 , so b must be even. However, if a and b are both even, they have 2 as a common factor.
Title page for the third edition of the book. A Course of Modern Analysis: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions (colloquially known as Whittaker and Watson) is a landmark textbook on mathematical analysis written by Edmund T. Whittaker and George N. Watson, first published by Cambridge ...