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Mathematics: A Multifaceted Discipline

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Questions and Answers

What are the major subdisciplines of modern mathematics?

The major subdisciplines of modern mathematics are number theory, algebra, geometry, and analysis.

What does a proof in mathematics consist of?

A proof consists of a succession of applications of deductive rules to already established results, including previously proved theorems, axioms, and basic properties.

How is mathematical activity described in the text?

Mathematical activity is described as the discovery of properties of abstract objects and the use of pure reason to prove them.

In what ways is mathematics essential according to the text?

According to the text, mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Signup and view all the answers

How are some areas of mathematics, such as statistics and game theory, developed?

Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Signup and view all the answers

What are the two sections the learning materials are organised into?

The learning materials are organised into two sections, organised by English level. Signup and view all the answers

Why is it important to revise and practice grammar?

By revising and practising your grammar you will increase your confidence in English and improve your language level. Signup and view all the answers

What is the best way to improve your grammar?

Practising little and often is the best way to improve your grammar. Signup and view all the answers

Where can you find online grammar lessons and modules to improve your writing?

You can find online grammar lessons and modules to improve your writing at English Grammar 101. Signup and view all the answers

What is the feedback from teachers about English Grammar 101?

The feedback from teachers about English Grammar 101 includes phrases like 'This site is an absolute treasure' and 'very happy to have discovered English Grammar 101'. Signup and view all the answers

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