Dewey Decimal510
Table Of ContentPreface. Sets and Proofs Number Systems Decimals Inequalities nth Roots and Rational Powers Complex Numbers Polynomial Equations Induction Euler's Formula and Platonic Solids Introduction to Analysis The Integers Prime Factorization More on Prime Numbers, Congruence of Integers Counting and Choosing More on Sets Equivalence Relations, Functions Infinity Further Reading
SynopsisFor many students interested in pursuing - or required to pursue - the study of mathematics, a critical gap exists between the level of their secondary school education and the background needed to understand, appreciate, and succeed in mathematics at the university level. A Concise Introduction to Pure Mathematics provides a robust bridge over this gap. In nineteen succinct chapters, it covers the range of topics needed to build a strong foundation for the study of the higher mathematics. Sets and proofs Inequalities Real numbers Decimals Rational numbers Introduction to analysis Complex numbers Polynomial equations Induction Integers and prime numbers Counting methods Countability Functions Infinite sets Platonic Solids Euler's Formula Written in a relaxed, readable style, A Concise Introduction to Pure Mathematics leads students gently but firmly into the world of higher mathematics. It demystifies some of the perceived abstractions, intrigues its readers, and entices them to continue their exploration on to analysis, number theory, and beyond., For many students interested in pursuing - or required to pursue - the study of mathematics, a critical gap exists between the level of their secondary school education and the background needed to understand, appreciate, and succeed in mathematics at the university level. A Concise Introduction to Pure Mathematics provides a robust bridge over this gap. In nineteen succinct chapters, it covers the range of topics needed to build a strong foundation for the study of the higher mathematics. Sets and proofsInequalities Real numbersDecimals Rational numbersIntroduction to analysis Complex numbersPolynomial equations InductionIntegers and prime numbers Counting methodsCountability FunctionsInfinite sets Platonic SolidsEuler's Formula Written in a relaxed, readable style, A Concise Introduction to Pure Mathematics leads students gently but firmly into the world of higher mathematics. It demystifies some of the perceived abstractions, intrigues its readers, and entices them to continue their exploration on to analysis, number theory, and beyond.
LC Classification NumberQA8.4.L47 2000