A Concise Introduction to Pure Mathematics
(Sprache: Englisch)
Accessible to all students with a sound background in high school mathematics, this popular text presents some of the most fundamental and beautiful ideas in pure mathematics. Along with numerous new exercises, this edition includes two new chapters that...
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Accessible to all students with a sound background in high school mathematics, this popular text presents some of the most fundamental and beautiful ideas in pure mathematics. Along with numerous new exercises, this edition includes two new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applications. It also contains new material on inequalities, counting methods, the inclusion-exclusion principle, and Euler's phi function.
Inhaltsverzeichnis zu „A Concise Introduction to Pure Mathematics “
Sets and Proofs. Number Systems. Decimals. nth Roots and Rational Powers. Inequalities. Complex Numbers. Polynomial Equations. Induction. Euler's Formula and Platonic Solids. The Integers. Prime Factorization. More on Prime Numbers. Congruence of Integers. More on Congruence. Secret Codes. Counting and Choosing. More on Sets. Equivalence Relations. Functions. Permutations. Infinity. Introduction to Analysis: Bounds. More Analysis: Limits. Yet More Analysis: Continuity. Introduction to Abstract Algebra: Groups. Introduction to Abstract Algebra: More on Groups. Solutions to Odd-Numbered Exercises. Further Reading. Index of Symbols. Index.
Autoren-Porträt von Martin Liebeck
Martin Liebeck is a professor of pure mathematics at Imperial College London. He earned his B.A., M.Sc., and D.Phil. in mathematics from the University of Oxford. Dr. Liebeck has published over 130 research articles and seven books. His research interests encompass algebraic groups, finite simple groups, probabilistic group theory, permutation groups, and algebraic combinatorics.
Bibliographische Angaben
- Autor: Martin Liebeck
- 2015, 4. Auflage, xv, 301 Seiten, 37 Abbildungen, Maße: 15,4 x 23,3 cm, Taschenbuch, Englisch
- Verlag: Taylor & Francis
- ISBN-10: 149872292X
- ISBN-13: 9781498722926
- Erscheinungsdatum: 03.11.2015
Sprache:
Englisch
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