cambridge igcse mathematics extended practice book 2e [pdf]
Cambridge IGCSE Mathematics, 2E by Karen Morrison, Lucille Dunne
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About this book :-
Cambridge IGCSE Mathematics, 2E written by
Karen Morrison, Lucille Dunne .
This book is the culmination of a set of notes that has been growing and fermenting in a bottom drawer of my desk for over 30 years. The goal was that after the right amount of pedantic aging, they would be ready to uncork the bottle and share with the world. It is my hope that the finished product harbors the perfect blend of intuition and rigorous preciseness, theory versus pragmatism, hard-nosed mathematics, and an enjoyable learning experience.
This book provides a "crash course" in beginning pure mathematics. The book contains six chapters. Chapter 1 covers logic and proofs, introducing the reader to sentential and predicate calculus and mathematical induction. After two introductory sections of sentential logic and the connectives -- and, or, not, if then, if and only if - the author moves up the logical ladder to predicate logic and the universal and existential quantifiers and variables. Chapter 2 examines sets and counting, including an introduction to counting, including permutations, combinations, and the pigeonhole principle. Next, Chapter 3, introduces order relations and the idea of the image and inverse image of a set, concepts important in analysis and topology. A brief tutorial on the complex numbers, a subject often overlooked in undergraduate curricula, is covered in Chapter 4. Next, Chapter 5 introduces a number of sides to topology and covers the basic ideas of point-set topology required for hard analysis, including open and closed sets, limit points, interior, exterior and boundary of a set, and so on. Finally, Chapter 6 provides a brief introduction to symmetries and abstract groups, rings and fields. The book contains many problems for readers of all interests and abilities in each section.
Book Detail :-
Title: Cambridge IGCSE Mathematics
Edition: Second Edition
Author(s): Karen Morrison, Lucille Dunne
Publisher: Cambridge University Press
Type: Read Online
ISBN: 1108437214, 9781108437219
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About Author :-
The author Karen Morrison lives and works in Cape Town, South Africa. She runs an independent publishing services company which works with a number of large international publishers. Karen is the author of a number of mathematics and science textbooks, many developed and written in collaboration with authors local to the market for the books. She is also the author of several children's stories. In her free time she makes jewellery as a hobby
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Book Contents :-
Cambridge IGCSE Mathematics, 2E written by
Karen Morrison, Lucille Dunne
cover the following topics.
Unit 1; 1. Reviewing number concepts; 2. Making sense of algebra; 3. Lines, angles and shapes; 4. Collecting, organising and displaying data; Unit 2. 5. Fractions and standard form; 6. Equations and transforming formulae; 7. Perimeter, area and volume; 8. Introduction to probability; Unit 3. 9. Sequences and sets; 10. Straight lines and quadratic equations; 11. Pythagoras' theorem and similar shapes; 12. Averages and measures of speed; Examination practice; Unit 4. 13. Understanding measurement; 14. Further solving of equations and inequalities; 15. Scale drawings, bearings and trigonometry; 16. Scatter diagrams and correlation; Unit 5. 17; Managing money; 18. Curved graphs; 19. Symmetry; 20. Histograms and frequency distribution diagrams; Unit 6. 21. Ratio, rate and proportion; 22. More equations, formulae and functions; 23. Vectors and transformations; 24. Probability using tree diagrams and Venn diagrams; Examination practice; Answers.
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