Some Exercises in Pure Mathematics with Expository Comments [Paperback]

This book is about some of the ideas that are important for students of mathematics at the stage of transition from school to university.This book is about some of the ideas that are important for students of mathematics at the stage of transition from school to university. It contains 200 exercises on a wide range of interrelated topics in algebra, analysis and geometry, with explanations and informative comments.This book is about some of the ideas that are important for students of mathematics at the stage of transition from school to university. It contains 200 exercises on a wide range of interrelated topics in algebra, analysis and geometry, with explanations and informative comments.This book is about some of the ideas that are important for students of mathematics at the stage of transition from school to university. It contains 200 exercises on a wide range of interrelated topics in algebra, analysis and geometry, with explanations and informative comments. It has a comprehensive index, and can be used either as a reference book or as a framework for a systematic course of study. The book originated in sets of annotated exercises prepared for students and teachers working to an experimental syllabus of the Welsh Joint Education Committee. It will be useful to undergraduates and others who wish to develop their understanding of fundamental mathematics.Preface; Part I: Exercises; 1. First collection (150); 2. Second collection (51100); 3. Third collection (101140); 4. Fourth collection (141200) (6 examination papers); Part II: Exposition; 5. Solutions and comments for exercises 150; 6. Hints and comments for exercises 51100; Appendices; Index.