|
![]() |
|||
|
||||
OverviewFor one/two-term courses in Transition to Advanced Mathematics or Introduction to Proofs. Also suitable for courses in Analysis or Discrete Math. This text is designed to prepare students thoroughly in the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics—skills vital for success throughout the upperclass mathematics curriculum. The text offers both discrete and continuous mathematics, allowing instructors to emphasise one or to present the fundamentals of both. It begins by discussing mathematical language and proof techniques (including induction), applies them to easily-understood questions in elementary number theory and counting, and then develops additional techniques of proof via important topics in discrete and continuous mathematics. The stimulating exercises are acclaimed for their exceptional quality. Full Product DetailsAuthor: John D'Angelo , Douglas West , Douglas WestPublisher: Pearson Education (US) Imprint: Pearson Edition: 2nd edition Dimensions: Width: 15.00cm , Height: 2.20cm , Length: 22.80cm Weight: 0.580kg ISBN: 9780134689579ISBN 10: 0134689577 Pages: 432 Publication Date: 26 June 2017 Audience: College/higher education , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: Available To Order ![]() We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsI. ELEMENTARY CONCEPTS. 1. Numbers, Sets and Functions. 2. Language and Proofs. 3. Induction. 4. Bijections and Cardinality. II. PROPERTIES OF NUMBERS. 5. Combinatorial Reasoning. 6. Divisibility. 7. Modular Arithmetic. 8. The Rational Numbers. III. DISCRETE MATHEMATICS. 9. Probability. 10. Two Principles of Counting. 11. Graph Theory. 12. Recurrence Relations. IV. CONTINUOUS MATHEMATICS. 13. The Real Numbers. 14. Sequences and Series. 15. Continuous Functions. 16. Differentiation. 17. Integration. 18. The Complex Numbers.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |