Analysis: an introduction to proof, 5th edition

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Автор: Lay, Steven R.

Название: Analysis: an introduction to proof, 5th edition

Язык: английский

Издательство: Pearson Education Limited; Pearson New International Edition edition

Год: 2013

Объем: 368 p.

Формат: pdf

Размер: 11,5 mb

For courses in undergraduate Analysis and Transition to Advanced Mathematics. Analysis with an Introduction to Proof, Fifth Edition helps fill in the groundwork students need to succeed in real analysis-often considered the most difficult course in the undergraduate curriculum. By introducing logic and emphasizing the structure and nature of the arguments used, this text helps students move carefully from computationally oriented courses to abstract mathematics with its emphasis on proofs. Clear expositions and examples, helpful practice problems, numerous drawings, and selected hints/answers make this text readable, student-oriented, and teacher- friendly.

1. Logic and Proof

2. Sets and Functions

3. The Real Numbers

4. Sequences

5. Limits and Continuity

6. Differentiation

7. Integration

8. Infinite Series Steven R. Lay

Glossary of Key Terms

Index

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