Analysis : with an introduction to proof
著者
書誌事項
Analysis : with an introduction to proof
Prentice Hall, [2001]
3rd ed
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注記
Includes bibliographical references (p. 318) and index
内容説明・目次
内容説明
For courses in Real Analysis, Advanced Calculus, and Transition to Advanced Mathematics or Proofs course.
Carefully focused on reading and writing proofs, this introduction to the analysis of functions of a single real variable helps students in the transition from computationally oriented courses to abstract mathematics by its emphasis on proofs. Student oriented and instructor friendly, it features clear expositions and examples, helpful practice problems, many drawings that illustrate key ideas, and hints/answers for selected exercises.
目次
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.
9. Sequences and Series of Functions.
References.
Hints for Selected Exercises.
Index.
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