Real Analysis : With Proof Strategies / Daniel W. Cunningham.
Material type: TextSeries: Textbooks in MathematicsPublisher: Chapman and Hall/CRC, 2021Edition: 1stDescription: 269 pages : 25 illustrations)Content type:- text
- computer
- online resource
- 9781000294248
- 1000294242
- 23 515.42 CUR
Item type | Current library | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|
Books | Central Library, SUST General Stacks | 515.42 CUR (Browse shelf(Opens below)) | 1 | Available | 0077606 |
Academic
1. Proofs, Sets, Functions, and Induction. 1.1. Proofs. 1.2. Sets. 1.3. Functions. 1.4. Mathematical Induction. 2. The Real Numbers. 2.1. Introduction. 2.2. R is an Ordered Field. 2.3 The Completeness Axiom. 2.4. The Archimedean Property. 2.5. Nested Intervals Theorem. 3. Sequences. 3.1 Convergence. 3.2 Limit Theorems for Sequences. 3.3. Subsequences. 3.4. Monotone Sequences. 3.5. Bolzano–Weierstrass Theorems. 3.6. Cauchy Sequences. 3.7. Infinite Limits. 3.8. Limit Superior and Limit Inferior. 4. Continuity. 4.1. Continuous Functions. 4.2. Continuity and Sequences. 4.3. Limits 0f Functions. 4.4. Consequences 0f Continuity. 4.5 Uniform Continuity. 5. Differentiation. 5.1. The Derivative. 5.2. The Mean Value Theorem. 5.3. Taylor’s Theorem. 6. _ Riemann Integration. 6.1. The Riemann Integral. 6.2. Properties of The Riemann Integral. 6.3. Families of Integrable Functions. 6.4. The Fundamental Theorem of Calculus. 7. Infinite Series. 7.1. Convergence and Divergence. 7.2 Convergence Tests. 7.3. Regrouping and Rearranging Terms of a Series. 8. Sequences and Series of Functions. 8.1 Pointwise and Uniform Convergence. 8.2. Preservation Theorems. 8.3. Power Series. 8.4. Taylor Series. Appendix A: Proof of the Composition Theorem. Appendix B: Topology on the Real Numbers. Appendix C: Review of Proof and Logic.
Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK). UkOxU
Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force. UkOxU
There are no comments on this title.