System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
This is first course in mathematical analysis, for students who have some familiarity with calculus, but are not familiar with formal proofs. All but the most straightforward proofs are worked out in detail before being presented formally in this book. Thus most of the ideas are expressed in two different ways; the first encourages and develops the intuition and the second gives a feeling for what constitutes a proof. In this way, intuition and rigor appear as partners rather than competitors. The informal discussions, the examples and the exercises may assume some familiarity with calculus, but the definitions, theorems and formal proofs are presented in the correct logical order and assume no prior knowledge of calculus. Thus some basic principles of calculus are blended into the presentation rather than being completely excluded.
Contents:
- The Real Numbers
- Sequences and Series
- Continuous Functions
- Differentiable Functions
- Further Results on Infinite Series
- Special Functions
- The Riemann Integral
- The Number π
Readership: Mathematicians, physicists and undergraduates.
