- Format: Hardback
- Number of Pages: 362 pages
- Dimensions: 152 x 232 x 28mm
- Weight: 659.99g
- Publication date: 20 Mar 2014
- Publisher: Elsevier Science Publishing Co Inc
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. * Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers.* Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces * Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration * Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.