Resources & Links
- Analysis: BritannicaAnalysis, a branch of mathematics that deals with continuous change and with certain general types of processes that have emerged from the study of continuous change, such as limits, differentiation, and integration.
- Analysis: Wolfram MathWorldThe term analysis is used in two ways in mathematics. It describes both the discipline of which calculus is a part and one form of abstract logic theory.
- What is Analysis?Roughly speaking, analysis deals with approximation of certain mathematical objects--like numbers or functions--by other objects which are easier to understand or to handle.
Research & Reference
- Mathematical Analysis: Credo ReferenceA Credo Reference landing page on mathematical analysis. This page includes links to reference works, journal articles, and a mind map.
Meaningful Mathematics
Regardless of how well your students performed on the latest math assessment, how can you make sure that your program is teaching students the essential math concepts that they’ll need for the next assessment and beyond?
Source: AVON
Perspectives
A Course in Real Analysis
The second edition of A Course in Real Analysis provides a solid foundation of real analysis concepts and principles, presenting a broad range of topics in a clear and concise manner. The book is excellent at balancing theory and applications with a wealth of examples and exercises. The authors take a progressive approach of skill building to help students learn to absorb the abstract. Real world applications, probability theory, harmonic analysis, and dynamical systems theory are included, offering considerable flexibility in the choice of material to cover in the classroom. The accessible exposition not only helps students master real analysis, but also makes the book useful as a reference.
Foundations of Analysis
This treatment develops the real number system and the theory of calculus on the real line, extending the theory to real and complex planes. Designed for students with one year of calculus, it features extended discussions of key ideas and detailed proofs of difficult theorems. 1991 edition.
Fundamental Concepts in Modern Analysis
Many advanced mathematical disciplines, such as dynamical systems, calculus of variations, differential geometry and the theory of Lie groups, have a common foundation in general topology and calculus in normed vector spaces. In this book, mathematically inclined engineering students are offered an opportunity to go into some depth with fundamental notions from mathematical analysis that are not only important from a mathematical point of view but also occur frequently in the more theoretical parts of the engineering sciences. The book should also appeal to university students in mathematics and in the physical sciences.