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A Complete Solution Guide to Principles of Mathematical Analysis | Reverse Mathematics: Proofs from the Inside Out | A Radical Approach to Lebesgue's Theory of Integration | Vectors, Pure and Applied | The Elements of Integration and Lebesgue Measure | Introduction to Classical Real Analysis | Algebra: Chapter 0
Starting with the real line, the book moves on to finite-dimensional spaces and then to metric spaces. Readers who work through this text will be ready for courses such as measure theory, functional analysis, complex analysis, and differential geometry. Moreover, they will be well on the road that leads from mathematics student to mathematician.
With this book, well-known author Thomas Körner provides able and hard-working students a great text for independent study or for an advanced undergraduate or first-level graduate course. It includes many stimulating exercises. An appendix contains a large number of accessible but non-routine problems that will help students advance their knowledge and improve their technique.
About: Many students acquire knowledge of a large number of theorems and methods of calculus without being able to say how they work together.
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