How to Think About Analysis

Synopsis

Analysis Is A Core Subject In Most Undergraduate Mathematics Degrees. It Is Elegant, Clever And Rewarding To Learn, But It Is Hard. Even The Best Students Find It Challenging, And Those Who Are Unprepared Often Find It Incomprehensible At First. This Book Aims To Ensure That No Student Need Be Unprepared. Pt. 1. Studying Analysis. What Is Analysis Like? -- Axioms, Definitions And Theorems -- Proofs -- Learning Analysis -- Pt. 2. Studying Analysis. Sequences -- Series -- Continuity -- Differentiability -- Integrability -- The Real Numbers -- Conclusion. By Lara Alcock.