Introduction To Analysis With Complex Numbers

Introduction To Analysis With Complex Numbers By Swanson, Irena Published by World Scientific Publishing Company Publication Date: 2021-03-25 Subject: Mathematics Complex Analysis, Mathematics Functional Analysis, Mathematics General, Mathematics Complex Analysis, Mathematics Functional Analysis, Real Analysis, Real Variables, Real Analysis, Real Variables, Mathematics Functional Analysis, Mathematics, Functional Analysis, Mathematics Complex Analysis, Complex Analysis, Mathematics General, General, Anf: Mathematics Subject Keywords: Analysis; Real Analysis; Complex Analysis; Proof Writing; Introduction to Proof Writing; Logic; Basic Structures; Sets; Set Theory; Relations; Equivalence Relations; Functions; Binary Operations; Fields; Order; Ordered Sets; Complex Numbers; Construction of Natural Numbers; Construction of Real Numbers; Dedekind Cuts; Least Upper Bound Theorem; Topology; Heine-Borel Theorem; Open and Closed Sets; Limit Points of Sets; Limits; Liminf; Limsup; Epsilon-Delta Definition; Many Examples; Many Proof Examples; Continuity; Intermediate Value Theorem; Extreme Value Theorem; Differentiation; Differentiation with Proofs; Mean Value Theorem; Taylor Polynomials; Taylor Remainder Theorem; Integration; Riemann Sums; Integrability; Fundamental Theorem of Calculus; Natural Algorithm; Real Exponential Function; Applications of Integration; Areas; Signed Areas; Volumes of Solids of Integration; Length of Curves; Surface Areas; Sequences; Series; Ratio Test; Root Test; Integral Test; Power Series; Radius of Convergence; Differentiability of Power Series; Numerical Calculations of Series; Taylor Series; Complex Exponential Function; Trigonometry; How to Write Proofs Genre: Real Analysis, Real Variables, Mathematics, Functional Analysis, Mathematics, Complex Analysis, Mathematics, General, Real Analysis, Real Variables Target Audience: Tertiary education