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  1. 1

    Number theory through inquiry by Marshall, David C.

    Published 2007
    Table of Contents: “…Introduction -- Divide and conquer -- Prime time -- A modular world -- Fermat's Little Theorem and Euler's Theorem -- Public key cryptography -- Polynomial congruences and primitive roots -- The golden rule : quadratic reciprocity -- Pythagorean triples, sums of squares, and Fermat's Last Theorem -- Rationals close to irrationals and the Pell equation -- The search for primes -- Mathematical induction : the domino effect.…”
    An electronic book accessible through the World Wide Web; click to view
    Electronic eBook
  2. 2

    Complex variables : a physical approach with applications / by Krantz, Steven G. (Steven George), 1951-

    Published 2019
    Table of Contents: “…2.1 The Exponential Function2.1.1 Laws of Exponentiation; 2.1.2 The Polar Form of a Complex Number; Exercises; 2.1.3 Roots of Complex Numbers; 2.1.4 The Argument of a Complex Number; 2.1.5 Fundamental Inequalities; Exercises; 3: Holomorphic and Harmonic Functions; 3.1 Holomorphic Functions; 3.1.1 Continuously Differentiable and Ck Functions; 3.1.2 The Cauchy-Riemann Equations; 3.1.3 Derivatives; 3.1.4 Definition of Holomorphic Function; 3.1.5 Examples of Holomorphic Functions; 3.1.6 The Complex Derivative; 3.1.7 Alternative Terminology for Holomorphic Functions; Exercises…”
    Taylor & Francis
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    Electronic eBook
  3. 3