Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra

Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra

Original price was: $54.99.Current price is: $19.99.

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    PDF 11,11 MB • Pages: 262

    Pure Mathematics for Beginners
    Pure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 16 lessons in this book cover basic through intermediate material from each of these 8 topics. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Pure Mathematics for Beginners is perfect for

     

    • professors teaching an introductory college course in higher mathematics
    • high school teachers working with advanced math students
    • students wishing to see the type of mathematics they would be exposed to as a math major.

    The material in this pure math book includes:

    • 16 lessons in 8 subject areas.
    • A problem set after each lesson arranged by difficulty level.
    • A complete solution guide is included as a downloadable PDF file.

    Pure Math Book Table Of Contents (Selected)
    Here’s a selection from the table of contents:Introduction
    Lesson 1 – Logic: Statements and Truth
    Lesson 2 – Set Theory: Sets and Subsets
    Lesson 3 – Abstract Algebra: Semigroups, Monoids, and Groups
    Lesson 4 – Number Theory: Ring of Integers
    Lesson 5 – Real Analysis: The Complete Ordered Field of Reals
    Lesson 6 – Topology: The Topology of R
    Lesson 7 – Complex Analysis: The Field of Complex Numbers
    Lesson 8 – Linear Algebra: Vector Spaces
    Lesson 9 – Logic: Logical Arguments
    Lesson 10 – Set Theory: Relations and Functions
    Lesson 11 – Abstract Algebra: Structures and Homomorphisms
    Lesson 12 – Number Theory: Primes, GCD, and LCM
    Lesson 13 – Real Analysis: Limits and Continuity
    Lesson 14 – Topology: Spaces and Homeomorphisms
    Lesson 15 – Complex Analysis: Complex Valued Functions
    Lesson 16 – Linear Algebra: Linear Transformations

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