Pure Mathematics for Beginners (PDF) comprises of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Topology, Real Analysis, Complex Analysis, and Linear Algebra. The 16 lessons in this ebook cover basic through intermediate material from each of these 8 topics. Moreover, all the proof-writing skills that are vital for advanced study in mathematics are covered and reviewed expansively. Pure Mathematics for Beginners is perfect for
- high school teachers working with advanced mathematics students
- lecturers teaching an introductory college curriculum in higher mathematics
- students wishing to see the kind of mathematics they would be exposed to as a mathematics major.
The material in this pure math ebook includes:
- 16 lessons in 8 subject areas.
- A problem set after every lesson arranged by difficulty level.
- A comprehensive solution guide is available (separately) as a downloadable PDF file.
Pure Math Book Table Of Contents (Selected) Here’s a collection from the table of contents:
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
P.S We also have the solutions for this ebook. See related products below
NOTE: The product only includes the ebook, Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra in PDF. No access codes are included.