Description 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 forprofessors teaching an introductory college course in higher mathematicshigh school teachers working with advanced math studentsstudents 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 RLesson 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 LCMLesson 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.
Includes | 16 lessons in 8 subject areas |
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Here's a selection from the table of contents | Introduction |
Logic | Statements and Logical |
Theory | Sets and Ring of Relations and Primes |
Algebra | Semigroups Vector Structures and Linear |
Analysis | The The field of Limits and Complex |
Topology | The Spaces and |