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

Warner, Steve

 
9780999811757: Pure Mathematics for Beginners: A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra

Inhaltsangabe

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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Über die Autorin bzw. den Autor

Dr. Steve Warner is a mathematician and test prep expert who has been tutoring students in mathematics for standardized tests since 1999. During this time Dr. Warner has used the feedback from thousands of students to develop a unique system that can be used by anyone to drastically improve his or her math score in a very short period of time. In 2012, Dr. Warner founded "GET 800" in an effort to provide inexpensive test preparation for students who cannot afford to pay $500 per hour for one on one tutoring from a test prep expert. GET 800 offers prep books for the SAT, ACT, SAT subject tests, AP Calculus and Physics exams, GRE and SHSAT. Dr. Warner works with students individually and in group settings, he tutors both live and over video conferencing and he offers free materials in the form of his blog, his YouTube channel, his Facebook page, and Facebook group where he provides test prep advice and answers students questions.

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