Book Pure Mathematics for Beginners by Steve Warner pdf
Pure Mathematics for Beginners by Steve Warner pdf : Pages 262
By Steve Warner
Publisher: Get 800, Year: 2018
A Rigorous Introduction to Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra
This book was written to provide a basic but rigorous introduction to pure mathematics, while exposing
students to a wide range of mathematical topics in logic, set theory, abstract algebra, number theory,
real analysis, topology, complex analysis, and linear algebra.
For students : There are no prerequisites for this book. The content is completely self-contained.
Students with a bit of mathematical knowledge may have an easier time getting through some of the
material, but no such knowledge is necessary to read this book.
More important than mathematical knowledge is “mathematical maturity.” Although there is no single
agreed upon definition of mathematical maturity, one reasonable way to define it is as “one’s ability
to analyze, understand, and communicate mathematics.” A student with a higher level of mathematical
maturity will be able to move through this book more quickly than a student with a lower level of
For instructors: This book can be used for a wide range of courses. Although the lessons can be taught
in the order presented, they do not need to be. The lessons cycle twice among eight subject areas:
logic, set theory, abstract algebra, number theory, real analysis, topology, complex analysis, and linear algebra.
Lessons 1 through 8 give only the most basic material in each of these subjects. Therefore, an instructor
that wants to give a brief glimpse into a wide variety of topics might want to cover just the first eight
lessons in their course.
Lessons 9 through 16 cover material in each subject area that the author believes is fundamental to a
deep understanding of that particular subject.
For a first course in higher mathematics, a high-quality curriculum can be created by choosing among
the 16 lessons contained in this book.