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pure mathematics for beginners by steve warner [pdf]

Pure Mathematics for Beginners by Steve Warner

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About this book :-
Pure Mathematics for Beginners written by Steve Warner.
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. 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 mathematical maturity.
This book increased level of mathematical maturity will not only help you to succeed in advanced math courses, but it will improve your general problem solving and reasoning skills. This will make it easier to improve your performance in college, in your professional life, and on standardized tests such as the SAT, ACT, GRE, and GMAT.

Book Detail :-
Title: Pure Mathematics for Beginners
Author(s): Steve Warner
Publisher: Get 800 Test Prep
Year: 2018
Pages: 262
Type: PDF
Language: English
Country: US
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About Author :- Dr. Steve Warner , a New York native, earned his Ph.D. at Rutgers University in Pure Mathematics in May 2001. While a graduate student, Dr. Warner won the TA Teaching Excellence Award.
After Rutgers, Dr. Warner joined the Penn State Mathematics Department as an Assistant Professor and in September 2002, he returned to New York to accept an Assistant Professor position at Hofstra University. By September 2007, Dr. Warner had received tenure and was promoted to Associate Professor. He has taught undergraduate and graduate courses in Precalculus, Calculus, Linear Algebra, Differential Equations, Mathematical Logic, Set Theory, and Abstract Algebra.
From 2003 – 2008, Dr. Warner participated in a five-year NSF grant, “The MSTP Project,” to study and improve mathematics and science curriculum in poorly performing junior high schools. He also published several articles in scholarly journals, specifically on Mathematical Logic. Dr. Warner has nearly two decades of experience in general math tutoring and tutoring for standardized tests such as the SAT, ACT, GRE, GMAT, and AP Calculus exams.

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Book Contents :-
Pure Mathematics for Beginners written by Steve Warner cover the following topics.
1. Logic: Statements and Truth
2. Set Theory: Sets and Subsets
3. Abstract Algebra: Semigroups, Monoids, and Groups
4. Number Theory: The Ring of Integers
5. Real Analysis: The Complete Ordered Field of Reals
6. Topology: The Topology of R
7. Complex Analysis: The Field of Complex Numbers
8. Linear Algebra: Vector Spaces
9. Logic: Logical Arguments
10. Set Theory: Relations and Functions
11. Abstract Algebra: Structures and Homomorphisms
12. Number Theory: Primes, GCD, and LCM
13. Real Analysis: Limits and Continuity
14. Topology: Spaces and Homeomorphisms
15. Complex Analysis: Complex Valued Functions
16. Linear Algebra: Linear Transformations
About the Author

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