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**About this book :- **
**Advanced Mathematics: A Transitional Reference ** written by
** Stanley J Farlow **.

This book is the culmination of a set of notes that has been growing and fermenting in a bottom drawer of my desk for over 30 years. The goal was that after the right amount of pedantic aging, they would be ready to uncork the bottle and share with the world. It is my hope that the finished product harbors the perfect blend of intuition and rigorous preciseness, theory versus pragmatism, hard-nosed mathematics, and an enjoyable learning experience.

This book provides a "crash course" in beginning pure mathematics. The book contains six chapters. Chapter 1 covers logic and proofs, introducing the reader to sentential and predicate calculus and mathematical induction. After two introductory sections of sentential logic and the connectives -- and, or, not, if then, if and only if - the author moves up the logical ladder to predicate logic and the universal and existential quantifiers and variables. Chapter 2 examines sets and counting, including an introduction to counting, including permutations, combinations, and the pigeonhole principle. Next, Chapter 3, introduces order relations and the idea of the image and inverse image of a set, concepts important in analysis and topology. A brief tutorial on the complex numbers, a subject often overlooked in undergraduate curricula, is covered in Chapter 4. Next, Chapter 5 introduces a number of sides to topology and covers the basic ideas of point-set topology required for hard analysis, including open and closed sets, limit points, interior, exterior and boundary of a set, and so on. Finally, Chapter 6 provides a brief introduction to symmetries and abstract groups, rings and fields. The book contains many problems for readers of all interests and abilities in each section.

(Stanley J Farlow)

**Book Detail :- **
** Title: ** Advanced Mathematics: A Transitional Reference
** Edition: **
** Author(s): ** Stanley J Farlow
** Publisher: ** Wiley
** Series: **
** Year: ** 2019
** Pages: ** 472
** Type: ** PDF
** Language: ** English
** ISBN: ** 1119563518,9781119563518
** Country: ** US
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**About Author :- **
The author ** Stanley J. Farlow ** has academic degrees from Iowa State University, the University of Iowa, and Oregon State University. He is a former Lieutenant Commander and Public Health Service Fellow who served for several years as a computer analyst at the National Institutes of Health in Bethesda, Maryland. In 1968 he joined the faculty of the University of Maine, where he is currently Professor of Mathematics. He is also the author of Partial Differential Equations for Scientists and Engineers, (currently being published by Dover Publications, Inc.), Finite Mathematics (McGraw-Hill, 1988, 1994), Applied Mathematics (McGraw-Hill, 1988), Introduction to Calculus (McGraw-Hill, 1990), and Calculus and Its Applications (McGraw-Hill, 1990). He has also edited The GMDH Method: Self Organizing Methods in Modeling (Marcel Dekker,1984).

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Advanced Mathematics: A Transitional Reference by Stanley J Farlow **

** • Download PDF An Introduction to Differential Equations & Their Applications by Stanley J Farlow **

** • Download PDF Partial Differential Equations for Scientists & Engineers by Stanley J Farlow **

** • Download PDF Partial Differential Equations for Scientists & Engineers, Soluton Manual by Stanley J Farlow **

** • None Download PDF Partial Differential Equations for Scientists & Engineers, Soluton Manual by Stanley J Farlow **

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**Book Contents :- **
**Advanced Mathematics: A Transitional Reference ** written by
** Stanley J Farlow **
cover the following topics.
'

Possible Beneficial Audiences

Wow Factors of the Book

Chapter by Chapter (the nitty-gritty)

Note to the Reader

About the Companion Website

1. Logic and Proofs

2. Sets and Counting

3. Relations

4. The Real and Complex Number Systems

5. Topology

6. Algebra

Index

- Abstract Algebra
- Calculus
- Differential Equations
- Engineering Mathematics
- Linear Algebra
- Math Magic
- Real Analysis