The authors teach how to organize and structure mathematical thoughts, how to read and manipulate abstract definitions, and how to prove or refute proofs by effectively evaluating them. There is a large array of topics and many exercises.
Mathematical Thinking and Writing teaches readers to construct proofs and communicate with the precision necessary for working with abstraction .
Preface 1.
The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically to analyze a situation, extract ...
This book prepares students for the more abstract mathematics courses that follow calculus.
This text is also useful for scientists, engineers, and others seeking to refresh their skills in advanced math.
For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn’s lemma and the axiom of choice are included.
The text is intended for use in bridge or transition courses designed to prepare students for the abstraction of higher mathematics.
The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text.
... its truth value . ( a ) " The capital of Ohio is Toledo . ” ( b ) " Dogs are better than cats . " ( c ) " Stop here . " ( d ) " Leonhard Euler was born in 1707. ” ( e ) 66 x2 + 3x - 7 = 0 99 2. For each of the following sentences ...
This book is intended for students preparing for mathematics courses beyond the traditional Calculus sequence.