Introduction to Mathematical Thinking, 1st Edition
Algebra and Number Systems
Author: Scott Vanstone and Will Gilbert
Paperback
This textbook is prescribed for the following courses:
Paperback
PRODUCT INFORMATION
Summary
This text introduces the freshman mathematics and computer science student to proofs and mathematical thinking while teaching basic algebraic skills involving number systems, including the integers and complex numbers.
Description
For a first course in proof for Mathematics or Computer Science majors.
Besides giving students the techniques for solving polynomial equations and congruences, An Introduction to Mathematical Thinking provides preparation for more advanced courses in Linear and Modern Algebra, as well as Calculus. This text introduces the mathematics and computer science student to proofs and mathematical thinking while teaching basic algebraic skills involving number systems, including the integers and complex numbers. Ample questions at the end of each chapter provide opportunities for learning and practice; the Exercises are routine applications of the material in the chapter, while the Problems require more ingenuity, ranging from easy to nearly impossible. This extensive pedagogy offers extreme flexibility to instructors for class and homework assignments.
About the Author
WILLIAM J. GILBERT, DPHil, is a professor in the Department of Pure Mathematics at the University of Waterloo, Ontario, Canada. He received his DPhil in mathematics from Oxford University in 1968.
W. KEITH NICHOLSON, PHD, is a professor in the Department of Mathematics and Statistics at the University of Calgary, Alberta, Canada. He received his PhD in pure mathematics from the University of California at Santa Barbara in 1970.
For a first course in proof for Mathematics or Computer Science majors. Besides giving students the techniques for solving polynomial equations and congruences, An Introduction to Mathematical Thinking provides preparation for more advanced courses in Linear and Modern Algebra, as well as Calculus. This text introduces the mathematics and computer science student to proofs and mathematical thinking while teaching basic algebraic skills involving number systems, including the integers and complex numbers. Ample questions at the end of each chapter provide opportunities for learning and practice; the Exercises are routine applications of the material in the chapter, while the Problems require more ingenuity, ranging from easy to nearly impossible. This extensive pedagogy offers extreme flexibility to instructors for class and homework assignments.
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