Introduction to Mathematical Thinking Algebra and Number Systems

ISBN-10: 0131848682
ISBN-13: 9780131848689
Edition: 2005
List price: $117.80 Buy it from $55.44 Rent it from $19.10
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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  More...

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Book details

List price: $117.80
Copyright year: 2005
Publisher: Prentice Hall PTR
Publication date: 7/22/2004
Binding: Paperback
Pages: 312
Size: 6.97" wide x 9.17" long x 0.55" tall
Weight: 1.364
Language: English

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.

Logic and Proofs
Integers and Diophantine Equations
Congruences
Induction and the Binomial Theorem
Rational and Real Numbers
Functions and Bijections
An Introduction to Cryptography
Complex Numbers
Polynomial Equations
Trigonometry
Inequalities
Further Reading
Answers

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