Discrete Transition to Advanced Mathematics
List price: $170.95
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Description: As the title indicates, this text is intended for courses aimed at bridging the gap between lower level mathematics and advanced mathematics. The transition to advanced mathematics presented is discrete since continuous functions are not studied. The text provides a careful introduction to techniques for writing proofs and a logical development of topics based on intuitive understanding of concepts. The authors utilize a clear writing style and a wealth of examples to develop an understanding of discrete mathematics and critical thinking skills. Including more topics than can be covered in one semester, the text offers innovative material throughout, particularly in the last three chapters (e.g. Fibonacci Numbers and Pascal's Triangle). This allows flexibility for the instructor and the ability to teach a deeper, richer course.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $170.95
Copyright year: 2004
Publication date: 7/21/2003
Size: 7.50" wide x 9.25" long x 0.75" tall
|Sets And Logic|
|Logic and Truth Tables|
|The Pigeonhole Principle|
|The Euclidean Algorithm|
|The Fundamental Theorem of Arithmetic|
|Getting from Point A to Point B|
|The Fundamental Principle of Counting|
|A Formula for the Binomial Coefficients|
|Combinatorics with Indistinguishable Objects|
|Functions and Cardinality|
|Inverse Relations and Inverse Functions|
|Cardinality of Infinite Sets|
|An Order Relation for Cardinal Numbers|
|Matrices, Digraphs, and Relations|
|Shortest Paths in Weighted Graphs|
|Limits of Sequences of Real Numbers|
|Some Convergence Properties|
|Fibonacci Numbers And Pascal's Triangle|
|The Fibonacci Numbers|
|The Golden Ratio|
|Fibonacci Numbers and the Golden Ratio|
|Pascal's Triangle and the Fibonacci Numbers|
|Finite Continued Fractions|
|Convergents of a Continued Fraction|
|Infinite Continued Fractions|
|Applications of Continued Fractions|