Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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A Discrete Transition to Advanced Mathematics (Hardcover)
Loot Price: R1,663
Discovery Miles 16 630
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A Discrete Transition to Advanced Mathematics (Hardcover)
Series: Pure and Applied Undergraduate Texts
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As the title indicates, this book is intended for courses aimed at
bridging the gap between lower-level mathematics and advanced
mathematics. 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. While
including many traditional topics, the text offers innovative
material throughout. Surprising results are used to motivate the
reader. The last three chapters address topics such as continued
fractions, infinite arithmetic, and the interplay among Fibonacci
numbers, Pascal's triangle, and the golden ratio, and may be used
for independent reading assignments. The treatment of sequences may
be used to introduce epsilon-delta proofs. The selection of topics
provides flexibility for the instructor in a course designed to
spark the interest of students through exciting material while
preparing them for subsequent proof-based courses.
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