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Mathematical Thinking : Why Everyone Should Study Math / by Howard Karloff
(Compact Textbooks in Mathematics. ISSN:2296455X)
版 | 1st ed. 2023. |
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出版者 | Cham : Springer Nature Switzerland : Imprint: Birkhäuser |
出版年 | 2023 |
本文言語 | 英語 |
大きさ | X, 198 p. 35 illus., 20 illus. in color : online resource |
著者標目 | *Karloff, Howard author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Number theory LCSH:Probabilities FREE:General Mathematics FREE:Number Theory FREE:Probability Theory |
一般注記 | Primes -- The Euclidean Algorithm -- Modular Arithmetic -- Irrationals -- *i* -- Infinities and Diagonalization -- Binary Search -- Newton's Method -- Graph Theory -- Probability -- Fractals -- Solutions to Puzzles -- Acknowledgements -- Bibliography -- Index This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. It has an expansive scope, covering everything from probability and graph theory to infinities and Newton’s method. Many examples of proofs appear as well, offering readers the opportunity to explore these topics with the amount of rigor that suits them. Programming exercises in Python are also included to show how math behaves in action. Mathematical Thinking is an ideal textbook for transition courses aimed at undergraduates moving from lower level to more advanced topics, as well as for math recruitment and invitational courses at the freshman or sophomore level. It may also be of interest in computer science departments and can be used as a supplemental text for courses in discrete mathematics and graph theory HTTP:URL=https://doi.org/10.1007/978-3-031-33203-6 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783031332036 |
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EB00224013 |