Mathematical thinking why everyone should study math /
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 probabi...
| Main Author: | Karloff, Howard, 1961- |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | Electronic |
| Language: | English |
| Published: |
Cham, Switzerland :
Birkhäüser,
[2023]
Cham, Switzerland : [2023] |
| Physical Description: |
1 online resource. |
| Series: |
Compact textbooks in mathematics.
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| Subjects: |
| Summary: |
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 Newtons 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. |
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| Item Description: |
Includes bibliographical references and index. 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 Newtons 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. |
| Physical Description: |
1 online resource. |
| Bibliography: |
Includes bibliographical references and index. |
| ISBN: |
9783031332036 3031332032 |