1.

Record Nr.

UNINA9910739484603321

Autore

Karloff Howard <1961->

Titolo

Mathematical Thinking : Why Everyone Should Study Math / / by Howard Karloff

Pubbl/distr/stampa

Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2023

ISBN

3-031-33203-2

Edizione

[1st ed. 2023.]

Descrizione fisica

1 online resource (X, 198 p. 35 illus., 20 illus. in color.)

Collana

Compact Textbooks in Mathematics, , 2296-455X

Disciplina

510

Soggetti

Mathematics

Number theory

Probabilities

General Mathematics

Number Theory

Probability Theory

Matemàtica

Llibres de text

Raonament

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

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.

Sommario/riassunto

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.