Howard Karloff – författare

“To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming from the Simplex Method…via the Ellipsoid algorithm to Karmarkar’s algorithm. Moreover, its point of view is algorithmic and thus it provides both a history and a case history of work in complexity theory. The presentation is admirable; Karloff''s style is informal...without sacrificing anything necessary for understanding. Diagrams...aid in providing clarity. The end-of-chapter notes are helpful...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study.” (Choice Reviews)

“The reader will be well served by reading the monograph from cover to cover.” (Mathematics of Computing)

“This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice.” (Zentralblatt Math)

“The exposition is clear and elementary; it also contains many exercises and illustrations.” (Mathematical Reviews)

“A self-contained, concise mathematical introduction to the theory of linear programming.” (Journal of Economic Literature)

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.