Wearing Gauss's Jersey

ISBN-13: 9780367380113 / Angielski / Miękka / 2019 / 276 str.

Dean Hathout

Opis

This text focuses on "Gauss problems"—problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but if approached in a more insightful fashion, can yield the solution much more easily and elegantly. The book shows how mathematical problem solving can be fun and how students can improve their mathematical insight, regardless of their initial level of knowledge. Illustrating the underlying unity in mathematics, it also explores how problems seemingly unrelated on the surface are actually extremely connected to each other.

Spis treści

Arithmetic Sequences and Series. Geometric Sequences and Series. Counting and Combinatorics. Polynomials and Their Roots. Rates and Ratios. Changing Perspectives (Algebra and Geometry, and Other Perspective Changes). Complex Numbers. Number Theory and Modular Arithmetic. Miscellaneous and Contest Problems. Calculus. Epilogue. Conclusions.

O autorze

Hathout, Dean