Titlebook: Exploring Mathematics; Problem-Solving and Daniel Grieser Textbook 2018 Springer Nature Switzerland AG 2018 MSC (2010): 00-01, 00A07, 00A0

无思维能力

Graphs,mathematics. They bear no relation to formulas or equations, nor to geometry. But thinking about them leads to a lot of interesting mathematics, and you will discover some of that mathematics in this chapter. You will use mathematical induction in a new context and learn some new techniques for prob

良心

Rodent

General problem solving strategies: Similar problems, working forward and backward, interim goals,ll help me to recall how I solved a similar problem. If I want to reach a goal then I can think about which steps I should do first in order to get there (working forward); or I can think about what could be the last step, reaching the goal (working backward), and what interim goals I could set for

持久

callous

Elementary number theory, with since you were a small child. Therefore number theory is very suitable for your exploration of mathematics, and you will find number-theoretic problems in many places in this book. Number theory has many faces: some of the hardest problems of mathematics, still unsolved today, are stated in si

令人心醉

Optometrist

The extremal principle,tremes etc.) show how deeply ingrained the idea of the extreme is in us. Moreover, the scientific view of the world reveals extremes everywhere: the soap bubble tries to minimise its surface area and is therefore spherical, chemical reactions strive towards a state of minimal energy, and so on. Look

Innovative

Aprope