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

meditation

Counting, can find counting problems in everyday life and in calculating probabilities (how likely is it to have two pairs in a poker hand?). You have already seen some counting problems in previous chapters and learned about the recursion technique. In this chapter we will take a systematic look at counting problems.

火光在摇曳

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 myself.

冷漠

Logic and proofs, Therefore, if you want to argue reliably then you should know well both the basic logical structures and the phrases we use to express them. In the course of a mathematical investigation you make observations, discover patterns, have insights, make conjectures. In order to be sure that a conjecture is true you need a proof.

annexation

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 simple number-theoretic terms.

藕床生厌倦

RADE

Ovulation

贞洁

Thrombolysis

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