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

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41#
發(fā)表于 2025-3-28 16:01:50 | 只看該作者
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
42#
發(fā)表于 2025-3-28 19:29:36 | 只看該作者
43#
發(fā)表于 2025-3-29 02:28:40 | 只看該作者
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
44#
發(fā)表于 2025-3-29 05:19:20 | 只看該作者
45#
發(fā)表于 2025-3-29 09:32:16 | 只看該作者
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
46#
發(fā)表于 2025-3-29 11:38:36 | 只看該作者
47#
發(fā)表于 2025-3-29 19:32:05 | 只看該作者
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
48#
發(fā)表于 2025-3-29 22:53:46 | 只看該作者
49#
發(fā)表于 2025-3-30 01:17:42 | 只看該作者
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