astronomy

Tianxin Cai

Tianxin Cai is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Tianxin Cai rather than just read about it. In short: Cai Tianxin (Chinese: 蔡天新, born March 3, 1963, in Taizhou, Zhejiang) is a Chinese mathematician, poet, and essayist noted for his books Mathematical Legends, A Brief History of Mathematics, Mathematics an Arts, A Modern Introduction to Classical Number Theory, Little memory: my Childhood in Mao’s Time, etc. He is a professor in the Mathematical School of Zhejiang University.

Key takeaways

Tianxin Cai belongs to astronomy; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Tianxin Cai to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Tianxin Cai from memory before moving on to harder problems.

Reference excerpt

Cai Tianxin (Chinese: 蔡天新, born March 3, 1963, in Taizhou, Zhejiang) is a Chinese mathematician, poet, and essayist noted for his books Mathematical Legends, A Brief History of Mathematics, Mathematics an Arts, A Modern Introduction to Classical Number Theory, Little memory: my Childhood in Mao’s Time, etc. He is a professor in the Mathematical School of Zhejiang University.

Early life and education Cai was born in Taizhou, Zhejiang Province. He spent his childhood around 7 villages and one small town in southeastern China. He gained bachelor (1982), master (1984) and doctorate (1987) degrees at Shandong University, and his doctoral advisor was Pan Chengdong (潘承洞), whose supervisor Ming Shihe got Ph.D. in University of Oxford under the direct of E. C. Titchmarch.  Cai became full professor in Hangzhou University in 1994, and full professor in Zhejiang University since 1998.

Research interests Additive and multiplicative number theory, perfect numbers, congruence modulo integer power, Witten zeta values; history of mathematics, history of arts.

Writing and Publications Cai has published more than 30 books of poetry, essays, travels, photograph, autobiography, popular mathematics and number theory. His work has been translated into more than 20 languages, and he has published more than 20 books worldwide. He has translated or edited 8 volumes of modern world poetry. He was selected by Herinrich and Jane Ledig-Rowohlt Foundation as a resident writer at the Chateau de Lavigny, Switzerland in 2007, a guest of the Arabic Capital of Culture in Baghdad, Iraq in 2014, and participated the International Writing Program in Iowa, USA in 2018.

Books Song of the quiet life, translated by Robert Berold and Cai Tianxin, Deep South, South Africa, 2005. Every Cloud Has Its Own Name, translated by Robert Berold and Cai Tianxin, 1-plus, San Francisco, 2017. The Book of Numbers, World Scientific, Singapore, 2018. A Modern Introduction to Classical Number Theory, World Scientific, Singapore, 2018. Perfect Numbers and Fibonacci Sequences, translated by Tyer Ross, World Scientific, Singapore, 2022. A Brief History of Mathematics, translated by Tyer Ross, to appear in Springer Nature, New York.

Awards and honors Naji Naaman Literary Prize for Poetry, Beirut, 2013 China’s National Science and Technology Award, Beijing, 2018 Kathak Literary Award for Poetry, Dakar, 2019 Dang Dang Award for Influential Writer, Beijing, 2022

References

Worked examples

Example 1 — a first encounter with Tianxin Cai

Start with the simplest possible case. Write down what Tianxin Cai claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Tianxin Cai before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Tianxin Cai ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Tianxin Cai

In research: Tianxin Cai appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Tianxin Cai in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Tianxin Cai is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1963 births, Academic staff of Zhejiang University, Chinese male poets, so understanding it makes those chapters shorter.
In everyday life: Look for Tianxin Cai outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Tianxin Cai in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Tianxin Cai means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Tianxin Cai out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Tianxin Cai in simple terms?

Cai Tianxin (Chinese: 蔡天新, born March 3, 1963, in Taizhou, Zhejiang) is a Chinese mathematician, poet, and essayist noted for his books Mathematical Legends, A Brief History of Mathematics, Mathematics an Arts, A Modern Introduction to Classical Number Theory, Little memory: my Childhood in Mao’s T…

Why does Tianxin Cai matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Tianxin Cai?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Tianxin Cai.