mathematics

Giovanni Sansone

Giovanni Sansone is a mathematics 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 Giovanni Sansone rather than just read about it. In short: Giovanni Sansone (24 May 1888 – 13 October 1979) was an Italian mathematician, known for his works on mathematical analysis, on the theory of orthogonal functions and on the theory of ordinary differential equations. He was an Invited Speaker of the ICM in Bologna in 1928.

Key takeaways

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

Reference excerpt

Giovanni Sansone (24 May 1888 – 13 October 1979) was an Italian mathematician, known for his works on mathematical analysis, on the theory of orthogonal functions and on the theory of ordinary differential equations. He was an Invited Speaker of the ICM in Bologna in 1928.

Selected publications Sansone, Giovanni; Gerretsen, Johan (1960) [1947], Lectures on the theory of functions of a complex variable. I. Holomorphic functions, Groningen: Erven P. Noordhoff N.V., pp. xii+488, MR 0113988, Zbl 0093.26803. Sansone, Giovanni; Gerretsen, Johan (1969) [1947], Lectures on the theory of functions of a complex variable. II: Geometric theory, Groningen: Wolters-Noordhoff Publishing, pp. x+700, ISBN 978-90-286-0904-4, MR 0259072, Zbl 0188.38104. Sansone, Giovanni (1959) [1952], Orthogonal functions, Pure and Applied Mathematics, vol. 9, New York–London: Interscience Publishers, pp. xii+411, ISBN 978-0-486-66730-0, MR 0103368, Zbl 0084.06106 {{citation}}: ISBN / Date incompatibility (help). Sansone, Giovanni; Conti, Roberto (1956), Equazioni differenziali non lineari, Monografie matematiche del Consiglio Nazionale delle Ricerche (in Italian), vol. 3, Roma: Edizioni Cremonese, pp. XIX+647, MR 0088607, Zbl 0075.26803, translated in English as Sansone, Giovanni; Conti, Roberto (1964), Nonlinear Differential Equations (PDF), International Series of Monographs in Pure and Applied Mathematics, vol. 67, translated by Diamond, Ainsley H., Oxford–London–Edinburg–New York–Paris–Frankfurt: Pergamon Press, pp. XIII+533, ISBN 978-0080101941, MR 0177153, Zbl 0128.08403, archived from the original (PDF) on 2016-07-01, retrieved 2016-10-08 {{citation}}: ISBN / Date incompatibility (help) Reissig, Rolf; Sansone, Giovanni; Conti, Roberto (1964), Qualitative Theorie nichtlineare Differentialgleichungen [Qualitative Theory of Nonlinear Differential Equations] (in German), Roma: Edizioni Cremonese, pp. XXXII+382, MR 0158121, Zbl 0114.04302. Reissig, Rolf; Sansone, Giovanni; Conti, Roberto (1969), Nichtlineare Differentialgleichungen höherer Ordnung, Monografie matematiche del Consiglio Nazionale delle Ricerche (in German), vol. 16, Roma: Edizioni Cremonese, pp. XV+738, MR 0241749, Zbl 0172.10801, translated in English as Reissig, Rolf; Sansone, Giovanni; Conti, Roberto (1974), Non-linear differential equations of higher order, Monographs and Textbooks on Pure and Applied Mathematics, Leyden: Noordhoff International Publishing, pp. xiii+669, ISBN 90-01-75270-5, MR 0344556, Zbl 0275.34001.

Notes

References

Conti, Roberto (1981), "Giovanni Sansone", Bollettino dell'Unione Matematica Italiana, Sezione A, Serie V (in Italian), 18 (1): 151–172, MR 0607219, Zbl 0451.01010. Includes a list of publications. (in Italian) SANSONE, Giovanni, Enciclopedia Italiana - II Appendice (1949)

External links Giovanni Sansone at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Giovanni Sansone

Start with the simplest possible case. Write down what Giovanni Sansone claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, 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 Giovanni Sansone 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 Giovanni Sansone 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 Giovanni Sansone

In research: Giovanni Sansone appears in mathematics 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 Giovanni Sansone 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: Giovanni Sansone is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1888 births, 1979 deaths, Italian academic biography stubs, so understanding it makes those chapters shorter.
In everyday life: Look for Giovanni Sansone 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 Giovanni Sansone in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Giovanni Sansone 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 Giovanni Sansone out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Giovanni Sansone in simple terms?

Why does Giovanni Sansone matter?

Because it connects several mathematics 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 Giovanni Sansone?

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 Giovanni Sansone.