Mathematical Analysis I 2024 pdf epub mobi 電子書下載

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Mathematical Analysis I pdf epub mobi 著者簡介

About the Author

Elias Zakon was born in Russia under the czar in 1908, and he was swept

along in the turbulence of the great events of twentieth-century Europe.

Zakon studied mathematics and law in Germany and Poland, and later he

joined his father’s law practice in Poland. Fleeing the approach of the German

Army in 1941, he took his family to Barnaul, Siberia, where, with the rest of

the populace, they endured five years of hardship. The Leningrad Institute of

Technology was also evacuated to Barnaul upon the siege of Leningrad, and

there he met the mathematician I. P. Natanson; with Natanson’s encourage-

ment, Zakon again took up his studies and research in mathematics.

Zakon and his family spent the years from 1946 to 1949 in a refugee camp

in Salzburg, Austria, where he taught himself Hebrew, one of the six or seven

languages in which he became fluent. In 1949, he took his family to the newly

created state of Israel and he taught at the Technion in Haifa until 1956. In

Israel he published his first research papers in logic and analysis.

Throughout his life, Zakon maintained a love of music, art, politics, history,

law, and especially chess; it was in Israel that he achieved the rank of chess

master.

In 1956, Zakon moved to Canada. As a research fellow at the University of

Toronto, he worked with Abraham Robinson. In 1957, he joined the mathemat-

ics faculty at the University of Windsor, where the first degrees in the newly

established Honours program in Mathematics were awarded in 1960. While

at Windsor, he continued publishing his research results in logic and analysis.

In this post-McCarthy era, he often had as his house-guest the prolific and

eccentric mathematician Paul Erd˝os, who was then banned from the United

States for his political views. Erd˝os would speak at the University of Windsor,

where mathematicians from the University of Michigan and other American

universities would gather to hear him and to discuss mathematics.

While at Windsor, Zakon developed three volumes on mathematical analysis,

which were bound and distributed to students. His goal was to introduce

rigorous material as early as possible; later courses could then rely on this

material. We are publishing here the latest complete version of the second of

these volumes, which was used in a two-semester class required of all second-

year Honours Mathematics students at Windsor.

Mathematical Analysis I pdf epub mobi 圖書描述

This text is an outgrowth of lectures given at the University of Windsor,

Canada. One of our main objectives is updating the undergraduate analysis

as a rigorous postcalculus course. While such excellent books as Dieudonn´e’s

Foundations of Modern Analysis are addressed mainly to graduate students,

we try to simplify the modern Bourbaki approach to make it accessible to

sufficiently advanced undergraduates.

Mathematical Analysis I 2024 pdf epub mobi 電子書下載

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發表於2024-06-23