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Math Talks for Undergraduates

  • Book
  • © 1999

Overview

Authors:
  1. Serge Lang

    1. Department of Mathematics, Yale University, New Haven, USA

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Prime Numbers

    • Serge Lang
    Pages 1-17

  3. The abc Conjecture

    • Serge Lang
    Pages 18-31

  4. Global Integration of Locally Integrable Vector Fields

    • Serge Lang
    Pages 32-48

  5. Approximation Theorems of Analysis

    • Serge Lang
    Pages 49-78

  6. Bruhat-Tits Spaces

    • Serge Lang
    Pages 79-100

  7. Harmonic and Symmetric Polynomials

    • Serge Lang
    Pages 101-121
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Keywords

About this book

For many years Serge Lang has given talks to undergraduates on selected items in mathematics which could be extracted at a level understandable by students who have had calculus. Written in a conversational tone, Lang now presents a collection of those talks as a book. The talks could be given by faculty, but even better, they may be given by students in seminars run by the students themselves. Undergraduates, and even some high school students, will enjoy the talks which cover prime numbers, the abc conjecture, approximation theorems of analysis, Bruhat-Tits spaces, harmonic and symmetric polynomials, and more in a lively and informal style.

Reviews

"This new book of its very prolific author is based on talks delivered by him at European and North American universities. It takes the form of simulated discussions: expositions are combined with students'questions and remarks. The material is chosen to be accessible with minimal prerequisites and of interest to a broad mathematically oriented audience. ... The text is written in a lively light style with an adequate degree of precision. Even for more advanced readers it provides pleasant reading, showing how to popularise mathematics."
EMS Newsletter, Vol. 37, Sept. 2000

Authors and Affiliations

  • Department of Mathematics, Yale University, New Haven, USA

    Serge Lang

Bibliographic Information

  • Book Title: Math Talks for Undergraduates

  • Authors: Serge Lang

  • DOI: https://doi.org/10.1007/978-1-4612-1476-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • Hardcover ISBN: 978-0-387-98749-1Published: 24 June 1999

  • Softcover ISBN: 978-1-4612-7157-4Published: 27 September 2012

  • eBook ISBN: 978-1-4612-1476-2Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: IX, 121

  • Topics: Number Theory, Analysis

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