Math Talks for Undergraduates / Edition 1

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $13.00
Usually ships in 1-2 business days
(Save 83%)
Other sellers (Hardcover)
  • All (12) from $13.00   
  • New (9) from $43.22   
  • Used (3) from $13.00   


For many years Serge Lang has given talks to undergraduates on selecte d items in mathematics which could be extracted at a level understanda ble by students who have had calculus. Written in a conversational to ne, 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 stud ents in seminars run by the students themselves. Undergraduates, and e ven some high school students, will enjoy the talks which cover prime numbers, the abc conjecture, approximation theorems of analysis, the s emi-parallelogram law and Bruhat-Tits spaces, harmonic and symmetric p olynomials, and more in a lively and informal style.

"...a collection of the author's talks on selected topics in mathematics for students who have had calculus...covers prime numbers, the abc conjecture, approximation theorems of analysis, harmonic & symmetric polynomials & more.

Read More Show Less

Editorial Reviews

From the Publisher
"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
Read More Show Less

Product Details

  • ISBN-13: 9780387987491
  • Publisher: Springer New York
  • Publication date: 6/24/1999
  • Edition description: 1999
  • Edition number: 1
  • Pages: 121
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.38 (d)

Table of Contents

Prime Numbers 1
The abc Conjecture 18
Global Integration of Locally Integrable Vector Fields 32
Approximation Theorems of Analysis 49
Approximation Theorems of Analysis 49
Examples: Weierstrass Approximation, Fourier Series, Harmonic Functions on the Disc, Harmonic Functions on the Upper Half Plane 53
The Heat Kernel on the Real Line 62
The Heat Kernel on the Circle 65
Theta Series and the Convolution Product 70
The Poisson Summation Formula and Functional Equation of the Zeta Function 72
Theta Functions and Complex Doubly Periodic Functions 75
Bruhat-Tits Spaces 79
The Semi Parallelogram Law 80
The Space of Positive Definite Matrices 85
The Metric Increasing Property of the Exponential Map 93
Historical Notes 97
Harmonic and Symmetric Polynomials 101
A Positive Definite Scalar Product 103
Harmonic Polynomials 105
Symmetric Polynomials 107
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)