For many years, Serge Lang has given talks on selected items in mathematics which could be extracted at a level understandable by those who have had calculus. Written in a conversational tone, Lang now presents a collection of those talks as a book covering such topics as: prime numbers, the abc conjecture, approximation theorems of analysis, Bruhat-Tits spaces, and harmonic and symmetric polynomials. Each talk is written in a lively and informal style meant to engage any reader looking for further insight into mathematics.
Math Talks for Undergraduates
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Editorial Reviews
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"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
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1 of 3 people found the following review helpful:
5.0 out of 5 stars
Great problems accessible to undergradate math majors,
By A Customer
This review is from: Math Talks for Undergraduates (Hardcover)
If you don't have time to participate in math seminars, this book would be a great place to broaden your undergraduate math experience! It contains the talks that Dr. Lang gave over the past decades. If you don't want to go to seminars or talks, you should definitely read it. Many interesting problems and some personal profiles!!!
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Inside This Book
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First Sentence:
I don't know any subject other than number theory where one can give a talk on mathematics centered around major unsolved problems, but understandable with almost no background in mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
semi parallelogram law, locally integrable vector field, general approximation theorem, abc conjecture, definite scalar product, many twin primes, oriented counterclockwise, theta series, symmetric polynomials, prime number theorem, heat kernel, harmonic polynomials Key Phrases - Capitalized Phrases (CAPs): (learn more)
Academic Press, Cambridge University Press, Undergraduate Algebra New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
I don't know any subject other than number theory where one can give a talk on mathematics centered around major unsolved problems, but understandable with almost no background in mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
semi parallelogram law, locally integrable vector field, general approximation theorem, abc conjecture, definite scalar product, many twin primes, oriented counterclockwise, theta series, symmetric polynomials, prime number theorem, heat kernel, harmonic polynomials Key Phrases - Capitalized Phrases (CAPs): (learn more)
Academic Press, Cambridge University Press, Undergraduate Algebra New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
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8
books
cite this book:
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- Complex Analysis (Graduate Texts in Mathematics) by Serge Lang on 4 pages
- Undergraduate Analysis (Undergraduate Texts in Mathematics) by Serge Lang in Front Matter, page 48, and page 78
- Undergraduate Algebra (Undergraduate Texts in Mathematics) by Serge Lang in Front Matter, page 31, and page 121
- Elliptic Functions (Graduate Texts in Mathematics) by Serge Lang in Front Matter, and page 78
- Calculus of Several Variables (Undergraduate Texts in Mathematics) by Serge Lang in Front Matter, and page 48
See all 30 books this book cites
- Undergraduate Algebra (Undergraduate Texts in Mathematics) by Serge Lang in Front Matter, page 176, and Back Matter
- Algebra by Serge Lang in Front Matter, and Back Matter
- Introduction to Linear Algebra (Undergraduate Texts in Mathematics) 2nd edition by Serge Lang in Front Matter
- A First Course in Calculus (Undergraduate Texts in Mathematics) by Serge Lang in Front Matter
- Introduction to Differentiable Manifolds by Serge Lang in Front Matter
See all 8 books citing this book
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