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Math Talks for Undergraduates / by Serge Lang
版 | 1st ed. 1999. |
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出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 1999 |
本文言語 | 英語 |
大きさ | IX, 121 p : online resource |
著者標目 | *Lang, Serge author SpringerLink (Online service) |
件 名 | LCSH:Number theory LCSH:Mathematical analysis FREE:Number Theory FREE:Analysis |
一般注記 | Prime Numbers -- The abc Conjecture -- Global Integration of Locally Integrable Vector Fields -- Approximation Theorems of Analysi -- Approximation Theorems of Analysis -- Examples: Weierstrass Approximation, Fourier Series, Harmonic Functions on the Disc, Harmonic Functions on the Upper Half Plane -- The Heat Kernel on the Real Line -- The Heat Kernel on the Circle -- Theta Series and the Convolution Product -- The Poisson Summation Formula and Functional Equation of the Zeta Function -- Theta Functions and Complex Doubly Periodic Functions -- Bruhat-Tits Spaces -- The Semi Parallelogram Law -- The Space of Positive Definite Matrices -- The Metric Increasing Property of the Exponential Map -- Historical Notes -- Harmonic and Symmetric Polynomials -- A Positive Definite Scalar Product -- Harmonic Polynomials -- Symmetric Polynomials 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 HTTP:URL=https://doi.org/10.1007/978-1-4612-1476-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781461214762 |
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EB00236882 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA241-247.5 DC23:512.7 |
書誌ID | 4000105311 |
ISBN | 9781461214762 |
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※2017年9月4日以降