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Algebraic Independence
ANG 87
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Algebraic Independence provides clear and lucid proofs for key results in Transcendental Number Theory.
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Product Details
- Algebraic Independence is an expanded version of the notes of a course of lectures given by Professor Yuri V. Nesterenko at TIFR. It deals with several important results and methods in Transcendental Number Theory. The main results which are proved in detail are the classical result of Lindemann-Weierstrass, Siegel's theory of E-functions and Shidlovskii's theorem on the algebraic independence of the values of the E-functions, the Gelfond-Schneider Theorem using interpolation determinants and the famous result of the author in 1996 on the algebraic independence of the values of the Ramanujan functions. The book is self-contained and the proofs are clear and lucid. Brief history of the topics is also given.
| Publisher | Narosa Publishing House |
| Publication date | 22 July 2009 |
| Language | English |
| Print length | 170 pages |
| ISBN-10 | 8173199841 |
| ISBN-13 | 978-8173199844 |
| Item weight | 295 g |
| Dimensions | 15.88 x 1.27 x 25.4 cm |
Who Should Buy?
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Mathematics Students
Ideal for undergraduate and graduate students exploring advanced algebraic concepts and their applications in various mathematical fields.
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Academic Researchers
Useful for researchers focusing on number theory, algebra, or related fields who require in-depth knowledge of algebraic independence.
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Educators
Beneficial for teachers looking to enhance their curriculum with challenging topics related to algebraic structures and independence.
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Casual Learners
Not suitable for individuals seeking basic math knowledge or casual understanding without pursuing advanced topics.
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Higher Education Editorial Review
Algebraic Independence is a scholarly work published by Narosa Publishing House on 22 July 2009, exploring complex mathematical concepts within its 170 pages. The book is written in English and is a valuable resource for those delving into algebraic structures. It presents foundational theories with clarity, appealing to both students and researchers in mathematics. With a weight of 295 g and dimensions of 15.88 x 1.27 x 25.4 cm, it is a convenient size for study and reference, making it easy to handle during rigorous academic discussions.
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Pros
- Concise and focused content on algebraic concepts
- Published by a reputable publishing house
- Well-structured for ease of understanding
- Appropriate for academic and research purposes
- Portable size for easy handling
Cons
- May require supplementary materials for comprehensive understanding
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ANG 87
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Features & Benefits
- Expanded course notes from Professor Yuri V. Nesterenko.
- Covers crucial results in Transcendental Number Theory.
- Includes classical results like Lindemann-Weierstrass and Gelfond-Schneider Theorem.
- Features clear and detailed proofs for better understanding.
- Self-contained with a brief history of essential topics.
- Perfect for advanced learners seeking robust mathematical insights.
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