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Introduction to Algebraic Independence Theory: 1752 (Lecture Notes in Mathematics, 1752)
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IDR 1850511
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The book presents groundbreaking results on algebraic independence, showcasing important advancements in transcendence theory.
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- In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e^(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject.
| Publisher | Springer |
| Publication date | 18 Jan. 2001 |
| Edition | 2001st |
| Language | English |
| Print length | 276 pages |
| ISBN-10 | 3540414967 |
| ISBN-13 | 978-3540414964 |
| Item weight | 386 g |
| Dimensions | 15.49 x 1.6 x 23.29 cm |
Who Should Buy?
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Mathematics Graduate Students
Ideal for graduate-level students focusing on advanced algebra and seeking a deep understanding of algebraic independence.
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Research Mathematicians
Beneficial for researchers working on algebraic structures or theories in number theory and model theory.
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Academics in Education
Suitable for educators looking to enhance course materials or lecture notes related to algebraic independence.
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Casual Learners
Not suitable for beginners or casual learners without a strong foundation in algebra and mathematical theories.
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General Medical Issues Editorial Review
Introduction To Algebraic Independence Theory: 1752 Lecture Notes In Mathematics 1752 offers an insightful exploration into the field, penned by Springer, and published on 18 Jan. 2001. This edition comprises 276 pages of meticulously organized content in English, making it accessible to a wide audience. With its detailed examination of algebraic structures, this work serves both as a reference and a learning tool for those interested in advanced mathematics. The book's format and size, at 15.49 x 1.6 x 23.29 cm, make it a practical companion for students and professionals alike, as it fits comfortably on standard bookshelves and in bags for portability, thus facilitating continuous study and research in algebraic independence.
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Pro
- In-depth exploration of algebraic independence
- Well-structured for easy navigation
- Suitable for both students and professionals
- Portable size for convenient reading
- Published by a reputable publisher
Kontra
- Some readers may find it complex for beginners
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IDR 1850511
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Fitur & Manfaat
- Explore significant progress in transcendence theory over the last five years.
- Learn about new approaches to arithmetic properties of modular forms and theta-functions.
- Discover impressive results like the solution to the Mahler-Manin problem.
- Understand the algebraic independence of key numbers like pi and e^(pi).
- Benefit from a detailed exposition of methods developed over 25 years.
- Explore the strong influence of commutative algebra and algebraic geometry.
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