Introduction to Algebraic Independence Theory: 1752 (Lecture Notes in Mathematics, 1752)
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Introduction to Algebraic Independence Theory: 1752 (Lecture Notes in Mathematics, 1752)
The book presents groundbreaking results on algebraic independence, showcasing important advancements in transcendence theory.
Introduction to Algebraic Independence Theory: 1752 (Lecture Notes in Mathematics, 1752)
Nº de artículo: 91520917

Introduction to Algebraic Independence Theory: 1752 (Lecture Notes in Mathematics, 1752)

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Nº de artículo: 91520917

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The book presents groundbreaking results on algebraic independence, showcasing important advancements in transcendence theory.
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What Stands Out

Comprehensive Coverage
Offers an extensive exploration of algebraic independence, providing a solid foundation for both beginners and advanced scholars in mathematics, perfect for academic study and reference.
Research Insights
Presents cutting-edge research findings, positioning itself as an essential resource for researchers looking to deepen their understanding of algebraic fields and independence concepts.
Lecture Series Format
Structured as lecture notes, this format facilitates easy comprehension and retention, making complex topics accessible to a diverse audience ranging from students to established mathematicians.

Detalles de producto

Introduction to Algebraic Independence Theory: 1752 (Lecture Notes in Mathematics, 1752)
  • 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?

Suitable For
  • Mathematics Graduate Students

    Ideal for graduate-level students focusing on advanced algebra and seeking a deep understanding of algebraic independence.

  • Research Mathematicians

    Beneficial for researchers working on algebraic structures or theories in number theory and model theory.

  • Academics in Education

    Suitable for educators looking to enhance course materials or lecture notes related to algebraic independence.

Not Suitable For
  • 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 provides a comprehensive exploration of the intricacies of algebraic independence, making it an essential read for those looking to delve into advanced mathematical concepts. Published by Springer on January 18, 2001, this 276-page volume is part of the prestigious Lecture Notes in Mathematics series, designed for both scholars and students who are eager to enhance their knowledge in this specialized field. The book stands out for its detailed analytical approach, making it valuable for researchers in mathematics and related disciplines.

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ventajas

  • Comprehensive exploration of algebraic independence
  • Published by a reputable publisher, Springer
  • Suitable for advanced studies in mathematics
  • Well-structured lecture notes format
  • In-depth analysis and examples provided

Contras

  • Print length may feel extensive for casual readers

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características y beneficios

  • 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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