Nevanlinna Theory, Normal Families, and Algebraic Differential Equations - Universitext (Paperback)
  • Nevanlinna Theory, Normal Families, and Algebraic Differential Equations - Universitext (Paperback)
zoom

Nevanlinna Theory, Normal Families, and Algebraic Differential Equations - Universitext (Paperback)

(author)
£54.99
Paperback 235 Pages / Published: 07/08/2017
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations.

Following a comprehensive treatment of Nevanlinna's theory of value distribution, the author presents advances made since Hayman's work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot-Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman-Pang method of re-scaling to algebraic differential equations, and presents the Painleve-Yosida theorem, which relates Painleve transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions.

Aimed at graduate students interested in recent developments in the field and researchers working on related problems, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.

Publisher: Springer International Publishing AG
ISBN: 9783319597997
Number of pages: 235
Weight: 3927 g
Dimensions: 235 x 155 mm
Edition: 1st ed. 2017


MEDIA REVIEWS
"The book by Steinmetz is clearly written, including a substantial number of exercises related to and complementing the actual text." (Ilpo Laine, Mathematical Reviews, June, 2018)

"The list of references contains more than 200 items including very recent results of the author and other. ... I recommend this book to any person who is interested in complex analysis, in particular, in value distribution theory and complex differential equations." (Igor Chyzhykov, zbMATH, 2018)

You may also be interested in...

Thomas' Calculus in SI Units
Added to basket
Schaums Outline of Tensor Calculus
Added to basket
How to Think About Analysis
Added to basket
Div, Grad, Curl, and All That
Added to basket
Differential Equations Demystified
Added to basket
An Introduction to Manifolds
Added to basket
A Brief Guide to the Great Equations
Added to basket
Calculus DeMYSTiFieD, Second Edition
Added to basket
Schaum's Outline of Calculus
Added to basket
The Calculus Lifesaver
Added to basket
Calculus Know-It-ALL
Added to basket
Fundamentals of Mathematical Analysis
Added to basket

Please sign in to write a review

Your review has been submitted successfully.