rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    non sort: The
    title: Lambert W Function
    sub title: Its Generalizations and Applications
  title info:
    title: MATHnetBASE
  name:
    name part: Mezõ, István.
    role:
      role term: creator
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: xx
    date issued: 2022
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (272 pages).
  abstract: This book is the very first one in the English language entirely dedicated to the Lambert W function, its generalizations, and its applications. One goal is to promote future research on the topic. The book contains all the information one needs when trying to find a result. The most important formulas and results are framed. The Lambert W function is a multi-valued inverse function with plenty of applications in areas like molecular physics, relativity theory, fuel consumption models, plasma physics, analysis of epidemics, bacterial growth models, delay differential equations, fluid mechanics, game theory, statistics, study of magnetic materials, and so on. The first part of the book gives a full treatise of the W function from theoretical point of view. The second part presents generalizations of this function which have been introduced by the need of applications where the classical W function is insufficient. The third part presents a large number of applications from physics, biology, game theory, bacterial cell growth models, and so on. The second part presents the generalized Lambert functions based on the tools we had developed in the first part. In the third part familiarity with Newtonian physics will be useful. The text is written to be accessible for everyone with only basic knowledge on calculus and complex numbers. Additional features include the Further Notes sections offering interesting research problems and information for further studies. Mathematica codes are included. The Lambert function is arguably the simplest non-elementary transcendental function out of the standard set of sin, cos, log, et cetera, therefore students who would like to deepen their understanding of real and complex analysis can see a new "almost elementary" function on which they can practice their knowledge.
  table of contents: Part I: The classical Lambert W function1.Basic Properties of W2.The Branch Structure of the Lambert W Function3.Unwinding Number and Branch Differences4.Numerical ApproximationsPart II: Generalized Lambert functions5.Generalizations of the Lambert function6.The r-Lambert FunctionPart III: Applications7.Physical applications8.Biology, Ecology, Probability9.Mathematical applications
  target audience: adult
  subject:
    topic: Functions of complex variables
  subject:
    topic: MATHEMATICS / Combinatorics
  subject:
    topic: MATHEMATICS / Mathematical Analysis
  classification: QA351
  classification: 515.5
  related item:
    title info:
      title: Discrete Mathematics and Its Applications
  identifier: 9781003168102
  identifier: 1003168108
  identifier: 9781000551297
  identifier: 1000551296
  identifier: 9781000551242
  identifier: 1000551245
  identifier: 9780367766832
  identifier: 9781032223391
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCoLC-P
    record creation date: 211007
    record change date: 20220613175916.6
    record identifier: in00004581496
    language of cataloging:
      language term: eng