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:
    title: Mathematical Analysis
    sub title: An Introduction to Functions of Several Variables
  name:
    name part: Giaquinta, Mariano.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Modica, Giuseppe.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 348 p. 105 illus. online resource.
  abstract: This text introduces basic ideas, structures, and results of differential and integral calculus for functions of several variables. The presentation is engaging and motivates the reader with numerous examples, remarks, illustrations, and exercises. Mathematical Analysis: An Introduction to Functions of Several Variables may be used in the classroom setting for advanced undergraduate and graduate students or as a self-study. It is also a valuable reference for researchers in most mathematical disciplines. An appendix highlights mathematicians and scientists who have made important contributions in the development of theories in the subject. Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, Mathematical Analysis: Approximation and Discrete Processes, and Mathematical Analysis: Linear and Metric Structures and Continuity, all of which provide the reader with a strong foundation in modern-day analysis. Reviews of previous volumes in Mathematical Analysis: The presentation of the theory is clearly arranged, all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requirements. . . . This book is excellently suitable for students in mathematics, physics, engineering, computer science and all students of technological and scientific faculties. —Journal of Analysis and its Applications The exposition requires only a sound knowledge of calculus and the functions of one variable. A key feature this lively yet rigorous and systematic treatment is the historical accounts of ideas and methods of the subject. Ideas in mathematics develop in cultural, historical and economical contexts, thus the authors made brief accounts of those aspects and used a large number of beautiful illustrations. —Zentralblatt MATH.
  table of contents: Differential Calculus -- Integral Calculus -- Curves and Differential Forms -- Holomorphic Functions -- Surfaces and Level Sets -- Systems of Ordinary Differential Equations.
  note: by Mariano Giaquinta, Giuseppe Modica.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Measure theory
  subject:
    topic: Differential equations
  subject:
    topic: Functions of complex variables
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Measure and Integration
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Several Complex Variables and Analytic Spaces
  subject:
    topic: Ordinary Differential Equations
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780817646127
  identifier: http://dx.doi.org/10.1007/978-0-8176-4612-7
  record info:
    record creation date: 100725
    record change date: 20151204174714.0
    record identifier: 978-0-8176-4612-7