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 Methods
    sub title: For Students of Physics and Related Fields
  name:
    name part: Hassani, Sadri.
    role:
      role term: creator
    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: XXIII, 832 p. online resource.
  abstract: Intended to follow the usual introductory physics courses, this book has the unique feature of addressing the mathematical needs of sophomores and juniors in physics, engineering and other related fields. Many original, lucid, and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts help guide the student through the material. Beginning with reviews of vector algebra and differential and integral calculus, the book continues with infinite series, vector analysis, complex algebra and analysis, ordinary and partial differential equations. Discussions of numerical analysis, nonlinear dynamics and chaos, and the Dirac delta function provide an introduction to modern topics in mathematical physics. This new edition has been made more user-friendly through organization into convenient, shorter chapters. Also, it includes an entirely new section on Probability and plenty of new material on tensors and integral transforms. Some praise for the previous edition: "The book has many strengths. For example: Each chapter starts with a preamble that puts the chapters in context. Often, the author uses physical examples to motivate definitions, illustrate relationships, or culminate the development of particular mathematical strands. The use of Maxwell's equations to cap the presentation of vector calculus, a discussion that includes some tidbits about what led Maxwell to the displacement current, is a particularly enjoyable example. Historical touches like this are not isolated cases; the book includes a large number of notes on people and ideas, subtly reminding the student that science and mathematics are continuing and fascinating human activities." --Physics Today "Very well written (i.e., extremely readable), very well targeted (mainly to an average student of physics at a point of just leaving his/her sophomore level) and very well concentrated (to an author's apparently beloved subject of PDE's with applic…
  table of contents: Coordinates and Calculus -- Coordinate Systems and Vectors -- Differentiation -- Integration: Formalism -- Integration: Applications -- Dirac Delta Function -- Algebra of Vectors -- Planar and Spatial Vectors -- Finite-Dimensional Vector Spaces -- Vectors in Relativity -- Infinite Series -- Infinite Series -- Application of Common Series -- Integrals and Series as Functions -- Analysis of Vectors -- Vectors and Derivatives -- Flux and Divergence -- Line Integral and Curl -- Applied Vector Analysis -- Curvilinear Vector Analysis -- Tensor Analysis -- Complex Analysis -- Complex Arithmetic -- Complex Derivative and Integral -- Complex Series -- Calculus of Residues -- Differential Equations -- From PDEs to ODEs -- First-Order Differential Equations -- Second-Order Linear Differential Equations -- Laplace’s Equation: Cartesian Coordinates -- Laplace’s Equation: Spherical Coordinates -- Laplace’s Equation: Cylindrical Coordinates -- Other PDEs of Mathematical Physics -- Special Topics -- Integral Transforms -- Calculus of Variations -- Nonlinear Dynamics and Chaos -- Probability Theory.
  note: by Sadri Hassani.
  subject:
    topic: Physics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Analysis
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QC5.53
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780387095042
  identifier: http://dx.doi.org/10.1007/978-0-387-09504-2
  record info:
    record creation date: 100301
    record change date: 20151204153435.0
    record identifier: 978-0-387-09504-2