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: Differential Equations
    sub title: A Primer for Scientists and Engineers
  name:
    name part: Constanda, Christian.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    edition: 2nd ed. 2017.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 297 p. 40 illus. online resource.
  abstract: This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 1000 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 246 worked examples, the author provides the commands in Mathematica® for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference. Other Springer publications by Christian Constanda: Dude, Can you Count? ISBN: 978-1-84882-538-3; (with D. Doty and W. Hamill) Boundary Integral Equation Methods and Numerical Solutions ISBN: 978-3-319-26307-6; Mathematical Methods for Elastic Plates ISBN: 978-1-4471-6433-3; (with G.R. Thomson) Stationary Oscillations of Elastic Plates ISBN: 978-0-8176-8340-8. Chr…
  table of contents: 1. Introduction -- 2. First Order Equations -- 3. Mathematical Models with First-Order Equations -- 4. Linear Second-Order Equations -- 4. Higher-Order Equations -- 5. Mathematical Models with Second-Order Equations -- 6. Higher-Order Linear Equations -- 7. Systems of Differential Equations -- 8. The Laplace Transformation -- 9. Series Solutions -- 10. Numerical Methods -- A. Algebra Techniques -- B. Calculus Techniques -- C. Table of Laplace Transforms -- D. The Greek Alphabet -- Further Reading -- Answers to Odd-Numbered Exercises -- Index.
  note: by Christian Constanda.
  subject:
    topic: Mathematics
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Mathematics
  subject:
    topic: Difference and Functional Equations
  classification: QA431
  classification: 515.625
  classification: 515.75
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Undergraduate Texts in Mathematics and Technology
  identifier: 9783319502243
  identifier: http://dx.doi.org/10.1007/978-3-319-50224-3
  record info:
    record creation date: 170315
    record change date: 20170315075249.0
    record identifier: 978-3-319-50224-3