عنوان

Differential equations :

شابک

1470454386

شابک

9781470454388

شابک اشتباه

1470447975

شابک اشتباه

9781470447977

عنوان اصلي

Differential equations :

نام عام مواد

[Book]

ساير اطلاعات عنواني

techniques, theory, and applications /

نام نخستين پديدآور

Barbara D. MacCluer, Paul S. Bourdon, Thomas L. Kriete

محل نشرو پخش و غیره

Providence, Rhode Island :

نام ناشر، پخش کننده و غيره

American Mathematical Society,

تاریخ نشرو بخش و غیره

[2019]

تاریخ نشرو بخش و غیره

©2019

نام خاص و کميت اثر

1 online resource (xiii, 874 pages)

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Introduction -- First-order equations -- Numerical methods -- Higher-order linear homogeneous equations -- Higher-order linear nonhomogeneous equations -- Laplace transforms -- Power series solutions -- Linear systems I -- Linear systems II -- Nonlinear systems -- Partial differential equations and Fourier series

بدون عنوان

0

متن يادداشت

Differential Equations: Techniques, Theory, and Applications is designed for a modern first course in differential equations either one or two semesters in length. The organization of the book interweaves the three components in the subtitle, with each building on and supporting the others. Techniques include not just computational methods for producing solutions to differential equations, but also qualitative methods for extracting conceptual information about differential equations and the systems modeled by them. Theory is developed as a means of organizing, understanding, and codifying general principles. Applications show the usefulness of the subject as a whole and heighten interest in both solution techniques and theory. Formal proofs are included in cases where they enhance core understanding; otherwise, they are replaced by informal justifications containing key ideas of a proof in a more conversational format. Applications are drawn from the wide variety of fields: those in physical science and engineering are prominent, of course, but models from biology, medicine, ecology, economics, and sports are also featured. The 1,400+ exercises are especially compelling. They range from routine calculations to large-scale projects. The more difficult problems, both theoretical and applied, are typically presented in manageable steps. The hundreds of meticulously detailed modeling problems were deliberately designed along pedagogical principles found especially effective in the MAA study Characteristics of Successful Calculus Programs, namely, that asking students to work problems that require them to grapple with concepts (or even proofs) and do modeling activities is key to successful student experiences and retention in STEM programs. The exposition itself is exceptionally readable, rigorous yet conversational. Students will find it inviting and approachable. The text supports many different styles of pedagogy from traditional lecture to a flipped classroom model. The availability of a computer algebra system is not assumed, but there are many opportunities to incorporate the use of one

عنوان

Differential equations.

شماره استاندارد بين المللي کتاب و موسيقي

9781470447977

موضوع مستند نشده

Differential equations.

موضوع مستند نشده

Differential equations.

موضوع مستند نشده

Mathematics education -- Mathematical modeling, applications of mathematics -- Modeling and interdisciplinarity.

موضوع مستند نشده

Partial differential equations -- Instructional exposition (textbooks, tutorial papers, etc.).

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

MacCluer, Barbara D.

مستند نام اشخاص تاييد نشده

Bourdon, Paul

مستند نام اشخاص تاييد نشده

Kriete, Thomas L.,1942-

تاريخ عمليات

20200823025848.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y