Introduction to Difference Equations

Inbunden, Engelska, 2005

AvSaber Elaydi

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This book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more applications. The author has also updated the contents by adding a new chapter on Higher Order Scalar Difference Equations; recent results on local and global stability of one-dimensional maps; a new section on the various notions of asymptoticity of solutions; a detailed proof of Levin-May Theorem and the latest results on the LPA flour-beetle model.

Produktinformation

Utgivningsdatum2005-03-29
Mått163 x 241 x 31 mm
Vikt894 g
FormatInbunden
SpråkEngelska
SerieUndergraduate Texts in Mathematics
Antal sidor540
Upplaga3
FörlagSpringer-Verlag New York Inc.
ISBN9780387230597

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Dynamics of First-Order Difference Equations.- Linear Difference Equations of Higher Order.- Systems of Linear Difference Equations.- Stability Theory.- Higher-Order Scalar Difference Equations.- The Z-Transform Method and Volterra Difference Equations.- Oscillation Theory.- Asymptotic Behavior of Difference Equations.- Applications to Continued Fractions and Orthogonal Polynomials.- Control Theory.

Second Edition S.N. Elaydi An Introduction to Difference Equations "The presentation is clear. The book provides numerous interesting applications in various domains (life science, neural networks, feedback control, trade models, heat transfers, etc.) and well-selected exercises with solutions."-AMERICAN MATHEMATICAL SOCIETY From the reviews of the third edition: "This is the third edition of a well-established textbook which gives a solid introduction to difference equations suitable for undergraduate students. It covers most aspects from classical results to modern topics. In comparison to the previous edition, more proofs, more detailed explanations, and more applications were added. ... Thanks to the many additions, the book stays recent and valuable resource for students and teachers." (G. Teschl, Internationale Mathematische Nachrichten, Issue 202, 2006) "This book ... introduces the concept of difference equations along with several tools, as well as many example applications. ... The book ... is very enjoyable and smooth to read. ... This is an excellent book to keep. It is very good for undergraduate students ... . For fresh graduate students, it is good to read ... and to keep for future reference. ... The book in general is very well written, well organized, contains tons of examples, exercises (with brief solutions) and various applications." (Adel El-Atawy, SIGACT News, Vol. 40 (3), 2009)