Ordinary Differential Equations: Second Edition
Philip Hartman
yan, 1982 · Classics in Applied Mathematics 38-kitob · SIAM
E-kitob
632
Sahifalar soni
family_home
Yaroqli
info
reportReytinglar va sharhlar tasdiqlanmagan Batafsil
Bu e-kitob haqida
Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the Hartman-Grobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincar?). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables.
Bu e-kitobni baholang
Fikringizni bildiring.
Qayerda o‘qiladi
Smartfonlar va planshetlar
Android va iPad/iPhone uchun mo‘ljallangan Google Play Kitoblar ilovasini o‘rnating. U hisobingiz bilan avtomatik tazrda sinxronlanadi va hatto oflayn rejimda ham kitob o‘qish imkonini beradi.
Noutbuklar va kompyuterlar
Google Play orqali sotib olingan audiokitoblarni brauzer yordamida tinglash mumkin.
Kitob o‘qish uchun mo‘ljallangan qurilmalar
Kitoblarni Kobo e-riderlar kabi e-siyoh qurilmalarida oʻqish uchun faylni yuklab olish va qurilmaga koʻchirish kerak. Fayllarni e-riderlarga koʻchirish haqida batafsil axborotni Yordam markazidan olishingiz mumkin.
