{"product_id":"dynamical-systems-essentials-von-yuri-kuznetsov-odo-diekmann-und-wolf-jurgen-beyn","title":"Dynamical Systems Essentials","description":"\n                                \n                \u003cp\u003eThis textbook offers a rigorous yet accessible introduction to the qualitative theory of dynamical systems, focusing on both discrete- and continuous-time systems—those defined by iterated maps and differential equations. With clarity and precision, it provides a conceptual framework and the essential tools needed to describe, analyze, and understand the behavior of real-world systems across the sciences and engineering.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003e \u003c\/p\u003e\n                                \n                \n                \u003cp\u003eDesigned for advanced undergraduates and early graduate students, the book assumes only a foundational background in analysis, linear algebra, and differential equations. It bridges the gap between introductory courses and more advanced treatments by offering a self-contained and balanced approach—one that integrates geometric intuition with analytical rigor.\u003c\/p\u003e\n                                \n                \n                \u003cp\u003e \u003c\/p\u003e\n                                \n                \n                \u003cp\u003eKey features include:\u003c\/p\u003e\n                                \n                \n                \u003cul\u003e\n                                        \n                    \n                    \u003cli\u003eA carefully curated selection of topics essential for applied contexts\u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003eFull, detailed proofs of cornerstone results, including the Poincaré-Bendixson theorem, Lyapunov’s stability criteria, Grobman-Hartman theorem, Center Manifold theorem\u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003eA unified treatment of discrete- and continuous-time systems, with discrete methods often paving the way for their continuous counterparts\u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003eEmploying modern functional analytic techniques to streamline and clarify complex arguments\u003c\/li\u003e\n                                        \n                    \n                    \u003cli\u003eSpecial attention to invariant manifolds, symbolic dynamics, and topological normal forms for codimension-one bifurcations\u003c\/li\u003e\n                                        \n                \n                \u003c\/ul\u003e\n                                \n                \n                \u003cp\u003e \u003c\/p\u003e\n                                \n                \n                \u003cp\u003eWhether for students planning further study in pure or applied mathematics, or for those in disciplines such as physics, biology, or engineering seeking to apply dynamical systems theory in practice, this book offers a concise yet comprehensive entry point. Instructors will appreciate its modular structure and completeness, while students will benefit from its clarity, rigor, and insightful presentation. \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783032040824\"\u003e\u003ch3\u003eAn Application Oriented Introduction to Ideas, Concepts, Examples, Methods, and Results\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Hardcover - 9783032040824","offer_id":58155814551877,"sku":"9783032040824","price":69.54,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/6f758c78-518b-4f2f-b300-114a07de2e92.jpg?v=1780546441","url":"https:\/\/shop.autorenwelt.de\/products\/dynamical-systems-essentials-von-yuri-kuznetsov-odo-diekmann-und-wolf-jurgen-beyn","provider":"Autorenwelt Shop","version":"1.0","type":"link"}