9783032040824 - dynamical systems essentials: an application oriented introduction to ideas, concepts, examples, methods, and results (texts in applied mathematics, 83) von kuznetsov, yuri; diekmann, odo; beyn, wolf-jürgen (12 Ergebnisse)

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Hardcover. Zustand: new. Hardcover. This textbook offers a rigorous yet accessible introduction to the qualitative theory of dynamical systems, focusing on both discrete- and continuous-time systemsthose defined by iterated maps and differential equations. With clarity and precision, it provides a conceptual framework and the es…sential tools needed to describe, analyze, and understand the behavior of real-world systems across the sciences and engineering. Designed 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 approachone that integrates geometric intuition with analytical rigor. Key features include:A carefully curated selection of topics essential for applied contextsFull, detailed proofs of cornerstone results, including the Poincare-Bendixson theorem, Lyapunovs stability criteria, Grobman-Hartman theorem, Center Manifold theoremA unified treatment of discrete- and continuous-time systems, with discrete methods often paving the way for their continuous counterpartsEmploying modern functional analytic techniques to streamline and clarify complex argumentsSpecial attention to invariant manifolds, symbolic dynamics, and topological normal forms for codimension-one bifurcations Whether 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Hardcover. Zustand: new. Hardcover. This textbook offers a rigorous yet accessible introduction to the qualitative theory of dynamical systems, focusing on both discrete- and continuous-time systemsthose defined by iterated maps and differential equations. With clarity and precision, it provides a conceptual framework and the es…sential tools needed to describe, analyze, and understand the behavior of real-world systems across the sciences and engineering. Designed 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 approachone that integrates geometric intuition with analytical rigor. Key features include:A carefully curated selection of topics essential for applied contextsFull, detailed proofs of cornerstone results, including the Poincare-Bendixson theorem, Lyapunovs stability criteria, Grobman-Hartman theorem, Center Manifold theoremA unified treatment of discrete- and continuous-time systems, with discrete methods often paving the way for their continuous counterpartsEmploying modern functional analytic techniques to streamline and clarify complex argumentsSpecial attention to invariant manifolds, symbolic dynamics, and topological normal forms for codimension-one bifurcations Whether 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This 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 prov…ides a conceptual framework and the essential tools needed to describe, analyze, and understand the behavior of real-world systems across the sciences and engineering.Designed 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.Key features include:A carefully curated selection of topics essential for applied contextsFull, detailed proofs of cornerstone results, including the Poincaré-Bendixson theorem, Lyapunov s stability criteria, Grobman-Hartman theorem, Center Manifold theoremA unified treatment of discrete- and continuous-time systems, with discrete methods often paving the way for their continuous counterpartsEmploying modern functional analytic techniques to streamline and clarify complex argumentsSpecial attention to invariant manifolds, symbolic dynamics, and topological normal forms for codimension-one bifurcationsWhether 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.

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Hardcover. Zustand: new. Hardcover. This textbook offers a rigorous yet accessible introduction to the qualitative theory of dynamical systems, focusing on both discrete- and continuous-time systemsthose defined by iterated maps and differential equations. With clarity and precision, it provides a conceptual framework and the es…sential tools needed to describe, analyze, and understand the behavior of real-world systems across the sciences and engineering. Designed 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 approachone that integrates geometric intuition with analytical rigor. Key features include:A carefully curated selection of topics essential for applied contextsFull, detailed proofs of cornerstone results, including the Poincare-Bendixson theorem, Lyapunovs stability criteria, Grobman-Hartman theorem, Center Manifold theoremA unified treatment of discrete- and continuous-time systems, with discrete methods often paving the way for their continuous counterpartsEmploying modern functional analytic techniques to streamline and clarify complex argumentsSpecial attention to invariant manifolds, symbolic dynamics, and topological normal forms for codimension-one bifurcations Whether 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This 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 pr…ecision, 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.Designed 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.Key features include:A carefully curated selection of topics essential for applied contextsFull, detailed proofs of cornerstone results, including the Poincaré-Bendixson theorem, Lyapunov s stability criteria, Grobman-Hartman theorem, Center Manifold theoremA unified treatment of discrete- and continuous-time systems, with discrete methods often paving the way for their continuous counterpartsEmploying modern functional analytic techniques to streamline and clarify complex argumentsSpecial attention to invariant manifolds, symbolic dynamics, and topological normal forms for codimension-one bifurcationsWhether 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. 391 pp. Englisch.

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Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This textbook offers a rigorous yet accessible introduction to the qualitative theory of dynamical systems, focusing on both discrete- and continuous-time systemsthose defined by iterated maps and differential equations. With clarity and precisi…on, 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. Designed 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 approachone that integrates geometric intuition with analytical rigor. Key features include:- A carefully curated selection of topics essential for applied contexts- Full, detailed proofs of cornerstone results, including the Poincaré-Bendixson theorem, Lyapunov's stability criteria, Grobman-Hartman theorem, Center Manifold theorem- A unified treatment of discrete- and continuous-time systems, with discrete methods often paving the way for their continuous counterparts- Employing modern functional analytic techniques to streamline and clarify complex arguments- Special attention to invariant manifolds, symbolic dynamics, and topological normal forms for codimension-one bifurcations Whether 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.Springer Nature Customer Service Center GmbH, Europaplatz 3, 69115 Heidelberg 412 pp. Englisch.