Geometry of Mathematics
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"Geometry of Mathematics" by Miguel Muñoz Lecanda, Munoz-Lecanda Miguel C, ROMAN-ROY is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
This book sets out to demonstrate, interpret, and analyse the geometrical structures underlying classical mechanics. Through exploring the applications of these structures in the context of dissipative, autonomous, and nonautonomous conservative dynamical systems, a series of insightful exercises are developed in order to both consolidate and clarify the theoretical concepts introduced.Geometry of Mechanics provides an informative exploration of the classic geometrical structures, including symplectic structure, Lagrangian and Hamiltonian formalisms, and the Riemannian structure of systems. Lesser-known frameworks are also investigated, such as the (Skinner-Rusk) unified Lagrangian-Hamiltonion formalism, the geometric proof of Lee Hwa Chung's invariance theorem, and a new geometric formulation of the Hamilton-Jacobi equation, among others. Although the primary focus of this exposition is upon the regular case, singular systems are also considered and explained where applicable.Each chapter concludes with a set of problems, some of which are intended to be solved solely by the application of results presented, while others contain instructive results complementary to those presented in the chapters, complete with comments, suggestions, and recommendations. Interested readers will also find an extensive and state of the art bibliography, including a great number of works produced in recent decades related to all topics explored.
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"Geometry of Mathematics" by Miguel Muñoz Lecanda, Munoz-Lecanda Miguel C, ROMAN-ROY is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Dynamics
Author: Miguel Muñoz Lecanda, Munoz-Lecanda Miguel C, ROMAN-ROY
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
This book sets out to demonstrate, interpret, and analyse the geometrical structures underlying classical mechanics. Through exploring the applications of these structures in the context of dissipative, autonomous, and nonautonomous conservative dynamical systems, a series of insightful exercises are developed in order to both consolidate and clarify the theoretical concepts introduced.Geometry of Mechanics provides an informative exploration of the classic geometrical structures, including symplectic structure, Lagrangian and Hamiltonian formalisms, and the Riemannian structure of systems. Lesser-known frameworks are also investigated, such as the (Skinner-Rusk) unified Lagrangian-Hamiltonion formalism, the geometric proof of Lee Hwa Chung's invariance theorem, and a new geometric formulation of the Hamilton-Jacobi equation, among others. Although the primary focus of this exposition is upon the regular case, singular systems are also considered and explained where applicable.Each chapter concludes with a set of problems, some of which are intended to be solved solely by the application of results presented, while others contain instructive results complementary to those presented in the chapters, complete with comments, suggestions, and recommendations. Interested readers will also find an extensive and state of the art bibliography, including a great number of works produced in recent decades related to all topics explored.
| Author | Miguel Muñoz Lecanda, Munoz-Lecanda Miguel C, ROMAN-ROY |
| Publisher | Wspc (Europe) |
| Published | 2025 |
| ISBN-13 | 9781800616790 |
| Binding | Paperback |
| Language | English |
| Subjects | Mathematics |
| Topic | Dynamics |
Format: Paperback
Language: English
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