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Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction (Student Mathematical Library, 69, Band 69) - Softcover
Inhaltsangabe
This textbook is for advanced undergraduate or beginning graduate course, says Levi, and it is not unreasonable to cover two to four of the eight chapters in one semester, so it can be used for more than one course. It covers one degree of freedom, more degrees of freedom, rigid body motion, variational principles of mechanics, classical problems of calculus of variations, the conditions of Legendre and Jacobi for a minimum, optimal control, and the heuristic foundations of Hamiltonian mechanics. He assumes readers have been exposed to beginning courses in physics, in vector calculus, and in basic linear algebra, but does review key concepts when they arise. Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)
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Über die Autorin bzw. den Autor
Mark Levi, Pennsylvania State University, University Park, PA, USA
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Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction
Verlag:
American Mathematical Society, 2014
ISBN 10: 0821891383
ISBN 13: 9780821891384
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Paperback. Zustand: Very Good. This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the ?tennis racket paradox''; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last couple of chapters, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book. This book is published in cooperation with Mathematics Advanced Study Semesters. Bestandsnummer des Verkäufers 00110024654
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Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction
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American Mathematical Society, 2014
ISBN 10: 0821891383
ISBN 13: 9780821891384
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Paperback. Zustand: Very Good. This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the ?tennis racket paradox''; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last couple of chapters, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book. This book is published in cooperation with Mathematics Advanced Study Semesters. Bestandsnummer des Verkäufers CIN0821891383VG
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Classical Mechanics with Calculus of Variations and Optimal Control
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Zustand: As New. : Este libro presenta de manera intuitiva muchos temas de mecánica clásica y áreas relacionadas de la teoría de control y el cálculo de variaciones. Todos los temas se tratan con cero tolerancia a las definiciones poco claras y a las pruebas que dejan al lector en la oscuridad. Se ofrece una derivación extremadamente corta de la elipticidad de las órbitas planetarias, una explicación heurística del efecto giroscópico y una equivalencia reveladora entre la dinámica de una partícula y la estática de un resorte. El libro es adecuado para cursos desde el nivel de pregrado hasta el de posgrado inicial, y para una audiencia mixta de estudiantes de matemáticas, física e ingeniería. EAN: 9780821891384 Tipo: Libros Categoría: Ciencias|Educación Título: Classical Mechanics with Calculus of Variations and Optimal Control Autor: Mark Levi Idioma: en Páginas: 299. Bestandsnummer des Verkäufers Happ-2026-09-28-2135bbdb
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Classical Mechanics With Calculus of Variations and Optimal Control : An Intuitive Introduction
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Classical Mechanics with Calculus of Variations - An Intuitive Introduction (eng)
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Classical Mechanics With Calculus of Variations and Optimal Control : An Intuitive Introduction
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American Mathematical Society, 2014
ISBN 10: 0821891383
ISBN 13: 9780821891384
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Classical Mechanics with Calculus of Variations and Optimal Control
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Paperback. Zustand: New. This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the "tennis racket paradox''; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last couple of chapters, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book. This book is published in cooperation with Mathematics Advanced Study Semesters. Bestandsnummer des Verkäufers LU-9780821891384
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Classical Mechanics With Calculus of Variations and Optimal Control: An Intuitive Introduction (Student Mathematical Library)
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ISBN 13: 9780821891384
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Classical Mechanics With Calculus of Variations and Optimal Control: An Intuitive Introduction (Student Mathematical Library)
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American Mathematical Society, 2014
ISBN 10: 0821891383
ISBN 13: 9780821891384
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