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Mecánica Hamiltoniana Volumen 01: Fundamentos de la Mecánica Hamiltoniana by Helbert Justo Luque Zevallos

Mecánica Hamiltoniana Volumen 01: Fundamentos de la Mecánica Hamiltoniana

by Helbert Justo Luque Zevallos
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Book cover type: Paperback
  • ISBN13: 9798242173149
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Publication Date:
  • Pages: 592
  • Original Price: GBP 21.99
  • Language: Spanish
  • Edition: N/A
  • Item Weight: 1352 grams
  • BISAC Subject(s): Physics / Mathematical & Computational

Dominas las bases pero buscas resolver sistemas de alta complejidad?
Lleva la mec�nica anal�tica al l�mite y conquista los pilares geom�tricos de la f�sica te�rica moderna.
Como investigador apasionado, he dise�ado este primer volumen sobre Mec�nica Hamiltoniana desde la trinchera del rigor para ser el mentor que no salta pasos l�gicos. En la serie CORPUS MECHANICA, mi enfoque prioriza la claridad absoluta y la profundidad conceptual donde otros textos acad�micos suelen dejar vac�os o asumen conocimientos que rara vez se explican paso a paso.
En este libro encontrar�s:

  • Transformaci�n de Legendre: El puente matem�tico riguroso desde el formalismo lagrangiano, desarrollado mediante an�lisis convexo y condiciones precisas de invertibilidad (matriz Hessiana).
  • Ecuaciones de Hamilton: Domina la derivaci�n de las ecuaciones can�nicas y descubre la simetr�a perfecta entre coordenadas y momentos.
  • Geometr�a del Espacio de Fases: Visualiza la din�mica en variedades de $2n$ dimensiones y comprende el flujo hamiltoniano como nunca antes. 66
  • Teorema de Liouville: Demostraciones magistrales sobre la conservaci�n del volumen en el espacio de fases, fundamento cr�tico para la mec�nica estad�stica.
  • Estructura Simpl�ctica: Explora la geometr�a profunda que subyace a la f�sica te�rica, desde formas diferenciales hasta simplectomorfismos.
  • Par�ntesis de Poisson: Domina el �lgebra de Lie de los observables cl�sicos, el eslab�n definitivo hacia la Cuantizaci�n Can�nica y la Mec�nica Cu�ntica.
  • Constantes de Movimiento: Criterios de conservaci�n, involuci�n e introducci�n a la integrabilidad total (Teorema de Liouville-Arnold).
  • Casos de Estudio: Desde el oscilador arm�nico y el p�ndulo hasta part�culas en campos electromagn�ticos con invariancia gauge.
Con 148 ejemplos trabajados exhaustivamente y 421 ejercicios propuestos con soluciones detalladas, mi metodolog�a no cambia: asimilas el concepto mediante 72 definiciones formales y 98 teoremas demostrados, ves su aplicaci�n en problemas reales y resuelves el desaf�o t�cnico.
Listo para el siguiente nivel de abstracci�n y potencia de c�lculo? Haz clic en "A�adir a la cesta" y domina los Fundamentos de la Mec�nica Hamiltoniana con CORPUS MECHANICA!

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