Differential Geometry, Calculus of Variations, and Their Applications

Differential Geometry, Calculus of Variations, and Their Applications PDF

Author: George M. Rassias

Publisher: CRC Press

Published: 2023-05-31

Total Pages: 550

ISBN-13: 1000950727

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This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.

Differential Geometry, Calculus of Variations, and Their Applications

Differential Geometry, Calculus of Variations, and Their Applications PDF

Author: George M. Rassias

Publisher:

Published: 2023

Total Pages: 0

ISBN-13: 9781003420033

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This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.

Differential Geometry and Its Applications

Differential Geometry and Its Applications PDF

Author: John Oprea

Publisher: American Mathematical Soc.

Published: 2019-02-06

Total Pages: 469

ISBN-13: 147045050X

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Differential Geometry and Its Applications studies the differential geometry of surfaces with the goal of helping students make the transition from the compartmentalized courses in a standard university curriculum to a type of mathematics that is a unified whole. It mixes geometry, calculus, linear algebra, differential equations, complex variables, the calculus of variations, and notions from the sciences. That mix of ideas offers students the opportunity to visualize concepts through the use of computer algebra systems such as Maple. Differential Geometry and Its Applications emphasizes that this visualization goes hand in hand with understanding the mathematics behind the computer construction. The book is rich in results and exercises that form a continuous spectrum, from those that depend on calculation to proofs that are quite abstract.

Geometric Structures in Nonlinear Physics

Geometric Structures in Nonlinear Physics PDF

Author: Robert Hermann

Publisher: Math Science Press

Published: 1991

Total Pages: 363

ISBN-13: 9780915692422

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VOLUME 26 of INTERDISCIPLINARY MATHEMATICS, series expounding mathematical methodology in Physics & Engineering. TOPICS: Differential & Riemannian Geometry; Theories of Vorticity Dynamics, Einstein-Hilbert Gravitation, Colobeau-Rosinger Generalized Function Algebra, Deformations & Quantum Mechanics of Particles & Fields. Ultimate goal is to develop mathematical framework for reconciling Quantum Mechanics & concept of Point Particle. New ideas for researchers & students. Order: Math Sci Press, 53 Jordan Road, Brookline, MA 02146. (617) 738-0307.