Topics in Differential Geometry and Calculus of Variations
Author: Parmanand Gupta
Publisher: Laxmi Publications
Published: 2012-02
Total Pages: 203
ISBN-13: 9380298811
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Differential Geometry, Calculus of Variations, and Their Applications
Author: George M. Rassias
Publisher: CRC Press
Published: 2023-05-31
Total Pages: 550
ISBN-13: 1000950727
DOWNLOAD EBOOK →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 Calculus of Variations
Differential Geometry and Calculus of Variations
Author: American Mathematical Society
Publisher:
Published: 1962
Total Pages: 528
ISBN-13:
DOWNLOAD EBOOK →Topics in Mathematical Analysis and Differential Geometry
Author: Nicolas K. Laos
Publisher: World Scientific
Published: 1998
Total Pages: 580
ISBN-13: 9789810231804
DOWNLOAD EBOOK →This book studies the interplay between mathematical analysis and differential geometry as well as the foundations of these two fields. The development of a unified approach to topological vector spaces, differential geometry and algebraic and differential topology of function manifolds led to the broad expansion of global analysis. This book serves as a self-contained reference on both the prerequisites for further study and the recent research results which have played a decisive role in the advancement of global analysis.
Topics in Differential Geometry and Calculus of Variations
Calculus of Variations and Partial Differential Equations
Author: Luigi Ambrosio
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 347
ISBN-13: 3642571867
DOWNLOAD EBOOK →At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to PDEs respectively. This self-contained presentation accessible to PhD students bridged the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.
Differential Geometry and Its Applications
Author: John Oprea
Publisher: American Mathematical Soc.
Published: 2019-02-06
Total Pages: 469
ISBN-13: 147045050X
DOWNLOAD EBOOK →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.
Differential Geometry, Calculus of Variations, and Their Applications
Author: George M. Rassias
Publisher:
Published: 2023
Total Pages: 0
ISBN-13: 9781003420033
DOWNLOAD EBOOK →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.
The Calculus of Variations
Author: Bruce van Brunt
Publisher: Springer Science & Business Media
Published: 2006-04-18
Total Pages: 295
ISBN-13: 0387216979
DOWNLOAD EBOOK →Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.
