Author: SHANTI NARAYAN
Publisher: S. Chand Publishing
ISBN: 8121901618
Category : Mathematics
Languages : en
Pages : 368
Book Description
A TEXTBOOK OF VECTOR CALCULUS
A TEXTBOOK OF VECTOR CALCULUS
Author: SHANTI NARAYAN
Publisher: S. Chand Publishing
ISBN: 8121901618
Category : Mathematics
Languages : en
Pages : 368
Book Description
A TEXTBOOK OF VECTOR CALCULUS
Publisher: S. Chand Publishing
ISBN: 8121901618
Category : Mathematics
Languages : en
Pages : 368
Book Description
A TEXTBOOK OF VECTOR CALCULUS
Vector Analysis
Author: Klaus Jänich
Publisher: Springer Science & Business Media
ISBN: 1475734786
Category : Mathematics
Languages : en
Pages : 289
Book Description
This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.
Publisher: Springer Science & Business Media
ISBN: 1475734786
Category : Mathematics
Languages : en
Pages : 289
Book Description
This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality. The material is accessible to readers and students with only calculus and linear algebra as prerequisites. A large number of illustrations, exercises, and tests with answers make this book an invaluable self-study source.
Introduction to Infinite Dimensional Stochastic Analysis
Author: Zhi-yuan Huang
Publisher: Springer Science & Business Media
ISBN: 9401141088
Category : Mathematics
Languages : en
Pages : 308
Book Description
The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in mathematical physics, the first steps in this field were taken by V. Volterra, R. GateallX, P. Levy and M. Frechet, among others (see the preface to Levy[2]). Nevertheless, the most fruitful direction in this field is the infinite dimensional integration theory initiated by N. Wiener and A. N. Kolmogorov which is closely related to the developments of the theory of stochastic processes. It was Wiener who constructed for the first time in 1923 a probability measure on the space of all continuous functions (i. e. the Wiener measure) which provided an ideal math ematical model for Brownian motion. Then some important properties of Wiener integrals, especially the quasi-invariance of Gaussian measures, were discovered by R. Cameron and W. Martin[l, 2, 3]. In 1931, Kolmogorov[l] deduced a second partial differential equation for transition probabilities of Markov processes order with continuous trajectories (i. e. diffusion processes) and thus revealed the deep connection between theories of differential equations and stochastic processes. The stochastic analysis created by K. Ito (also independently by Gihman [1]) in the forties is essentially an infinitesimal analysis for trajectories of stochastic processes. By virtue of Ito's stochastic differential equations one can construct diffusion processes via direct probabilistic methods and treat them as function als of Brownian paths (i. e. the Wiener functionals).
Publisher: Springer Science & Business Media
ISBN: 9401141088
Category : Mathematics
Languages : en
Pages : 308
Book Description
The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in mathematical physics, the first steps in this field were taken by V. Volterra, R. GateallX, P. Levy and M. Frechet, among others (see the preface to Levy[2]). Nevertheless, the most fruitful direction in this field is the infinite dimensional integration theory initiated by N. Wiener and A. N. Kolmogorov which is closely related to the developments of the theory of stochastic processes. It was Wiener who constructed for the first time in 1923 a probability measure on the space of all continuous functions (i. e. the Wiener measure) which provided an ideal math ematical model for Brownian motion. Then some important properties of Wiener integrals, especially the quasi-invariance of Gaussian measures, were discovered by R. Cameron and W. Martin[l, 2, 3]. In 1931, Kolmogorov[l] deduced a second partial differential equation for transition probabilities of Markov processes order with continuous trajectories (i. e. diffusion processes) and thus revealed the deep connection between theories of differential equations and stochastic processes. The stochastic analysis created by K. Ito (also independently by Gihman [1]) in the forties is essentially an infinitesimal analysis for trajectories of stochastic processes. By virtue of Ito's stochastic differential equations one can construct diffusion processes via direct probabilistic methods and treat them as function als of Brownian paths (i. e. the Wiener functionals).
Tensor and Vector Analysis
Author: A.T. Fomenko
Publisher: CRC Press
ISBN: 9789056990077
Category : Mathematics
Languages : en
Pages : 322
Book Description
Reflecting the significant contributions of Russian mathematicians to the field, this book contains a selection of papers on tensor and vector analysis. It is divided into three parts, covering Hamiltonian systems, Riemannian geometry and calculus of variations, and topology. The range of applications of these topics is very broad, as many modern geometrical problems recur across a wide range of fields, including mechanics and physics as well as mathematics. Many of the approaches to problems presented in this volume will be novel to the Western reader, although questions are of global interest. The main achievements of the Russian school are placed in the context of the development of each individual subject.
Publisher: CRC Press
ISBN: 9789056990077
Category : Mathematics
Languages : en
Pages : 322
Book Description
Reflecting the significant contributions of Russian mathematicians to the field, this book contains a selection of papers on tensor and vector analysis. It is divided into three parts, covering Hamiltonian systems, Riemannian geometry and calculus of variations, and topology. The range of applications of these topics is very broad, as many modern geometrical problems recur across a wide range of fields, including mechanics and physics as well as mathematics. Many of the approaches to problems presented in this volume will be novel to the Western reader, although questions are of global interest. The main achievements of the Russian school are placed in the context of the development of each individual subject.
Vector Calculus
Author: James Byrnie Shaw
Publisher:
ISBN:
Category : Vector analysis
Languages : en
Pages : 348
Book Description
Publisher:
ISBN:
Category : Vector analysis
Languages : en
Pages : 348
Book Description
A Textbook of Vector Analysis
Author: Shanti Narayan | PK Mittal
Publisher: S. Chand Publishing
ISBN: 9788121922432
Category : Mathematics
Languages : en
Pages : 422
Book Description
A Textbook of Vector Analysis
Publisher: S. Chand Publishing
ISBN: 9788121922432
Category : Mathematics
Languages : en
Pages : 422
Book Description
A Textbook of Vector Analysis
Vector Analysis
Author: Wilson Gibbs. J. Willard (Edwin)
Publisher:
ISBN:
Category :
Languages : en
Pages : 470
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 470
Book Description
Introduction to Calculus and Analysis II/1
Author: Richard Courant
Publisher: Springer Science & Business Media
ISBN: 3642571492
Category : Mathematics
Languages : en
Pages : 585
Book Description
From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Publisher: Springer Science & Business Media
ISBN: 3642571492
Category : Mathematics
Languages : en
Pages : 585
Book Description
From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Vector Analysis
Author: Edwin Bidwell Wilson
Publisher:
ISBN:
Category : Vector analysis
Languages : en
Pages : 466
Book Description
Publisher:
ISBN:
Category : Vector analysis
Languages : en
Pages : 466
Book Description
Geometry & Vector Calculus
Author: A. R. Vasishtha
Publisher: Krishna Prakashan Media
ISBN: 8182835372
Category :
Languages : en
Pages : 581
Book Description
Publisher: Krishna Prakashan Media
ISBN: 8182835372
Category :
Languages : en
Pages : 581
Book Description