Author: Edouard GoursatPublisher:
ISBN:
Category :
Languages : en
Pages : 566
Book Description
A Course in Mathematical Analysis: Derivatives and differentials. Definite integrals. Expansion in series. Applications to geometry. Translated by E.R.Hedrick.-v.2,pt.1.Functions of a complex variable, translated by E.R.Hedrick and O.Dunkel.-v.2,pt.2.Differential equations, translated by E.R.Hedrick and O.Dunkel.-v.3,pt.1.Variation of solutions. Partial differential equations of the second order. Translated by H.G.Bergmann.-v.3,pt.2.Integral equations. Calculus of variations. Translated by H.G.Bergmann
Author: Edouard Goursatpt. 2. Differential equations, translated by E.R. Hedrick and O. Dunkel
Author: Edouard GoursatPublisher:
ISBN:
Category : Calculus
Languages : en
Pages : 280
Book Description
A Course in Mathematical Analysis: pt.2. Differential equations. [c1917
Author: Edouard GoursatPartial Differential Equations
Author: Lipman BersPublisher: American Mathematical Soc.
ISBN: 0821800493
Category : Differential equations, Partial
Languages : en
Pages : 370
Book Description
Divided in two main parts, this title contains an assortment of material intended to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. Suitable for graduate students and researchers interested in partial differential equations, it also includes a discussion of some quasi-linear elliptic equations.
A Practical Course in Differential Equations and Mathematical Modelling
Author: Nail H IbragimovPublisher: World Scientific Publishing Company
ISBN: 9813107766
Category : Mathematics
Languages : en
Pages : 364
Book Description
A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments. The book — which aims to present new mathematical curricula based on symmetry and invariance principles — is tailored to develop analytic skills and “working knowledge” in both classical and Lie's methods for solving linear and nonlinear equations. This approach helps to make courses in differential equations, mathematical modelling, distributions and fundamental solution, etc. easy to follow and interesting for students. The book is based on the author's extensive teaching experience at Novosibirsk and Moscow universities in Russia, Collège de France, Georgia Tech and Stanford University in the United States, universities in South Africa, Cyprus, Turkey, and Blekinge Institute of Technology (BTH) in Sweden. The new curriculum prepares students for solving modern nonlinear problems and will essentially be more appealing to students compared to the traditional way of teaching mathematics.
Introduction to Analysis in Several Variables: Advanced Calculus
Author: Michael E. TaylorPublisher: American Mathematical Soc.
ISBN: 1470456699
Category : Education
Languages : en
Pages : 445
Book Description
This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation for analysis. The first part treats analysis in one variable, and the text at hand treats analysis in several variables. After a review of topics from one-variable analysis and linear algebra, the text treats in succession multivariable differential calculus, including systems of differential equations, and multivariable integral calculus. It builds on this to develop calculus on surfaces in Euclidean space and also on manifolds. It introduces differential forms and establishes a general Stokes formula. It describes various applications of Stokes formula, from harmonic functions to degree theory. The text then studies the differential geometry of surfaces, including geodesics and curvature, and makes contact with degree theory, via the Gauss–Bonnet theorem. The text also takes up Fourier analysis, and bridges this with results on surfaces, via Fourier analysis on spheres and on compact matrix groups.
The Calculus of Complex Functions
Author: William JohnstonPublisher: American Mathematical Society
ISBN: 1470465655
Category : Mathematics
Languages : en
Pages : 456
Book Description
The book introduces complex analysis as a natural extension of the calculus of real-valued functions. The mechanism for doing so is the extension theorem, which states that any real analytic function extends to an analytic function defined in a region of the complex plane. The connection to real functions and calculus is then natural. The introduction to analytic functions feels intuitive and their fundamental properties are covered quickly. As a result, the book allows a surprisingly large coverage of the classical analysis topics of analytic and meromorphic functions, harmonic functions, contour integrals and series representations, conformal maps, and the Dirichlet problem. It also introduces several more advanced notions, including the Riemann hypothesis and operator theory, in a manner accessible to undergraduates. The last chapter describes bounded linear operators on Hilbert and Banach spaces, including the spectral theory of compact operators, in a way that also provides an excellent review of important topics in linear algebra and provides a pathway to undergraduate research topics in analysis. The book allows flexible use in a single semester, full-year, or capstone course in complex analysis. Prerequisites can range from only multivariate calculus to a transition course or to linear algebra or real analysis. There are over one thousand exercises of a variety of types and levels. Every chapter contains an essay describing a part of the history of the subject and at least one connected collection of exercises that together comprise a project-level exploration.
Applied Mechanics Reviews
Author: A Course In Thermodynamics
Author: Joseph KestinPublisher: CRC Press
ISBN: 9780891166405
Category : Science
Languages : en
Pages : 752
Book Description
Nature
Author: Sir Norman LockyerPublisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 620
Book Description