| From the reviews:
"Friedrich Sauvigny's remarkable two-volume opus constitutes the author's attempt to treat the beautiful and difficult subject of PDEs in a thorough and instructive way. is a fine place to learn PDEs with the goal of doing serious work in the field. Friedrich Sauvigny's scholarship is exemplary and thorough; at the same time his book is both broad and deep and is a pleasure to read." (Michael Berg, MathDL, February, 2007)
This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods.
In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume.
This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others. |
|
|
New Homelands: Hindu Communities in Mauritius, Guyana, Trinidad, South Africa, Fiji, and East AfricaWhen the colonial slave trade, and then slavery itself, were abolished early in the 19th century, the British empire brazenly set up a new system of trade using Indian rather than African laborers. The new system of "indentured" labor was supposed to be different from slavery because the indenture, or contract, was written for an... | | Compiling TechniquesThe name compiler has been given to a computer program which will accept as data a program in a problem-oriented language, such as Algol or Fortran, and produce as output a computer-oriented code which, after possibly some further processing by an assembler or loader, will be capable of being obeyed by a computer and produce results equivalent to... | | |
| | Flash ActionScript for Designers with CDROMFrom user interactivity and eye candy effects to automated content management, ActionScript gives you the power to take your Flash movies to the next level. But what if you're not comfortable with objects, variables, and all that other programming stuff? Relax! Using plenty of easy-to-understand tutorials and an absolute minimum of geek-speak, Doug... | | |
|