E. Escultura, Exact Solutions of Fermat's Equations (Definitive Resolution of Fermat's Last Theorem), Nonlinear Studies, 5(2), (1998). Likewise, the proof of the 274-year-old Goldbach's conjecture is in E. E. Escultura, The New Mathematics and Physics, Applied Mathematics and Computation...
The complete solutions constructed describe both the structure and dynamics of non-stationary flows. The classification of structural components, including waves, ligaments, and vortices, is given on the basis of the complete solutions of the linearized system. The results of compatible theoretical and...
Such high-dimensional nonlinear PDEs can in nearly all cases not be solved explicitly and it is one of the most challenging tasks in applied mathematics to solve high-dimensional nonlinear PDEs approximately. In particular, it is very challenging to design approximation methods for nonlinear PDEs for...
We develop Conley’s theory for multivalued maps on finite topological spaces. More precisely, for discrete-time dynamical systems generated by the it
This book has become a seminal text on the mathematics of fractals. It introduces the general mathematical theory and applications of fractals in a way that is accessible to students from a wide range of disciplines. - free book at FreeComputerBooks.com
FOUNDATIONS OF OPTIMIZATION O. Guler (2010) Springer XVII+439 ISBN 978-0-387-34431-7 This book is composed of 14 chapters. They are Differential Calculus, Unconstrained Optimization, Variational Principles, Convex Analysis, Structure of Convex Sets and Functions, Separation of Convex Sets, Convex ...
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Realistically speaking, we will never completely eliminate all cell phones from reaching willing and dangerous hands. But, without the efforts, we simply allow peril to mount. The technical solutions are like utilizing complex mathematics for problems that need complex mathematics. There is room for ...
Alex Blocker, Jon Bischof, Jon Hennessy, and Guillaume Basse were outstanding and very helpful teaching assistants for my Harvard Statistics 244 course, and Jon Hennessy contributed solutions to many exercises from which I extracted material at the end of this book. Thanks to students in that ...
it is possible that each cognitive construct is related to mathematics through distinct pathways. The present study tests this hypothesis. One-hundred and eighty 4- to 9-year-olds (Mage= 6.21) completed a battery of numerical, EF, spatial, and mathematics measures. Factor analyses revealed strong...