• Home
  • Mathematics
  • 3GE Collection on Mathematics: Principles of Applied Mathematics

Mathematics

3GE Collection on Mathematics: Principles of Applied Mathematics

3GE Collection on Mathematics: Principles of Applied Mathematics

  • ISBN
  • Price
  • Publication Year
  • Publisher
  • Binding
  • Description
  • About the Editor
    • Offering a number of mathematical facts and techniques, this book explores linear algebraic equations, quadratic and Hermitian forms, the calculus of variations, more.
    • This book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics.

New application areas are constantly being discovered while established techniques are being applied in new ways and in emerging fields. Mathematics has been vital to the development of civilization. From ancient to modern times mathematics has been fundamental to advances in science, engineering, and philosophy. Mathematics plays a key role in the bottom line of industrial organizations, and helps companies perform better in today’s data-driven marketplace. Developments in modern mathematics have been driven by a number of motivations that can be categorized into the solution of a difficult problem and the creation of new theory enlarging the fields of applications of mathematics. Very often the solution of a concrete difficult problem is based on the creation of a new mathematical theory. While on the other hand creation of a new mathematical theory may lead to the solution of an old classical problem.


Offering a number of mathematical facts and techniques, this book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics.
This book entitled “Principles of Applied Mathematics” aims to identify areas in which modern sciences may benefit from the application of the methods in numerical and applied mathematics. The role of numerical analysis, and other analytical mathematical methods, cannot be underestimated. This volume is designed for applied mathematicians and so reflects the way that mathematicians approach problems.


The traditional area of application of mathematics is physics. Within this area the deepest mathematics and success stories have been achieved. For example, Einstein's general theory of relativity was based on classical differential geometry of Riemannian spaces, the Hilbert spaces, the theory of linear operators, and spectral theory. In the 1930's the connection of mathematics and other sciences, especially physics was broken. Physicists got interested in solving more concrete problems that could be solved without the application of sophisticated and abstract modern mathematics. The new approach to mathematics resulted in a more developed mathematical language, new powerful mathematical tools, and inspired new application areas that have resulted in tremendous discoveries in other applied sciences including computer science and computer technology.


Drawing from a wide variety of mathematical subjects, this book aims to show how mathematics is realized in practice in the everyday world and serve as a valuable guide for students and researchers in applied mathematics, theoretical physics and engineering.