A comprehensive reference book on the fundamental formulas of mathematical physics. It covers statistics, nomograms, physical constants, classical mechanics, special and general theories of relativity, hydro- and aerodynamics, boundary value problems in mathematical physics, heat and thermodynamics, statistical mechanics, kinetic theory of gases, viscosity, thermal conductions, electromagnetism, and much more. Also deals with certain cross-field disciplines where physics touches upon chemistry, astronomy, meteorology, biology, and electronics.
A highly vivid and comprehensive guide to higher maths. Physics and engineering students need a clear understanding of mathematics in order to solve a vast array of problems posed to them in coursework. In a clear and didactic manner, this book explains to the student why particular advanced mathematical techniques are useful for solving certain problems. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering through a discussion of a wide range of real physical problems.
"Mathematical Olympiad Treasures" aims at building a bridge between ordinary high school examples and exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of geometry and trigonometry, algebra, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus of "Treasures" is on engaging a wider audience of undergraduates to think creatively in applying techniques and strategies to problems in the real world.
It is impossible to imagine modern mathematics without complex numbers. "Complex Numbers from A to ...Z" introduces the reader to this fascinating subject which, from the time of L. Euler, has become one of the most utilized ideas in mathematics.
The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving them.