Lie's group theory of differential equations unifies the many ad hoc methods known for solving differential equations. This work provides an introduction to the application of Lie's theory to the solution of differential equations. It includes worked examples and problems from a range of scientific ..
Biomathematical Problems in Optimization of Cancer Radiotherapy provides insight into the role of cell population heterogeneity in the optimal control of fractionated irradiation of tumors. The book emphasizes the mathematical modeling aspect of the problem and presents the state of the art in the s..
Chaos Theory Tamed is written for scientists, mathematicians, economists, engineers, physiologists and others who wish to bring Chaos Theory into focus as something conceptually understandable and potentially applicable to their field. The book bridges the gap between non-mathematical popular treatm..
This book is concerned with mathematical aspects of theory of high-frequency elastic waves, which is also known as the ray method. The aim of the book is to present a clear systematic description of the ray method, and at the same time to emphasize its mathematical beauty...
Bringing geometric algebra to the mainstream of physics pedagogy, this book presents geometric algebra as a discipline within mathematical physics and shows how geometric algebra can be applied to numerous fundamental problems in physics, especially in experimental situations. It introduces the esse..
Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic..
Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. Group-Theoretic Methods in Mechanics and Applied Mathematics systematizes the group analysis of the main postulates of classical and relativistic mechanics. Exact solutions are given for..
Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. It provides the student with the tools needed for advanced topics, such as quantum mechanics and general relativity, while offering exam..