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An Introduction to the Mathematics of Biology: with Computer Algebra Models
Biology is a source of fascination for most scientists, whether their training is in the life sciences or not. In particular, there is a special satisfaction in discovering an understanding of biology in the context of another science like mathematics. Fortunately there are plenty of interesting (and fun) problems in biology, and virtually all scientific disciplines have become the richer for it. For example, two major journals, Mathematical Biosciences and Journal of Mathematical Biology, have tripled in size since their inceptions 20-25 years ago. The various sciences have a great deal to give to one another, but there are still too many fences separating them. In writing this book we have...
Boundary Value Problems
Preface -- Chapter 0. Ordinary Differential Equations -- Chapter 1. Fourier Series and Integrals -- Chapter 2. The Heat Equation -- Chapter 3. The Wave Equation -- Chapter 4. The Potential Equation -- Chapter 5. Higher Dimensions & Other Coordinates.
Spectral Theory of Differential Operators
Spectral Theory of Differential Operators
Initial Value Methods for Boundary Value Problems: Theory and Application of Invariant Imbedding
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator ...
Union Questions
None
Using Math in Science
This book demonstrates how science and math go hand in hand. Math helps chemists and biologists discover cures for diseases, and it allows physicists to predict a car or rocket?s movements. More accessible to students today is how math helps scientists design the computers and cell phones that are so commonplace. Readers will learn about this and more while answering the question, "What good is math in the real world?" Readers will learn how to apply mathematical principles to their daily lives and build a career from the parts that are most interesting to them.
Introduction to Hilbert Spaces with Applications
"Continuing on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory complemented by a variety of applications. Students and researchers will benefit from the enhanced presentation of results and proofs and new and revised examples. A completely new section on Sobolev spaces has been added, and the treatment of finite dimensional normed spaces has been expanded. The chapter on wavelets has been updated."--BOOK JACKET.
