Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems,...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
The origins of this book go back more than twenty years when, funded by small grants from the European Union, the control theory groups from the universities of Bremen and Warwick set out to develop a course in ?nite dimensional systems t- ory suitable for students with a mathematical background, who had taken courses in Analysis, Linear Algebra and Di?erential Equations. Various versions of the course were given to undergraduates at Bremen and Warwick and a set of lecture notes was produced entitled "Introduction to Mathematical Systems Theory." As well as ourselves, the main contributors to...
The origins of this book go back more than twenty years when, funded by small grants from the European Union, the control theory groups from the unive...
Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the...
Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The ...
This book provides a systematic treatment of the mathematical underpinnings of work in the theory of outbreak dynamics and their control, covering balanced perspectives between theory and practice including new material on contemporary topics in the field of infectious disease modelling. Specifically, it presents a unified mathematical framework linked to the distribution theory of non-negative random variables; the many examples used in the text, are introduced and discussed in light of theoretical perspectives.
The book is organized into 9 chapters: The first motivates the...
This book provides a systematic treatment of the mathematical underpinnings of work in the theory of outbreak dynamics and their control, co...
This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance...
This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also...
This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to...
This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It ...
This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance...
This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is als...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high Ievel of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems,...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
This book is developed primarily from the author’s 20 years of teaching the course at his own university. It addresses both theory and applications, interweaving application with theory throughout the text. The author links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The revised edition includes considerable new material; the impressive array of exercises has been more than doubled in size and enhanced in scope.
This book is developed primarily from the author’s 20 years of teaching the course at his own university. It addresses both theory and applicatio...
