This book introduces differential equations two students with have the sound course in calculus, including function of several variables. It is intended not only for students in engineering or any physical or mathematical sciences, but is also suitable for those studying the biological or social sciences. By choice of topics and degree of emphasis the instructor can use this book in either Standard or " honors" courses, ranging in length from one quarter to a full academic year.

Introduction to Differential Equations With Applications

Science & Math

Brauer, Fred

Nohel, John A.

Mathematics

Harpercollins College Div

"This is a very good book ... with many well-chosen examples and illustrations." — American Mathematical Monthly This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra. In addition, algebraic results are stated as needed; the less familiar ones are proved either in the text or in appendixes. The topics covered in the first three chapters are the standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. The next three chapters, the heart of the book, deal with stability theory and some applications, such as oscillation phenomena, self-excited oscillations and the regulator problem of Lurie. One of the special features of this work is its abundance of exercises-routine computations, completions of mathematical arguments, extensions of theorems and applications to physical problems. Moreover, they are found in the body of the text where they naturally occur, offering students substantial aid in understanding the ideas and concepts discussed. The level is intended for students ranging from juniors to first-year graduate students in mathematics, physics or engineering; however, the book is also ideal for a one-semester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods.

The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathematics)

Dover Publications

Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems. The approach emphasizes qualitative ideas rather than explicit computations. Some technical details are necessary, but a qualitative approach emphasizing ideas is essential for understanding. The modeling approach helps students focus on essentials rather than extensive mathematical details, which is helpful for students whose primary interests are in sciences other than mathematics need or want. The book discusses a variety of biological modeling topics, including population biology, epidemiology, immunology, intraspecies competition, harvesting, predator-prey systems, structured populations, and more. The authors also include examples of problems with solutions and some exercises which follow the examples quite closely. In addition, problems are included which go beyond the examples, both in mathematical analysis and in the development of mathematical models for biological problems, in order to encourage deeper understanding and an eagerness to use mathematics in learning about biology.

Dynamical Systems for Biological Modeling: An Introduction (Advances in Applied Mathematics)

Kribs, Christopher

Chapman and Hall/CRC

The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Mathematical Models in Population Biology and Epidemiology (Texts in Applied Mathematics)

Castillo-Chavez, Carlos

Biological Sciences

Springer

Mathematical Models in Population Biology and Epidemiology (Texts in Applied Mathematics, 40)

The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

This book balances theory and application in the use of mathemathical models for addressing questions in epidemiology and population studies. This latest revised edition makes extensive use of both examples and exercise problems throughout the text.

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future.
There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.

Mathematical Models in Epidemiology (Texts in Applied Mathematics, 69)

Computers & Technology

Feng, Zhilan

Computer Science

See the best price to sell, buy, or rent books by Brauer, Fred. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Brauer, Fred

See the best price to sell, buy, or rent books by Brauer, Fred. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Introduction to Differential Equations With Applications

The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathematics)

Dynamical Systems for Biological Modeling: An Introduction (Advances in Applied Mathematics)

Mathematical Models in Population Biology and Epidemiology (Texts in Applied Mathematics)

Mathematical Models in Population Biology and Epidemiology (Texts in Applied Mathematics, 40)

Mathematical Models in Population Biology and Epidemiology (Texts in Applied Mathematics, 40)

Mathematical Models in Epidemiology (Texts in Applied Mathematics, 69)