یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
1. Modeling, Change, and Simulation -- 2. Derivatives and Integrals -- 3. Equilibrium Behavior -- 4. Non-Equilibrium Dynamics: Oscillation -- 5. Chaos -- 6. Linear Algebra -- 7. Multivariable Systems -- Bibliography -- Index.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. This book develops the mathematical tools essential for students in the life sciences to describe these interacting systems and to understand and predict their behavior. Complex feedback relations and counter-intuitive responses are common in dynamical systems in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler's method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Springer Nature
شماره انبار
com.springer.onix. 9783319597317
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Modeling life.
شماره استاندارد بين المللي کتاب و موسيقي
3319597302
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Biology-- Mathematical models.
موضوع مستند نشده
Biomathematics.
موضوع مستند نشده
Biology-- Mathematical models.
موضوع مستند نشده
Biomathematics.
موضوع مستند نشده
Differential calculus & equations.
موضوع مستند نشده
Mathematical modelling.
موضوع مستند نشده
Mathematics-- Applied.
موضوع مستند نشده
Mathematics-- Differential Equations.
موضوع مستند نشده
Maths for scientists.
مقوله موضوعی
موضوع مستند نشده
MAT003000
موضوع مستند نشده
PDE
رده بندی ديویی
شماره
570
.
1/5118
ويراست
23
رده بندی کنگره
شماره رده
QH323
.
5
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )