عنوان

Modeling life :

شابک

3319597310

شابک

9783319597317

شابک اشتباه

3319597302

شابک اشتباه

9783319597300

شماره

b624047

عنوان اصلي

Modeling life :

نام عام مواد

[Book]

ساير اطلاعات عنواني

the mathematics of biological systems /

نام نخستين پديدآور

Alan Garfinkel, Jane Shevtsov, Yina Guo.

نام خاص و کميت اثر

1 online resource (xv, 445 pages) :

ساير جزييات

illustrations (some color)

متن يادداشت

Includes bibliographical references and index.

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

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?

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix. 9783319597317

عنوان

Modeling life.

شماره استاندارد بين المللي کتاب و موسيقي

3319597302

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.

موضوع مستند نشده

MAT003000

موضوع مستند نشده

PDE

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Garfinkel, Alan

مستند نام اشخاص تاييد نشده

Guo, Yina

مستند نام اشخاص تاييد نشده

Shevtsov, Jane

تاريخ عمليات

20201221083202.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y