Mathematics that Works

volume 1

Introduction to Calculus

Auteur Maarten de Gee
Bedoeld voor Students in applied sciences
Ingangsniveau High school mathematics
Uitgave 1e druk, 2018
ISBN 978-90-5041-167-7
 314 pagina's
Prijs € 35,00

From ancient times, mathematics has developed side-by-side with physics; only in the last two hundred years they came apart as different branches of science. Extensive use of mathematics in other sciences, such as biology, chemistry, economics, pharmacology, environmental and social sciences is even more recent. Nowadays, knowledge of mathematical techniques is indispensable also for students and researchers in these fields.

The series of textbooks "Mathematics that Works" presents mathematical methods with a sharp focus on applicability. There is an ample supply of worded-out examples and instructive exercises. The techniques are illustrated in applications from various branches of science; here, the connection between the mathematical method and the application is equally important as the mathematics itself. Thus the way the students digest the matter is aimed at practical usability within their own field, and skills take priority over the mathematical abstraction level. By connecting mathematics to its applications the usage of mathematics in the applied sciences is facilitated.

This first volume treats the basics of "calculus", that is the branch of mathematics that deals with functions, differentiation and integration. Although many readers will have some prior knowledge and skills regarding functions and differentiation, integration is new for most of them. In this text, differentiation and integration are interspersed among the discussion on the standard functions. In this way, the student has more time to digest these topics, which makes the text suited for a short course focussing on practical skills. Studying concrete examples and doing many exercises are key to success.

0. Prerequisites
1. Polynomials and power functions
2. Differentiation and antidifferentiation
3. Exponential functions and logarithms
4. Differentiation and integration
5. Trigonometric functions
6. More about differentiation and integration

Maarten de Gee works in a group of applied mathematicians and statisticians at Wageningen University. Their mathematical research includes systems biology, food physics, weather- and climate models, hydrology and population dynamics.

 Van deze auteur verschenen ook
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  • Wiskunde in Werking deel 1: vectoren en matrices toegepast (M. de Gee)
  • Wiskunde in Werking deel 2: analyse toegepast (M. de Gee)
  • Wiskunde in Werking deel 3: functies van meer variabelen toegepast (M. de Gee)
  • Mathematics that Works volume 2: Analysis Applied (M. de Gee)
  • Mathematics that Works volume 3: Vectors and Matrices Applied (M. de Gee)
  • Mathematics that Works volume 4: Time-dependent Systems (M. de Gee)
  • Mathematics that Works volume 5: Processes in Space and Time (M. de Gee)