Introduction to Mathematics for Life Scientists

Front Cover
Springer Science & Business Media, Dec 6, 2012 - Mathematics - 646 pages
A few decades ago mathematics played a modest role in life sciences. Today, however, a great variety of mathematical methods is applied in biology and medicine. Practically every mathematical procedure that is useful in physics, chemistry, engineering, and economics has also found an important application in the life sciences. The past and present training of life scientists does by no means reflect this development. However, the impact ofthe fast growing number of applications of mathematical methods makes it indispensable that students in the life sciences are offered a basic training in mathematics, both on the undergraduate and the graduate level. This book is primarily designed as a textbook for an introductory course. Life scientists may also use it as a reference to find mathematical methods suitable to their research problems. Moreover, the book should be appropriate for self-teaching. It will also be a guide for teachers. Numerous references are included to assist the reader in his search for the pertinent literature.
 

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Contents

Real Numbers
1
Problems for Solution
26
Sets and Symbolic Logic
36
Problems for Solution
55
Problems for Solution
82
The Power Function and Related Functions
90
Problems for Solution
106
Problems for Solution
139
Exponential and Logarithmic Functions II
301
Ordinary Differential Equations
334
Functions of Two or More Independent Variables
381
Probability
401
Problems for Solution
463
Matrices and Vectors
475
Problems for Solution
531
Complex Numbers
547

Problems for Solution
165
Problems for Solution
195
Limits
202
Problems for Solution
228
Differential and Integral Calculus
234
Problems for Solution
291
Problems for Solution
569
Solutions to Odd Numbered Problems
587
References
610
Author and Subject Index
623
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