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 mathem...

Gerd Gigerenzer's Reckoning with Risk: Learning to Live with Uncertainty illustrates how we can learn to make sense of statistics and turn ignorance into insight. However much we want certainty in our lives, it feels as if we live in an uncertain and dangerous world. But are we guilty of wildly exaggerating the chances of some unwanted event happening to us? Are we misled by our ignorance of the reality of risk? Far too many of us, argues Gerd Gigerenzer, are hampered by our own innumeracy, w...

Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum.

Exercise sets are broad and varied and reflect the author's creativity a...

This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics.

Engineering Mathematics with Examples and Applications provides a compact and concise primer in the field, starting with the foundations, and then gradually developing to the advanced level of mathematics that is necessary for all engineering disciplines. Therefore, this book's aim is to help undergraduates rapidly develop the fundamental knowledge of engineering mathematics. The book can also be used by graduates to review and refresh their mathematical skills.

Step-by-step worked examples w...

A springboard for success in Calculus.

With a unique framework and a fresh approach Preparation for Calculus equips students with the necessary skills and confidence to succeed in their foundational calculus course and beyond. The authors focus on challenges observed in the modern classroom to create an accessible resource that will help students develop strong calculation skills and mathematical sophistication.

This short guide to modern error analysis is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed. The necessary concepts are introduced where needed and illustrated graphically. The book emphasises the use of computers for error calculations and data fitting.

A daily glass of wine prolongs life-yet alcohol can cause life-threatening cancer. Some say raising the minimum wage will decrease inequality while others say it increases unemployment. Scientists once confidently claimed that hormone replacement therapy reduced the risk of heart disease but now they equally confidently claim it raises that risk.

What should we make of this endless barrage of conflicting claims? Observation and Experiment is an introduction to causal inference by one of the f...

This book is a self-contained treatment of all the mathematics needed by undergraduate and masters-level students of economics. Building up gently from a very low level, the authors provide a clear, systematic coverage of calculus and matrix algebra. The second half of the book gives a thorough account of probability, optimisation and dynamics.The emphasis throughout is on intuitive argument and problem-solving.

All methods are illustrated by examples, exercises and problems selected from cen...

Research Methods for the Biosciences is the perfect resource for students wishing to develop the crucial skills needed for designing, carrying out, and reporting research, with examples throughout the text drawn from real undergraduate projects.