Math for Scientists

Inspired by the authors' popular and well-received lecture series developed for junior neuroscientists with scientific backgrounds ranging from psychology to linguistics

Explains and reviews key mathematics in an accessible way for a broad scientific audience

Each chapter is enhanced by illustrations, graphs and real-world and scientific examples

The paperback format, low price and accessible, contemporary tone give this book a significant competitive edge in its market space

Inspired by the authors' popular and well-received lecture series developed for junior neuroscientists Explains and reviews key mathematics in an accessible way for a broad scientific audience New edition includes two new chapters on statistics and differential equations

Auteur
Natasha Maurits is professor of Clinical Neuroengineering at the University Medical Center Groningen in the Netherlands. She is an applied mathematician by training and has experience in explaining mathematics to non-mathematicians, from children to adults, for over 25 years. She can explain mathematics in intuitive ways, avoiding formulas as much as possible. This approach is highly valued by her students. Bridging the gap between mathematics and other scientific fields is now her daily bread and butter, working as a mathematician in a hospital, and she enjoys explaining the use and beauty of mathematics.
Branislava uri-Blake works as an Associate Professor in neuroscience and cognitive neuropsychiatry at the University Medical Center Groningen in the Netherlands. She has trained as an experimental physicist (a study with a firm basis in mathematics) and did a PhD in neurobiophysics. Starting as a student and throughout her professional career, she has taught primary, high school, master and PhD students the intricacies of mathematics and physics, often motivating them to study these subjects independently with renewed interest.

Texte du rabat

Accessible and comprehensive, this guide is an indispensable tool for anyone in the sciences new and established researchers, students and scientists looking either to refresh their math skills or to prepare for the broad range of math, statistical and data-related challenges they are likely to encounter in their work or studies.

In addition to helping scientists improve their knowledge of key mathematical concepts, this unique book will help readers:

· Read mathematical symbols

· Understand formulas, data or statistical information

· Determine medication equivalents

· Analyze neuroimaging data

Mathematical concepts are presented alongside illustrative and useful real-world scientific examples and are further clarified through practical pen-and-paper exercises. Whether you are a student encountering high-level mathematics in your research or a seasoned scientist looking to refresh or strengthen your understanding, Math for Scientists: Refreshing the Essentials will be the book you reach for again and again.

In this new edition, two new chapters covering statistics and differential equations have been added, which have been workshopped in the 'authors' popular lecture series in order to maximize the benefit for readers.

Contenu
Preface.- Numbers and mathematical symbols: natural, rational, irrational and complex numbers/complex plane: formula reading, often used symbols in mathematical formulas.- Equations: equalities and inequalities: expansions, series: fractional equations: equation solving techniques: various rules (such as Cramer's rule) to solve equations: introduction to basic functions (e.g. square, square root).- Trigonometry: trigonometric ratios, angles: trigonometric functions (sin, cos, tan) and their complex definitions: epicycles: Fourier series and transform.- Vectors: geometric interpretation of vectors: vector addition/subtraction, scalar multiplication: projections: inner product (including related aspects such as correlation, independence and orthogonality).- Matrices: basic matrix manipulations e.g. multiplication and inversion with examples such as the Jacobian, affine transformation, and rotation: Principal Component analysis in matrix notation.- Differentiation: limits and infinity: continuity of a function: the differential: basic differentiation rules: partial differential equations: introduction to dynamic systems.- Integration: explanation in terms of antiderivatives and area under the curve: basic integration rules: convolution.- statistics.- differential equations.