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Read more about Numerical Methods in Scientific Computing

Numerical Methods in Scientific Computing

Copyright Year: 2023

Contributors: van Kan, Segal, and Vermolen

Publisher: TU Delft Open

License: CC BY

This is a book about numerically solving partial differential equations occurring in technical and physical contexts and the authors have set themselves a more ambitious target than to just talk about the numerics. Their aim is to show the place of numerical solutions in the general modeling process and this must inevitably lead to considerations about modeling itself. Partial differential equations usually are a consequence of applying first principles to a technical or physical problem at hand. That means, that most of the time the physics also have to be taken into account especially for validation of the numerical solution obtained. This book aims especially at engineers and scientists who have ’real world’ problems. It will concern itself less with pesky mathematical detail. For the interested reader though, we have included sections on mathematical theory to provide the necessary mathematical background. Since this treatment had to be on the superficial side we have provided further reference to the literature where necessary.

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Read more about Linear Transformations on Vector Spaces

Linear Transformations on Vector Spaces

Copyright Year: 2023

Contributors: Kaschner and Russell

Publisher: PALNI

License: CC BY

Linear Transformations on Vector Spaces serves primarily as a textbook for undergraduate Linear Algebra courses. While standard Linear Algebra books begin by focusing on solving systems of linear equations and associated procedural skills, our book begins by developing a conceptual framework for the topic using the central objects, vector spaces and linear transformations. It covers the same concepts, skills, and, applications as conventional texts in a one-semester course, but students walk away with a much richer and more useful mastery of the topics. The book is structured to facilitate the implementation of the flipped classroom. The text features a continuous narrative to illuminate the big picture of the material and is written to help students develop their textbook reading skills. Also, there are “Explorations” scattered throughout each section; these are quick first examples intended for students to complete while reading before class meetings. Additional materials include section overview homework assignments and worksheets that can be used for in-class practice.

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Read more about Introducing Mathematical Biology

Introducing Mathematical Biology

Copyright Year: 2023

Contributor: Best

Publisher: The University of Sheffield

License: CC BY

Mathematical modelling plays an increasingly important role in almost any area of life sciences, and this interactive textbook focuses on the areas of population ecology, infectious diseases, immunology and cell dynamics, gene networks and pharmacokinetics. It is aimed at anyone who is interested in learning about how to model biological systems, including undergraduate and postgraduate mathematics students who have not studied mathematical biology before, life-sciences students with an interest in modelling, and post-16 mathematics students interested in university-level material. Some mathematical knowledge is assumed, and the mathematical models used are all in the form of ordinary differential equations.

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Read more about Foundations of Biomedical Science: Quantitative Literacy: Theory and Problems

Foundations of Biomedical Science: Quantitative Literacy: Theory and Problems

Copyright Year: 2023

Contributor: Pakay

Publisher: La Trobe eBureau

License: CC BY-NC-SA

Foundations of Biomedical Science: Quantitative Literacy Theory and Problems is designed to help students develop the fundamental mathematical and quantitative literacy required to navigate and interpret evidence-based Biomedical data. This will provide students with the skills and confidence to habitually question any quantitative data they come across and to use these skills to make informed judgements regarding their veracity.

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Read more about Contemporary Mathematics

Contemporary Mathematics

Copyright Year: 2023

Contributor: Kirk

Publisher: OpenStax

License: CC BY

Contemporary Mathematics is designed to meet the scope and sequence requirements for a liberal arts mathematics course. This resource provides stand-alone sections with a focus on showing relevance in the features as well as the examples, exercises, and exposition. Contemporary Mathematics integrates technology applications, projects, and highlights a diverse group of contributors to mathematics, statistics, and related fields.

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Read more about An Intuitive, Interactive, Introduction to Biostatistics

An Intuitive, Interactive, Introduction to Biostatistics

Copyright Year: 2023

Contributors: Ward and Nolte

Publisher: University of Iowa

License: CC BY-NC

"An Intuitive, Interactive Introduction to Biostatistics" is an introductory statistics textbook oriented towards towards undergraduate students in the health sciences. While covering the breadth of material typically presented in a first semester statistics course, including introductions to probability and distributions, study design, CLT, hypothesis testing, and inference, IIIB distinguishes itself with its focus on cultivating student intuition through the use of guided questions and interactive simulation-based applets. Written in R, this open-source text has been created with customizability in mind, offering instructors maximal flexibility in arranging and modifying the content.

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Read more about Introductory Algebra

Introductory Algebra

Copyright Year: 2012

Contributor: Gloag

Publisher: Independent

License: CC BY-NC-SA

Introductory Algebra provides a comprehensive introduction of variables, functionsand linear equations and gives students a solid foundation in algebra.

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Read more about Introduction to Arithmetic Groups

Introduction to Arithmetic Groups

Copyright Year: 2015

Contributor: Morris

Publisher: Deductive Press

License: CC0

Introduction to Arithmetic Groups

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Read more about Introduction to Systems Biology: Workbook for Flipped-Classroom Teaching

Introduction to Systems Biology: Workbook for Flipped-Classroom Teaching

Copyright Year: 2023

Contributors: Sauter and Albrecht

Publisher: Open Book Publishers

License: CC BY-NC

This book is an introduction to the language of systems biology, which is spoken among many disciplines, from biology to engineering. Authors Thomas Sauter and Marco Albrecht draw on a multidisciplinary background and evidence-based learning to facilitate the understanding of biochemical networks, metabolic modeling and system dynamics. Their pedagogic approach briefly highlights core ideas of concepts in a broader interdisciplinary framework to guide a more effective deep dive thereafter. The learning journey starts with the purity of mathematical concepts, reveals its power to connect biological entities in structure and time, and finally introduces physics concepts to tightly align abstraction with reality. This workbook is all about self-paced learning, supports the flipped-classroom concept, and kick-starts with scientific evidence on studying. Each chapter comes with links to external YouTube videos, learning checklists, and Integrated real-world examples to gain confidence in thinking across scientific perspectives. The result is an integrated approach that opens a line of communication between theory and application, enabling readers to actively learn as they read. This overview of capturing and analyzing the behavior of biological systems will interest adherers of systems biology and network analysis, as well as related fields such as bioinformatics, biology, cybernetics, and data science.

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Read more about Numerical Methods for Ordinary Differential Equations

Numerical Methods for Ordinary Differential Equations

Copyright Year: 2023

Contributors: Vuik, Vermolen, and van Gijzen

Publisher: TU Delft Open

License: CC BY

In this book we discuss several numerical methods for solving ordinary differential equations. We emphasize the aspects that play an important role in practical problems. We confine ourselves to ordinary differential equations with the exception of the last chapter in which we discuss the heat equation, a parabolic partial differential equation. The techniques discussed in the intro-ductory chapters, for instance interpolation, numerical quadrature and the solution to nonlinear equations, may also be used outside the context of differential equations. They have been in-cluded to make the book self-contained as far as the numerical aspects are concerned. Chapters, sections and exercises marked with a * are not part of the Delft Institutional Package.

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