Preventa de eBooks de Matemáticas

How linear algebra structures the universe and shapes our brains perception of reality.Why do distant mountains look tiny while your coffee mug looms large? How does your brain find its way in a dark room? And what does any of this have to do with quantum physics? In The Power of Lines, Oscar Fernandez traces the answers to one startling conclusion: the universe runs on linear algebra.Fernandez builds his case by uncovering the hidden linearity all around us, from simple activitieslike making coffee and searching the Webto the complex systems that shape society, like social networks and global markets. Along the way, he shows how the same mathematical ideaslinear equations, matrices, transformationsquietly power them all. And in a finale that redefines mind-blowing, he reveals that your brain, too, relies on this same mathematics to make sense of reality.Clear, vivid, and complemented with key calculations in the chapter appendices, The Power of Lines is a guided tour of the mathematics that explains everything from quantum physics to perception. After reading it, youll never see the worldor your mindthe same way again.

A pioneering volume on the philosophy of interdisciplinary fields of biophysics, biochemistry, astrobiology, and origins of life research.The Philosophy of Biophysics brings together contributions from leading philosophers of biology across the globe to address the conceptual, foundational, and philosophical issues raised by biophysics. The contributions shed light on how physics and biology are integrated in scientific practice and contribute to a better understanding of the relationship between biology and other sciences. With chapters authored by experts in a number of fields, the book will inform debates on interdisciplinarity, causal explanation at different scales, the question of how biology relates to the physical sciences, and the unity of science.The book: interweaves philosophical analysis and scientific details addresses causation, mechanisms, laws, reduction, and scientific methodology covers various areas of biophysics features collaborative work by philosophers and scientists

This surprisingly accessible book uses key math concepts and more than 500 short exercises to teach functional programming to experienced coders.Functional programming is a coding paradigm that emphasizes functions, repeatable computations that take input data and produce corresponding outputs. Functions are also important concepts in math, and a lot of deep mathematical insights shed light on functional computer programming.In this book, the author uses functional programming to introduce mathematical concepts most notably set theory, abstract algebra, and category theory and in turn uses that math to describe functional programming design patterns. The more than 500 short programming exercises included in the book will help you master functional programming and math skills alike, with code examples presented in the F# language.

A practical guide to understanding the theory and practice of computational lower bounds.A fundamental question in computer science is: Given a problem, how hard is it to solve? Usually, the answer to this question lies in determining how long it will take to solve a problem as a function of the length of the input. Yet this question has two different parts, with two different answers: (1) upper bounds, which show that a problem can be solved in time T(n), and (2) lower bounds, which show that a problem cannot be solved in time T(n). In Computational Intractability, Erik Demaine, William Gasarch, and MohammadTaghi Hajiaghayi focus on the latter, providing a guidebook to navigating lower bounds via the study of P, NP, NP-completeness, and other related notions.Computational Intractability covers virtually all aspects of lower bounds, from parallelism to undecidability, and explores this material from the point of view of actual problems rather than classes of problems. The authors show how to prove lower bounds on problems in a wide variety of settings: polynomial time, classes likely above polynomial time (e.g., polynomial space), and classes within polynomial time (e.g., quadratic time).

A rich, thorough exploration of infinity that combines mathematical precision with playful, accessible coverage of a fascinating variety of paradoxes and conundrums.In this rich, thorough account of all things infinite, Joel David Hamkins combines playful thought experiments with mathematically precise exposition to explore the vast, fascinating spectrum of paradoxes and conundrums of infinity. Written with equal parts wonder and rigor, the book moves from classical paradoxes (Zeno, Hilberts Hotel, Aristotles wheel) to Cantors transfinite arithmetic, the continuum hypothesis, surreal numbers, infinitesimals, epistemic logic puzzles, and contemporary debates about potential vs. actual infinity. Twenty-five lively, self-contained chapters are enriched by extensive illustrations, diagrams, figures, and Fermi-style estimation puzzles. Highly readable and pedagogically rich, The Book of Infinity is ideal for undergraduate philosophy and math students and enthusiasts of logical and mathematical curiosities alike. Approaches a wide range of ideas with both rigor and delight Renders deep mathematical ideas accessible to beginners Emphasizes intuition and deep conceptual understanding Integrates historical perspectives and contemporary issues Suits anyone interested in paradoxes, large numbers, and conceptual puzzles

An intuitive, Python-based introduction to calculus for readers interested in real applications of the math.Many people take a calculus course and walk away remembering almost nothingexcept vague ideas about slopes, curves, and something called a tangent.Learn Calculus with Python is written for those readers, as well as anyone else with a firm grasp of algebra and trigonometry who is eager to learn the practical math underlying machine learning optimization, signals processing, planetary simulations, and other useful applications.Rather than teaching calculus as a collection of formulas and procedures, this book uses guided Jupyter Notebooks to introduce concepts like derivatives, integrals, the Fundamental Theorem, and dynamical systems through visualizations and real-world examples.Designed for curious self-learners, programmers, and students who want to understand what calculus is actually describing, Learn Calculus with Python rebuilds the subject from the inside out patiently and in context.

Bringing Integrity to the Stories Numbers Tell When we tell stories with numbers, we depend on the field of statisticsbut how do we know that those stories are true? Almost everything in life is connected to data, and that data can help us make sense of truth in a world that feels increasingly challenging to navigate as Christians.But in a world where we are told to "do our own research," it can be nearly impossible to know whether were just gravitating toward stories that confirm our own untested biases, or whether were analyzing the data in a way that is illuminating truth.Exploring a range of contemporary topics, professor of statistics Jason Wilson shows both non-experts and experts alike that statistics has something to say when it relates to the polarizing issues that we face today. Exploring topics such as gambling, Covid, and media bias, Wilson shows that the ways we collect, organize, analyze, and interpret data have something to say in conversation with the Christian faith.In Statistics and Faith, youll find examinations of contemporary issues using statistical concepts, tools, and theories; case studies from history that show how statistics can be used in ways that are helpful or harmful; application chapters based on over fifteen years of research; and reflection questions to help you explore how to do statistics with integrity. This book is ideal for professors seeking to help students explore the history and application of statistics from a Christian worldview as well as for Christians who are curious about how we understand truth through numbers. It serves as an ideal supplementary text for statistics courses and other disciplines that incorporate statistical methods, and it offers an insightful perspective on how statistics in conversation with Christian faith can speak to todays polarizing issues, empowering readers to discern truth through data in a noisy world.

A comprehensive survey of the dominant methods for separating perceptual from decisional effects and for studying perceptual interactions.Human performance in any perceptual or cognitive task can change for a variety of reasons. Signal detection theory (SDT) and its multidimensional generalization, general recognition theory (GRT), are by far the dominant methods for determining whether a change in performance is due to a change in perception or a change in how perceptual or cognitive information is used to select a response. In addition, GRT is the dominant method for studying perceptual interactions.In this book, author F. Gregory Ashby covers how SDT and GRT are used in thousands of published articles that span an enormous range of fields, including vision and all other areas of perception, memory, decision-making, eyewitness testimony, response time modeling, face perception, visual search, categorization, perceived similarity, preference, stereotyping, implicit learning, fMRI data analysis, and food science. The book includes examples that illustrate how the various methods are applied, as well as Matlab code to perform several key computations.

A LAUNCH TITLE FOR ICON BOOKS BRAND-NEW SHORT CUTS SERIES What with accelerating particles and gravitational waves, dark matter and light speed, nanoscales and exoplanets, the landscape of todays science is an amazing place to explore. But how are you expected to navigate this rapidly spinning world?Short Cuts: Science provides the map you need to start exploring seriously big ideas. Fifty quickfire questions lead to short cut answers written by experts in their field, with each one the setting-off point for clear directions to help you plot your route through an essential concept.With one-stop graphics presenting a memorable image for each idea, and route-map glossaries explaining key words and their connections, Short Cuts: Science will guide you through a world of intellectual wonders.

A NEW, FULLY ILLUSTRATED EDITION OF ANDREW MAYS ILLUMINATING GUIDE TO LIFE NOT ON EARTHThe possibility that alien life exists in the universe is among the most profound of human conjectures, which today is being investigated not just by science-fiction writers but by scientists.Astrobiology presents an expert guide to this compelling field of science. It shows how the tell- tale signatures of life on Earth might hold the key to detecting life beyond our planet; explores the many planets beyond our Solar System discovered by NASAs Kepler and TESS missions; and explains alien- hunting touchstones such as Fermis Paradox, the Drake Equation, and the Wow signal.As NASAs rovers burrow into Mars and its probes peer ever further into the cosmos, this illustrated edition combines deep space images with infographics to cast a scientific eye over the most significant of scientific treasure hunts.

Ciphers, Fractals, and Fibonacci teaches readers how to understand mathematics by experimenting with it. Using short, focused Python programs, readers explore how mathematical ideas behave, change, and interact developing intuition through observation rather than memorization.Mathematics often feels abstract because it is taught as static symbols on a page. But real understanding comes from seeing how ideas behave when you change them.Ciphers, Fractals, and Fibonacci brings an experimental mindset to mathematics, using Python as a tool for exploration. Across eighteen carefully chosen topics, readers write and modify small programs to observe patterns, test assumptions, and see mathematical concepts unfold in real time.This is not a programming book, and it is not a traditional math textbook. Instead, it treats math the way scientists treat physical systems: by running experiments, asking what if?, and learning from what happens. With only basic arithmetic and algebra as prerequisites, readers develop mathematical intuition by doing, not by rote.

La face cachée de notre relation à lIALintelligence artificielle a fait son entrée dans nos vies. Ce formidable outil répond à nos questions, endosse le rôle de conseiller, de confident, voire dami.M