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How to develop the thinking tools and techniques to understand the maths of modern life

When we learn about abstract mathematical concepts - from prime numbers and fractals to aspects of calculus - the most common question is often: when on earth will I need this? To many of us, so-called 'pure' mathematics is downright baffling. Yet these concepts are what underpin the world we live in, from internet security to the transmission of radio waves. When you start to think like a mathematician, the secrets of technology and modern life suddenly make sense.

Junaid Mubeen regards mathematics as a collection of thinking tools that can enrich the way we approach our everyday lives. In Think Like a Mathematician, he presents a catalogue of enlightening mathematical concepts. Some will be familiar from school, but the majority are ideas that readers will not have encountered before. And anyone - from mathematicians to self-proclaimed mathophobes - can learn from them. All of these ideas are easy to grasp, and a few may even reshape the way you see the world.

Mubeen J: Think Like A Mathematician

Think Like A Mathematician

Simple Tools for Complex Everyday Problems

Nick Clegg, formerly one of Meta's most senior executives, presents a blueprint for reforming Big Tech while preserving the essential openness of the internet 'Warns of the dangers posed to a free and open global internet by an age of autocrats and a titanic power struggle over AI' Guardian As democracies seek to curb the power of Big Tech, as authoritarian regimes like China and Russia isolate their populations from the internet, and as the AI race supercharges divisions between competing nations, the most powerful tool for bringing us together risks being dismantled. Taking us behind the scenes at Meta, and drawing on his unique experience on the world stage of both tech and politics, Nick Clegg sets out where Big Tech has gone wrong and the radical reforms that are needed if global platforms are to ensure their long-term future. But he also shows that many of the charges against them are overstated or simply untrue, and presents a blueprint for the international cooperation that is needed if we are to preserve what makes them so vital to our future: their potential to empower and improve billions of lives. Radical, reasonable, deeply felt and disarmingly honest, How To Save the Internet reminds us how much we stand to lose on our current path - and how much we might yet gain from a global, open internet. 'Entertaining . . . lucid, detailed . . . there is much to agree with' Spectator 'Studded throughout [with] good analyses of the political situation around technology' Observer 'A gripping and timely book. Nick Clegg writes with clarity, authority and urgency' Peter Frankopan, author of The Silk Roads 'A wake-up call we cannot afford to ignore' Tony Blair 'A vital read' Reid Hoffman, co-founder of LinkedIn

The Threat to Global Connection in the Age of AI and Political Conflict

How to Save the Internet

The Untold Story of Steve Jobs's Wilderness Years—and the Creation of a Legend In 1985, Steve Jobs—the brilliant, volatile founder of Apple Computer—walked out of his company's headquarters, fired from the very corporation he had created. What happened next would transform not only his life and career, but the future of technology itself. For twelve years, from 1985 to 1997, Jobs wandered the business wilderness with his new venture, NeXT. It was a period of spectacular failures, near-bankruptcy, and brutal humiliation. But out of this crucible of defeat emerged the visionary leader who would go on to create the iPod, iPhone, and iPad, transforming Apple into the most valuable company on earth. Drawing on previously unpublished materials and new interviews with the key players, Geoffrey Cain reveals the untold story of Steve Jobs's "lost decade"—the formative years that shaped the icon we thought we knew. With unprecedented access to unbroadcast footage of Jobs in NeXT meetings, private company documents, and interviews with his closest colleagues, Cain offers the definitive account of how failure transformed a brash wunderkind into a true business genius. This is the story of how Steve Jobs learned to lead, how he discovered the power of focus, and how a spectacular failure became the foundation for one of the greatest comebacks in business history. It is nothing less than the missing piece in the legend of Steve Jobs.

The Untold Story of Steve Jobs's Wilderness Years—and the Creation of a Legend In 1985, Steve Jobs—the brilliant, volatile founder of Apple Computer—walked out of his company's headquarters, fired from the very corporation he had created. What happened next would transform not only his life and career, but the future of technology itself. For twelve years, from 1985 to 1997, Jobs wandered the business wilderness with his new venture, NeXT. It was a period of spectacular failures, near-bankruptcy, and brutal humiliation. But out of this crucible of defeat emerged the visionary leader who would go on to create the iPod, iPhone, and iPad, transforming Apple into the most valuable company on earth. Drawing on previously unpublished materials and new interviews with the key players, Geoffrey Cain reveals the untold story of Steve Jobs's "lost decade"—the formative years that shaped the icon we thought we knew. With unprecedented access to unbroadcast footage of Jobs in NeXT meetings, private company documents, and interviews with his closest colleagues, Cain offers the definitive account of how failure transformed a brash wunderkind into a true business genius. This is the story of how Steve Jobs learned to lead, how he discovered the power of focus, and how a spectacular failure became the foundation for one of the greatest comebacks in business history. It is nothing less than the missing piece in the legend of Steve Jobs.

The Untold Story of NeXt and the Remaking of an American Visionary

Steve Jobs in Exile

A comprehensive look at causality’s theoretical and practical aspects in economics and finance. In Causal Modeling for Finance and Business, Frank Fabozzi and Sergio Focardi offer a foundation for understanding causal relationships and their importance in complex systems. Topics include the theory of graphs, probabilistic frameworks, structural causal models, algorithms for learning causal structures, and the empirical testing of these models. The book emphasizes applying and deploying causal models in real-world business and investment scenarios. However, it also offers a novel theoretical perspective on causal modeling. Fabozzi and Focardi argue that causation is not a law of nature, but a characteristic of causal systems. If we accept the modern idea of causation as manipulability, causal systems are characterized by causal relationships as well as purely descriptive functional relationships. With these arguments in mind, the book addresses a critical gap in understanding and applying causal reasoning in complex systems. While correlations have often been relied upon in data analysis, decision-making in business and economics demands a deeper understanding of causation and functional relationships to drive actionable outcomes. The book’s objective is to provide a comprehensive resource that bridges foundational theories and practical applications of causal models. By integrating recent advancements in artificial intelligence, probabilistic logic, and graph theory, the authors offer a robust framework for researchers, practitioners, and decision-makers to harness the power of causality in solving intricate problems.

A comprehensive look at causality’s theoretical and practical aspects in economics and finance. In Causal Modeling for Finance and Business, Frank Fabozzi and Sergio Focardi offer a foundation for understanding causal relationships and their importance in complex systems. Topics include the theory of graphs, probabilistic frameworks, structural causal models, algorithms for learning causal structures, and the empirical testing of these models. The book emphasizes applying and deploying causal models in real-world business and investment scenarios. However, it also offers a novel theoretical perspective on causal modeling. Fabozzi and Focardi argue that causation is not a law of nature, but a characteristic of causal systems. If we accept the modern idea of causation as manipulability, causal systems are characterized by causal relationships as well as purely descriptive functional relationships. With these arguments in mind, the book addresses a critical gap in understanding and applying causal reasoning in complex systems. While correlations have often been relied upon in data analysis, decision-making in business and economics demands a deeper understanding of causation and functional relationships to drive actionable outcomes. The book’s objective is to provide a comprehensive resource that bridges foundational theories and practical applications of causal models. By integrating recent advancements in artificial intelligence, probabilistic logic, and graph theory, the authors offer a robust framework for researchers, practitioners, and decision-makers to harness the power of causality in solving intricate problems.

Foundations, Frameworks, and Applications

Causal Modeling for Finance and Business

An engaging, rigorous, and up-to-date urban economics textbook for undergraduates. The complexity inherent to urban economics has long limited its study to graduate students, but this course-in-a-book brings the discipline’s main ideas into reach for undergraduates for the first time. A Field Guide to Urban Economics adopts an intuitive, example-driven style and provides clear explanations of fundamental urban economic models along with carefully selected modern topics not found in existing texts. Based on years of classroom experience, this engaging and up-to-date book offers theoretical rigor, an empirical perspective, and policy applications in an approachable introduction to the field.&nbsp; <ul><li> Makes urban economics accessible to undergraduates </li><li> Explains the basic facts and patterns behind the organization of cities </li><li> Covers quantitative spatial models and other recent developments </li><li> Motivates ideas with reference to real world phenomena </li><li> Offers clear mathematical explanations without being overly technical</li></ul>

An engaging, rigorous, and up-to-date urban economics textbook for undergraduates. The complexity inherent to urban economics has long limited its study to graduate students, but this course-in-a-book brings the discipline’s main ideas into reach for undergraduates for the first time. A Field Guide to Urban Economics adopts an intuitive, example-driven style and provides clear explanations of fundamental urban economic models along with carefully selected modern topics not found in existing texts. Based on years of classroom experience, this engaging and up-to-date book offers theoretical rigor, an empirical perspective, and policy applications in an approachable introduction to the field.&nbsp; <ul><li> Makes urban economics accessible to undergraduates </li><li> Explains the basic facts and patterns behind the organization of cities </li><li> Covers quantitative spatial models and other recent developments </li><li> Motivates ideas with reference to real world phenomena </li><li> Offers clear mathematical explanations without being overly technical</li></ul>

A Field Guide to Urban Economics

The Hypergrowth Formula that Transformed Tesla, Lululemon, General Motors and SpaceX

The Algorithm

A complete guide to deep neural networks – the technology behind AI – covering fundamental and advanced techniques to apply machine learning in real-world scenarios. Deep Learning Crash Course goes beyond the basics of machine learning to delve into modern techniques and applications of great interest right now, and whose popularity will only grow in the future. The book covers topics such as generative models (the technology behind deep fakes), self-supervised learning, attention mechanisms (the tech behind ChatGPT), graph neural networks (the tech behind AlphaFold), and deep reinforcement learning (the tech behind AlphaGo). This book bridges the gap between theory and practice, helping readers gain the confidence to apply deep learning in their work.

Build AI Models from Scratch (No PhD Required) Deep Learning Crash Course is a fast-paced, thorough introduction that will have you building today’s most powerful AI models from scratch. No experience with deep learning required! Designed for programmers who may be new to deep learning, this book offers practical, hands-on experience, not just an abstract understanding of theory. You’ll start from the basics, and using PyTorch with real datasets, you’ll quickly progress from your first neural network to advanced architectures like convolutional neural networks (CNNs), transformers, diffusion models, and graph neural networks (GNNs). Each project can be run on your own hardware or in the cloud, with annotated code available on GitHub. You’ll build and train models to:&nbsp; <ul><li>Classify and analyze images, sequences, and time series</li><li>Generate and transform data with autoencoders, GANs (generative adversarial networks), and diffusion models</li><li>Process natural language with recurrent neural networks and transformers</li><li>Model molecules and physical systems with graph neural networks</li><li>Improve continuously through reinforcement and active learning</li><li>Predict chaotic systems with reservoir computing</li></ul> Whether you’re an engineer, scientist, or professional developer, you’ll gain fluency in deep learning and the confidence to apply it to ambitious, real-world problems. With Deep Learning Crash Course, you’ll move from using AI tools to creating them.

Deep Learning Crash Course

A groundbreaking bridge between traditional financial theories and emerging interdisciplinary approaches, offering a unique perspective on finance in these uncertain times. From a seasoned expert in finance, behavioral finance, complexity science, and quantum finance. Adaptive Finance is a forward-looking exploration of the evolving world of finance, addressing the most pressing challenges and emerging trends facing financial markets today. It examines how traditional economic and financial models, long dominant in the field, are being redefined by advancements in behavioral science, mathematics, and technology. Financial professionals and academics must confront risks and dynamics that established theories often fail to capture in an era marked by complexity, technological disruption, and global uncertainty. This book provides the intellectual foundation needed to tackle these challenges. The chapters span a wide range of topics—from behavioral finance and causal models to quantum finance and innovations in financial systems—offering a comprehensive view of the forces reshaping finance. The book begins with well-established frameworks and progressively explores cutting-edge concepts, guiding readers through the transformation of financial theory and practice. Each chapter stands on its own, making the book suitable for both comprehensive study and selective reading. The authors present a timely perspective on how finance must adapt to a more complex and dynamic world.

A groundbreaking bridge between traditional financial theories and emerging interdisciplinary approaches, offering a unique perspective on finance in these uncertain times. From a seasoned expert in finance, behavioral finance, complexity science, and quantum finance. Adaptive Finance is a forward-looking exploration of the evolving world of finance, addressing the most pressing challenges and emerging trends facing financial markets today. It examines how traditional economic and financial models, long dominant in the field, are being redefined by advancements in behavioral science, mathematics, and technology. Financial professionals and academics must confront risks and dynamics that established theories often fail to capture in an era marked by complexity, technological disruption, and global uncertainty. This book provides the intellectual foundation needed to tackle these challenges. The chapters span a wide range of topics—from behavioral finance and causal models to quantum finance and innovations in financial systems—offering a comprehensive view of the forces reshaping finance. The book begins with well-established frameworks and progressively explores cutting-edge concepts, guiding readers through the transformation of financial theory and practice. Each chapter stands on its own, making the book suitable for both comprehensive study and selective reading. The authors present a timely perspective on how finance must adapt to a more complex and dynamic world.

Embracing Uncertainty and Complexity

Adaptive Finance

A smart, incisive take-down of so-called 'artificial intelligence', exposing the real harm these technologies do to our jobs, health, society and environment, who stands to gain from them, and how to fight back. 'You need to read this book' BRIAN ENO 'Written with absolute authority and incredible wit and verve' KAREN HAO Have tech companies created artificial minds? Are they going to replace all our jobs? Will they take over the world? The answers to these questions, as the expert authors of The AI Con make clear, are 'no', 'they wish' and 'LOL, definitely not'. In fact, these fears are all symptoms of the hype being used to justify data theft, motivate surveillance capitalism and devalue human creativity in order to replace meaningful work with jobs that treat people like machines. Packed with real-world examples of the injustices and harms already being done in the name of 'AI', The AI Con arms you to spot the hype in all its guises, expose the exploitation it aims to hide and push back against it at work and in your daily life. 'A must-read...provide[s] the clearest picture yet of what AI is, what it is not, and why none of us need to accept it being shoved down our throats' TIMNIT GEBRU 'A powerful antidote to the hype' GRACE BLAKELEY 'Truly eye-opening...indispensable' HA-JOON CHANG 'A book to inoculate your mind' YANIS VAROUFAKIS 'Refreshing...persuasive' GUARDIAN

How to Fight Big Tech’s Hype and Create the Future We Want

The AI Con

AN INSTANT NATIONAL BESTSELLER “Evenhanded and insightful.”&nbsp; —Publisher’s Weekly (starred review) “An accessible, often fascinating primer.... Essential, illuminating reading.” —Kirkus From the author of the New York Times bestseller The Digital Doctor comes an engaging, clear-eyed, and ultimately hopeful examination of healthcare’s efforts to embrace generative artificial intelligence. In A Giant Leap, physician and thought leader Robert Wachter navigates between hype and skepticism to make a compelling case for AI’s power to transform healthcare. He argues that, in a system buckling under the weight of bureaucratic pressures, soaring costs, and clinician burnout, AI doesn’t need to be perfect—it only needs to be better. Drawing on extensive research and more than 100 interviews with pioneers across medicine, technology, policy, and business, Wachter shows how AI is already entering hospitals and clinics to draft notes, field patient questions, recommend treatments, interpret images, and guide surgeries. He unflinchingly confronts risks like hallucinations, biases, and misinformation, while revealing how AI can now match, and sometimes surpass, physicians in areas ranging from diagnosis to empathy. But this isn’t simply a technology story. It’s about the human choices that will determine whether AI becomes healthcare’s salvation or another source of harm and frustration.&nbsp; Blending clinical insight, vivid storytelling, and journalistic precision, A Giant Leap offers an indispensable roadmap for healthcare leaders, clinicians, and patients. It&nbsp;is a vibrant and timely account of how AI is changing what it means to care—and be cared for—in this age of astonishing technology.

AN INSTANT NATIONAL BESTSELLER “Evenhanded and insightful.”&nbsp; —Publisher’s Weekly (starred review) “An accessible, often fascinating primer.... Essential, illuminating reading.” —Kirkus From the author of the New York Times bestseller The Digital Doctor comes an engaging, clear-eyed, and ultimately hopeful examination of healthcare’s efforts to embrace generative artificial intelligence. In A Giant Leap, physician and thought leader Robert Wachter navigates between hype and skepticism to make a compelling case for AI’s power to transform healthcare. He argues that, in a system buckling under the weight of bureaucratic pressures, soaring costs, and clinician burnout, AI doesn’t need to be perfect—it only needs to be better. Drawing on extensive research and more than 100 interviews with pioneers across medicine, technology, policy, and business, Wachter shows how AI is already entering hospitals and clinics to draft notes, field patient questions, recommend treatments, interpret images, and guide surgeries. He unflinchingly confronts risks like hallucinations, biases, and misinformation, while revealing how AI can now match, and sometimes surpass, physicians in areas ranging from diagnosis to empathy. But this isn’t simply a technology story. It’s about the human choices that will determine whether AI becomes healthcare’s salvation or another source of harm and frustration.&nbsp; Blending clinical insight, vivid storytelling, and journalistic precision, A Giant Leap offers an indispensable roadmap for healthcare leaders, clinicians, and patients. It&nbsp;is a vibrant and timely account of how AI is changing what it means to care—and be cared for—in this age of astonishing technology.

How AI Is Transforming Healthcare and What That Means for Our Future

A Giant Leap

***Winner of the Financial Times Business Book of the Year award***UPDATED EDITION WITH A NEW AFTERWORD 'Pulse quickening. A nonfiction thriller - equal parts The China Syndrome&nbsp;and Mission Impossible'&nbsp;New York Times&nbsp; An epic account of the decades-long battle to control the world's most critical resource-microchip technology Power in the modern world - military, economic, geopolitical - is built on a foundation of computer chips. America has maintained its lead as a superpower because it has dominated advances in computer chips and all the technology that chips have enabled. (Virtually everything runs on chips: cars, phones, the stock market, even the electric grid.) Now that edge is in danger of slipping, undermined by the naïve assumption that globalising the chip industry and letting players in Taiwan, Korea and Europe take over manufacturing serves America's interests. Currently, as Chip War reveals, China, which spends more on chips than any other product, is pouring billions into a chip-building Manhattan Project to catch up to the US.&nbsp; In Chip War economic historian Chris Miller recounts the fascinating sequence of events that led to the United States perfecting chip design, and how faster chips helped defeat the Soviet Union (by rendering the Russians' arsenal of precision-guided weapons obsolete). The battle to control this industry will shape our future.&nbsp;China spends more money importing chips than buying oil, and they are China's greatest external vulnerability as they are fundamentally reliant on foreign chips. But with 37 per cent of the global supply of chips being made in Taiwan, within easy range of Chinese missiles, the West's fear is that a solution may be close at hand.&nbsp; 'A riveting history. Features vivid accounts and colourful characters' Financial Times 'Fascinating...A historian by training, Miller walks the reader through decades of semiconductor history - a subject that comes to life thanks to [his] use of colourful anecdotes' Forbes&nbsp; 'Indispensable' Niall Ferguson

The Fight for the World's Most Critical Technology

Chip War

'A profound, intriguing, and important book that reveals as much about human nature as the remarkable power of the brain. Every insight comes to life through real-world examples of the potential and the pitfalls of the hidden patterns all around us. I loved it.' Susie Dent'I was amazed, reading this, how much we overlook the gaps around us... Made me look around my own life and wonder "What have I missed?"' Jeremy Vine'A wide-ranging and engaging guide not only to our blind spots, but to our blind spots about our blind spots. Delightful!' Tim Harford, author of How To Make The World Add Up'An enjoyable look at 'missingness' and how it affects the way we experience the world' The Arts DeskWe all like to think we're making decisions based on reality, but in fact, we're almost always working from incomplete information. And when 'you don't know what you don't know', it can be impossible to navigate successfully.In You Don't Know What You're Missing mathematician Kit Yates explores the blind spots, gaps in our knowledge and how we make sense of the world given we usually have an unfinished picture. From avoiding common traps and pitfalls to filling in the gaps without guessing, it shows us how to turn our misses into hits.

The science of what’s lost, and how to find it

You Don't Know What You're Missing

Dieses Buch zusammen mit den drei weiteren Bänden bietet einen klaren und umfassenden Zugang zur Theoretische Physik des gesamten Bachelorstudiums.
 
Besonderheiten
Theoretische Herleitungen werden verknüpft mit charakteristischen Beispielen, deren Lösungen sowie typischen Anwendungen und klar veranschaulicht in Abbildungen. Die benötigte Mathematik wird im physikalischen Kontext hergeleitet und transparent erklärt.
 
Inhalt
Statistische Gesamtheiten – Identische Teilchen– Konzept der statistischen Gesamtheit – Statistische Definition der Entropie – Statistische Gesamtheiten im Gleichgewicht – Unabhängige identische Teilchen – Statistische Mechanik und Thermodynamik – Kleine Abweichungen vom Gleichgewicht – Das ideale Fermi-Gas – Das ideale Bose-Gas – Reale Gase – Magnetische und elektrische Eigenschaften der Materie – Kinetische Theorien
 
Zielgruppe:
Dieses Buch ist besonders geeignet für Bachelorstudierende im letzten Jahr.
 
Vorkenntnisse
Die mathematischen Voraussetzungen umfassen Kenntnisse in Analysis, Linearer Algebra sowie Funtionentheorie.

Dieses Buch zusammen mit den drei weiteren Bänden bietet einen klaren und umfassenden Zugang zur Theoretische Physik des gesamten Bachelorstudiums.&nbsp;BesonderheitenTheoretische Herleitungen werden verknüpft mit charakteristischen Beispielen, deren Lösungen sowie typischen Anwendungen und klar veranschaulicht in Abbildungen. Die benötigte Mathematik wird im physikalischen Kontext hergeleitet und transparent erklärt.&nbsp;InhaltStatistische Gesamtheiten –&nbsp;Identische Teilchen– Konzept der statistischen Gesamtheit – Statistische Definition der Entropie – Statistische Gesamtheiten im Gleichgewicht – Unabhängige identische Teilchen – Statistische Mechanik und Thermodynamik – Kleine Abweichungen vom Gleichgewicht – Das ideale Fermi-Gas – Das ideale Bose-Gas – Reale Gase – Magnetische und elektrische Eigenschaften der Materie –&nbsp;Kinetische Theorien&nbsp;Zielgruppe
 :
 Dieses Buch ist besonders geeignet für Bachelorstudierende im letzten Jahr.&nbsp;VorkenntnisseDie mathematischen Voraussetzungen umfassen Kenntnisse in Analysis, Linearer Algebra sowie Funtionentheorie.

Quantenstatistik und Thermodynamik

Theoretische Physik kompakt IV

Think Like A Mathematician

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