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In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence". What is it that makes Euler's identity, ei + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.

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The winner of the Polari First Book Prize 2023. Having stormed out two years ago, it won't be easy, nor will returning to the haunted river beside the house where words ripple beneath the surface washing up all sorts of memories. Joe turns to his sister, Birdee, the only person who has ever listened. But she can't help him. Then there's Tim Fysh, local fisherman and long-time lover. But reviving their bond is bound to be trouble. As the water settles and Joe learns the truth about the river, he finds that we all have the capability to hate, and that we can all make the choice not to. Ransom's fractured, distinctive prose highlights the beauty and brutality of his story, his extraordinarily vivid sense of place saturates the reader with the wet of the river, and the salty tang of the sea. Autorid: Jon Ransom

Mastering data-intensive systems requires more than traditional programming skills or a focus on hardware. The velocity and variety of modern data create unique design demands that must be addressed from the ground up. This guide approaches these challenges by equipping you with the fundamental knowledge and practical tools needed to make sharp architectural decisions in contemporary, data-driven environments.The core of any data-intensive system is built upon a series of foundational choices. The approach you take to storage, streaming, and scalability shapes the flexibility, reliability, and future growth potential of your applications. These pillars aren't just technical categories; they represent the everyday decisions that determine whether systems will gracefully accommodate surging user demand or collapse under unanticipated stress.The modern landscape is defined by explosive data growth. Applications today generate, receive, and process data from an expanding array of sources, often in real time. Alongside the data deluge, reliability expectations have tightened. Users, teams, and regulators expect uninterrupted service and precise outcomes, regardless of scale. Systems that cannot handle data influx or recover quickly from errors risk downtime, data loss, or even organizational setbacks. This means system failures and capacity shortfalls are no longer minor inconveniences; they can represent significant business risk.To meet these demands, you need a systematic approach to system planning. This guide provides actionable visual tools and decision checklists aimed at identifying and addressing essential design points before performance bottlenecks and outages occur. Visual concept maps break down complex relationships among storage types and streaming mechanisms, giving clarity at every planning stage. Checklists flag critical requirements and edge conditions, helping catch potential flaws early. Failure pattern tables highlight common pitfalls, making diagnostic work more effective when things go wrong.This guide focuses intentionally on core architecture and design fundamentals. It does not cover deep algorithmic tutorials, industry-specific compliance standards, or application-layer user guidance. Instead, each chapter delivers clear, usable frameworks suitable across a broad range of domains and systems. By maintaining this scope, the guide ensures that every visual, checklist, and diagram remains general, practical, and widely applicable.In this guide, you will discover:Definitions and distinctions among functional storage categories, reviewing where block, file, and object storage each excel.Operating principles for streaming data flows, including real-time pipeline mechanics, buffering, and event management.Proven approaches to system scaling, with frameworks for vertical and horizontal growth and clear diagrams illustrating partitioning and replication.Visual concept maps that tie together architecture choices, making system relationships easy to understand.Decision checklists for evaluating durability, consistency, throughput, and scaling capacity at critical design milestones.Failure pattern tables and comparative diagrams to quickly identify and address common bottlenecks or design missteps.Diagnostic templates and reference charts for live evaluation and troubleshooting, so you can adapt strategies as data volumes increase.Explanations of common bottlenecks and clear guides to preventing the most frequent system slowdowns and breakdowns.