Incredible Numbers! vs Learn Thermal Engineering

Selected by Apple as Best of 2014, and winner of the 2015 Digital Book Award for Best Nonfiction App. Bestselling author Professor Ian Stewart is your guide through Incredible Numbers. Numbers define the patterns of sunflowers; they bring pleasure through music; and they help us answer existential questions like; ‘How many ways are there to lace my shoes?’ Interactive examples – from simple equations to a working Enigma machine – put the beautiful concepts behind mathematics at your fingertips. “A measure of Ian Stewart’s success is that he’s able to give a clear path through some very hairy mathematics.” – Times Higher Education Supplement There’s so much more than a few screenshots can show: – 23 articles crafted by Prof. Ian Stewart, embedded with 71 groundbreaking interactive demonstrations. – 23 bespoke interactive sections that let you immerse yourself in the beautiful patterns and concepts behind each topic. – 15 of Ian Stewart’s famous mathematical puzzles. Topics include: • Infinity – Explore infinity and understand what it really means to say something is infinite. • Pi – Unwrap the mysteries of pi to see why this strange number is so important and why it’s not just about circles. • Music – Music and math share the beauty of finding patterns in complexity. Detailed interactives show you how they relate in real, meaningful and fun ways. • Codes – See how the power of numbers can unlock complexity in codes. • Nature – See how numbers work in nature by looking at the Fibonacci sequence and how it appears in the real world in beautiful and surprising ways. • Primes – Discover the mysterious patterns in prime numbers, and why they are so important. • Polygons – Get to grips with shapes and polygons. Classical geometry is just another way to think about numbers! • Factorials – How many ways can you lace your shoes? Did you know that if you have 4 eyelets, there are 24 possible lacing styles? With 12 eyelets there are 479,001,600 possibilities. See why this is so in Factorials! Incredible Numbers aspires to convince you that maths is beautiful. Mathematicians know this already. The great solutions and proofs shine to them, but their underlying beauty has been hidden behind abstract algebra and complex equations. Until now. If you enjoy this app, don’t forget to rate it in the App Store.

Learn Thermal Engineering brings organized lessons, chapter-based quizzes, study notes, and learning progress into one focused educational experience. Explore essential thermal engineering concepts at your own pace, revisit material, and keep track of your studies through a clear, practical interface. EXPLORE STRUCTURED CHAPTERS Navigate 18 chapters, 140 lessons, and 280 quiz questions shown in the app. Lessons are grouped by chapter so you can move through topics in an organized sequence. Open a chapter to see its lessons, reading information, quiz counts, and completion status. Continue reading unfinished material or return to a lesson you have already completed. STUDY THERMAL ENGINEERING CONCEPTS Explore the Introduction to Thermal Engineering, including Basic Concepts of Thermal Engineering, Thermodynamic Systems and Surroundings, Properties of Thermodynamic Systems, Temperature and Thermal Equilibrium, Pressure, Volume and Density, Energy, Work and Heat, and Units and Dimensions in Thermal Engineering. Other visible chapter topics include Thermodynamic Systems and Properties, Zeroth Law and Temperature Measurement, First Law of Thermodynamics, and Properties of Pure Substances. The lesson-based layout lets you focus on one subject at a time and see how your study progresses. PRACTICE WITH LESSON QUIZZES Use quizzes linked to lessons to check your understanding as you study. The My Quizzes screen shows quiz titles, the associated chapter, and question counts. Start an unattempted quiz, see completed status indicators, review your previous score, or choose Retake Quiz to practice again. These features make it simple to return to questions after reading a lesson. FOLLOW YOUR LEARNING PROGRESS See overall completion information, completed lessons, and chapter progress at a glance. Individual lesson cards display completion percentages and reading details, helping you identify what you have finished and what remains. The home screen brings together chapter totals, lesson totals, and quiz totals for a convenient overview of your learning material. BUILD A REGULAR STUDY ROUTINE The Daily Goals area displays lessons completed today, your learning streak, study time, and quiz activity. Use these visible indicators to follow your daily learning activity. A dedicated Schedule section is also available from the app navigation, alongside Home, Search, Progress, Help, and Menu. KEEP STUDY NOTES Use Study Notes and Take Notes while reviewing lessons. Keep important concepts together so you can return to your own notes during future study sessions. Notes sit alongside the learning content rather than requiring a separate study workflow. FIND AND REVIEW TOPICS Browse All Chapters, visit Popular Topics for quick access, or use Search to navigate learning material. The app keeps lessons, quizzes, notes, and progress in distinct sections, making it easier to move between reading, practice, and review. A CLEAR WAY TO LEARN Learn Thermal Engineering is designed around a simple study cycle: explore a chapter, read a lesson, practice its quiz questions, take notes, and check your progress. Follow your own pace, revisit earlier topics, and use completion indicators to guide your next study session. Whether you are beginning with basic concepts or reviewing thermodynamic topics, the app provides an organized place to continue learning. Explore lessons, practice questions, and monitor your progress with Learn Thermal Engineering. LESSON DETAILS AT A GLANCE Chapter screens show reading time, the number of lessons, quiz questions, and a progress bar. Lesson cards distinguish completed work from material still waiting to be read. The quiz list also separates attempted and unattempted quizzes, so you can choose where to practice next. Review the previous score shown for a completed quiz before trying it again. Use these simple details to plan your next reading or practice session without losing sight of your progress. Keep learning.