Mathematics of Discrete Structures for Computer Science

MATCHES THE LATEST EXAM Let us supplement your AP classroom experience with this easy-to-follow study guide The immensely popular 5 Steps to a 5: AP Computer Science A guide has been updated for the 2021-22 school year and now contains: 3 full-length practice exams that reflect the latest examComprehensive overview of the AP Computer Science A exam formatHundreds of practice exercises with thorough answer explanationsTwo full sections devoted to algorithm writing and two levels of sample questions for each Java concept (basic and advanced)Proven strategies specific to each section of the test

A spirited volume on the great adventures of science throughout history, for curious readers of all agesScience is fantastic. It tells us about the infinite reaches of space, the tiniest living organism, the human body, the history of Earth. People have always been doing science because they have always wanted to make sense of the world and harness its power. From ancient Greek philosophers through Einstein and Watson and Crick to the computer-assisted scientists of today, men and women have wondered, examined, experimented, calculated, and sometimes made discoveries so earthshaking that people understood the world-or themselves-in an entirely new way.This inviting book tells a great adventure story: the history of science. It takes readers to the stars through the telescope, as the sun replaces the earth at the center of our universe. It delves beneath the surface of the planet, charts the evolution of chemistry's periodic table, introduces the physics that explain electricity, gravit

Increase student comprehension through in-depth examinations of content-area texts.This comprehensive resource provides teachers with leveled question stems at four different content-areas for student

TRUE STORIES OF DETERMINATION AND DISCOVERY This collection features 25 inspiring tales of women in science, technology, engineering, and math. Read about how these women solved problems, made incredible breakthroughs, and paved the way for future scientists everywhere. Create a computer with mathematician Ada Lovelace. Design a robot with engineer Cynthia Breazeal. And help others with Rebecca Lee Crumpler, the first African American woman to become a doctor of medicine. This book pairs inspiring, easy-to-read text with colorful full-page portraits created by female and nonbinary artists from all around the world. Plus, scannable codes let you listen to longer stories on the Rebel Girls app!

★ 皇家學會科學圖書獎入圍作，最有故事性的數學史鉅作★ 從阿基米德到人工智慧，一口氣看懂微積分如何改變世界★ 沒有微積分，就沒有電腦、GPS、太空旅行與現代科技文明★ 天才、競爭、爭議與革命交織，一本讀來像史詩冒險的科普傑作這是一本把微積分寫得像歷史小說般精采的科普經典。史蒂芬．史卓格茲不只解釋數學，更帶領讀者看見天才們如何用思想改寫世界。從古代幾何到AI時代，本書呈現微積分如何成為現代文明最深層、也最驚人的力量。Shortlisted for the Royal Society Science Book Prize 2019A magisterial history of calculus (and the people behind it) from one of the world's foremost mathematicians. This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel.But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Archimedes to today's breakthroughs in chaos theory and artificial intelligence. Filled with idiosyncratic characters from Pythagoras to Fourier, Infinite Powers is a compelling

Funny and totally true childhood biographies and full-color illustrations tell tales from the challenging yet defining growing-up years of Albert Einstein, Jane Goodall, Marie Curie, and 12 other brilliant scientists.Every great scientist started out as a kid. Before their experiments, inventions, and discoveries that changed the world, the world's most celebrated scientists had regular-kid problems just like you.*Stephen Hawking hated school, and preferred to spend his free time building model airplanes, inventing board games, and even building his own computer.*Jane Goodall got in trouble for bringing worms and snails into her house.*And Neil deGrasse Tyson had to start a dog-walking business to save up money to buy a telescope.Readers ages 8 to 12 years old will learn all the stories of a diverse and inclusive group—also including Temple Grandin, Nikola Tesla, Ada Lovelace, Benjamin Franklin, Isaac Newton, Rosalind Franklin, Sally Ride, Rachel Carson, George Washington Carver, and V

Get ready for a wild ride through PLANET EARTH! This innovative series uses a mysterious scientific process to fuse HILARIOUS COMIC BOOK ACTION with MIND-BLOWING SCIENCE FACTS. It's sure to get a big reaction! Join Prof Katzenstein, the world's greatest scientist-adventurer, on his mission to explore mountain ranges, cloud formations, and crystal structures in this fun-filled, full-color book. The Prof has a passion for discovery and loves all things strange, unexpected, and surprising. Kids will be laughing and gasping in equal measure. - Did you know that around 75% of the Earth's surface is covered by ocean? - Scientists are able to track the movement of tectonic plates using GPS?- The word "ozone" means "smelly" in Greek because the gas has a strong pong? Explore these big ideas-and so many more-in the hilarious series that's like a Dog-Man meets Steven Hawking. It's accessible. engaging, and ideal for children aged 7+. ABOUT THE SERIES: The Professor Kat's Science Facts series fol

Strap in for a thrilling journey through the exciting world of MATHEMATICS! This fast-paced, fun-filled book seamlessly blends COMIC BOOK ACTION with mind-bending MATH FACTS.Embark on a quest with Professor Katzenstein, the world's most intrepid, all-action mathematician, as he unravels the secrets of numbers, patterns, and equations in this vibrant, full-color book. The Prof has a passion for discovery and loves all things strange, unexpected, and surprising - so this exploration of mathematics will be anything but ordinary! - Do you know why your body is like a donut?- Have you ever wondered how many times you can fold a piece of paper?- Have you uncovered the secret mathematics of a sunflower? Get to the bottom of these big ideas and more in this laugh-out-loud series that's a cross between Peanuts and Euclid. This infectiously enthusiastic celebration of mathematics is ideal for inspiring young minds aged 7+. ABOUT THE SERIES: The Professor Kat's Science Facts series follows Profes

From one of our leading chroniclers of the intersection of innovation and capitalism, a landmark reckoning— based on unprecedented access— with one of the world’s most brilliant and driven tech visionaries and his game-changing company.Even by the standard of a tech industry stacked with so-called visionary leaders possessed of the godspark of genius, Demis Hassabis is universally recognized as a special case. Born poor in North London to immigrant parents, a dominant chess prodigy by age five and wizard coder in his teens, he turned down a seven figure offer before he turned 18 to feed his insatiable scientific curiosity at Cambridge. Later, he added a neuroscience PhD to his computer science skills to pursue the dream of artificial general intelligence, his ultimate goal to solve the world’s hardest problems and usher in an era of super-abundance. And along with a small group of fellow travelers around the world, that is the path he is very much still on, winning a Nobel Prize along

Discover how maths is part of our daily lives with Everyday STEM Maths - Amazing Maths. Mathematics is not just working out sums and equations for school - it's all around us and used in everyday situations. From photography and cooking to ballet and fashion design, maths is the building block of everything! Discover how watching rabbits and bees developed into a famous sequence, see the ancient Egyptians apply maths to pyramid building, and meet the inspirational mathematicians who brought numbers and symbols to life, including Marjorie Lee Browne, Archimedes and Maryam Mirzakhani. A "try this at home" section shows readers how maths helps you to read minds and how a sequence can turn you into an artist. With easy-to-understand text written by maths expert Lou Abercrombie, and lots of colourful artworks, photos and diagrams, readers can best explore where we encounter maths and why it's even important at all. The Everyday STEM series makes science relevant to tweens. Instead of tellin

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for first graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on reading, math, language arts, science, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 1st Grade Smart Cards helps kids aged 6 – 7 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that first graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box750 questions and answers covering reading, math, language arts, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new and revised questions t

From hundreds of curriculum-based activities, exercises, and games in every subject to a new technology section, progress map, and stickers, discover the ultimate fourth grade workbook from America's #1 educational bestseller. Loved by kids, teacher approved, and trusted by parents, Brain Quest Grade 4 Workbook reviews and reinforces what children are learning in the classroom in an instantly engaging, entertaining way. Each page is jam packed with fun activities, practice exercises, and games covering vocabulary, language arts, math word problems, multiplication and division, fractions and decimals, geometry and measurement social studies, science, and much more. What's New?Technology section Introduces children to computer science, coding, and logic Updated content Activities and illustrations are revised to reflect the diversity of children, their families, and experiences Support for parents and children Section openers preview upcoming content and provide directions and suggestion

From hundreds of curriculum-based activities, exercises, and games in every subject to a new technology section, progress map, and stickers, discover the ultimate fifth grade workbook from America's #1 educational bestseller. Loved by kids, teacher approved, and trusted by parents, Brain Quest Grade 5 Workbook reviews and reinforces what children are learning in the classroom in an instantly engaging, entertaining way. Each page is jam packed with fun activities, practice exercises, and games covering vocabulary, language arts, math word problems, multiplication and division, fractions and decimals, geometry and measurement, social studies, science, and much more. What's New?Technology section Introduces children to computer science, coding, and logic Updated content Activities and illustrations are revised to reflect the diversity of children, their families, and experiences Support for parents and children Section openers preview upcoming content and provide directions and suggestion

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for second graders everywhere. Loved by kids and teacher approved, and featuring hundreds of questions based on math, language arts, science, social studies, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 2nd Grade Smart Cards helps kids aged 7 – 8 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that second graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,000 questions and answers covering math, language arts, science, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new and re

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for third graders everywhere.​Brain Quest 3rd Grade Smart Cards helps kids aged 8 – 9 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that third graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,000 questions and answers covering math, language arts, science, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content new and revised questions that include recent key cultural and historic eventsRevised historical content with a focus on balance, diversity, and conscious languageBrain Quest decks are:Aligned with common core state st

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for fourth graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on math, science, English, US History, Geography, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 4th Grade Smart Cards helps kids aged 9 – 10 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that fourth graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,500 questions and answers covering math, science, English, US History, Geography, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content wi

It’s fun to be smart! Now updated with a technology section, these illustration-based card decks will make learning exciting for fifth graders everywhere.Loved by kids and teacher approved, and featuring hundreds of questions based on math, science, English, History, Geography, and more to reinforce classroom learning with a fun, fast-paced game.Brain Quest 5th Grade Smart Cards helps kids aged 10 – 11 to learn core classroom subjects in a smart, entertaining, and engaging way. It’s a Q&A game that fifth graders can play with friends, family, or against the clock to test their knowledge. Smart cards feature hundreds of questions with answers to help kids know exactly what they need to know, when they need to know it.Featuring:Two full-color Q&A decks in a reusable flip-top storage box1,500 questions and answers covering math, science, English, History, Geography, and moreWhat’s New?Technology questions that cover computer science, coding, and technologyUpdated content with new

Part of the bestselling Little People, BIG DREAMS series, Alan Turing tells the inspiring story of the father of theoretical computer science and artificial intelligence.In this book from the critically acclaimed, multimillion-copy bestselling Little People, BIG DREAMS series, discover the life of Alan Turing, the genius code cracker and father of theoretical computer science and artificial intelligence.Alan grew up in England, where his best friends were numbers and a little boy called Christopher. When his young friend died, Alan retreated to the world of numbers and codes, where he discovered how to crack the code of the Nazi Enigma machine. This moving book features stylish and quirky illustrations and extra facts at the back, including a biographical timeline with historical photos and a detailed profile of the brilliant mathematician's life.Little People, BIG DREAMS is a bestselling biography series for kids that explores the lives of outstanding people, from designers and artist

'Chemical engineering is the field of applied science that employs physical, chemical, and biological rate processes for the betterment of humanity'. This opening sentence of Chapter 1 has been the underlying paradigm of chemical engineering. Chemical Engineering: An Introduction is designed to enable the student to explore the activities in which a modern chemical engineer is involved by focusing on mass and energy balances in liquid-phase processes. Problems explored include the design of a feedback level controller, membrane separation, hemodialysis, optimal design of a process with chemical reaction and separation, washout in a bioreactor, kinetic and mass transfer limits in a two-phase reactor, and the use of the membrane reactor to overcome equilibrium limits on conversion. Mathematics is employed as a language at the most elementary level. Professor Morton M. Denn incorporates design meaningfully; the design and analysis problems are realistic in format and scope.