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

New York City, 1972—A dabbler in mathematics and chess, Catherine Velis is also a computer expert for a Big Eight accounting firm. Before heading off to a new assignment in Algeria, Cat has her palm r

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

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

Give your preschooler a strong computer science foundation with Smart Start: Beginning Coding Stories and Activities. Children will learn important coding concepts with engaging stories and practice activities. Based on the K-12 Computer Science Framework, this dynamic early learning series helps children understand coding concepts to develop a strong foundation in computer science, including computational thinking, problem solving, and critical thinking. Each full-color activity book is organized into eight themed units around one coding concept and includes: - Coding stories that demonstrate what coders do and include an audio read-aloud feature - Concept pages that connect coding concepts to real-world situations - Practice activities that reinforce important coding rules - Review pages for every coding concept practiced - Coding projects with print-based games and puzzles - Mini coding handbook with key terms Computer science concepts and skills help early learners become critical

Give your kindergartner a strong computer science foundation with Smart Start: Beginning Coding Stories and Activities. Children will learn important coding concepts with engaging stories and practice activities. Based on the K-12 Computer Science Framework, this dynamic early learning series helps children understand coding concepts to develop a strong foundation in computer science, including computational thinking, problem solving, and critical thinking. Each full-color activity book is organized into eight themed units around one coding concept and includes: - Coding stories that demonstrate what coders do and include an audio read-aloud feature - Concept pages that connect coding concepts to real-world situations - Practice activities that reinforce important coding rules - Review pages for every coding concept practiced - Coding projects with print-based games and puzzles - Mini coding handbook with key terms Computer science concepts and skills help early learners become critica

Give your first grader a strong computer science foundation with Smart Start: Beginning Coding Stories and Activities. Children will learn important coding concepts with engaging stories and practice activities. Based on the K-12 Computer Science Framework, this dynamic early learning series helps children understand coding concepts to develop a strong foundation in computer science, including computational thinking, problem solving, and critical thinking. Each full-color activity book is organized into eight themed units around one coding concept and includes: - Coding stories that demonstrate what coders do and include an audio read-aloud feature - Concept pages that connect coding concepts to real-world situations - Practice activities that reinforce important coding rules - Review pages for every coding concept practiced - Coding projects with print-based games and puzzles - Mini coding handbook with key terms Computer science concepts and skills help early learners become critical

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

Computer graphics is a vast field that is becoming larger every day. It is impossible to cover every topic of interest, even within a specialization such as CG rendering. For many years, Noriko Kurachi has reported on the latest developments for Japanese readers in her monthly column for CG World. Being something of a pioneer herself, she selected topics that represented original and promising new directions for research. Many of these novel ideas are the topics covered in The Magic of Computer Graphics.Starting from the basic behavior of light, the first section of the book introduces the most useful techniques for global and local illumination using geometric descriptions of an environment. The second section goes on to describe image-based techniques that rely on captured data to do their magic. In the final section, the author looks at the synthesis of these two complementary approaches and what they mean for the future of computer graphics.

Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general. This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continu

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!

Find out about the science of materials, atoms and states of matter through hilarious cartoon stripsComic Strip Science: Chemistry makes learning about the science behind behind materials fun! It covers topics such as different states of matter, changing states, atoms and much more.Each spread in this series features a short, funny comic strip that explains a process or aspect of science. Around the strip, diagrams and panels give further information on the topic. They are a fantastic way to engage children aged 8 plus with science.The illustrator, Jess Bradey, is winner of the 2021 Blue Peter Award for Best Non-Fiction for A Day in the Life of a Poo, Gnu and You and also writes and draws for The Phoneix Comic.Titles in the series: Biology, Chemistry, Earth and Space, Physics.

此書配合108課綱，三民普通型高級中學英文課本內容編寫。是自主學習、課後複習最佳夥伴。本書針對課本的重點：課文、單字片語、句型詳加解析，並搭配專業老師精心編寫的即時練習，讓學習有重點，效率高。 1. Read About It： 逐句講解課本的每課課文文法重點、句構，並提供中文翻譯。 2. Words for Production & Idioms and Phrases： 詳細介紹每課的單字與片語，並提供搭配用法等補充資訊。 3. Learn About Sentence Structures： 說明課本內重點句型的意義與用法，並提供例句及練習，增強理解。 4. 延伸補充FYI： 針對當課相關的額外資訊，彙整成四大類，字詞知識、Usage、字以類聚、Slang & Saying，提高自主學習效率。 5. Give it a shot!： 課文、單字片語、句型的即時練習，加深印象。

Find out about the science of forces, energy, simple machines and more through hilarious cartoon stripsComic Strip Physics makes learning about the science behind forces, energy and simple machines fun!Each spread in this series features a short, funny comic strip that explains a process or aspect of science. Around the strip, diagrams and panels give further information on the topic. They are a fantastic way to engage children aged 8 plus with science.The illustrator, Jess Bradey, is winner of the 2021 Blue Peter Award for Best Non-Fiction for A Day in the Life of a Poo, Gnu and You and also writes and draws for The Phoneix Comic.Titles in the series: Biology, Chemistry, Earth and Space, Physics

Find out about the science of living things through hilarious cartoon stripsComic Strip Biology makes learning about the science behind animals, plants and the human body fun!Each spread in this series features a short, funny comic strip that explains a process or aspect of science. Around the strip, diagrams and panels give further information on the topic. They are a fantastic way to engage children aged 8 plus with science.The illustrator, Jess Bradey, is winner of the 2021 Blue Peter Award for Best Non-Fiction for A Day in the Life of a Poo, Gnu and You and also writes and draws for The Phoneix comic.Titles in the series: Biology, Chemistry, Earth and Space, Physics.

"Surf the web" with Science Comics: Spiders, the latest volume in First Second’s action-packed nonfiction graphic novel series for middle-grade readers!Every volume of Science Comics offers a complete

From astronomy to zoology--500 amazing science facts for kids ages 9 to 12 Do you love dinosaurs and dolphins, mountains and meteors? The Fascinating Science Book for Kids has it all This fun facts book for kids includes 500 stupendous science facts that offer hours of learning for ages 9 to 12. Alongside full-color pictures on every page, you'll find weird and wonderful facts about topics like prehistoric life, the deep sea, weather, minerals, the human body, the solar system--and even your own backyard In this engaging book of facts for kids, you'll learn things like: Scientists have evidence that sometimes tiny diamonds fall from the sky on NEPTUNE. The GIANT SQUID has a brain shaped like a donut. Some BACTERIA species generate electricity when they breathe and can even power a battery. When you're looking for kids science books, The Fascinating Science Book for Kids is the perfect choice for both fun and learning.

Coding for kids without a computer--an offline skill-building book for ages 5 to 7 Coding helps kids develop analytical thinking, problem-solving abilities, and beyond In this exciting guide to coding for kids, your child will discover the core concepts of coding through colorful games and activities--without using a computer. These fun challenges can be done right inside the book or with everyday objects to help kids practice the same skills coders use, like writing clear instructions, recognizing patterns, and working efficiently. There's even a place for your beginner to invent their own codes This coding for kids book features: Coding fundamentals--Practice algorithms, loops, conditionals, optimization, debugging, and variables with games that help kids think like a computer programmer. Meet the coder crew--Explore coding for kids with a whole cast of characters, including Al the helper, Pixel the creative expert, Lo the problem-solver, Bug the pattern-spotter, and their robot dog

Explore the core subject of science in this engaging book from the world of STEMOne of four books in an exciting STEM series for younger children, STEM Junior: Science covers 40 topics from the core s

Energy: Physical Science for Kids from the Picture Book Science series gets kids excited about science!Do you have a lot of energy? What else has energy? Just about everything that moves!When you feel

180 Days of Science for Fifth Grade provides teachers and parents with 180 days of daily practice to build students' science content-area knowledge. The quick, diagnostic-based activities allow busy t

180 Days of Science for Kindergarten provides teachers and parents with 180 days of daily practice to build students' science content-area knowledge. The quick, diagnostic-based activities allow busy

180 Days of Science for First Grade provides teachers and parents with 180 days of daily practice to build students' science content-area knowledge. The quick, diagnostic-based activities allow busy t

180 Days of Science for Fourth Grade provides teachers and parents with 180 days of daily practice to build students' science content-area knowledge. The quick, diagnostic-based activities allow busy

180 Days of Science for Sixth Grade provides teachers and parents with 180 days of daily practice to build students' science content-area knowledge. The quick, diagnostic-based activities allow busy t

180 Days of Science for Second Grade provides teachers and parents with 180 days of daily practice to build students' science content-area knowledge. The quick, diagnostic-based activities allow busy

Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and r

Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus an

Facts and photos provide a contrast between alligator and phythons, comparing their sizes, brain structures, and abilities.Series Information In this innovative science series from favorite nonfiction

The multimillion-copy Paint by Sticker series meets stunning architecture from around the world. Paint by Sticker: Architecture contains everything you need to create 12 totally unique polygon paintings of famous buildings and structures--simply find a sticker (for example, A1), place the sticker in the spot labeled A1 on the corresponding sticker map, and watch your art come to life, sticker by colorful sticker. Create the signature curves of the Sydney Opera House; the impressive spindle-shaped towers of Barcelona's La Sagrada Fam璱ia; the iconic blocklike facade of Habitat 67 in Canada; and more. Plus the card-stock pages are perforated, so every finished piece can be easily removed for gifting or display.

An entertaining collection uncovering the stories of dinosaur discoveries told in comic strips. Discover the story of Mary Anning, why there is a dinosaur called Sue, what the Bone Wars were and much more. This book is sure to entertain children, while giving them an insight into the many challenges and rivalries behind scientific achievements and how scientists learn from mistakes.It is produced by the same team as Comic Strip Science with hilarious comic strips illustrated by award-winning artist Jess Bradley and written by Paul Mason, who is well known for making science learning fun. Key science concepts are pulled out in more depth in feature spreads. The book has a specialist text consulant, paleontologist Dr Dave Hone.Comic Strip Science Adventures is a series of comic books that are perfect for young scientists aged 7 plus. Each book has specialist subject consultants. Titles in the series: Digging for Dinosaurs, Exploring Space, Medical Marvels, Amazing Inventions.

An entertaining collection uncovering amazing stories of space exploration told in comic strips. Discover the history of the first missions to the Moon, how space rovers have adventures, the mystery of a floating poo and much more. This book is sure to entertain children, while giving them an insight into the many challenges and rivalries behind scientific achievements and how scientists learn from mistakes.It is produced by the same team as Comic Strip Science with hilarious comic strips illustrated by award-winning artist Jess Bradley and written by Paul Mason, who is well known for making science learning fun. Key science concepts are pulled out in more depth in feature spreads. The book has a specialist text consultant, Sophie Allan of the National Space Centre.Comic Strip Science Adventures is a series of comic books that are perfect for young scientists aged 7 plus. Each book has specialist subject consultants. Titles in the series: Digging for Dinosaurs, Exploring Space, Medical

Build strong reading comprehension skills with leveled nonfiction texts and comprehension activities! Engage sixth-grade students in high-quality reading comprehension lessons that include texts with a variety of text structures, dictionaries, comprehension activities, writing prompt activities, and more.Teach reading comprehension skills and nonfiction text structures to your sixth-grade students!Choose from 10 units that span a variety of text structures and topics or use them all!Text structures include:Question and answerMain idea and detailsCause and effectCompare and contrastTime orderNonfiction texts in the grade 6 book include a variety of content-area topics:Science:"The Force of Magnetism" Level V"Food Webs in Ecosystems" Level X"Genes for Survival" Level YSocial Studies:"Comparing Rights and Responsibilities" Level X"Ancient Economies" Level YBiography:"Phillis Wheatley: Antislavery Poet" Level V"Colin Powell: An American Leader" Level WHow-to:"How to Grow a Container Garden

Hop to it with Science Comics: Frogs, the next volume of First Second's middle-grade nonfiction series!Every volume of Science Comics offers a complete introduction to a particular topic—dinosaurs, the solar system, volcanoes, bats, robots, and more. Whether you're a fourth grader doing a natural science unit at school or a thirty-year-old with a secret passion for airplanes, these books are for you!With their signature sounds, athletic tongues, and bulging eyes, there’s a lot to love about frogs! But did you know that they soak up air and even liquid through their skin? Or that they use their eyes to swallow food? From tiny tadpoles in water to boisterous bullfrogs on land, the life cycle of these amphibious acrobats is one of the coolest examples of metamorphosis around. So pull up a lily pad and dive in, because the frog facts in this book will truly give you something to croak about!

Find out about the science of the solar system and beyond with hilarious cartoon stripsFind out about the science behind the solar system, the big bang, gravity, black holes and much more with hilarous cartoon strips, facts and diagrams.Each spread in this series features a short, funny comic strip that explains a process or aspect of science. Around the strip, diagrams and panels give further information on the topic. They are a fantastic way to engage children aged 8 plus with science.The illustrator, Jess Bradey, is winner of the 2021 Blue Peter Award for Best Non-Fiction for A Day in the Life of a Poo, Gnu and You and also writes and draws for The Phoneix Comic.Titles in the series: Biology, Chemistry, Earth and Space, Physics.

掌握大考關鍵句型 勇奪高分百分百 1. 介紹關鍵百大句型 將歷屆大考常見重要句型整合為14個單元，說明各句型重點及用法，並搭配例句與練習題，讓你不需強記，就能融會貫通，加以活用！ 2. 延伸關鍵百大句型 針對關鍵百大句型，再延伸補充200個形似或同義句型，讓你觸類旁通，輕鬆享有事半功倍之效！ 3. 附有單元複習評量 各句型皆有對應的練習題，且每單元末皆附複習評量，方便即時自我檢測，讓你真正掌握句型用法，駕輕就熟！

Rocks and minerals come alive in the next Animated Science book, an outstanding comic series illustrated by Shiho Pate!From gemstones to fossils and beyond, Animated Science: Rocks and Minerals is the definitive guide to rocks and minerals for grade school readers. In this book, readers will explore the substances that make up our Earth through comic illustrations and hilarious characters.With a narrative nonfiction text, kid-friendly information, and Shiho Pate's engaging illustrations, Animated Science: Rocks and Minerals is a perfect introduction and ready reference, appealing and laugh-out-loud funny. Easily accessible for readers just learning, with more interesting facts and details for older kids honing their knowledge.Great for all ages!

看漫畫學科普Science Comics新書，以冒險故事的形式，帶讀者深入認識禿鷹、老鷹等擁有利爪、具有速度的掠食性鳥類。除了介紹動物習性、食物鏈位置高低，同時圖文相輔解釋生字。Spread your wings with Science Comics: Birds of Prey, the latest volume of First Second's middle grade nonfiction series!Every volume of Science Comics offers a complete introduction to a particular topic―dinosaurs, the solar system, volcanoes, bats, robots, and more. Whether you're a fourth grader doing a natural science unit at school or a thirty-year-old with a secret passion for airplanes, these books are for you!In this book, you’ll meet some of the world’s most skilled hunters up close and personal, from the majestic eagle to the oft-maligned scavenger vulture! Armed with razor-sharp claws, keen eyesight, powerful wings, and killer instincts, these stealthy predators can make a meal of rodents, fish, snakes, lizards, monkeys, and even kangaroos! Discover how these amazing birds, who are often at the top of the food chain, play an integral role in many different ecosystems around the world.

Vivi loves science! In this STEM-themed Level 3 I Can Read! title, Vivi and her friends visit the aquarium and are introduced to the concepts of density and buoyancy. A great choice for aspiring scientists, emerging readers, and fans of Andrea Beaty's Ada Twist, Scientist. Includes activities, a glossary, and a fun experiment to do at home. Vivi loves science--and experimenting! In this Level 3 I Can Read! title, Vivi and her classmates visit an aquarium and learn about the creatures living in the big display tank. But why do some fish swim while others bury themselves in the sand? Vivi will have to experiment to find out!The Loves Science books introduce readers to girls who love science, as well as basic concepts of science, technology, engineering, and math. This Level 3 I Can Read! explores swimming, sinking, floating, and density, and includes an experiment to try at home. A great pick for newly independent readers and an ideal companion to Cece Loves Science: Push and Pull and Li

BANG! What is G-force? What is a sonic boom? Find out more about the science of fast cars and high speed.High Speed, a Level 4 Reader, is A2 in the CEFR framework and supports YLE Flyers exams. The longer text is made up of sentences with up to three clauses, more complex past and future tense structures, modal verbs and a wider variety of conjunctions.