Mark Ryan – författare

Based on the seasonal rhythms and festivals of the ancient year, "The Wildwood Tarot" draws its inspiration from pre-Celtic mythology and shamanic mysteries, placing mystical archetypes into a nature-based system rich in shamanic wisdom and forest lore. The archetypal forces of the deck act as both guides and interpreters, taking us on a spiritual, mystical and psychological journey deep into the labyrinth of primal Earth mysteries. To walk among the age-old trees of the wildwood is to journey back in time. In this eye-catching deck, previously known as "The Greenwood Tarot", Mark Ryan and John Matthews reawaken the classic forest archetypes of the Green Man and Woman, the Archer, the Hooded Man and the Blasted Oak. Will Worthington's rich and vivid images bring this ancient world back to life and make it possible to feel the magic and power of the wildwood. The 160-page book comes with a 78 beautifully illustrated tarot cards.

Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be.Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus conceptsExplores sequences, series, and graphing common functionsInstructs you how to approximate area with integrationFeatures things to remember, things to forget, and things you can't get away withStop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.

Business runs on tabular data in databases, spreadsheets, and logs. Crunch that data using deep learning, gradient boosting, and other machine learning techniques.Every organization in the world stores data in tables. Advanced Analytics for Business reveals practical techniques for applying machine learning techniques like deep learning and gradient boosting to your company's rows and columns.Inside Advanced Analytics for Business you'll learn how to:

 

Pick the right machine learning approach for your data Apply deep learning to tabular data Deploy tabular machine learning locally and in the cloud Pipelines to automatically train and maintain a model

This book collects best practices, hard-won tips and tricks, and hands-on techniques for making sense of tabular data using advanced machine learning techniques. Inside, you'll discover how to use XGBoost and LightGBM on tabular data, optimize deep learning libraries like TensorFlow and PyTorch for tabular data, and use cloud tools like Vertex AI to create an automated MLOps pipeline.

Everyday math skills can be painlessly learned and easily mastered, transforming readers from a person who doesn't know the meaning of APR into someone who understands credit card rates. Ryan's guide is broken into sections which review basic arithmetic from fractions to percents.

Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which is both relevant to the needs of modern computer science and rigorous enough for practical application. Improvements to the first edition have been made throughout, with extra and expanded sections on SAT solvers, existential/universal second-order logic, micro-models, programming by contract and total correctness. The coverage of model-checking has been substantially updated. Further exercises have been added. Internet support for the book includes worked solutions for all exercises for teachers, and model solutions to some exercises for students.

Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which is both relevant to the needs of modern computer science and rigorous enough for practical application. Improvements to the first edition have been made throughout, with extra and expanded sections on SAT solvers, existential/universal second-order logic, micro-models, programming by contract and total correctness. The coverage of model-checking has been substantially updated. Further exercises have been added. Internet support for the book includes worked solutions for all exercises for teachers, and model solutions to some exercises for students.

What would you do if you were struck by an enemy bullet in wartime, then realised you were still alive? For most of us, that would be the end of our fight. If we were capable of thought while we tried to cope with the pain, we’d probably hope to be rushed to hospital so that someone could save our lives. But a hundred years ago, in the opening battle of the First World War at Mons, two young men didn’t react like that. Lieutenant Maurice Dease and Private Sidney Godley, born only weeks apart into sharply contrasting worlds, shared the same defiance and steely streak. Without a thought for themselves, they went back into the action for more, sustaining dreadful wounds in the process. One man died, the other lived – pieced back together painstakingly by the Germans, who had taken many casualties of their own while overrunning the British position. Together, and against the odds, Dease and Godley became the first winners of the Victoria Cross in the First World War. Here Mark Ryan uses contemporary documentation and images to tell their astounding, fascinating stories, putting the focus on two genuine and ordinary heroes of the Great War.

Unlocking Constitutional and Administrative Law provides an indispensable foundation in this core law curriculum subject, ensuring that you grasp the main concepts with ease. Containing accessible explanations in clear and precise terms that are easy to understand, it provides an excellent foundation for learning and revising Constitutional and Administrative Law.

The information is clearly presented in a logical structure and the following features support learning, helping you to advance with confidence:

Clear aims and objectives at the beginning of each chapter set out the skills and knowledge you will need to get to grips with the subject Key Facts summaries throughout each chapter allow you to progressively build and consolidate your knowledge Diagrams to aid memory and understanding Cases and judgments are highlighted to help you find them and add them to your notes quickly End-of-chapter summaries provide a useful checklist for each topic Frequent activities and self-test questions are included so you can put your knowledge into practice Glossary of legal terminology clarifies important definitions.

This edition has been fully updated to include discussion of recent changes, issues and developments since the last edition, including an expanded section on Brexit, proposed changes to Judicial review, developments in Wales, Ireland and Scotland, recent Bills raising issues concerning the rule of law, and a new chapter on the constitutional impact of COVID-19.

Unlocking Constitutional and Administrative Law provides an indispensable foundation in this core law curriculum subject, ensuring that you grasp the main concepts with ease. Containing accessible explanations in clear and precise terms that are easy to understand, it provides an excellent foundation for learning and revising Constitutional and Administrative Law.

The information is clearly presented in a logical structure and the following features support learning, helping you to advance with confidence:

Clear aims and objectives at the beginning of each chapter set out the skills and knowledge you will need to get to grips with the subject Key Facts summaries throughout each chapter allow you to progressively build and consolidate your knowledge Diagrams to aid memory and understanding Cases and judgments are highlighted to help you find them and add them to your notes quickly End-of-chapter summaries provide a useful checklist for each topic Frequent activities and self-test questions are included so you can put your knowledge into practice Glossary of legal terminology clarifies important definitions.

This edition has been fully updated to include discussion of recent changes, issues and developments since the last edition, including an expanded section on Brexit, proposed changes to Judicial review, developments in Wales, Ireland and Scotland, recent Bills raising issues concerning the rule of law, and a new chapter on the constitutional impact of COVID-19.

Unlocking Constitutional and Administrative Law provides an indispensable foundation in this core law curriculum subject, ensuring that you grasp the main concepts with ease. Containing accessible explanations in clear and precise terms that are easy to understand, it provides an excellent foundation for learning and revising Constitutional and Administrative Law. The information is clearly presented in a logical structure and the following features support learning, helping you to advance with confidence:Clear aims and objectives at the beginning of each chapter set out the skills and knowledge you will need to get to grips with the subjectKey Facts summaries throughout each chapter allow you to progressively build and consolidate your knowledge Diagrams to aid memory and understanding Cases and judgments are highlighted to help you find them and add them to your notes quicklyEnd-of-chapter summaries provide a useful checklist for each topicFrequent activities and self-test questions are included so you can put your knowledge into practiceGlossary of legal terminology clarifies important definitions.This edition has been fully updated to include discussion of recent changes, issues and developments since the last edition, including an expanded section on Brexit, proposed changes to Judicial review, developments in Wales, Ireland and Scotland, recent Bills raising issues concerning the rule of law, and a new chapter on the constitutional impact of COVID-19.

Unlocking Constitutional and Administrative Law provides an indispensable foundation in this core law curriculum subject, ensuring that you grasp the main concepts with ease. Containing accessible explanations in clear and precise terms that are easy to understand, it provides an excellent foundation for learning and revising Constitutional and Administrative Law. The information is clearly presented in a logical structure and the following features support learning, helping you to advance with confidence:Clear aims and objectives at the beginning of each chapter set out the skills and knowledge you will need to get to grips with the subjectKey Facts summaries throughout each chapter allow you to progressively build and consolidate your knowledge Diagrams to aid memory and understanding Cases and judgments are highlighted to help you find them and add them to your notes quicklyEnd-of-chapter summaries provide a useful checklist for each topicFrequent activities and self-test questions are included so you can put your knowledge into practiceGlossary of legal terminology clarifies important definitions.This edition has been fully updated to include discussion of recent changes, issues and developments since the last edition, including an expanded section on Brexit, proposed changes to Judicial review, developments in Wales, Ireland and Scotland, recent Bills raising issues concerning the rule of law, and a new chapter on the constitutional impact of COVID-19.

Hit the geometry wall? Get up and running with this no-nonsense guide! Does the thought of geometry make you jittery? You're not alone. Fortunately, this down-to-earth guide helps you approach it from a new angle, making it easier than ever to conquer your fears and score your highest in geometry. From getting started with geometry basics to making friends with lines and angles, you'll be proving triangles congruent, calculating circumference, using formulas, and serving up pi in no time. Geometry is a subject full of mathematical richness and beauty. But it's a subject that bewilders many students because it's so unlike the math they've done before—it requires the use of deductive logic in formal proofs. If you're having a hard time wrapping your mind around what that even means, you've come to the right place! Inside, you'll find out how a proof's chain of logic works and even discover some secrets for getting past rough spots along the way. You don't have to be a math genius to grasp geometry, and this book helps you get un-stumped in a hurry! Find out how to decode complex geometry proofsLearn to reason deductively and inductivelyMake sense of angles, arcs, area, and moreImprove your chances of scoring higher in your geometry classThere's no reason to let your nerves get jangled over geometry—your understanding will take new shape with the help of Geometry For Dummies.

Hit the geometry wall? Get up and running with this no-nonsense guide!

Does the thought of geometry make you jittery? You''re not alone. Fortunately, this down-to-earth guide helps you approach it from a new angle, making it easier than ever to conquer your fears and score your highest in geometry. From getting started with geometry basics to making friends with lines and angles, you''ll be proving triangles congruent, calculating circumference, using formulas, and serving up pi in no time.

Geometry is a subject full of mathematical richness and beauty. But it''s a subject that bewilders many students because it''s so unlike the math they''ve done before—it requires the use of deductive logic in formal proofs. If you''re having a hard time wrapping your mind around what that even means, you''ve come to the right place! Inside, you''ll find out how a proof''s chain of logic works and even discover some secrets for getting past rough spots along the way. You don''t have to be a math genius to grasp geometry, and this book helps you get un-stumped in a hurry!

Find out how to decode complex geometry proofs Learn to reason deductively and inductively Make sense of angles, arcs, area, and more Improve your chances of scoring higher in your geometry class

There''s no reason to let your nerves get jangled over geometry—your understanding will take new shape with the help of Geometry For Dummies.

Hit the geometry wall? Get up and running with this no-nonsense guide!

Does the thought of geometry make you jittery? You''re not alone. Fortunately, this down-to-earth guide helps you approach it from a new angle, making it easier than ever to conquer your fears and score your highest in geometry. From getting started with geometry basics to making friends with lines and angles, you''ll be proving triangles congruent, calculating circumference, using formulas, and serving up pi in no time.

Geometry is a subject full of mathematical richness and beauty. But it''s a subject that bewilders many students because it''s so unlike the math they''ve done before—it requires the use of deductive logic in formal proofs. If you''re having a hard time wrapping your mind around what that even means, you''ve come to the right place! Inside, you''ll find out how a proof''s chain of logic works and even discover some secrets for getting past rough spots along the way. You don''t have to be a math genius to grasp geometry, and this book helps you get un-stumped in a hurry!

Find out how to decode complex geometry proofs Learn to reason deductively and inductively Make sense of angles, arcs, area, and more Improve your chances of scoring higher in your geometry class

There''s no reason to let your nerves get jangled over geometry—your understanding will take new shape with the help of Geometry For Dummies.

Slay the calculus monster with this user-friendly guide

Calculus For Dummies, 2nd Edition makes calculus manageable—even if you''re one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you''ll soon learn that real-life calculus isn''t nearly the monster it''s made out to be.

Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It''s the logical extension of the algebra, geometry, and trigonometry you''ve already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win.

Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can''t get away with

Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you''ll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.

Slay the calculus monster with this user-friendly guide

Calculus For Dummies, 2nd Edition makes calculus manageable—even if you''re one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of math-speak. Through relevant instruction and practical examples, you''ll soon learn that real-life calculus isn''t nearly the monster it''s made out to be.

Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It''s the logical extension of the algebra, geometry, and trigonometry you''ve already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win.

Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can''t get away with

Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you''ll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there.

The easy way to conquer calculusCalculus is hard—no doubt about it—and students often need help understanding or retaining the key concepts covered in class. Calculus Workbook For Dummies serves up the concept review and practice problems with an easy-to-follow, practical approach. Plus, you’ll get free access to a quiz for every chapter online.With a wide variety of problems on everything covered in calculus class, you’ll find multiple examples of limits, vectors, continuity, differentiation, integration, curve-sketching, conic sections, natural logarithms, and infinite series. Plus, you’ll get hundreds of practice opportunities with detailed solutions that will help you master the math that is critical for scoring your highest in calculus. Review key conceptsTake hundreds of practice problemsGet access to free chapter quizzes onlineUse as a classroom supplement or with a tutorGet ready to quickly and easily increase your confidence and improve your skills in calculus.

The easy way to conquer calculus

Calculus is hard—no doubt about it—and students often need help understanding or retaining the key concepts covered in class. Calculus Workbook For Dummies serves up the concept review and practice problems with an easy-to-follow, practical approach. Plus, you’ll get free access to a quiz for every chapter online.

With a wide variety of problems on everything covered in calculus class, you’ll find multiple examples of limits, vectors, continuity, differentiation, integration, curve-sketching, conic sections, natural logarithms, and infinite series. Plus, you’ll get hundreds of practice opportunities with detailed solutions that will help you master the math that is critical for scoring your highest in calculus.

Review key concepts Take hundreds of practice problems Get access to free chapter quizzes online Use as a classroom supplement or with a tutor

Get ready to quickly and easily increase your confidence and improve your skills in calculus. 

The easy way to conquer calculus

Calculus is hard—no doubt about it—and students often need help understanding or retaining the key concepts covered in class. Calculus Workbook For Dummies serves up the concept review and practice problems with an easy-to-follow, practical approach. Plus, you’ll get free access to a quiz for every chapter online.

With a wide variety of problems on everything covered in calculus class, you’ll find multiple examples of limits, vectors, continuity, differentiation, integration, curve-sketching, conic sections, natural logarithms, and infinite series. Plus, you’ll get hundreds of practice opportunities with detailed solutions that will help you master the math that is critical for scoring your highest in calculus.

Review key concepts Take hundreds of practice problems Get access to free chapter quizzes online Use as a classroom supplement or with a tutor

Get ready to quickly and easily increase your confidence and improve your skills in calculus. 

Geometry Essentials For Dummies (9781119590446) was previously published as Geometry Essentials For Dummies (9781118068755). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.  Just the critical concepts you need to score high in geometryThis practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams. Get down to the basics — get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonalsConquer proofs with confidence — follow easy-to-grasp instructions for understanding the components of a formal geometry proofTake triangles in strides — learn how to take in a triangle's sides, analyze its angles, work through an SAS proof, and apply the Pythagorean TheoremPolish up on polygons — get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more

Geometry Essentials For Dummies (9781119590446) was previously published as Geometry Essentials For Dummies (9781118068755). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

 

Just the critical concepts you need to score high in geometry

This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams.

Get down to the basics — get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals Conquer proofs with confidence — follow easy-to-grasp instructions for understanding the components of a formal geometry proof Take triangles in strides — learn how to take in a triangle''s sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem Polish up on polygons — get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more

Geometry Essentials For Dummies (9781119590446) was previously published as Geometry Essentials For Dummies (9781118068755). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

 

Just the critical concepts you need to score high in geometry

This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for cramming or doing homework, or as a reference for parents helping kids study for exams.

Get down to the basics — get a handle on the basics of geometry, from lines, segments, and angles, to vertices, altitudes, and diagonals Conquer proofs with confidence — follow easy-to-grasp instructions for understanding the components of a formal geometry proof Take triangles in strides — learn how to take in a triangle''s sides, analyze its angles, work through an SAS proof, and apply the Pythagorean Theorem Polish up on polygons — get the lowdown on quadrilaterals and other polygons: their angles, areas, properties, perimeters, and much more

Calculus Essentials For Dummies (9781119591207) was previously published as Calculus Essentials For Dummies (9780470618356). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.  Many colleges and universities require students to take at least one math course, and Calculus I is often the chosen option. Calculus Essentials For Dummies provides explanations of key concepts for students who may have taken calculus in high school and want to review the most important concepts as they gear up for a faster-paced college course. Free of review and ramp-up material, Calculus Essentials For Dummies sticks to the point with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical two-semester high school calculus class or a college level Calculus I course, from limits and differentiation to integration and infinite series. This guide is also a perfect reference for parents who need to review critical calculus concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.The Essentials For Dummies SeriesDummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.

Calculus Essentials For Dummies (9781119591207) was previously published as Calculus Essentials For Dummies (9780470618356). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

 

Many colleges and universities require students to take at least one math course, and Calculus I is often the chosen option. Calculus Essentials For Dummies provides explanations of key concepts for students who may have taken calculus in high school and want to review the most important concepts as they gear up for a faster-paced college course. Free of review and ramp-up material, Calculus Essentials For Dummies sticks to the point with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical two-semester high school calculus class or a college level Calculus I course, from limits and differentiation to integration and infinite series. This guide is also a perfect reference for parents who need to review critical calculus concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.

The Essentials For Dummies Series Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.

Calculus Essentials For Dummies (9781119591207) was previously published as Calculus Essentials For Dummies (9780470618356). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

 

Many colleges and universities require students to take at least one math course, and Calculus I is often the chosen option. Calculus Essentials For Dummies provides explanations of key concepts for students who may have taken calculus in high school and want to review the most important concepts as they gear up for a faster-paced college course. Free of review and ramp-up material, Calculus Essentials For Dummies sticks to the point with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical two-semester high school calculus class or a college level Calculus I course, from limits and differentiation to integration and infinite series. This guide is also a perfect reference for parents who need to review critical calculus concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.

The Essentials For Dummies Series Dummies is proud to present our new series, The Essentials For Dummies. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have a concise, easy-to-understand review guide that covers an entire course by concentrating solely on the most important concepts. From algebra and chemistry to grammar and Spanish, our expert authors focus on the skills students most need to succeed in a subject.

Make calculus more manageable with simplified instruction and tons of practice Calculus All-in-One For Dummies pairs no-nonsense explanations of calculus content with practical examples and practice problems, so you can untangle the difficult concepts and improve your score in any calculus class. Plus, this book comes with access to chapter quizzes online. Dummies makes differentiation, integration, and everything in between more manageable, so you can crush calculus with confidence. Review the foundational basics, then dive into calc lessons that track your class. This book takes you through a full year of high-school calculus or a first semester of college calculus, only explained more clearly. Work through easy-to-understand lessons on everything in a typical calc classGet the score you want and need on standardized tests like AP CalculusAccess online chapter quizzes for additional practiceUntangle tricky problems and discover clever ways to solve themWith clear definitions, concise explanations, and plenty of helpful information on everything from limits and vectors to integration and curve-sketching, Calculus All-in-One For Dummies is the must-have resource for students who want to review for exams or just need extra help understanding the concepts from class.

Make calculus more manageable with simplified instruction and tons of practice

Calculus All-in-One For Dummies pairs no-nonsense explanations of calculus content with practical examples and practice problems, so you can untangle the difficult concepts and improve your score in any calculus class. Plus, this book comes with access to chapter quizzes online. Dummies makes differentiation, integration, and everything in between more manageable, so you can crush calculus with confidence. Review the foundational basics, then dive into calc lessons that track your class. This book takes you through a full year of high-school calculus or a first semester of college calculus, only explained more clearly.

Work through easy-to-understand lessons on everything in a typical calc class Get the score you want and need on standardized tests like AP Calculus Access online chapter quizzes for additional practice Untangle tricky problems and discover clever ways to solve them

With clear definitions, concise explanations, and plenty of helpful information on everything from limits and vectors to integration and curve-sketching, Calculus All-in-One For Dummies is the must-have resource for students who want to review for exams or just need extra help understanding the concepts from class.

Make calculus more manageable with simplified instruction and tons of practice

Calculus All-in-One For Dummies pairs no-nonsense explanations of calculus content with practical examples and practice problems, so you can untangle the difficult concepts and improve your score in any calculus class. Plus, this book comes with access to chapter quizzes online. Dummies makes differentiation, integration, and everything in between more manageable, so you can crush calculus with confidence. Review the foundational basics, then dive into calc lessons that track your class. This book takes you through a full year of high-school calculus or a first semester of college calculus, only explained more clearly.

Work through easy-to-understand lessons on everything in a typical calc class Get the score you want and need on standardized tests like AP Calculus Access online chapter quizzes for additional practice Untangle tricky problems and discover clever ways to solve them

With clear definitions, concise explanations, and plenty of helpful information on everything from limits and vectors to integration and curve-sketching, Calculus All-in-One For Dummies is the must-have resource for students who want to review for exams or just need extra help understanding the concepts from class.

Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which is both relevant to the needs of modern computer science and rigorous enough for practical application. Improvements to the first edition have been made throughout, with extra and expanded sections on SAT solvers, existential/universal second-order logic, micro-models, programming by contract and total correctness. The coverage of model-checking has been substantially updated. Further exercises have been added. Internet support for the book includes worked solutions for all exercises for teachers, and model solutions to some exercises for students.