A thinking student is an engaged studentSparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guideProvides the what, why, and how of each practice Includes firsthand accounts of how these practices foster thinking Offers a plethora of macro moves, micro moves, and rich tasks to get started Read more

Check out our new title, Introduction to Elementary Math Grades 2 and 3 ISBN 979-8-9888207-1-0. Perfect to get students back up to speed fast. Short, easy-to-understand lessons. Video tutorials taught by the author ensure that students fully understand topics. Students will master the essential math skills that everyone needs to know! Ideal for those who fell behind during the pandemic, or for those who have struggled in the past. Get started now.Math Refresher for Adults is the perfect resource for millions of people. Scroll down to see whyyou may need this book including online video tutorials.The book starts with whole numbers and ends with Algebra 1.There are free online video tutorials taught by the author for each lesson.If you are rusty or behind in math...this book is a life saver. A perfect giftfor any classroom teacher or parent who want to help their kids in math.A great resource for anyone who struggles in the area of math!A Few Reasons Why You May Need This Book:You have a math phobia.Your are a primary teacher who has never had to teach higher level math.You have forgotten most of the math that you learned.You want to be able to help your kids with their homework.You are re-entering the workforce.You are returning to college and will be taking a math placement test.You are applying for a job that requires a math competency test.You are entering a medical or tech field.You need to improve your math skills to advance your career.You are preparing for a GED.You are preparing for the SAT/PSAT.You are preparing for the PRAXIS test.And the list goes on...EVERYONE needs strong math skills!Includes:Basic MathGeometryProblem SolvingPre-Algebra & AlgebraA Math Resource sectionAccess to free video tutorials for each topic Read more

This engaging review guide and workbook is the ideal tool for sharpening your Algebra I skills!This review guide and workbook will help you strengthen your Algebra I knowledge, and it will enable you to develop new math skills to excel in your high school classwork and on standardized tests. Clear and concise explanations will walk you step by step through each essential math concept. 500 practical review questions, in turn, provide extensive opportunities for you to practice your new skills. If you are looking for material based on national or state standards, this book is your ideal study tool!Features:• Aligned to national standards, including the Common Core State Standards, as well as the standards of non-Common Core states and Canada• Designed to help you excel in the classroom and on standardized tests• Concise, clear explanations offer step-by-step instruction so you can easily grasp key concepts• You will learn how to apply Algebra I to practical situations• 500 review questions provide extensive opportunities for you to practice what you’ve learned Read more

Basic algebraic concepts. Useful for any student in pre-algebra and beyond as a reference tool.  Read more

This engaging review guide and workbook is the ideal tool for sharpening your Geometry skills!This review guide and workbook will help you strengthen your Geometry knowledge, and it will enable you to develop new math skills to excel in your high school classwork and on standardized tests. Clear and concise explanations will walk you step by step through each essential math concept. 500 practical review questions, in turn, provide extensive opportunities for you to practice your new skills. If you are looking for material based on national or state standards, this book is your ideal study tool!Features:• Aligned to national standards, including the Common Core State Standards, as well as the standards of non-Common Core states and Canada• Designed to help you excel in the classroom and on standardized tests• Concise, clear explanations offer step-by-step instruction so you can easily grasp key concepts• You will learn how to apply Geometry to practical situations• 500 review questions provide extensive opportunities for you to practice what you’ve learned Read more

All the Math You Needs to Succeed in Algebra IIThis book will help you develop the math skills needed to succeed in the classroom and on standardized tests. The user-friendly pages are filled with easy-to-follow explanations of key algebra II concepts, followed by detailed examples that clearly demonstrate how to solve common problems. Hundreds of practice questions will help you master each concept, sharpen your problem-solving skills, and build confidence.Features include:• Topics aligned with national and state standards for algebra II courses• Content focused on helping you excel in the classroom and on standardized tests• Concise, clear explanations to easily grasp key concepts• Thorough examples that illustrate how to solve typical algebra II questions• More than 500 math problems that provide extensive opportunities to practice your new skills • Helpful appendixes covering matrices and probabilitiesTopics covered:• Linear Equations and Inequalities• Functions• Quadratic Relationships• Complex Numbers• Polynomial Functions• Rational and Irrational Functions• Exponential and Logarithmic Functions• Sequences and Series• Trigonometry • Descriptive Statistics• Inferential Statistics Read more

Each step higher in math studies is crucial to doing well at the next level. Pre-Calc is the gateway to higher level mathematics of which the best degrees and careers are built upon. The core essentials in 6 laminated pages can be used along with your text and lectures, as a review before testing, or as a memory companion that keeps key answers always at your fingertips. The most answers for your money in what students have said is “a must have” study tool. Suggested uses: o Quick Reference – instead of digging into the textbook to find a core answer you need while studying, use the guide to reinforce quickly and repeatedly o Memory – refreshing your memory repeatedly is a foundation of studying, have the core answers handy so you can focus on understanding the concepts o Test Prep – no student should be cramming, but if you are, there is no better tool for that final review Read more

Math History: A Long-Form Mathematics Textbook shows readers how people throughout history thought about math. It discusses what problems they cared about, how they expressed those problems, and how they solved them. It also aims to show the growth of math over time. It examines the problems that gave rise to new fields, the ideas that allowed those fields to flourish, and the theorems and conjectures that propelled them to their modern form. Finally, it communicates the human side of math—the people who impacted it and the world in which they lived, how various cultures differed in their approach, and how the mathematical project has spanned the globe.The first four chapters of this book cover the development of number systems, ancient mathematical methods, the transition to proofs, and axiomatic mathematics with a focus on Euclidean geometry. The final six chapters each track the history of a specific topic. These topics are number theory, algebra, early calculus, modern analysis, topology and combinatorics. It surveys math pretty broadly, but its focus is on the math topics that an undergraduate math major will encounter. The book contains many theorems with their historical proof. Each chapter also includes exercises.Following each chapter is a People's History section which expands the telling of math history to include surveyors, navigators, artists, merchants and student collectives, who developed practical math which anticipated future research.The first appendix is on the history of applied math; the second is a mathematician pronunciation guide; the third is a collection of mathematical quotes; the fourth is a history of math words; the fifth is a history of math symbols; and final appendix is a collection 37 biographical sketches of the many fascinating lives of history's premier mathematicians.More content, including a collection of original sources, may be found at LongFormMath.com. Read more

AUTHOR: Chris McMullen earned his Ph.D. in physics from Oklahoma State University and currently teaches physics at Northwestern State University of Louisiana. He developed the Improve Your Math Fluency series of workbooks to help students become more fluent in basic math skills.WHAT TO EXPECT: This is a workbook designed to offer plenty of practice with essential skills. It is not a textbook designed to teach trigonometry, but a workbook designed to supplement a student’s instruction in trigonometry. Examples and a brief description of the concepts are included to serve as a quick refresher and a guide. If you need more instruction, you should use this workbook in combination with a textbook. The last chapter involves applications of trig identities, which is a challenging topic that will mostly interest more advanced students. A few chapters are intended to help students memorize the trig functions of common angles like 30, 150, or 315 degrees, which will be especially useful for students who may take exams without a calculator (that’s the case with the MCAT and many math and science courses). There may be more practice than many students need, which is much better than having too little practice. Any extra pages may be helpful for teachers or parents with multiple children.DESCRIPTION: This Trigonometry Essentials Practice Workbook with Answers provides ample practice for developing fluency in very fundamental trigonometry skills. Every problem can be answered without a calculator, which is very helpful for students who aren’t allowed to use a calculator. This is the case in some trig and physics courses, as well as some standardized exams (like the MCAT).CONTENTS: This workbook is conveniently divided up into 11 chapters so that students can focus on one trigonometry skill at a time. Skills include the following:converting between degrees and radians;expressing sine, cosine, tangent, secant, cosecant, and cotangent as fractions by looking at right triangles;solving for unknown sides and angles in 45°-45°-90° and 30°-60°-90° right triangles;determining the sine, cosine, tangent, secant, cosecant, and cotangent of multiples of 30° and 45° up to 360° (working with both degrees and radians);practice finding the reference angle for angles in Quadrants II, III, and IV;finding the inverse trig functions;applying the law of sines and the law of cosines to solve for unknown sides and angles in acute and obtuse triangles;solving problems with trig identities (like the angle sum and difference formulas);and solving algebraic equations that feature basic trig functions.EXAMPLES: Each section begins with a few pages of instructions for how to solve the problems followed by some examples. These examples should serve as a useful guide until students are able to solve the problems independently.ANSWERS: Answers to exercises are tabulated at the back of the book. This helps students develop confidence and ensures that students practice correct techniques, rather than practice making mistakes.PHOTOCOPIES: The copyright notice permits parents/teachers who purchase one copy or borrow one copy from a library to make photocopies for their own children/students only. This is very convenient if you have multiple children/students or if a child/student needs additional practice.INTRODUCTION: An introduction describes how parents and teachers can help students make the most of this workbook. Students are encouraged to time and score each page. In this way, they can try to have fun improving on their records, which can help lend them confidence in their math skills. Read more

Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added.The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions.No prerequisites are assumed other than the usual demand for suitable mathematical maturity. The text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.From the reviews of previous editions:Altogether, the text is a didactic masterpiece. ― zbMATHThe determinant-free proofs are elegant and intuitive. ― American Mathematical MonthlyThe most original linear algebra book to appear in years, it certainly belongs in every undergraduate library ― CHOICE Read more

This workbook on ordinary differential equations serves either as a handy supplement to current students or as a useful review for students who have previously studied the material. This book focuses on essential techniques for solving and understanding differential equations. Topics include:first-order differential equationssecond-order differential equationsseparable equationslinear equationshomogeneous equationsexact differential equationsautonomous differential equationsthe Wronskianinitial-value and boundary-value problemsapplications of differential equationspower series solutionsrecurrence relationsLegendre, Chebyshev, Laguerre, and Hermite PolynomialsRodrigues’ formulaand moreThe author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving differential equations. Read more

A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. Requiring only high school algebra as mathematical background, the book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, and a discussion of The Seven Bridges of Konigsberg. Exercises are included at the end of each chapter. "The topics are so well motivated, the exposition so lucid and delightful, that the book's appeal should be virtually universal . . . Every library should have several copies" — Choice. 1976 edition. Read more

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions.New to the Fourth EditionTwo new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applicationsNew material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered onesThrough careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school and higher-level mathematics, enabling students to study more advanced courses in abstract algebra and analysis. Read more

Check out our new title, Introduction to Elementary Math Grades 2 and 3 ISBN 979-8-9888207-1-0. Perfect to get students back up to speed fast. Short, easy-to-understand lessons. Video tutorials taught by the author ensure that students fully understand topics. Students will master the essential math skills that everyone needs to know! Ideal for those who fell behind during the pandemic, or for those who have struggled in the past. Get started now.To avoid issues with third party sellers, we here at Math Essentials recommend that when you purchase this book, be sure that it is shipped and sold by Amazon. Not a third party. This will ensure the best possible customer experience.The ideal Algebra resource, especially for those who have struggled in the past. Includes a thorough review of the most important pre-algebra topics. Each lesson also includes a corresponding video tutorial. After having completed this program, students will be prepared for more advanced math, science, and technology courses.Perfect for those who have struggled in the past. Get started now!Check out our newest titles! Math Essentials Speed Wheel Drills for Addition and Multiplication. Instant recall of number facts make all math much easier. Learn them fast this summer. ISBN 978-1-7345880-7-1 and ISBN 978-1-7345880-8-8Basic Math Skills Rescue Parts 1 and 2. Master all the skills you need to be successful in Algebra 1. Includes video tutorials. ISBN 978-0-578-81771-2 and ISBN 978-0-578-81772-9Algebra Word Problems Made Simple. Master those dreaded algebra word problems the fast easy way. ISBN 978-0-9994433-4-7We now have English, Spanish, and bilingual editions for many of our titles.Don’t wait! Get started now! ABOUT THIS BOOK: This award-winning text is used by tens and tens of thousands of students. Learn to master the essential algebra skills. Written in language that everyone can understand.This is the new completely edited version and includes extra chapter quizzes as well as a handy glossary and resource center.Perfect for students who find math hard and have struggled.Includes award-winning online video tutorials. One for each lesson in the book. No internet? Also available with DVD: ISBN-13: 978-1733501897Lessons are presented in a format that everyone can easily understand.Includes a complete review of Pre-Algebra.Each Lesson flows smoothly and logically to the next.Each lesson is short, concise, and to the point.Lots of examples with step-by-step solutions.Each lesson includes valuable Helpful Hints.Review is built into each lesson.Each lesson includes Problem Solving. This ensures that students will learn to apply their knowledge to real-life-situations.CHAPTERS:Necessary Tools For AlgebraSolving EquationsGraphing & Analyzing Linear EquationsSolving & Graphing InequalitiesSystems of Linear Equations & InequalitiesPolynomialsRational Expressions (Algebraic Fractions)Radical Expressions & GeometryQuadraticsAlgebra Word ProblemsAlso includes "How-To-Use-This Book" sectionChapter ReviewsFinal ExamSolutions For All ProblemsGlossaryResource Center Read more

This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation ­ Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis. Read more

Algebra II for Beginners provides students with the essential tools and skills necessary for success in Algebra II courses. This comprehensive guide includes hundreds of examples, over 1,500 skill-building exercises, and two practice tests to ensure thorough preparation for the Algebra II final exam. It will help improve math abilities, increase confidence, and sharpen problem-solving skills.Algebra II for Beginners offers complete coverage of all Algebra II concepts and aligns with national and state standards. The dynamic design and interactive activities make learning engaging and concrete, while targeted practices build essential skills. All exercise solutions are included, allowing students to check their understanding and progress.This comprehensive textbook for Algebra II is the perfect resource for students looking to review core content, refine their math skills, and achieve their best results on the Algebra II course.Key Features of Algebra II for Beginners:In-Depth Understanding: The book provides the essential tools and skills necessary for success in Algebra II courses, presenting hundreds of examples and over 1,500 skill-building exercises to ensure comprehensive preparation for the Algebra II final exam.Boost Confidence and Skills: This guide is designed to enhance math abilities, increase confidence, and sharpen problem-solving skills, ultimately leading to improved academic performance.Comprehensive Coverage: All Algebra II concepts are thoroughly covered in alignment with national and state standards.Engaging and Interactive: The book's dynamic design and interactive activities make learning engaging and concrete. It turns abstract concepts into tangible knowledge, making learning more enjoyable and effective.Targeted Practices: The book includes targeted practices that help build essential skills. Students can immediately apply what they have learned, thereby reinforcing understanding.Solutions Provided: All exercise solutions are included, allowing students to check their understanding and monitor their progress.Perfect for Review and Refinement: This comprehensive textbook for Algebra II is ideal for students looking to review core content, refine their math skills, and achieve their best results on the Algebra II course.Suitable for Self-Study and Classroom Use: Algebra II for Beginners offers a comprehensive approach to excelling in Algebra II, whether studying individually or being used as a classroom resource.Digital Support: The book includes a unique online resource feature. For each topic covered, a QR code and link are provided, directing to a web page that offers further information, supplementary exercises, and explanatory videos. This digital integration enhances understanding and caters to various learning styles.Full-Length Practice Tests: Two full-length Algebra II practice tests are provided at the end of the book. These tests simulate the format and difficulty of the actual exam, helping students gauge their readiness, identify areas of improvement, and build confidence for their Algebra II final exam.This comprehensive textbook for Algebra II is the perfect resource for students looking to review core content, refine their math skills, and achieve their best results on the Algebra II course.Ideal for both self-study and classroom use, Algebra II for Beginners offers a comprehensive approach to excelling in Algebra II. Read more

The ideas and methods of mathematics, long central to the physical sciences, now play an increasingly important role in a wide variety of disciplines. Analysis provides theorems that prove that results are true and provides techniques to estimate the errors in approximate calculations. The ideas and methods of analysis play a fundamental role in ordinary differential equations, probability theory, differential geometry, numerical analysis, complex analysis, partial differential equations, as well as in most areas of applied mathematics. Read more

In their bestselling title MATHEMATICAL STATISTICS WITH APPLICATIONS, premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a solid foundation in statistical theory while conveying the relevance and importance of the theory in solving practical problems in the real world. The authors' use of practical applications and excellent exercises helps you discover the nature of statistics and understand its essential role in scientific research. With the addition of contributor Brendan Ames, MATHEMATICAL STATISTICS WITH APPLICATIONS now includes an enhanced eTextbook. Simulation activities using interactive applets and R embedded within the MindTap Reader help students visualize statistical concepts, and an appendix introducing students to statistical data analysis using R can be found at the end of the eTextbook. Read more

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions, calculus proofs and infinite cardinality. Read more

The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary. Read more