20 Best Books For Calculus (2023 Update)

The author, chris mcmullen, ph.d., has over twenty years of experience teaching math skills to physics students. he prepared this comprehensive workbook (with full solutions to every problem) to share his strategies for mastering calculus. this workbook covers a variety of essential calculus skills, including: derivatives of polynomials, trig functions, exponentials, and logarithmsthe chain rule, product rule, and quotient rulesecond derivativeshow to find the extreme values of a functionlimits, including l'hopital's ruleantiderivatives of polynomials, trig functions, exponentials, and logarithmsdefinite and indefinite integralstechniques of integration, including substitution, trig sub, and integration by partsmultiple integralsthe goal of this workbook isn't to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects, such as physics or engineering.

This book is for instructors who think that most calculus textbooks are too long. in writing the book, james stewart asked himself: what is essential for a three-semester calculus course for scientists and engineers? essential calculus, second edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. the book is only 900 pages–two-thirds the size of stewart’s other calculus texts, and yet it contains almost all of the same topics. despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in stewart’s other books. essential calculus features the same attention to detail, eye for innovation, and meticulous accuracy that have made stewart’s textbooks the best-selling calculus texts in the world.important notice: media content referenced within the product description or the product text may not be available in the ebook version.

Now available in paperback! an introduction to the calculus, with an excellent balance between theory and technique. integration is treated before differentiation–this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative. proofs of all the important theorems are given, generally preceded by geometric or intuitive discussion. this second edition introduces the mean-value theorems and their applications earlier in the text, incorporates a treatment of linear algebra, and contains many new and easier exercises. as in the first edition, an interesting historical introduction precedes each important new concept.

Earn college credit with rea's test prep for clep* calculus everything you need to pass the exam and get the college credit you deserve. – clep* is the most popular credit-by-examination program in the country, accepted by more than 2,900 colleges and universities. for over 15 years, rea has helped students pass the clep* exam and earn college credit while reducing their tuition costs. – our clep* test preps are perfect for adults returning to college (or attending for the first time), military service members, high-school graduates looking to earn college credit, or home-schooled students with knowledge that can translate into college credit. – there are many different ways to prepare for the clep* exam. what's best for you depends on how much time you have to study and how comfortable you are with the subject matter. our test prep for clep* calculus and the free online tools that come with it, will allow you to create a personalized clep* study plan that can be customized to fit you: your schedule, your learning style, and your current level of knowledge. – here's how it works:diagnostic exam at the rea study center focuses your study – our online diagnostic exam pinpoints your strengths and shows you exactly where you need to focus your study. armed with this information, you can personalize your prep and review where you need it the most. – most complete subject review for clep* calculus – our targeted review covers all the material you'll be expected to know for the exam and includes a glossary of must-know terms. – two full-length practice exams instant score reports help you zero in on the clep* calculus topics that give you trouble now and show you how to arrive at the correct answer-so you'll be prepared on test day. – rea is the acknowledged leader in clep* preparation, with the most extensive library of clep* titles available. our test preps for clep* exams help you earn valuable college credit, save on tuition, and get a head start on your college degree.

For many students, calculus can be the most mystifying and frustrating course they will ever take. the calculus lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it. all of the material in this user-friendly study guide has been proven to get results. the book arose from adrian banner's popular calculus review course at princeton university, which he developed especially for students who are motivated to earn a's but get only average grades on exams. the complete course will be available for free on the web in a series of videotaped lectures. this study guide works as a supplement to any single-variable calculus course or textbook. coupled with a selection of exercises, the book can also be used as a textbook in its own right. the style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. the author elaborates standard course material with scores of detailed examples that treat the reader to an "inner monologue"–the train of thought students should be following in order to solve the problem–providing the necessary reasoning as well as the solution. the book's emphasis is on building problem-solving skills. examples range from easy to difficult and illustrate the in-depth presentation of theory. the calculus lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. it is an indispensable volume for any student seeking to master calculus. serves as a companion to any single-variable calculus textbook informal, entertaining, and not intimidating informative videos that follow the book–a full forty-eight hours of banner's princeton calculus-review course–is available at adrian banner lectures more than 475 examples (ranging from easy to hard) provide step-by-step reasoning theorems and methods justified and connections made to actual practice difficult topics such as improper integrals and infinite series covered in detail tried and tested by students taking freshman calculus

"calculus: a complete course, 10th edition, contains 21 chapters, p and 1-20, plus 6 appendices. it covers the material usually encountered in a three- to five-semester real variable calculus program, involving real-valued functions of a single real variable (differential calculus in chapters 1-4 and integral calculus in chapters 5-8), as well as vector valued functions of a single real variable (covered in chapter 12), real-valued functions of several real variables (in chapters 13-15), and vector-valued functions of several real variables (in chapters 16-18). chapter 9 concerns sequences and series, and its position is rather arbitrary."–

This book is about tensor analysis. it consists of 169 pages. the language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning. this book is about tensor analysis. it consists of 169 pages. the language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning. the author of the book possesses a diverse academic and research background. he holds a beng in electronics engineering, a bsc in physics, a phd in petroleum engineering, a phd in crystallography, and a phd in atomic physics and astronomy. he also worked as a postdoctoral research associate for several years. he published dozens of scientific research papers in many refereed journals as well as producing other academically oriented documents which are freely available on the world wide web.

Cliffsquickreview course guides cover the essentials of your toughest subjects. get a firm grip on core concepts and key material, and test your newfound knowledge with review questions.whether you''re new to limits, derivatives, and integrals or just brushing up on your knowledge of the subject, cliffsquickreview calculus can help. this guide covers calculus topics such as limits at infinity, differential rules, and integration by parts. you''ll also tackle other concepts, including differentiation of inverse trigonometric functions distance, velocity, and acceleration volumes of solids with known cross sections extreme value theorem concavity and points of inflection cliffsquickreview calculus acts as a supplement to your other learning materials. use this reference in any way that fits your personal style for study and review – you decide what works best with your needs. you can flip through the book until you find what you''re looking for – it''s organized to gradually build on key concepts. here are just a few other ways you can search for topics: use the free pocket guide full of essential information. get a glimpse of what you''ll gain from a chapter by reading through the chapter check-in at the beginning of each chapter. use the chapter checkout at the end of each chapter to gauge your grasp of the important information you need to know. test your knowledge more completely in the cqr review and look for additional sources of information in the cqr resource center. tap the glossary to find key terms fast. with titles available for all the most popular high school and college courses, cliffsquickreview guides are comprehensive resources that can help you get the best possible grades.

Active calculus – single variable is a free, open-source calculus text that is designed to support an active learning approach in the standard first two semesters of calculus, including approximately 200 activities and 500 exercises. in the html version, more than 250 of the exercises are available as interactive webwork exercises; students will love that the online version even looks great on a smart phone. each section of active calculus has at least 4 in-class activities to engage students in active learning. normally, each section has a brief introduction together with a preview activity, followed by a mix of exposition and several more activities. each section concludes with a short summary and exercises; the non-webwork exercises are typically involved and challenging. more information on the goals and structure of the text can be found in the preface.

Get ahead in pre-calculus pre-calculus courses have become increasingly popular with 35 percent of students in the u.s. taking the course in middle or high school. often, completion of such a course is a prerequisite for calculus and other upper level mathematics courses. pre-calculus for dummies is an invaluable resource for students enrolled in pre-calculus courses. by presenting the essential topics in a clear and concise manner, the book helps students improve their understanding of pre-calculus and become prepared for upper level math courses. provides fundamental information in an approachable manner includes fresh example problems practical explanations mirror today’s teaching methods offers relevant cultural references whether used as a classroom aid or as a refresher in preparation for an introductory calculus course, this book is one you’ll want to have on hand to perform your very best.

Understanding the abstractions of calculus requires far more than limited exposure. through the 148 sequential lessons in this comprehensive text, future mathematicians, scientists, and engineers will incrementally build and reinforce their knowledge through continual practice and review. following a condensed summary of key algebra, trigonometry, and analytic geometry topics, students explore limits, functions, and the differentiation and integration of variables. this kit includes the student text, testing book, answer key, and a solutions manual with worked solutions to every problem in the textbook. early solutions of each kind contain every step, with later solutions omitting steps considered unnecessary. this kit includes: student text, 758 pages, hardcover. solutions manual, 398 pages, softcover. homeschool testing book, 37 pages, softcover answer key booklet, 130 pages, newsprint

Whether you’re a student or an adult looking to refresh your knowledge, barron’s painless calculus provides review and practice in an easy, step-by-step format. – an essential resource for:virtual learninghomeschoollearning pods – supplementing classes/in-person learning – inside you’ll find:examples of all topics, including limits and continuity, derivatives, curve sketching, definite integrals, and much more – diagrams, charts, and instructive math illustrations – painless tips and common pitfalls – math talk boxes that translate complex “math speak” into easy-to-understand language – brain tickler quizzes throughout each chapter to test your progress

When isaac newton developed calculus in the 1600s, he was trying to tie together math and physics in an intuitive, geometrical way. but over time math and physics teaching became heavily weighted toward algebra, and less toward geometrical problem solving. however, many practicing mathematicians and physicists will get their intuition geometrically first and do the algebra later. make:calculus imagines how newton might have used 3d printed models, construction toys, programming, craft materials, and an arduino or two to teach calculus concepts in an intuitive way. the book uses as little reliance on algebra as possible while still retaining enough to allow comparison with a traditional curriculum. this book is not a traditional calculus i textbook. rather, it will take the reader on a tour of key concepts in calculus that lend themselves to hands-on projects. this book also defines terms and common symbols for them so that self-learners can learn more on their own.

For every student who has ever found the answer to a particular calculus equation elusive or a certain theorem impossible to remember, quickstudy comes to the rescue! this 3-panel (6-page) comprehensive guide offers clear and concise examples, detailed explanations and colorful graphs–all guaranteed to make calculus a breeze! easy-to-use icons help students go right to the equations and problems they need to learn, and call out helpful tips to use and common pitfalls to avoid.

Calculus 2, focusing on integral calculus, is the gateway to higher level mathematics of which the best degrees and careers are built upon. the core essentials 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. suggested uses: * 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 * memory – refreshing your memory repeatedly is a foundation of studying, have the core answers handy so you can focus on understanding the concepts * test prep – no student should be cramming, but if you are, there is no better tool for that final review

Calculus is one of humanity's greatest achievements. with calculus, you can analyze the infinitely large, the infinitely small, and everything in-between. calculus gives you the tools to develop your own mathematics, your own formulas, and, most importantly, your own imagination. calculus is not just a subject. it is an invitation to think differently about the way that the world works. – calculus has a reputation for being a dry, dreary, difficult subject. however, the problem generally lies with tedious, lifeless books that present calculus with all the vigor of a wilted salad. calculus was not discovered as a series of dull proofs about the real number line. it was discovered by curious people who took the time to look at the world in a new way. – calculus from the ground up invites readers to not just read about mathematics but to become active participants–making numbers and symbols the servants of their minds as they grow their imaginations in ways they didn't think possible. – calculus from the ground up isn't your typical mathematics book. it is a guidebook for students to learn not only the bare subject of calculus, but also to discover how its artistry impacts other areas of life. calculus from the ground up includes sections on how to solve impossible problems, how to break problems into manageable sizes, how to develop new mathematical formulas, and even how to live a more ethical life, all through lessons gained from calculus. – about the author – jonathan bartlett is an author, teacher, researcher, and computer programmer. he is passionate about teaching mathematics not only for how it helps students to solve number problems, but for how it trains them to think about problems in new ways. jonathan has spent his years training the intuitions and imaginations of readers, students, developers, engineers, and even theologians. his books have been used in classrooms ranging all the way from princeton university to local homeschool co-ops.

The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of einstein. well, the good news is that you can master calculus. it's not nearly as tough as its mystique would lead you to think. much of calculus is really just very advanced algebra, geometry, and trig. it builds upon and is a logical extension of those subjects. if you can do algebra, geometry, and trig, you can do calculus. calculus for dummies is intended for three groups of readers: students taking their first calculus course – if you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. it covers the most important topics in the first year of calculus: differentiation, integration, and infinite series. students who need to brush up on their calculus to prepare for other studies – if you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, calculus for dummies will give you a thorough, no-nonsense refresher course. adults of all ages who'd like a good introduction to the subject – non-student readers will find the book's exposition clear and accessible. calculus for dummies takes calculus out of the ivory tower and brings it down to earth. this is a user-friendly math book. whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. then, you'll see how the calculus concepts work in concrete examples. all explanations are in plain english, not math-speak. calculus for dummies covers the following topics and more: real-world examples of calculus the two big ideas of calculus: differentiation and integration why calculus works pre-algebra and algebra review common functions and their graphs limits and continuity integration and approximating area sequences and series don't buy the misconception. sure calculus is difficult – but it's manageable, doable. you made it through algebra, geometry, and trigonometry. well, calculus just picks up where they leave off – it's simply the next step in a logical progression.

Calculus is one of humanity's greatest achievements. with calculus, you can analyze the infinitely large, the infinitely small, and everything in-between. calculus gives you the tools to develop your own mathematics, your own formulas, and, most importantly, your own imagination. calculus is not just a subject. it is an invitation to think differently about the way that the world works. – calculus has a reputation for being a dry, dreary, difficult subject. however, the problem generally lies with tedious, lifeless books that present calculus with all the vigor of a wilted salad. calculus was not discovered as a series of dull proofs about the real number line. it was discovered by curious people who took the time to look at the world in a new way. – calculus from the ground up invites readers to not just read about mathematics but to become active participants–making numbers and symbols the servants of their minds as they grow their imaginations in ways they didn't think possible. – calculus from the ground up isn't your typical mathematics book. it is a guidebook for students to learn not only the bare subject of calculus, but also to discover how its artistry impacts other areas of life. calculus from the ground up includes sections on how to solve impossible problems, how to break problems into manageable sizes, how to develop new mathematical formulas, and even how to live a more ethical life, all through lessons gained from calculus. – about the author – jonathan bartlett is an author, teacher, researcher, and computer programmer. he is passionate about teaching mathematics not only for how it helps students to solve number problems, but for how it trains them to think about problems in new ways. jonathan has spent his years training the intuitions and imaginations of readers, students, developers, engineers, and even theologians. his books have been used in classrooms ranging all the way from princeton university to local homeschool co-ops.

Success in your calculus course starts here! james stewart’s calculus texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. with calculus, sixth edition, stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. his patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course! important notice: media content referenced within the product description or the product text may not be available in the ebook version.

Success in your calculus course starts here! james stewart’s calculus texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. with calculus, sixth edition, stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. his patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course! important notice: media content referenced within the product description or the product text may not be available in the ebook version.