Dr. Chris McMullen has taught university physics for almost 20 years in California, Oklahoma, Pennsylvania, and Louisiana. Dr. McMullen is also a math and science author. Dr. McMullen enjoys sharing knowledge and the art of encouraging and engaging students, whether in the classroom or as a writer.

Chris McMullen, Ph.D., the author, has over twenty years of expertise teaching math skills to physics students. He created Essential Calculus Skills Practice Workbook with Full Solutions to share his calculus mastery tactics. This workbook covers a wide range of calculus concepts, including:

• polynomial, trig function, exponential, and logarithmic derivatives
• the product rule, the chain rule, and the quotient rule
• second-order derivatives
• how to discover the limits of a function, including l'Hopital's rule
• polynomial antiderivatives, trig functions, exponentials, and logarithms
• Integration techniques for definite and indefinite integrals, such as substitution, trig sub, and integration by parts numerous integrals

The purpose of Essential Calculus Skills Practice Workbook with Full Solutions is not to cover every possible topic in calculus, but rather to concentrate on the most important abilities required to apply calculus to other courses such as physics or engineering.

Author: Chris McMullen

Link to buy: https://www.amazon.com/Essential-Calculus-Practice-Workbook-Solutions/dp/1941691242/

Ratings: 4.6 out of 5 stars (from 1244 reviews)

Best Sellers Rank: #4,577 in Books

#1 in Children's Advanced Math Books

#1 in Calculus (Books)

Dennis Donovan, M.S. (Westwood, Massachusetts) has been a math teacher at Xaverian Brothers High School for over 25 years, with over 20 years of experience teaching AP Calculus (both AB and BC).

David Bock, M.S. (Ithaca, New York) taught AP Calculus at Ithaca High School for 35 years, was a mathematics instructor at several universities (including Cornell University and Ithaca College), and worked as an Exam Reader for the College Board for several years.

Shirley O. Hockett, M.A. (Ithaca, New York) was a mathematics professor for 45 years, first at Cornell University and then at Ithaca College, where she retired as Professor Emerita. She was both an Exam Reader and a Table Leader for AP Calculus, in addition to earning multiple prizes and producing six mathematics textbooks.

AP Calculus Premium: 2022-2023 contains comprehensive material review as well as online practice for the AB and BC exams. It's the only book you'll need to study for your exams.

Written by Skilled Educators

• Learn from Barron's, where all content is produced and vetted by AP professionals.
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• Sharpen your exam-taking skills with 12 full-length practice tests in the book (four AB practice tests and four BC practice tests, including a diagnostic AB test and a diagnostic BC test to target your studying) plus two more AB practice tests and two more BC practice tests online.
• Improve your understanding with an in-depth review of all Units on the AP Calculus AB and BC Exams.
• At the end of each chapter, there are multiple-choice practice problems to reinforce your understanding.
• Improve your problem-solving abilities with new and revised multiple-choice and free-response practice questions scattered throughout the book, including a chapter devoted to multiple-choice questions and another to free-response practice exercises.

Online Training

• On Barron's Online Learning Hub, you can practice with two full-length AB practice tests and two full-length BC practice tests.
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Author: David Bock, Dennis Donovan and Shirley O. Hockett

Link to buy: https://www.amazon.com/AP-Calculus-Premium-2022-2023-Comprehensive/dp/1506263941/

Ratings: 4.6 out of 5 stars (from 853 reviews)

Best Sellers Rank: #7,932 in Books

#3 in Calculus (Books)

#5 in AP Test Guides

Mark Ryan is the creator and proprietor of The Math Center in Winnetka, Illinois, which provides math and test prep tutoring. He is the author of Calculus Workbook For Dummies, Calculus Essentials For Dummies, and three For Dummies geometry books. Ryan has been teaching middle and high school math since 1989. He currently resides in Evanston, Illinois.

Calculus For Dummies, 2nd Edition makes calculus approachable, even if you're one of the many students who dread it. This tutorial helps you establish a firmer foundation with a solid understanding of the big ideas at work by breaking distinction and integration down into digestible topics. This user-friendly math book walks you through each topic, operation, and solution, explaining the "how" and "why" in plain English rather than math jargon. Real-life calculus isn't quite the monster it's made out to be, thanks to relevant training and practical examples.

Calculus is a mandatory course for many college disciplines, and it can be a substantial obstacle to graduation for students who do not have a strong math foundation. Breaking through that barrier requires seeing calculus for what it is: a tool for investigating how variables interact. Calculus For Dummies, 2nd Edition is the logical extension of the algebra, geometry, and trigonometry subjects you've already completed, and it demonstrates that if you can master those classes, you can conquer calculus.

• Algebra, trigonometry, and precalculus principles are covered.
• Investigates sequences, series, and the graphing of common functions
• Describes how to approximate area using integration.
• Things to remember, things to forget, and things you can't get away with are all included.

Stop being afraid of mathematics and instead learn to enjoy the challenge. With this comprehensive study guide, you'll obtain the knowledge and confidence you need to succeed. Calculus For Dummies, 2nd Edition gives a road map to success as well as the support you'll need to get there.

Author: Mark Ryan

Link to buy: https://www.amazon.com/Calculus-Dummies-Math-Science/dp/1119293499/

Ratings: 4.5 out of 5 stars (from 1281 reviews)

Best Sellers Rank: #9,594 in Books

#3 in Popular & Elementary Pre-Calculus (Books)

#4 in Calculus (Books)

For more than 30 years, Mary Jane Sterling taught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois. She has written multiple books for For Dummies, including Algebra Workbook For Dummies, Algebra II For Dummies, and Algebra II Workbook For Dummies.

Precalculus courses have grown in popularity, with 35% of students in the United States taking the course in middle or high school. Completion of such a course is frequently required as a requirement for calculus and other upper level mathematics courses.

Pre Calculus For Dummies is a fantastic resource for students taking precalculus courses. The book helps students improve their grasp of pre calculus and prepare for upper level math courses by providing the main subjects in a straightforward and succinct manner.

• Provides basic facts in a friendly manner.
• New example problems are included.
• Practical explanations reflect current teaching practices.
• Cultural references are provided.

This book is one you'll want to have on hand, whether as a classroom help or as a refresher in preparation for an introductory calculus course.

Author: Mary Jane Sterling

Link to buy: https://www.amazon.com/Pre-Calculus-Dummies-Mary-Jane-Sterling/dp/1119508770/

Ratings: 4.5 out of 5 stars (from 703 reviews)

Best Sellers Rank: #14,266 in Books

#5 in Popular & Elementary Pre-Calculus (Books)

#6 in Calculus (Books)

Cornell University's Jacob Gould Schurman Professor of Applied Mathematics is STEVEN STROGATZ. He is a well-known teacher and one of the world's most quoted mathematicians, and he has blogged about math for the New York Times and The New Yorker, as well as appearing on Radiolab and Science Friday. He wrote the books Sync and The Joy of x.

We wouldn't have cell phones, television, GPS, or ultrasound without calculus. We wouldn't have discovered Neptune or realized how to put 5,000 music in your pocket.

Though many of us were put off by this important, captivating topic in high school and college, Steven Strogatz's brilliantly inventive, down-to-earth narrative demonstrates that calculus is not about complexity; it is about simplicity. It uses an unreal number—infinity—to solve real-world problems, breaking them down into easier ones and then reassembling the answers into seemingly miraculous solutions.

Infinite Powers tells the story of calculus's founders, beginning with its first glimmers in ancient Greece and continuing up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz explains how this type of math rose to the challenges of each era: how to determine the area of a circle with only sand and a stick; how to explain why Mars sometimes goes "backwards"; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; and how to turn the tide in the AIDS fight.

Calculus, as Strogatz demonstrates, is truly the language of the universe. Infinite Powers makes us marvel at the universe all over again by revealing the fundamentals of that language. It is considered one of the best books on calculus.

Author: Steven Strogatz

Link to buy: https://www.amazon.com/Infinite-Powers-Calculus-Reveals-Universe/dp/0358299284/

Ratings: 4.7 out of 5 stars (from 1593 reviews)

Best Sellers Rank: #13,764 in Books

#6 in Calculus (Books)

#17 in Expeditions & Discoveries World History (Books)

#36 in Applied Mathematics (Books)

The late James Stewart earned his M.S. and Ph.D. from Stanford University and the University of Toronto, respectively. He studied at the University of London and was influenced by Stanford University mathematician George Polya. Dr. Stewart was most recently a professor of mathematics at McMaster University, where he conducted research on harmonic analysis. Dr. Stewart wrote a best-selling calculus textbook series, Calculus, Calculus: Early Transcendentals, and Calculus: Concepts and Contexts, as well as a successful precalculus series.

Your math course success begins here! Calculus: Early Transcendentals books by James Stewart are world-wide best-sellers for a reason: they are straightforward, accurate, and packed with relevant, real-world examples. Stewart conveys not just the utility of calculus to help you achieve technical competence, but also an appreciation for the pure beauty of the topic in Calculus: Early Transcendentals, Eighth Edition. His gentle examples and built-in learning aids will assist you in developing mathematical confidence and achieving your course objectives.

Author: James Stewart

Link to buy: https://www.amazon.com/Calculus-Early-Transcendentals-James-Stewart/dp/1285741552/

Ratings: 4.4 out of 5 stars (from 1465 reviews)

Best Sellers Rank: #18,106 in Books

#8 in Algebra & Trigonometry

#9 in Elementary Algebra (Books)

#9 in Calculus (Books)

Thomas Nield founded Nield Consulting Group and teaches at O'Reilly Media and the University of Southern California. He enjoys making technical stuff understandable and relevant to those who are unfamiliar with it or are scared by it. Thomas gives classes on data analysis, machine learning, mathematical optimization, and practical artificial intelligence on a regular basis.

Learn the arithmetic required for success in data science, machine learning, and statistics. Author Thomas Nield walks you through disciplines such as calculus, probability, linear algebra, and statistics and how they apply to techniques such as linear regression, logistic regression, and neural networks in Essential Math for Data Science. You'll also acquire practical insights into the current status of data science and how to apply those insights to advance your career.

Discover how to:

• Explore important mathematical concepts such as calculus, linear algebra, statistics, and machine learning using Python code and libraries like as SymPy, NumPy, and scikit-learn.
• Understand linear regression, logistic regression, and neural networks in plain English, with little mathematical notation or jargon.
• To interpret p-values and statistical significance, use descriptive statistics and hypothesis testing on a dataset.
• Vector and matrix manipulation, as well as matrix decomposition
• Apply incremental understanding of calculus, probability, statistics, and linear algebra to regression models, including neural networks.
• Navigate a data science career practically, avoiding typical mistakes, assumptions, and prejudices while honing your skill set to stand out in the job market.

Author: Thomas Nield

Link to buy: https://www.amazon.com/Essential-Math-Data-Science-Fundamental/dp/1098102932/

Best Sellers Rank: #24,551 in Books

#5 in Linear Algebra (Books)

#8 in Statistics (Books)

#10 in Calculus (Books)

Stanford University's Felix Bloch Professor of Theoretical Physics is Leonard Susskind. Among his many books are Quantum Mechanics (co-written with Art Friedman) and The Theoretical Minimum (co-written with George Hrabovsky). Art Friedman is a data consultant who previously worked as a software developer for Hewlett-Packard for fifteen years.

Susskind and Friedman present a fun introduction to this famously difficult topic, which aims to comprehend the behavior of subatomic things through mathematical abstractions, in this follow-up to the New York Times best-selling The Theoretical Minimum. Unlike earlier popularizations that avoid the strangeness of quantum mechanics, Quantum Mechanics accepts the total strangeness of quantum logic. The writers provide straightforward explanations of quantum state concepts, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter contains exercises to ensure knowledge of each area. This book, like The Theoretical Minimum, runs concurrently with Susskind's eponymous Stanford University-hosted continuing education course.

Quantum Mechanics, a simple yet rigorous introduction to a notoriously difficult topic, presents a tool kit for amateur scientists to explore physics at their own pace. It is regarded as one of the best books on calculus.

Author: Art Friedman

Link to buy: https://www.amazon.com/Quantum-Mechanics-Theoretical-Leonard-Susskind/dp/0465062903/

Ratings: 4.6 out of 5 stars (from 1560 reviews)

Best Sellers Rank: #36,638 in Books

#2 in Astronomy & Astrophysics

#3 in Magnetism in Physics

#3 in Molecular Physics (Books)

Mark Ryan is the owner of The Math Center in Chicago, Illinois, where he teaches students from pre-algebra to calculus. He wrote Calculus For Dummies and Geometry For Dummies.

Calculus Essentials For Dummies was earlier released under the title Calculus Essentials For Dummies (9780470618356). While this edition has a new Dummies cover and style, the content is identical to the previous release and should not be regarded a new or updated product.

Many schools and universities require students to take at least one math course, with Calculus I being a popular choice. Calculus Essentials For Dummies explains fundamental topics for students who took calculus in high school and wish to revisit the most significant concepts as they prepare for a faster-paced college course. Calculus Essentials For Dummies is free of review and ramp-up material and focuses solely on crucial subjects. From limits and differentiation to integration and infinite series, it presents detailed explanations of essential ideas taught in a standard two-semester high school calculus program or a college level Calculus I course. This guide is also ideal for parents who need to review essential calculus ideas when assisting high school pupils with homework projects, as well as adult learners returning to the classroom who just need a refresher on the core principles.

Author: Mark Ryan

Link to buy: https://www.amazon.com/Calculus-Essentials-Dummies-Mark-Ryan/dp/1119591201/

Ratings: 4.5 out of 5 stars (from 239 reviews)

Best Sellers Rank: #43,428 in Books

#16 in Calculus (Books)

#121 in Math Teaching Materials

W. Michael Kelley is the author of six math books, including The Complete Idiot's Guide to Algebra, Second Edition and The Humongous Book of Calculus Problems. He is a former award-winning calculus teacher. Kelley was named Outstanding High School Mathematics Teacher by the Maryland Council of Teachers of Mathematics and held the title of Most Popular Teacher in his home school for four years. Kelley is also the creator and editor of the website calculus-help.com.

Calculus can only be learned by doing calculus problems. There are plenty of them! And that's exactly what you'll find in The Humongous Book of Calculus Problems: more calculus problems than you could ever imagine—but with a big distinction. W. Michael Kelley, an award-winning calculus teacher, has gone through the entire book and taken copious notes, so you get:

• 1,000 problems with detailed solutions
  
• Annotated annotations throughout the text clarify exactly what is being asked; • Extremely thorough responses (no more skipped steps!)
• Additional explanations that make what's perplexing totally clear
• Links to other puzzles that demonstrate the skills required

Limits, continuity, derivatives, integrals, tangent lines, velocity, acceleration, area, volume, infinite series—even the really difficult things like epsilon-delta proofs and formal Riemann sums—are all included. The book is among the best books on calculus.

Author: W. Michael Kelley

Link to buy: https://www.amazon.com/Humongous-Book-Calculus-Problems-Books/dp/1592575129/

Ratings: out of 5 stars (from reviews)

Best Sellers Rank: #45,231 in Books

#15 in Mathematics Reference (Books)

#26 in Calculus (Books)

#286 in Study Guides (Books)

Stephen D. Abbott is a mathematics professor at Middlebury College. He has twice received Middlebury's Perkins Award for Excellence in Teaching (1998, 2010). His publications include essays on operator theory and functional analysis, robotics algorithmic underpinnings, and the interaction of science, mathematics, and the humanities.

This engaging introductory text introduces students to the benefits of rigorously studying functions of a real variable. In each chapter, informal discussions of the questions that captivate analysts are followed by explicit, but not unduly formal, developments of the techniques required to make sense of them. The text transforms what may be a daunting cascade of definitions and theorems into a logical and interesting flow of ideas 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 student is much better prepared to grasp what constitutes a proper mathematical proof and how to construct one now that he or she is acutely aware of the necessity for rigor.

The central narrative of the second edition has been developed and refined through fifteen years of classroom experience with the first version of Understanding Analysis. Approximately 150 new exercises have been added to a selection of the top exercises from the first edition, and three more project-style parts have been included. Investigations of Euler's computation of ζ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book's seminal results, acting as motivation and payoff for the starting student to learn the analytical methods.

Author: Stephen Abbott

Link to buy: https://www.amazon.com/Understanding-Analysis-Undergraduate-Texts-Mathematics/dp/1493927116/

Ratings: 4.6 out of 5 stars (from 404 reviews)

Best Sellers Rank: #46,646 in Books

#10 in Mathematical Analysis (Books)

#17 in Calculus (Books)

Arthur Benjamin has a PhD from Johns Hopkins University and is a mathematics professor at Harvey Mudd College. He lives in Claremont, California, and is the author of The Secrets of Mental Math.

The Magic of Math is the math book you wish you could have gotten in school. This book revels in key mathematical fields such as arithmetic, algebra, geometry, and calculus, as well as Fibonacci numbers, infinity, and, of course, mathematical magic tricks, using a delightful assortment of examples ranging from ice cream scoops and poker hands to measuring mountains and making magic squares. Arthur Benjamin, known around the world as the "mathemagician," combines mathematics with magic to make the topic appealing to both math fans and math skeptics.

This book contains a delightful joy for readers of all levels. Most magicians do not share their secrets, but Arthur Benjamin demonstrates in The Magic of Math how revealing the mystery behind beautiful mathematical facts makes math even more lovely to behold.

Author: Arthur Benjamin

Link to buy: https://www.amazon.com/Magic-Math-Solving-Figuring-Out/dp/0465096212/

Ratings: 4.5 out of 5 stars (from 307 reviews)

Best Sellers Rank: #104,688 in Books

#7 in Analytic Geometry (Books)

#9 in Combinatorics (Books)

#11 in Mathematical Infinity

Ivan Savov has 17 years of tutoring experience as well as a B.Eng. in electrical engineering, M.Sc. in physics, and Ph.D. in computer science from McGill University. Tutoring taught him that comprehending the relationships between concepts is far more important than memorizing information. It's not so much about how many equations you know as it is about knowing how to get from one to the next. He started Minireference Publishing to start a textbook revolution by creating textbooks that don't stink.

Calculus and mechanics are frequently taught as independent disciplines. That should not be the case. Calculus without mechanics is really uninteresting. Learning mechanics without calculus is a waste of time. No bullshit guide to math and physics blends both courses and emphasizes their fundamental links.

This is the agreement. The author will teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations in 350 pages. This is the only math book you'll need for your first semester of science undergraduate courses.

Each segment covers one idea at the level required for a first-year university course, with succinct, jargon-free instruction on topics in math and physics. Anyone, regardless of mathematical experience, may pick up this book and become adept in calculus and mechanics. No bullshit guide to math and physics is one of the best books on calculus you should read.

Author: Ivan Savov

Link to buy: https://www.amazon.com/No-bullshit-guide-math-physics/dp/0992001005/

Ratings: 4.6 out of 5 stars (from 230 reviews)

Best Sellers Rank: #54,016 in Books

#4 in Physics of Mechanics

#4 in Mechanics

#18 in Calculus (Books)

Jay Cummings believes that learning math has become far too expensive, and he is working to create textbooks that are entertaining to read, highlight the beauty of mathematics, and are significantly less expensive than the competition. He joined the faculty at California State University, Sacramento after getting his PhD from UC San Diego under Ron Graham. His combinatorics study is still ongoing, and he especially appreciates incorporating students in his work. He is enthusiastic about teaching and enjoys creating new courses.

Real Analysis is intended for students. This text offers far more commentary, motivation, and explanation than the conventional definition-theorem-proof-repeat format. The proofs are not brief and are intended to promote economic comprehension. Moreover, dozens of proofs are preceded by "scratch work" or a proof sketch to provide students with a big-picture perspective and an explanation of how they would come up with it on their own. Examples frequently drive the story and challenge the reader's intuition. The book also includes over 200 images to help make the ideas more visible.

The writing is casual, with fascinating historical notes, efforts at humor, and occasional detours into other interesting fields of mathematics. The real numbers, cardinality, sequences, series, the topology of the reals, continuity, differentiation, integration, and sequences and series of functions are all covered in the text.

Each chapter concludes with exercises, and almost all of them include some open questions. The first appendix is a reals construction, and the second is a collection of extra strange and pathological examples from analysis. The author believes that most textbooks are significantly overpriced and is working to remedy this.

Author: Jay Cummings

Link to buy: https://www.amazon.com/Real-Analysis-Long-Form-Mathematics-Textbook/dp/1077254547/

Ratings: 4.7 out of 5 stars (from 345 reviews)

Best Sellers Rank: #56,531 in Books

#11 in Mathematical Analysis (Books)

#20 in Calculus (Books)

Mark Zegarelli, a math tutor and writer with 25 years of experience, takes great pleasure in making complex knowledge understandable — and enjoyable — for normal readers. He is the author of several books, including Logic For Dummies and Basic Math & Pre-Algebra For Dummies.

Many popular undergraduate disciplines, such as pre-med, engineering, and physics, require Calculus II. Calculus II For Dummies provides expert education, advice, and ideas to second semester calculus students to help them grasp the material and ace their tests.

It provides in-depth coverage of integration, including substitution, integration techniques and when to employ them, approximation integration, and improper integrals, in plain English. Calculus II For Dummies also includes introductions to multivariable calculus, differential equations, and numerical analysis, as well as sequences and series. The best part is that it offers practical tasks aimed to simplify and improve understanding of this complicated subject.

• Introduction to integration
• Indefinite integrals
• Intermediate Integration topics
• Infinite series
• Advanced topics
• Practice exercises

Curves have you stumped? Polynomials have you stumped? This Calculus II instruction in plain English will set you straight!

Author: Mark Zegarelli

Link to buy: https://www.amazon.com/Calculus-II-Dummies-Zegarelli/dp/111816170X/

Ratings: 4.6 out of 5 stars (from 352 reviews)

Best Sellers Rank: #48,487 in Books

#16 in Popular & Elementary Pre-Calculus (Books)

#17 in Calculus (Books)