Problem Book for First Year Calculus
| Author | : George W. Bluman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 396 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461211328 |
Problem Book For First Year Calculus
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The Humongous Book of Calculus Problems
| Author | : W. Michael Kelley |
| Publisher | : Penguin |
| Total Pages | : 578 |
| Release | : 2013-11-07 |
| Genre | : Mathematics |
| ISBN | : 1615646973 |
Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. --Includes 1,000 problems with comprehensive solutions --Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps --Kelley is a former award-winning calculus teacher
Calculus on Manifolds
| Author | : Michael Spivak |
| Publisher | : Westview Press |
| Total Pages | : 164 |
| Release | : 1965 |
| Genre | : Science |
| ISBN | : 9780805390216 |
This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level.
The Hitchhiker's Guide to Calculus
| Author | : Michael Spivak |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 130 |
| Release | : 2019-01-24 |
| Genre | : Mathematics |
| ISBN | : 1470449625 |
The Hitchhiker's Guide to Calculus begins with a rapid view of lines and slope. Spivak then takes up non-linear functions and trigonometric functions. He places the magnifying glass on curves in the next chapter and effortlessly leads the reader to the idea of derivative. In the next chapter he tackles speed and velocity, followed by the derivative of sine. Maxima and minima are next. Rolle's theorem and the MVT form the core of Chapter 11, "Watching Experts at Play." The Hitchhiker's Guide to Calculus closes with a chapter on the integral, the fundamental theorem, and applications of the integral.
Schaum's Outline of Calculus, 6th Edition
| Author | : Frank Ayres |
| Publisher | : McGraw Hill Professional |
| Total Pages | : 548 |
| Release | : 2012-11-16 |
| Genre | : Study Aids |
| ISBN | : 0071795545 |
Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 1,100 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You’ll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you 1,105 fully solved problems Concise explanations of all calculus concepts Expert tips on using the graphing calculator Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!
Problems in Mathematical Analysis
| Author | : G. Baranenkov |
| Publisher | : |
| Total Pages | : 496 |
| Release | : 1973 |
| Genre | : Mathematical analysis |
| ISBN | : |
Calculus Deconstructed
| Author | : Zbigniew H. Nitecki |
| Publisher | : American Mathematical Society |
| Total Pages | : 491 |
| Release | : 2022-01-11 |
| Genre | : Mathematics |
| ISBN | : 1470466759 |
Calculus Deconstructed is a thorough and mathematically rigorous exposition of single-variable calculus for readers with some previous exposure to calculus techniques but not to methods of proof. This book is appropriate for a beginning Honors Calculus course assuming high school calculus or a "bridge course" using basic analysis to motivate and illustrate mathematical rigor. It can serve as a combination textbook and reference book for individual self-study. Standard topics and techniques in single-variable calculus are presented in context of a coherent logical structure, building on familiar properties of real numbers and teaching methods of proof by example along the way. Numerous examples reinforce both practical and theoretical understanding, and extensive historical notes explore the arguments of the originators of the subject. No previous experience with mathematical proof is assumed: rhetorical strategies and techniques of proof (reductio ad absurdum, induction, contrapositives, etc.) are introduced by example along the way. Between the text and exercises, proofs are available for all the basic results of calculus for functions of one real variable.
Calculus Problems
| Author | : Marco Baronti |
| Publisher | : Springer |
| Total Pages | : 368 |
| Release | : 2016-11-01 |
| Genre | : Mathematics |
| ISBN | : 3319154281 |
This book, intended as a practical working guide for calculus students, includes 450 exercises. It is designed for undergraduate students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, and will greatly benefit anyone seeking a problem-solving approach to calculus. Each chapter starts with a summary of the main definitions and results, which is followed by a selection of solved exercises accompanied by brief, illustrative comments. A selection of problems with indicated solutions rounds out each chapter. A final chapter explores problems that are not designed with a single issue in mind but instead call for the combination of a variety of techniques, rounding out the book’s coverage. Though the book’s primary focus is on functions of one real variable, basic ordinary differential equations (separation of variables, linear first order and constant coefficients ODEs) are also discussed. The material is taken from actual written tests that have been delivered at the Engineering School of the University of Genoa. Literally thousands of students have worked on these problems, ensuring their real-world applicability.
Calculus
| Author | : Morris Kline |
| Publisher | : Courier Corporation |
| Total Pages | : 962 |
| Release | : 2013-05-09 |
| Genre | : Mathematics |
| ISBN | : 0486134768 |
Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.
Calculus: A Rigorous First Course
| Author | : Daniel J. Velleman |
| Publisher | : Courier Dover Publications |
| Total Pages | : 737 |
| Release | : 2017-01-18 |
| Genre | : Mathematics |
| ISBN | : 0486809366 |
Designed for undergraduate mathematics majors, this rigorous and rewarding treatment covers the usual topics of first-year calculus: limits, derivatives, integrals, and infinite series. Author Daniel J. Velleman focuses on calculus as a tool for problem solving rather than the subject's theoretical foundations. Stressing a fundamental understanding of the concepts of calculus instead of memorized procedures, this volume teaches problem solving by reasoning, not just calculation. The goal of the text is an understanding of calculus that is deep enough to allow the student to not only find answers to problems, but also achieve certainty of the answers' correctness. No background in calculus is necessary. Prerequisites include proficiency in basic algebra and trigonometry, and a concise review of both areas provides sufficient background. Extensive problem material appears throughout the text and includes selected answers. Complete solutions are available to instructors.
