Problem Book for First Year Calculus
Author: George W. Bluman
Publisher: Springer Science & Business Media
Published: 2013-12-01
Total Pages: 396
ISBN-13: 1461211328
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The Humongous Book of Calculus Problems
Author: W. Michael Kelley
Publisher: Penguin
Published: 2013-11-07
Total Pages: 578
ISBN-13: 1615646973
DOWNLOAD EBOOKNow 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
Published: 1965
Total Pages: 164
ISBN-13: 9780805390216
DOWNLOAD EBOOKThis 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.
Published: 2019-01-24
Total Pages: 130
ISBN-13: 1470449625
DOWNLOAD EBOOKThe 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.
Calculus Deconstructed
Author: Zbigniew H. Nitecki
Publisher: American Mathematical Society
Published: 2022-01-11
Total Pages: 491
ISBN-13: 1470466759
DOWNLOAD EBOOKCalculus 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.
Problems in Mathematical Analysis
Author: G. Baranenkov
Publisher:
Published: 1973
Total Pages: 496
ISBN-13:
DOWNLOAD EBOOKSchaum's Outline of Calculus, 6th Edition
Author: Frank Ayres
Publisher: McGraw Hill Professional
Published: 2012-11-16
Total Pages: 548
ISBN-13: 0071795545
DOWNLOAD EBOOKTough 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!
Problem-Solving Through Problems
Author: Loren C. Larson
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 322
ISBN-13: 1461254981
DOWNLOAD EBOOKThis is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.
A First Course in Calculus
Author: Serge Lang
Publisher: Springer Science & Business Media
Published: 2012-09-17
Total Pages: 741
ISBN-13: 1441985328
DOWNLOAD EBOOKThis fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.
Calculus Problems
Author: Marco Baronti
Publisher: Springer
Published: 2016-11-01
Total Pages: 368
ISBN-13: 3319154281
DOWNLOAD EBOOKThis 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.
