Problem Book for First Year Calculus PDF Download

Author: George W. Bluman
Publisher: Springer Science & Business Media
ISBN: 1461211328
Category : Mathematics
Languages : en
Pages : 396

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Book Description

Author: Zbigniew H. Nitecki
Publisher: American Mathematical Society
ISBN: 1470466759
Category : Mathematics
Languages : en
Pages : 491

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Book Description
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.

Author: Robert A. Bonic
Publisher:
ISBN:
Category : Calculo
Languages : en
Pages : 486

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Book Description

Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1461300770
Category : Mathematics
Languages : en
Pages : 276

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Book Description
From the reviews "This is a reprint of the original edition of Lang’s ‘A First Course in Calculus’, which was first published in 1964....The treatment is ‘as rigorous as any mathematician would wish it’....[The exercises] are refreshingly simply stated, without any extraneous verbiage, and at times quite challenging....There are answers to all the exercises set and some supplementary problems on each topic to tax even the most able." --Mathematical Gazette

Author: Sherman K. Stein
Publisher: Courier Dover Publications
ISBN: 0486801144
Category : Mathematics
Languages : en
Pages : 644

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Book Description
Introduction to calculus for both undergraduate math majors and those pursuing other areas of science and engineering for whom calculus will be a vital tool. Solutions available as free downloads. 1967 edition.

Author: Gilbert Strang
Publisher:
ISBN: 9781938168062
Category : Calculus
Languages : en
Pages : 824

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Book Description
"Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

Author: Serge Lang
Publisher: Springer Science & Business Media
ISBN: 1441985328
Category : Mathematics
Languages : en
Pages : 741

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Book Description
This 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.

Author: Dennis G. Zill
Publisher: Jones & Bartlett Publishers
ISBN: 144965570X
Category : Mathematics
Languages : en
Pages : 502

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Book Description
Appropriate for the traditional 3-term college calculus course, Calculus: Early Transcendentals, Fourth Edition provides the student-friendly presentation and robust examples and problem sets for which Dennis Zill is known. This outstanding revision incorporates all of the exceptional learning tools that have made Zill's texts a resounding success. He carefully blends the theory and application of important concepts while offering modern applications and problem-solving skills.

Author: Daniel J. Velleman
Publisher: Courier Dover Publications
ISBN: 0486809366
Category : Mathematics
Languages : en
Pages : 737

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Book Description
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.

Author: Clement E. Falbo
Publisher:
ISBN: 9781949473681
Category : Mathematics
Languages : en
Pages : 442

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Book Description
"We own the Calculus." This was a sentiment proclaimed by students who took calculus at the University of Texas as it was taught by Professor R. L. Moore. This book captures the method which facilitates the teaching of students through Inquiry-Based Learning (IBL). It is based on notes taken by the author as a student of Dr. Moore at the University of Texas, Austin, in 1955. It includes Dr. Moore's collection of seminal "problems that teach" -- designed to stimulate creativity and encourage student presentations of their solutions in the classroom. The intention of IBL is to minimize or even eliminate lectures by the instructor and to maximize student participation in the learning process. In the classes taught this way, the students take charge and compete to show their classmates how they solved the problems. The great American mathematician Paul Halmos, says: "The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic or Texas Method." Through the last five or so decades, it has evolved into what is now known as IBL and is being promoted, not only at Texas but through regular classes, summer projects, and workshops at several U. S. Colleges and universities, such as California Polytechnic at San Luis Obispo, University of Nebraska, U.S. Naval Academy, University of Chicago, and other places.