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Basic Calculus
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Book Synopsis Learning Basic Calculus by : Alexander Hahn
Download or read book Learning Basic Calculus written by Alexander Hahn and published by Springer Science & Business Media. This book was released on 1998 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory calculus text was developed by the author through his teaching of an honors calculus course at Notre Dame. The book develops calculus, as well as the necessary trigonometry and analytic geometry, from witin the relevant historical context, and yet it is not a textbook in the history of mathematics as such. The notation is modern, and the material is selected to cover the basics of the subject. Special emphasis is placed on pedagogy throughout. Whhile emphasizing the broad applications of the subject, emphasis is placed on the mathematical content of the subject.
Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Basic Calculus of Planetary Orbits and Interplanetary Flight by : Alexander J. Hahn
Download or read book Basic Calculus of Planetary Orbits and Interplanetary Flight written by Alexander J. Hahn and published by Springer Nature. This book was released on 2020-03-14 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories. The remarkable spacecraft missions to the inner and outermost reaches of our solar system have been one of the greatest success stories of modern human history. Much of the underlying mathematical story is presented alongside the astonishing images and extensive data that NASA’s Voyager, NEAR-Shoemaker, Cassini, and Juno missions have sent back to us. First and second year college students in mathematics, engineering, or science, and those seeking an enriching independent study, will experience the mathematical language and methods of single variable calculus within their application to relevant conceptual and strategic aspects of the navigation of a spacecraft. The reader is expected to have taken one or two semesters of the basic calculus of derivatives, integrals, and the role that limits play. Additional prerequisites include knowledge of coordinate plane geometry, basic trigonometry, functions and graphs, including trig, inverse, exponential, and log functions. The discussions begin with the rich history of humanity’s efforts to understand the universe from the Greeks, to Newton and the Scientific Revolution, to Hubble and galaxies, to NASA and the space missions. The calculus of polar functions that plays a central mathematical role is presented in a self-contained way in complete detail. Each of the six chapters is followed by an extensive problem set that deals with and also expands on the concerns of the chapter. The instructor has the flexibility to engage them with greater or lesser intensity. “I have been an aerospace engineer for 39 years and honestly, it would be hard for me to overstate how valuable I believe this book will be to numerous scientific and engineering disciplines and in particular to the future of aerospace engineering ... This book is perfectly crafted to motivate, educate, and prepare the scientists and engineers who wish to reach for the sky and beyond.” —Dr. Mario Zoccoli, Aerospace Engineer, NASA and Lockheed Martin
Download or read book Quick Calculus written by Daniel Kleppner and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quick Calculus 2nd Edition A Self-Teaching Guide Calculus is essential for understanding subjects ranging from physics and chemistry to economics and ecology. Nevertheless, countless students and others who need quantitative skills limit their futures by avoiding this subject like the plague. Maybe that's why the first edition of this self-teaching guide sold over 250,000 copies. Quick Calculus, Second Edition continues to teach the elementary techniques of differential and integral calculus quickly and painlessly. Your "calculus anxiety" will rapidly disappear as you work at your own pace on a series of carefully selected work problems. Each correct answer to a work problem leads to new material, while an incorrect response is followed by additional explanations and reviews. This updated edition incorporates the use of calculators and features more applications and examples. ".makes it possible for a person to delve into the mystery of calculus without being mystified." --Physics Teacher
Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Book Synopsis Basic Multivariable Calculus by : Marsden
Download or read book Basic Multivariable Calculus written by Marsden and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Essential Calculus with Applications by : Richard A. Silverman
Download or read book Essential Calculus with Applications written by Richard A. Silverman and published by Courier Corporation. This book was released on 2013-04-22 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other "precalculus" material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables. Numerous problems and answers, and a newly added section of "Supplementary Hints and Answers," enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline.
Book Synopsis Higher Mathematics for Students of Chemistry and Physics by : Joseph William Mellor
Download or read book Higher Mathematics for Students of Chemistry and Physics written by Joseph William Mellor and published by . This book was released on 1902 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Integral Calculus by : Ulrich L. Rohde
Download or read book Introduction to Integral Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals Defining the natural logarithmic function using calculus Evaluating definite integrals Calculating plane areas bounded by curves Applying basic concepts of differential equations to solve ordinary differential equations With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
Book Synopsis Calculus Made Easy by : Silvanus P. Thompson
Download or read book Calculus Made Easy written by Silvanus P. Thompson and published by St. Martin's Press. This book was released on 2014-03-18 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer. This major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
Book Synopsis A First Course in Calculus by : Serge Lang
Download or read book A First Course in Calculus written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-09-17 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Essential Calculus by : James Stewart
Download or read book Essential Calculus written by James Stewart and published by Cengage Learning. This book was released on 2012-02-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com. 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.
Book Synopsis Calculus in Context by : Alexander J. Hahn
Download or read book Calculus in Context written by Alexander J. Hahn and published by JHU Press. This book was released on 2017-04-15 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new approach to teaching calculus that uses historical examples and draws on applications from science and engineering. Breaking the mold of existing calculus textbooks, Calculus in Context draws students into the subject in two new ways. Part I develops the mathematical preliminaries (including geometry, trigonometry, algebra, and coordinate geometry) within the historical frame of the ancient Greeks and the heliocentric revolution in astronomy. Part II starts with comprehensive and modern treatments of the fundamentals of both differential and integral calculus, then turns to a wide-ranging discussion of applications. Students will learn that core ideas of calculus are central to concepts such as acceleration, force, momentum, torque, inertia, and the properties of lenses. Classroom-tested at Notre Dame University, this textbook is suitable for students of wide-ranging backgrounds because it engages its subject at several levels and offers ample and flexible problem set options for instructors. Parts I and II are both supplemented by expansive Problems and Projects segments. Topics covered in the book include: • the basics of geometry, trigonometry, algebra, and coordinate geometry and the historical, scientific agenda that drove their development • a brief, introductory calculus from the works of Newton and Leibniz • a modern development of the essentials of differential and integral calculus • the analysis of specific, relatable applications, such as the arc of the George Washington Bridge; the dome of the Pantheon; the optics of a telescope; the dynamics of a bullet; the geometry of the pseudosphere; the motion of a planet in orbit; and the momentum of an object in free fall. Calculus in Context is a compelling exploration—for students and instructors alike—of a discipline that is both rich in conceptual beauty and broad in its applied relevance.
Download or read book Calculus written by Lev V. Tarasov and published by . This book was released on 1982-01-01 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Textbook of Integral Calculus and Elementary Differential Equation by : Quddus Khan
Download or read book Textbook of Integral Calculus and Elementary Differential Equation written by Quddus Khan and published by Misha Books. This book was released on 2020-07-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended to serve as as a textbook for undergraduate and honors students. It will be useful to the engineering and management students, and other applied areas. It will also be helpful in preparing for competitive examinations like IAS, IES, NET, PCS, and other higher education exams. Key Features: Basic concepts presented in an easy to understand style, Notes and remarks given at appropriate places, clean and clear figures given for better understanding, includes a large number of solved examples, Exercise questions at the end of each chapter, Presentation of the subject in a natural way.
Book Synopsis Mathematics for Engineers I by : Gerd Baumann
Download or read book Mathematics for Engineers I written by Gerd Baumann and published by Oldenbourg Verlag. This book was released on 2010-10-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematics for Engineers I" gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. In Band I sind die Grundzüge des klassischen Calculus dargestellt. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt. Die vormalig beiliegende CD ist nun online bei Band IV als Zusatzmaterial zum kostenfreien Download verfügbar.
Download or read book Integral Calculus written by Hari Kishan and published by Atlantic Publishers & Dist. This book was released on 2005 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Present Book Integral Calculus Is A Unique Textbook On Integration, Aiming At Providing A Fairly Complete Account Of The Basic Concepts Required To Build A Strong Foundation For A Student Endeavouring To Study This Subject. The Analytical Approach To The Major Concepts Makes The Book Highly Self-Contained And Comprehensive Guide That Succeeds In Making The Concepts Easily Understandable. These Concepts Include Integration By Substitution Method, Parts, Trigonometrical Substitutions And Partial Functions; Integration Of Hyperbolic Functions, Rational Functions, Irrational Functions And Transcendental Functions; Definite Integrals; Reduction Formulae; Beta And Gamma Functions; Determination Of Areas, Lengths, Volumes And Surfaces Of Solids Of Revolution And Many More. All The Elementary Principles And Fundamental Concepts Have Been Explained Rigorously, Leaving No Scope For Illusion Or Confusion. The Focus Throughout The Text Has Been On Presenting The Subject Matter In A Well-Knit Manner And Lucid Style, So That Even A Student With Average Mathematical Skill Would Find It Accessible To Himself. In Addition, The Book Provides Numerous Well-Graded Solved Examples, Generally Set In Various University And Competitive Examinations, Which Will Facilitate Easy Understanding Besides Acquainting The Students With A Variety Of Questions.It Is Hoped That The Book Would Be Highly Useful For The Students And Teachers Of Mathematics. Students Aspiring To Successfully Accomplish Engineering And Also Those Preparing For Various Competitive Examinations Are Likely To Find This Book Of Much Help.
