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Calculus Made Easy

Author : ,

ISBN10 : 1446547728

Publisher : Read Books Ltd

Number of Pages : 426

Category : Mathematics

Viewed : 634


Book Summary: This antiquarian volume contains a concise exposition of elementary calculus, being a very simple introduction to differential and integral calculus. In writing this text the author has aimed to furnish in the most practical and understandable manner, the fundamentals of calculus, specially designed for those with an interest in the topic but with limited previous knowledge and an understandable reticence about beginning their calculus adventure. Written in clear, simple language and full of useful information and clear explanations, this text is ideal for the student and anyone with a desire to advance their mathematical knowledge. The chapters of this volume include: 'To Deliver You From the Preliminary Terrors', 'On Different Degrees of Smallness', 'On Relative Growings', 'Simplest Cases', 'What to do with Constants', 'Successive Differentiation', 'When Time Varies', 'Introducing a Useful Dodge', 'Geometrical Meaning of Differentiation', et cetera. We are republishing this vintage work now complete with a specially commissioned new biography of the author.

Fundamentals of Calculus

Author : Carla C. Morris,Robert M. Stark

ISBN10 : 1119015316

Publisher : John Wiley & Sons

Number of Pages : 368

Category : Mathematics

Viewed : 1362


Book Summary: Features the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences An introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. Practical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. In addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section. Fundamentals of Calculus chapter coverage includes: Linear Equations and Functions The Derivative Using the Derivative Exponents and Logarithms Differentiation Techniques Integral Calculus Integrations Techniques Functions of Several Variables Series and Summations Applications to Probability Supplemented with online instructional support materials, Fundamentals of Calculus is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.

Introduction to Integral Calculus

Author : Ulrich L. Rohde,G. C. Jain,Ajay K. Poddar,A. K. Ghosh

ISBN10 : 1118130332

Publisher : John Wiley & Sons

Number of Pages : 432

Category : Mathematics

Viewed : 467


Book Summary: An accessible introduction to the fundamentals of calculusneeded to solve current problems in engineering and the physicalsciences I ntegration is an important function of calculus, andIntroduction to Integral Calculus combines fundamental conceptswith scientific problems to develop intuition and skills forsolving mathematical problems related to engineering and thephysical sciences. The authors provide a solid introduction tointegral calculus and feature applications of integration,solutions of differential equations, and evaluation methods. Withlogical organization coupled with clear, simple explanations, theauthors reinforce new concepts to progressively build skills andknowledge, and numerous real-world examples as well as intriguingapplications help readers to better understand the connectionsbetween the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed tounderstand the principles of integral calculus and explore suchtopics as anti-derivatives, methods of converting integrals intostandard form, and the concept of area. Next, the authors reviewnumerous methods and applications of integral calculus,including: Mastering and applying the first and second fundamental theoremsof 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 solveordinary differential equations With this book as their guide, readers quickly learn to solve abroad range of current problems throughout the physical sciencesand engineering that can only be solved with calculus. Examplesthroughout provide practical guidance, and practice problems andexercises allow for further development and fine-tuning of variouscalculus skills. Introduction to Integral Calculus is an excellentbook for upper-undergraduate calculus courses and is also an idealreference for students and professionals who would like to gain afurther understanding of the use of calculus to solve problems in asimplified manner.

Advanced Calculus

Author : James J. Callahan

ISBN10 : 9781441973320

Publisher : Springer Science & Business Media

Number of Pages : 526

Category : Mathematics

Viewed : 1350


Book Summary: With a fresh geometric approach that incorporates more than 250 illustrations, this textbook sets itself apart from all others in advanced calculus. Besides the classical capstones--the change of variables formula, implicit and inverse function theorems, the integral theorems of Gauss and Stokes--the text treats other important topics in differential analysis, such as Morse's lemma and the Poincaré lemma. The ideas behind most topics can be understood with just two or three variables. The book incorporates modern computational tools to give visualization real power. Using 2D and 3D graphics, the book offers new insights into fundamental elements of the calculus of differentiable maps. The geometric theme continues with an analysis of the physical meaning of the divergence and the curl at a level of detail not found in other advanced calculus books. This is a textbook for undergraduates and graduate students in mathematics, the physical sciences, and economics. Prerequisites are an introduction to linear algebra and multivariable calculus. There is enough material for a year-long course on advanced calculus and for a variety of semester courses--including topics in geometry. The measured pace of the book, with its extensive examples and illustrations, make it especially suitable for independent study.

Calculus With Applications

Author : Peter D. Lax,Maria Shea Terrell

ISBN10 : 1461479460

Publisher : Springer Science & Business Media

Number of Pages : 503

Category : Mathematics

Viewed : 1240


Book Summary: Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.

Calculus for the Life Sciences

Author : Raymond N. Greenwell,Nathan P. Ritchey,Margaret L. Lial

ISBN10 : 0321964454

Publisher : Pearson

Number of Pages : 896

Category : Mathematics

Viewed : 315


Book Summary: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Calculus for the Life Sciences 2/e , features interesting, relevant applications that motivate students and highlight the utility of mathematics for the life sciences. This edition also features new ways to engage students with the material, such as Your Turn exercises.


Author : Dinesh Khattar,Kavita Gupta

ISBN10 : 8120353609

Publisher : PHI Learning Pvt. Ltd.

Number of Pages : 400

Category : Mathematics

Viewed : 1773


Book Summary: Written from examination point of view, this textbook provides the basic concepts of calculus to the undergraduate students of all disciplines (Honours courses) other than Mathematics (Hons.) of all Central Universities of India following Choice Based Credit System (CBCS) including University of Delhi. The text follows a student-centric approach which communicates the practical aspects of Mathematics in such a way that it drives out the common fear of learning any mathematical subject. The concepts are properly supported by illustrations followed by several varied types of examples to provide students an integrated view of theory and applications. There are about four hundred examples in this book and the concepts are explained geometrically through numerous figures. A large number of self-practice problems with hints and answers have been added in each chapter to enable students to learn. Most of the questions conform to the examination-style universities of Indian. SALIENT FEATURES • Gives step by step procedure of solving worked problems for better understanding • Includes Chapter Objectives at the beginning of each chapter. • Familiarizes students with the basic techniques of calculus used in analysing the behaviour of a function.

A Course in Calculus and Real Analysis

Author : Sudhir R. Ghorpade,Balmohan V. Limaye

ISBN10 : 0387364250

Publisher : Springer Science & Business Media

Number of Pages : 432

Category : Mathematics

Viewed : 724


Book Summary: This book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which emphasizes the structural development of calculus. Throughout, the authors highlight the fact that calculus provides a firm foundation to concepts and results that are generally encountered in high school and accepted on faith; for example, the classical result that the ratio of circumference to diameter is the same for all circles. A number of topics are treated here in considerable detail that may be inadequately covered in calculus courses and glossed over in real analysis courses.

Best Practices for Flipping the College Classroom

Author : Julee B. Waldrop,Melody A. Bowdon

ISBN10 : 1317693787

Publisher : Routledge

Number of Pages : 166

Category : Education

Viewed : 488


Book Summary: Best Practices for Flipping the College Classroom provides a comprehensive overview and systematic assessment of the flipped classroom methodology in higher education. The book: Reviews various pedagogical theories that inform flipped classroom practice and provides a brief history from its inception in K–12 to its implementation in higher education. Offers well-developed and instructive case studies chronicling the implementation of flipped strategies across a broad spectrum of academic disciplines, physical environments, and student populations. Provides insights and suggestions to instructors in higher education for the implementation of flipped strategies in their own courses by offering reflections on learning outcomes and student success in flipped classrooms compared with those employing more traditional models and by describing relevant technologies. Discusses observations and analyses of student perceptions of flipping the classroom as well as student practices and behaviors particular to flipped classroom models. Illuminates several research models and approaches for use and modification by teacher-scholars interested in building on this research on their own campuses. The evidence presented on the flipped classroom methodology by its supporters and detractors at all levels has thus far been almost entirely anecdotal or otherwise unreliable. Best Practices for Flipping the College Classroom is the first book to provide faculty members nuanced qualitative and quantitative evidence that both supports and challenges the value of flipping the college classroom.

Calculus Know-It-ALL

Author : Stan Gibilisco

ISBN10 : 0071549323

Publisher : McGraw Hill Professional

Number of Pages : 806

Category : Mathematics

Viewed : 468


Book Summary: Master calculus from the comfort of home! Want to "know it ALL" when it comes to calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor--without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace. Train your brain with ease! Calculus Know-It-ALL features: Checkpoints to help you track your knowledge and skill level Problem/solution pairs and chapter-ending quizzes to reinforce learning Fully explained answers to all practice exercises A multiple-choice exam to prepare you for standardized tests "Extra Credit" and "Challenge" problems to stretch your mind Stan's expert guidance gives you the know-how to: Understand mappings, relations, and functions Calculate limits and determine continuity Differentiate and integrate functions Analyze graphs using first and second derivatives Define and evaluate inverse functions Use specialized integration techniques Determine arc lengths, surface areas, and solid volumes Work with multivariable functions Take college entrance examinations with confidence And much more!


Author : A. S. GUPTA

ISBN10 : 8120311205

Publisher : PHI Learning Pvt. Ltd.

Number of Pages : 256

Category : Mathematics

Viewed : 1241


Book Summary: Calculus of variations is one of the most important mathematical tools of great scientific significance used by scientistis and engineers. Unfortunately, a few books that are available are written at a level which is not easily comprehensible for postgraduate students.This book, written by a highly respected academic, presents the materials in a lucid manner so as to be within the easy grasp of the students with some background in calculus, differential equations and functional analysis. The aim is to give a thorough and systematic analysis of various aspects of calculus of variations.

Mathematics for Degree Students (For B.Sc. First Year)

Author : Mittal P.K.

ISBN10 : 8121932408

Publisher : S. Chand Publishing

Number of Pages : 422

Category : Mathematics

Viewed : 787


Book Summary: Algebra >Functions And Relations >Congruence Of Integers >Some Special Types Of Matrices >Elementary Operations And Inverse Of A Matrix >Linear Dependance Of Vectors >Rank Of A Matrix >Linear Equations >Characteristic Roots Of Vectors >Theory Of Equations

Practice Makes Perfect Calculus

Author : Dr. William Clark,Sandra McCune

ISBN10 : 0071638164

Publisher : McGraw Hill Professional

Number of Pages : 208

Category : Mathematics

Viewed : 1764


Book Summary: For students who need to polish their calculus skills for class or for a critical exam, this no-nonsense practical guide provides concise summaries, clear model examples, and plenty of practice, practice, practice. About the Book With more than 1,000,000 copies sold, Practice Makes Perfect has established itself as a reliable practical workbook series in the language-learning category. Now, with Practice Makes Perfect: Calculus, students will enjoy the same clear, concise approach and extensive exercises to key fields they've come to expect from the series--but now within mathematics. Practice Makes Perfect: Calculus is not focused on any particular test or exam, but complementary to most calculus curricula. Because of this approach, the book can be used by struggling students needing extra help, readers who need to firm up skills for an exam, or those who are returning to the subject years after they first studied it. Its all-encompassing approach will appeal to both U.S. and international students. Features More than 500 exercises and answers covering all aspects of calculus. Successful series: "Practice Makes Perfect" has sales of 1,000,000 copies in the language category--now applied to mathematics. Large trim allows clear presentation of worked problems, exercises, and explained answers.



ISBN10 : 8120352696

Publisher : PHI Learning Pvt. Ltd.

Number of Pages : 660

Category : Mathematics

Viewed : 1094


Book Summary: Primarily intended for the undergraduate students of mathematics, physics and engineering, this text gives in-depth coverage of differential equations and the methods for solving them. The book begins with the definitions, the physical and geometric origins of differential equations, and the methods for solving the first order differential equations. Then it goes on to give the applications of these equations to such areas as biology, medical sciences, electrical engineering and economics. The text also discusses, systematically and logically, higher order differential equations and their applications to telecommunications, civil engineering, cardiology and detection of diabetes, as also the methods of solving simultaneous differential equations and their applications. Besides, the book provides a detailed discussion on Laplace transforms and their applications, partial differential equations and their applications to vibration of stretched string, heat flow, transmission lines, etc., and calculus of variations and its applications. The book, which is a happy fusion of theory and application, would also be useful to postgraduate students.NEW TO THIS EDITION • New sections on: (a) Equations reducible to linear partial differential equations (b) General method for solving the second order non-linear partial differential equations (Monge’s Method) (c) Lagrange’s equations of motion • Number of solved examples in Chapters 5, 7, 8, 9 and 10.

The Hitchhiker's Guide to Calculus

Author : Michael Spivak

ISBN10 : 1470449625

Publisher : American Mathematical Soc.

Number of Pages : 122

Category : Calculus

Viewed : 1067


Book Summary: 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.

College Math Multiple Choice Questions and Answers (MCQs)

Author : Arshad Iqbal

ISBN10 :

Publisher : Bushra Arshad

Number of Pages : 160

Category : Mathematics

Viewed : 758


Book Summary: College Math Multiple Choice Questions and Answers (MCQs): Quizzes & Practice Tests with Answer Key (College Math Quick Study Guide & Course Review) covers course assessment tests for competitive exams to solve 800 MCQs. "College Math MCQ" with answers covers fundamental concepts with theoretical and analytical reasoning tests. "College Math Quiz" PDF study guide helps to practice test questions for exam review. "College Math Multiple Choice Questions and Answers" PDF book to download covers solved quiz questions and answers PDF on topics: Application of basic identities, double angle identities, functions and limits, fundamentals of trigonometry, matrices and determinants, number system, partial fractions, permutations, combinations and probability, quadratic equations, sequences and series, sets, functions and groups, trigonometric functions and graphs, trigonometric identities, trigonometric ratios of allied angles for college and university level exams. "College Math Questions and Answers" PDF covers exam's viva, interview questions and certificate exam preparation with answer key. College math quick study guide includes terminology definitions in self-teaching guide from math textbooks on chapters: Application of Basic Identities MCQs Double Angle Identities MCQs Functions and Limits MCQs Fundamentals of Trigonometry MCQs Matrices and Determinants MCQs Number System MCQs Partial Fractions MCQs Permutations, Combinations and Probability MCQs Quadratic Equations MCQs Sequences and Series MCQs Sets, Functions and Groups MCQs Trigonometric Functions and Graphs MCQs Trigonometric Identities MCQs Trigonometric Ratios of Allied Angles MCQs Multiple choice questions and answers on application of basic identities MCQ questions PDF covers topics: Applied mathematics, and trigonometry basics. Multiple choice questions and answers on double angle identities MCQ questions PDF covers topics: Double angle identities. Multiple choice questions and answers on functions and limits MCQ questions PDF covers topics: Introduction to functions and limits, exponential function, linear functions, logarithmic functions, concept of limit of function, algebra problems, composition of functions, even functions, finding inverse function, hyperbolic functions, inverse of a function, mathematical formulas, notation and value of function, odd functions, parametric functions, and trigonometric function. Multiple choice questions and answers on fundamentals of trigonometry MCQ questions PDF covers topics: Trigonometric function, fundamental identities, trigonometry formulas, algebra and trigonometry, mathematical formulas, measurements conversion, measuring angles units, radian to degree conversion, radians to degrees, and trigonometry problems. Multiple choice questions and answers on matrices and determinants MCQ questions PDF covers topics: Introduction to matrices and determinants, rectangular matrix, row matrix, skew-symmetric matrix, and symmetric matrix, addition of matrix, adjoint and inverse of square matrix, column matrix, homogeneous linear equations, and multiplication of a matrix. Multiple choice questions and answers on number system MCQ questions PDF covers topics: Properties of real numbers, rational numbers, irrational numbers, complex numbers, basic function, binary operation, De Moivre’s theorem, groups, linear and quadratic function, sets, operation on three sets, and relation. Multiple choice questions and answers on partial fractions MCQ questions PDF covers topics: Introduction of partial fractions, rational fractions, resolution of a rational fraction into partial fraction, when q(x) has non-repeated irreducible quadratic factors, when q(x) has non-repeated linear factors, and when q(x) has repeated linear factors. Multiple choice questions and answers on permutations, combinations and probability MCQ questions PDF covers topics: Introduction to permutations, combinations, probability, circular permutation, combinations, complementary combination, and examples of permutation. Multiple choice questions and answers on quadratic equations MCQ questions PDF covers topics: Introduction to quadratic equations, examples of quadratic equations, nature of roots of quadratic equation, cube roots of unity, exponential equations, formation of equation whose roots are given, fourth root of unity, polynomial function, relation b/w roots and the coefficients of quadratic equations, remainder theorem, roots of equation, solution of a quadratic equations, and synthetic division. Multiple choice questions and answers on sequences and series MCQ questions PDF covers topics: Introduction of sequences and series, arithmetic mean, arithmetic progression, geometric mean, geometric progression, harmonic mean, harmonic progression, infinite geometric series, relation b/w AM, GM and HM, sigma notation, and sum of n terms of a geometric series. Multiple choice questions and answers on sets, functions and groups MCQ questions PDF covers topics: Introduction to sets, functions, groups, basic function, biconditional, implication or conditional, and operation on sets. Multiple choice questions and answers on trigonometric functions and graphs MCQ questions PDF covers topics: Period of trigonometric functions, applied mathematics, domains, ranges, tangent, and cotangent functions. Multiple choice questions and answers on trigonometric identities MCQ questions PDF covers topics: Trigonometric identities, basic trigonometric identities, basic trigonometry formulas, trigonometric ratios of allied angles, trigonometric function, sine cosine tangent, double angle identities, and triple angle identities. Multiple choice questions and answers on trigonometric ratios of allied angles MCQ questions PDF covers topics: Trigonometric ratios of allied angles, and triple angle identities.

Schaum's Outline of Calculus, 6th Edition

Author : Frank Ayres,Elliott Mendelson

ISBN10 : 0071795545

Publisher : McGraw Hill Professional

Number of Pages : 560

Category : Study Aids

Viewed : 698


Book Summary: 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!