Calculus 1

Author: Wesolvethem Team

Publisher: Createspace Independent Publishing Platform

ISBN: 9781974616145

Category:

Page: 28

View: 8547

This text contains all formulas, equations and identities needed from a first semester calculus course. The text is designed for a modern college student i.e. it flows directly with the students textbook. Utilize this book as a quick reference or cheat sheet while taking or reviewing a first year differential calculus course. The WeSolveThem Team Math & Physics Lessons WeSolveThem.com YouTube.com/WeSolveThem
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A Resource for AP and Beyond

Author: Caren L. Diefenderfer,Roger B. Nelsen

Publisher: MAA

ISBN: 9780883857618

Category: Juvenile Nonfiction

Page: 507

View: 3033

The Calculus Collection is a useful resource for everyone who teaches calculus, in high school or in a 2- or 4-year college or university. It consists of 123 articles, selected by a panel of six veteran high school teachers, each of which was originally published in Math Horizons, MAA Focus, The American Mathematical Monthly, The College Mathematics Journal, or Mathematics Magazine. The articles focus on engaging students who are meeting the core ideas of calculus for the first time. The Calculus Collection is filled with insights, alternate explanations of difficult ideas, and suggestions for how to take a standard problem and open it up to the rich mathematical explorations available when you encourage students to dig a little deeper. Some of the articles reflect an enthusiasm for bringing calculators and computers into the classroom, while others consciously address themes from the calculus reform movement. But most of the articles are simply interesting and timeless explorations of the mathematics encountered in a first course in calculus.The MAA has twice previously issued a calculus reader, collecting articles on calculus from its journals: Selected Papers in Calculus, published in 1969 and reprinted as Part I of A Century of Calculus, and Part II published in 1992. In a sense The Calculus Collection is the third volume in that series, but different in that it is a collection chosen for its usefulness to those who teach first-year calculus in high schools as well as colleges and universities.
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Definitions, Theorems, and Formulas for Reference and Review

Author: Granino A. Korn,Theresa M. Korn

Publisher: Courier Corporation

ISBN: 0486320235

Category: Technology & Engineering

Page: 1152

View: 8307

Convenient access to information from every area of mathematics: Fourier transforms, Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functions, combinatorial analysis, game theory, much more.
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Author: A.K. Sharma

Publisher: Discovery Publishing House

ISBN: 9788171418442

Category:

Page: 576

View: 8936

This book on Differential Calculus has been written for the use of the students of degree and honours classes of Indian Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The theories and articles have been explained in detailed in a nice manner and all the examples have been completely solved. Self practice problems in such chapter will help students self evaluation. Hints and answers to self practice problems enable to students learn at their own pace. The book contains almost all the questions set at various examinations held by Indian Universities and it covers to syllabi of all Indian Universities. Contents: Function of Real Variable, Limits, Continuity and Differentiability, Rolle s Theorem, Mean Value Theorems, Taylor s and Maclaurin s Theorems, Differentiation, Successive Differentiation, Expansions of Functions, Partial Differential, Indeterminate Forms, Tangents and Norms, Curvature, Asymptotes.
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Author: Michael J. Field

Publisher: Courier Corporation

ISBN: 048649795X

Category: Mathematics

Page: 315

View: 2543

This text offers a synthesis of theory and application related to modern techniques of differentiation. Based on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. Suitable for advanced undergraduate courses in pure and applied mathematics, it forms the basis for graduate-level courses in advanced calculus and differential manifolds. Starting with a brief resume of prerequisites, including elementary linear algebra and point set topology, the self-contained approach examines liner algebra and normed vector spaces, differentiation and calculus on vector spaces, and the inverse- and implicit-function theorems. A final chapter is dedicated to a consolidation of the theory as stated in previous chapters, in addition to an introduction to differential manifolds and differential equations.
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Author: J├╝rgen Jost,Xianqing Li-Jost

Publisher: Cambridge University Press

ISBN: 9780521642033

Category: Mathematics

Page: 323

View: 7491

This textbook on the calculus of variations covers from the basics to the modern aspects of the theory.
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Author: Euler

Publisher: Springer Science & Business Media

ISBN: 9780387985343

Category: Mathematics

Page: 194

View: 2345

What differential calculus, and, in general, analysis ofthe infinite, might be can hardly be explainedto those innocent ofany knowledge ofit. Nor can we here offer a definition at the beginning of this dissertation as is sometimes done in other disciplines. It is not that there is no clear definition of this calculus; rather, the fact is that in order to understand the definition there are concepts that must first be understood. Besides those ideas in common usage, there are also others from finite analysis that are much less common and are usually explained in the courseofthe development ofthe differential calculus. For this reason, it is not possible to understand a definition before its principles are sufficiently clearly seen. In the first place, this calculus is concerned with variable quantities. Although every quantity can naturally be increased or decreased without limit, still, since calculus is directed to a certain purpose, we think of some quantities as being constantly the same magnitude, while others change through all the .stages of increasing and decreasing. We note this distinc tion and call the former constant quantities and the latter variables. This characteristic difference is not required by the nature of things, but rather because of the special question addressed by the calculus.
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Author: James Stewart

Publisher: Cengage Learning

ISBN: 1305480511

Category: Mathematics

Page: 1392

View: 373

James Stewart's CALCULUS texts are widely renowned for their mathematical precision and accuracy, clarity of exposition, and outstanding examples and problem sets. Millions of students worldwide have explored calculus through Stewart's trademark style, while instructors have turned to his approach time and time again. In the Eighth Edition of CALCULUS, Stewart continues to set the standard for the course while adding carefully revised content. The patient explanations, superb exercises, focus on problem solving, and carefully graded problem sets that have made Stewart's texts best-sellers continue to provide a strong foundation for the Eighth Edition. From the most unprepared student to the most mathematically gifted, Stewart's writing and presentation serve to enhance understanding and build confidence. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
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Author: S Balachandra Rao

Publisher: New Age International

ISBN: 9788122403084

Category: Calculus

Page: 528

View: 5204

This Book Is Designed To Be Used For Class-Room Teaching For A Course In Differential Calculus At The Undergraduate Level And Also As A Reference Book For Others Who Need The Use Of Differential Calculus. The Book Is Designed In Accordance With The Syllabus In Differential Calculus Prescribed In Most Of The Indian Universities.The Following Are Some Of The Special Features Of This Textbook: * In Addition To The Theoretical Treatment Of The Topics In Differential Calculus, Due Respect Is Given To Application-Oriented Approach Through Various Illustrations And Exercises Drawn From Practical Sciences. * The Graphical And Numerical Approach Provided In The Text Enhances The Appreciation And Understanding Of The Concepts Involved. * A Large Number Of Worked Examples And Exercises, With Answers, Drawn From Various Examination Papers Of Indian And Foreign Universities Are Included. * Biographical Notes And Historical Snippets Have Been Added With A View To Motivating And Inspiring The Students. Brief Life-Sketches And Contributions Of Great Mathematicians Like Sir Isaac Newton And Leibniz Form Part Of The Book. * The Unique And Pioneering Aspect Of The Present Book Is That A Large Number Of Computer Programs And Graphic Printouts For Various Topics Indifferential Calculus Are Included. The Fascinating Potential Of Graphics, For The Understanding Of Calculus, On A Computer Is Well Brought Out Through Computer Programs Which Can Be Readily Worked On An Ibm-Compatible Pc. Further, In Order To Make The Programs Useful To Students And Amateurs Who Have Access Only To The Popular Home-Computers Interesting Programs Which Can Be, Run On The Very Popular Bbc Microcomputer And Sinclair Spectrum Have Also Been Provided.Very Interesting Graphics Of Evolutes Of Famous Curves And Envelopes Of Families Of Curves Along With Their Ready-To-Work Programs Add To The Value Of The Book.
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Calculus 2

Author: Wesolvethem Team

Publisher: Independently Published

ISBN: 9781549511943

Category: Education

Page: 30

View: 9138

This text contains all formulas, equations and identities needed from a first semester calculus course. The text is designed for a modern college student i.e. it flows directly with the students textbook. Utilize this book as a quick reference or cheat sheet while taking or reviewing a first year differential calculus course.
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Author: E. C. Zachmanoglou,Dale W. Thoe

Publisher: Courier Corporation

ISBN: 048613217X

Category: Mathematics

Page: 432

View: 309

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.
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Author: Peter J. Olver

Publisher: Springer Science & Business Media

ISBN: 3319020994

Category: Mathematics

Page: 636

View: 8189

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.
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Calculus 3

Author: Wesolvethem Team

Publisher: N.A

ISBN: 9781974620500

Category:

Page: 28

View: 4254

This text contains all formulas, equations and identities needed from a first semester calculus course. The text is designed for a modern college student i.e. it flows directly with the students textbook.Utilize this book as a quick reference or cheat sheet while taking or reviewing a first year differential calculus course.The WeSolveThem TeamMath & Physics LessonsWeSolveThem.comYouTube.com/WeSolveThem
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Systematic Studies with Engineering Applications for Beginners

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

Publisher: John Wiley & Sons

ISBN: 1118130146

Category: Mathematics

Page: 784

View: 8420

Enables readers to apply the fundamentals of differentialcalculus to solve real-life problems in engineering and thephysical sciences Introduction to Differential Calculus fully engages readers bypresenting the fundamental theories and methods of differentialcalculus and then showcasing how the discussed concepts can beapplied to real-world problems in engineering and the physicalsciences. With its easy-to-follow style and accessibleexplanations, the book sets a solid foundation before advancing tospecific calculus methods, demonstrating the connections betweendifferential calculus theory and its applications. The first five chapters introduce underlying concepts such asalgebra, geometry, coordinate geometry, and trigonometry.Subsequent chapters present a broad range of theories, methods, andapplications in differential calculus, including: Concepts of function, continuity, and derivative Properties of exponential and logarithmic function Inverse trigonometric functions and their properties Derivatives of higher order Methods to find maximum and minimum values of a function Hyperbolic functions and their properties Readers are equipped with the necessary tools to quickly learnhow to understand a broad range of current problems throughout thephysical sciences and engineering that can only be solved withcalculus. Examples throughout provide practical guidance, andpractice problems and exercises allow for further development andfine-tuning of various calculus skills. Introduction toDifferential Calculus is an excellent book for upper-undergraduatecalculus courses and is also an ideal reference for students andprofessionals alike who would like to gain a further understandingof the use of calculus to solve problems in a simplifiedmanner.
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early transcendentals : matrix version

Author: Charles Henry Edwards,David E. Penney

Publisher: N.A

ISBN: 9780130937117

Category: Calculus

Page: 1128

View: 369

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Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 9780471608424

Category: Mathematics

Page: 640

View: 3238

Now available in a low-priced paperback edition! Written by one of the foremost mathematicians of the 20th century, this text remains the only modern treatment to successfully integrate principles of analysis into first-year calculus. Further, Courant's treatment introduces the differential and integral calculus simultaneously, emphasizing the central point of the calculus, namely, the connection between definite integral, indefinite integral, and derivative. Exposition exhibits the close connection between analysis and its applications, making this text appropriate for students of mathematics, or of science and engineering. Courant makes the subject easier to grasp by giving proofs step-by-step, and by developing the intuition that gave rise to the calculus and guides its use today.
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Real and Complex Analysis in Locally Convex Spaces

Author: J.F. Colombeau

Publisher: Elsevier

ISBN: 9780080871752

Category: Mathematics

Page: 454

View: 8570

Differential Calculus and Holomorphy
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Author: Thomas H. Barr,Charles Henry Edwards,David E. Penney

Publisher: N.A

ISBN: 9780536600967

Category: Mathematics

Page: 486

View: 2780

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Author: Daniel Zwillinger

Publisher: Academic Press

ISBN: 1483220966

Category: Mathematics

Page: 694

View: 4410

Handbook of Differential Equations is a handy reference to many popular techniques for solving and approximating differential equations, including exact analytical methods, approximate analytical methods, and numerical methods. Topics covered range from transformations and constant coefficient linear equations to finite and infinite intervals, along with conformal mappings and the perturbation method. Comprised of 180 chapters, this book begins with an introduction to transformations as well as general ideas about differential equations and how they are solved, together with the techniques needed to determine if a partial differential equation is well-posed or what the "natural" boundary conditions are. Subsequent sections focus on exact and approximate analytical solution techniques for differential equations, along with numerical methods for ordinary and partial differential equations. This monograph is intended for students taking courses in differential equations at either the undergraduate or graduate level, and should also be useful for practicing engineers or scientists who solve differential equations on an occasional basis.
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