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Advanced Calculus

Advanced Calculus Pdf/ePub eBook Author:
Editor: World Scientific Publishing Company
ISBN: 9814583952
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Advanced Calculus by Summary

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.

Calculus Made Easy

Calculus Made Easy Pdf/ePub eBook Author: Silvanus P. Thompson,Martin Gardner
Editor: St. Martin\'s Press
ISBN: 1466866357
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Calculus Made Easy by Silvanus P. Thompson,Martin Gardner Summary

Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer, and 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.

Differential and Integral Calculus

Differential and Integral Calculus Pdf/ePub eBook Author: Richard Courant
Editor: John Wiley & Sons
ISBN: 1118031490
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Differential and Integral Calculus by Richard Courant Summary

The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.

Calculus and Its Applications

Calculus and Its Applications Pdf/ePub eBook Author: Marvin L. Bittinger,David J. Ellenbogen,Scott J. Surgent
Editor: Pearson
ISBN: 0321999185
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Calculus and Its Applications by Marvin L. Bittinger,David J. Ellenbogen,Scott J. Surgent Summary

NOTE: You are purchasing a standalone product; MyMathLab does not come packaged with this content. If you would like to purchase both the physical text and MyMathLab, search for: 013379556X / 9780133795561 Calculus And Its Applications Plus MyMathLab with Pearson eText -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321979397 / 9780321979391 Calculus And Its Applications MyMathLab should only be purchased when required by an instructor. Calculus and Its Applications, Eleventh Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today’s students, providing intuitive explanations that work with the carefully crafted artwork to help them visualize new calculus concepts. Additionally, the text’s numerous and up-to-date applications from business, economics, life sciences, and social sciences help motivate students. Algebra diagnostic and review material is available for those who need to strengthen basic skills. Every aspect of this revision is designed to motivate and help students to more readily understand and apply the mathematics.

Introduction to Calculus

Introduction to Calculus Pdf/ePub eBook Author: Kazimierz Kuratowski
Editor: Elsevier
ISBN: 1483222624
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Introduction to Calculus by Kazimierz Kuratowski Summary

The English edition does not differ essentially from the Polish one. Among the more important supplements I should mention § 6.5 containing elementary information on the notation of mathematical logic. To this supplement I was inclined by the experience of many years. For many students (not for all, perhaps) the notation of definitions of certain notions by means of the logical symbols makes it easier to understand these notions (e.g. the notions of uniform continuity or uniform convergence). Besides that, this supplement is included in the book in such a manner that it can be omitted in reading the whole book. Among other changes introduced in the English text, I should mention the addition of a number of exercises and problems; in the second English edition, many of them have been collected in the Supplement. I am glad also to mention the simplification of certain proofs, and finally the removal of mistakes which were found in the primary text

Fundamentals of Calculus

Fundamentals of Calculus Pdf/ePub eBook Author: Carla C. Morris,Robert M. Stark
Editor: John Wiley & Sons
ISBN: 1119015316
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Fundamentals of Calculus by Carla C. Morris,Robert M. Stark 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.

The Manga Guide to Calculus

The Manga Guide to Calculus Pdf/ePub eBook Author: Hiroyuki Kojima,Shin Togami,Co Ltd Becom
Editor: No Starch Press
ISBN: 1593272960
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The Manga Guide to Calculus by Hiroyuki Kojima,Shin Togami,Co Ltd Becom Summary

Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye. In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor). Mr. Seki teaches Noriko how to: –Use differentiation to understand a function's rate of change –Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral –Integrate and differentiate trigonometric and other complicated functions –Use multivariate calculus and partial differentiation to deal with tricky functions –Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus. This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.


CALCULUS Pdf/ePub eBook Author: Dinesh Khattar,Kavita Gupta
Editor: PHI Learning Pvt. Ltd.
ISBN: 8120353609
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CALCULUS by Dinesh Khattar,Kavita Gupta 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 Textbook of B.Sc. Mathematics (Differential Calculus) (For 1st Year, 1st Semester of Telangana Universities)

A Textbook of B.Sc. Mathematics (Differential Calculus) (For 1st Year, 1st Semester of Telangana Universities) Pdf/ePub eBook Author: Rao, Venkateswara V., Murthy, Krishna N., Sarma B.V.S.S., Sastry Anjaneya S. & Ranganatham S.
Editor: S. Chand Publishing
ISBN: 9352830385
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A Textbook of B.Sc. Mathematics (Differential Calculus) (For 1st Year, 1st Semester of Telangana Universities) by Rao, Venkateswara V., Murthy, Krishna N., Sarma B.V.S.S., Sastry Anjaneya S. & Ranganatham S. Summary

A Textbook of B.Sc. Mathematics


Editor: Misha Books
ISBN: 9389055326
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This book is intended to serve as a Textbook for Undergraduate and Post - graduate students of Mathematics. It will be useful to the researchers working in the field of Differential geometry and its applications to general theory of relativity and other applied areas. It will also be helpful in preparing for the competitive examinations like IAS, IES, NET, PCS, and UP Higher Education exams. The text starts with a chapter on Preliminaries discussing basic concepts and results which would be taken for general later in the subsequent chapters of this book. This is followed by the Study of the Tensors Algebra and its operations and types, Christoffel's symbols and its properties, the concept of covariant differentiation and its properties, Riemann's symbols and its properties, and application of tensor in different areas in part – I and the study of the Theory of Curves in Space, Concepts of a Surface and Fundamental forms, Envelopes and Developables, Curvature of Surface and Lines of Curvature, Fundamental Equations of Surface Theory, Theory of Geodesics, Differentiable Manifolds and Riemannian Manifold and Application of Differential Geometry in Part –II. KEY FEATURES: Provides basic Concepts in an easy to understand style; Presentation of the subject in a natural way; Includes a large number of solved examples and illuminating illustrations; Exercise questions at the end of the topic and at the end of each chapter; Proof of the theorems are given in an easy to understand style; Neat and clean figures are given at appropriate places; Notes and remarks are given at appropriate places.

Differential Calculus

Differential Calculus Pdf/ePub eBook Author: Shanti Narayan
Editor: S. Chand Publishing
ISBN: 9788121904711
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Differential Calculus by Shanti Narayan Summary

This textbook commences with a brief outline of development of real numbers, their expression as infinite decimals and their representation by points along a line. While the first part of the textbook is analytical, the latter part deals with the geometrical applications of the subject. Numerous examples and exercises have been provided to support student's understanding. This textbook has been designed to meet the requirements of undergraduate students of BA and BSc courses.

A Course in Calculus and Real Analysis

A Course in Calculus and Real Analysis Pdf/ePub eBook Author: Sudhir R. Ghorpade,Balmohan V. Limaye
Editor: Springer Science & Business Media
ISBN: 0387364250
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A Course in Calculus and Real Analysis by Sudhir R. Ghorpade,Balmohan V. Limaye 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.

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

Mathematics for Degree Students (For B.Sc. First Year) Pdf/ePub eBook Author: Mittal P.K.
Editor: S. Chand Publishing
ISBN: 8121932408
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Mathematics for Degree Students (For B.Sc. First Year) by Mittal P.K. 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

Best Practices for Flipping the College Classroom

Best Practices for Flipping the College Classroom Pdf/ePub eBook Author: Julee B. Waldrop,Melody A. Bowdon
Editor: Routledge
ISBN: 1317693787
FileSize: 1861kb
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Best Practices for Flipping the College Classroom by Julee B. Waldrop,Melody A. Bowdon 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.

The Hitchhiker's Guide to Calculus

The Hitchhiker's Guide to Calculus Pdf/ePub eBook Author: Michael Spivak
Editor: American Mathematical Soc.
ISBN: 1470449625
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The Hitchhiker's Guide to Calculus by Michael Spivak 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.


Editor: PHI Learning Pvt. Ltd.
ISBN: 8120311205
FileSize: 417kb
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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.

Practice Makes Perfect Calculus

Practice Makes Perfect Calculus Pdf/ePub eBook Author: Dr. William Clark,Sandra McCune
Editor: McGraw Hill Professional
ISBN: 0071638164
FileSize: 1737kb
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Practice Makes Perfect Calculus by Dr. William Clark,Sandra McCune 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.

Advanced Differential Equations

Advanced Differential Equations Pdf/ePub eBook Author: M.D.Raisinghania
Editor: S. Chand Publishing
ISBN: 8121908930
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Advanced Differential Equations by M.D.Raisinghania Summary

This book is especially prepared for B.A., B.Sc. and honours (Mathematics and Physics), M.A/M.Sc. (Mathematics and Physics), B.E. Students of Various Universities and for I.A.S., P.C.S., AMIE, GATE, and other competitve exams.Almost all the chapters have been rewritten so that in the present form, the reader will not find any difficulty in understanding the subject matter.The matter of the previous edition has been re-organised so that now each topic gets its proper place in the book.More solved examples have been added so that now each topic gets its proper place in the book. References to the latest papers of various universities and I.A.S. examination have been made at proper places.


Editor: PHI Learning Pvt. Ltd.
ISBN: 8120352696
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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.

Engineering Mathematics Volume III (Linear Algebra and Vector Calculus) (For 1st Year, 2nd Semester of JNTU, Kakinada)

Engineering Mathematics Volume III (Linear Algebra and Vector Calculus) (For 1st Year, 2nd Semester of JNTU, Kakinada) Pdf/ePub eBook Author: Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N.
Editor: S. Chand Publishing
ISBN: 9352832434
FileSize: 1892kb
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Engineering Mathematics Volume III (Linear Algebra and Vector Calculus) (For 1st Year, 2nd Semester of JNTU, Kakinada) by Iyenger T.K.V./ Gandhi, Krishna B./ Ranganatham S. & Prasad M.V.S.S.N. Summary

Engineering Mathematics