Calculus Of One Variable

Author : Stanley I. Grossman
Publisher : Academic Press
Page : 1177 pages
File Size : 50,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483262437

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Calculus by Stanley I. Grossman Pdf

Calculus, Second Edition discusses the techniques and theorems of calculus. This edition introduces the sine and cosine functions, distributes ?-? material over several chapters, and includes a detailed account of analytic geometry and vector analysis. This book also discusses the equation of a straight line, trigonometric limit, derivative of a power function, mean value theorem, and fundamental theorems of calculus. The exponential and logarithmic functions, inverse trigonometric functions, linear and quadratic denominators, and centroid of a plane region are likewise elaborated. Other topics include the sequences of real numbers, dot product, arc length as a parameter, quadric surfaces, higher-order partial derivatives, and Green's theorem in the plane. This publication is a good source for students learning calculus.

Author : M. Thamban Nair
Publisher : Springer Nature
Page : 350 pages
File Size : 52,6 Mb
Release : 2022-01-22
Category : Mathematics
ISBN : 9783030886370

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Calculus of One Variable by M. Thamban Nair Pdf

This book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Mathematics. The first edition of this book was published in 2015. As there is a demand for the next edition, it is quite natural to take note of the several suggestions received from the users of the earlier edition over the past six years. This is the prime motivation for bringing out a revised second edition with a thorough revision of all the chapters. The book provides a clear understanding of the basic concepts of differential and integral calculus starting with the concepts of sequences and series of numbers, and also introduces slightly advanced topics such as sequences and series of functions, power series, and Fourier series which would be of use for other courses in mathematics for science and engineering programs. The salient features of the book are - precise definitions of basic concepts; several examples for understanding the concepts and for illustrating the results; includes proofs of theorems; exercises within the text; a large number of problems at the end of each chapter as home-assignments. The student-friendly approach of the exposition of the book would be of great use not only for students but also for the instructors. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in a mathematics course.

Author : K.E. Hirst
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 49,9 Mb
Release : 2005-12-17
Category : Mathematics
ISBN : 9781846282225

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Calculus of One Variable by K.E. Hirst Pdf

Adopts a user-friendly approach, with an emphasis on worked examples and exercises, rather than abstract theory The computer algebra and graphical package MAPLE is used to illustrate many of the ideas and provides an additional aid to teaching and learning Supplementary material, including detailed solutions to exercises and MAPLE worksheets, is available via the web

Author : Joseph W. Kitchen
Publisher : Courier Dover Publications
Page : 804 pages
File Size : 47,5 Mb
Release : 2020-01-15
Category : Mathematics
ISBN : 9780486838069

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Calculus of One Variable by Joseph W. Kitchen Pdf

Richly textured and versatile text characterizes real numbers as a complete, ordered field. Rigorous development of the calculus, plus thorough treatment of basic topics of limits and inequalities. 1968 edition.

Author : Soo Tang Tan
Publisher : Unknown
Page : 128 pages
File Size : 49,5 Mb
Release : 2020-02
Category : Electronic
ISBN : 1733649700

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Single Variable Calculus by Soo Tang Tan Pdf

Author : Tunc Geveci
Publisher : Springer
Page : 382 pages
File Size : 45,6 Mb
Release : 2016-03-30
Category : Mathematics
ISBN : 9783319278070

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Advanced Calculus of a Single Variable by Tunc Geveci Pdf

This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ε-δ definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L’Hôpital’s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.

Author : Peter R. Mercer
Publisher : Springer
Page : 419 pages
File Size : 49,9 Mb
Release : 2014-10-17
Category : Mathematics
ISBN : 9781493919260

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More Calculus of a Single Variable by Peter R. Mercer Pdf

This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization. More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.

Author : Amol Sasane
Publisher : John Wiley & Sons
Page : 520 pages
File Size : 50,6 Mb
Release : 2015-07-01
Category : Mathematics
ISBN : 9781119043416

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The How and Why of One Variable Calculus by Amol Sasane Pdf

First course calculus texts have traditionally been either“engineering/science-oriented” with too little rigor,or have thrown students in the deep end with a rigorous analysistext. The How and Why of One Variable Calculus closes thisgap in providing a rigorous treatment that takes an original andvaluable approach between calculus and analysis. Logicallyorganized and also very clear and user-friendly, it covers 6 maintopics; real numbers, sequences, continuity, differentiation,integration, and series. It is primarily concerned with developingan understanding of the tools of calculus. The author presentsnumerous examples and exercises that illustrate how the techniquesof calculus have universal application. The How and Why of One Variable Calculus presents anexcellent text for a first course in calculus for students in themathematical sciences, statistics and analytics, as well as a textfor a bridge course between single and multi-variable calculus aswell as between single variable calculus and upper level theorycourses for math majors.

Author : Colin Adams,Abigail Thompson,Joel Hass
Publisher : Times Books
Page : 340 pages
File Size : 53,5 Mb
Release : 2015-10-06
Category : Mathematics
ISBN : 9781627798853

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How to Ace Calculus by Colin Adams,Abigail Thompson,Joel Hass Pdf

Written by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

Author : Ia Maron
Publisher : Unknown
Page : 0 pages
File Size : 50,7 Mb
Release : 2023-02-24
Category : Study Aids
ISBN : 9388127374

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Problems In Calculus of One Variable by Ia Maron Pdf

The "Classic Text Series" is a collection of books written by the most famous mathematicians of their time and has been proven over the years as the most preferred concept-building tool to learn mathematics. Arihant's imprints of these books are a way of presenting these timeless classics. Compiled by IA MARON, the book "Problems in Calculus of One Variable" has been updated and deals with the modern treatment of complex concepts of Mathematics. Formulated as per the latest syllabus, this complete preparatory guide is accumulated with Problems and Solutions with Answer Keys to enhance problem-solving skills. The unique features accumulated in this book are: 1. Complete coverage of syllabus 2. Chapterwise division of Problems 3. Answers And Hints are provided in a great detailed manner 4. Enhance Mathematical Problem-Solving skills in a lucid manner 5. Works as an elementary textbook to build concepts TABLE OF CONTENT: Introduction to Mathematical Analysis, Differentiation of Functions, Application of Differential Calculus to Investigation of Functions, Indefinite Integrals. Basic Methods of Integration, Basic Classes of Integrable Functions, The Definite Integrals, Applications of the Definite Integral, Improper Integrals, Answers and Hints

Author : J. D. Ghosh
Publisher : New Age International
Page : 962 pages
File Size : 45,6 Mb
Release : 2008-12
Category : Mathematics
ISBN : 8122415245

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How To Learn Calculus Of One Variable Vol. I by J. D. Ghosh Pdf

How To Learn Calculus Of One Variable A Central Part In Many Branches Of Physics And Engineering. The Present Book Tries To Bring Out Some Of The Most Important Concepts Associates With The Theoretical Aspects Which Is Quite Exhaustively. The Entire Book In A Manner Can Help The Student To Learn The Methods Of Calculus And Theoretical Aspects.These Techniques Are Presented In This Book In A Lucid Manner With A Large Number Of Example, Students Will Easily Understand The Principles Of Calculus. It Helps To Solve Most Examples And Reasonings.This Book Mainly Caters To The Need Of Intermediate And Competitive Students, Who Will Find It A Pleasure In This Book. It Can Also Be Useful For All Users Of Mathematics And For All Mathematical Modelers.

Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 624 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461210689

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Calculus of Several Variables by Serge Lang Pdf

This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 42,7 Mb
Release : 2014-02-26
Category : Mathematics
ISBN : 9789814583954

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Advanced Calculus by Lynn Harold Loomis,Shlomo Sternberg Pdf

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.

Author : Deborah Hughes-Hallett,Andrew M. Gleason,William G. McCallum,Daniel E. Flath,David O. Lomen,David Lovelock,Jeff Tecosky-Feldman,Thomas W. Tucker,Joseph Thrash,Karen R. Rhea,Andrew Pasquale,Sheldon P. Gordon,Douglas Quinney,Patti Frazer Lock
Publisher : Wiley
Page : 0 pages
File Size : 55,6 Mb
Release : 1997-10-24
Category : Mathematics
ISBN : 0471164437

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Calculus by Deborah Hughes-Hallett,Andrew M. Gleason,William G. McCallum,Daniel E. Flath,David O. Lomen,David Lovelock,Jeff Tecosky-Feldman,Thomas W. Tucker,Joseph Thrash,Karen R. Rhea,Andrew Pasquale,Sheldon P. Gordon,Douglas Quinney,Patti Frazer Lock Pdf

A revision of the best selling innovative Calculus text on the market. Functions are presented graphically, numerically, algebraically, and verbally to give readers the benefit of alternate interpretations. The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics. Revised edition features new sections on limits and continuity, limits, l'Hopital's Rule, and relative growth rates, and hyperbolic functions.

Author : Don R. Lick
Publisher : Unknown
Page : 427 pages
File Size : 50,6 Mb
Release : 1971
Category : Calculo de variaciones
ISBN : 0390557439

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The Advanced Calculus of One Variable by Don R. Lick Pdf