Calculus Of One Variable
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Single Variable Calculus
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Author : Soo Tang Tan
language : en
Publisher:
Release Date : 2020-02
Single Variable Calculus written by Soo Tang Tan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02 with categories.
Calculus Of One Variable
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Author : K.E. Hirst
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-10-25
Calculus Of One Variable written by K.E. Hirst and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-25 with Mathematics categories.
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
Single Variable Differential And Integral Calculus
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Author : Elimhan Mahmudov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-19
Single Variable Differential And Integral Calculus written by Elimhan Mahmudov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-19 with Mathematics categories.
The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared.
More Calculus Of A Single Variable
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Author : Peter R. Mercer
language : en
Publisher: Springer
Release Date : 2014-10-17
More Calculus Of A Single Variable written by Peter R. Mercer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-17 with Mathematics categories.
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.
Calculus Of One Variable
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Author : Joseph W. Kitchen
language : en
Publisher: Courier Dover Publications
Release Date : 2020-01-15
Calculus Of One Variable written by Joseph W. Kitchen and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-15 with Mathematics categories.
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.
Calculus Of One Variable
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Author : G. S. Pandey
language : en
Publisher: New Age International
Release Date : 2002
Calculus Of One Variable written by G. S. Pandey and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
The Inclusion Of Modern Topics In The Courses Of Studies In Mathematics At The Undergraduate Level Is Very Necessary To Provide A Foundation For Future And Upcoming Topics At The Higher Level. This Book Is Based On This Fact. It Has Been Planned With A View To Provide A Foundation For Future Analysis Courses And To Make Use Of Sister Topics Like Linear And Abstract Algebra In The Forthcoming Years. This Book Contains Six Chapters. Its First Chapter Explains The Basic Concepts On Sets And Numbers Etc.The Second Chapter Deals With The Sequences And Series Of Real Numbers. Third Chapter Discusses The Continuity And Differentiability Of Functions. The Fourth Chapter Deals With Successive Differentiations And Mean Value Theorems. Last Two Chapters Are On Integration And Application Of Calculus. A Unique Feature Of This Book Is That Each Chapter Contains A Large Number Of Illustrations Which Will Help The Students To Understand Through Analytical Approach. The Book Meets Requirements Of B.Sc Part One Courses Of Many Indian Universities Including Those Of Madhya Pradesh.
How To Learn Calculus Of One Variable Vol I
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Author : J. D. Ghosh
language : en
Publisher: New Age International
Release Date : 2008-12
How To Learn Calculus Of One Variable Vol I written by J. D. Ghosh and has been published by New Age International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12 with Mathematics categories.
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.
Advanced Calculus Of A Single Variable
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Author : Tunc Geveci
language : en
Publisher: Springer
Release Date : 2016-03-30
Advanced Calculus Of A Single Variable written by Tunc Geveci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-30 with Mathematics categories.
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.
Advanced Calculus Revised Edition
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus Revised Edition written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
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 Of One Variable
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Author : M. Thamban Nair
language : en
Publisher: Springer Nature
Release Date : 2022-01-22
Calculus Of One Variable written by M. Thamban Nair and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-22 with Mathematics categories.
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.