Single Variable Differential And Integral Calculus

Author : Elimhan Mahmudov
Publisher : Springer Science & Business Media
Page : 386 pages
File Size : 46,9 Mb
Release : 2013-03-19
Category : Mathematics
ISBN : 9789491216862

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Single Variable Differential and Integral Calculus by Elimhan Mahmudov Pdf

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.

Author : Robert Alexander Adams
Publisher : Unknown
Page : 688 pages
File Size : 45,8 Mb
Release : 2006
Category : Mathematics
ISBN : CORNELL:31924105423622

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Calculus by Robert Alexander Adams Pdf

Author : Dennis G. Zill,Warren S. Wright
Publisher : Jones & Bartlett Publishers
Page : 502 pages
File Size : 48,5 Mb
Release : 2009-12-11
Category : Mathematics
ISBN : 9781449690557

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Single Variable Calculus: Early Transcendentals by Dennis G. Zill,Warren S. Wright Pdf

Dennis Zill's mathematics texts are renowned for their student-friendly presentation and robust examples and problem sets. The Fourth Edition of Single Variable Calculus: Early Transcendentals is no exception. This outstanding revision incorporates all of the exceptional learning tools that have made Zill's texts a resounding success. Appropriate for the first two terms in the college calculus sequence, students are provided with a solid foundation in important mathematical concepts and problem solving skills, while maintaining the level of rigor expected of a Calculus course.

Author : Dennis Zill,Warren S. Wright
Publisher : Jones & Bartlett Learning
Page : 706 pages
File Size : 46,5 Mb
Release : 2009-12-11
Category : Mathematics
ISBN : 9780763749651

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Single Variable Calculus by Dennis Zill,Warren S. Wright Pdf

Dennis Zill's mathematics texts are renowned for their student-friendly presentation and robust examples and problem sets. The Fourth Edition of Single Variable Calculus: Early Transcendentals is no exception. This outstanding revision incorporates all of the exceptional learning tools that have made Zill's texts a resounding success. Appropriate for the first two terms in the college calculus sequence, students are provided with a solid foundation in important mathematical concepts and problem solving skills, while maintaining the level of rigor expected of a Calculus course.

Author : Robert A. Adams,Christopher Essex
Publisher : Unknown
Page : 720 pages
File Size : 51,8 Mb
Release : 2017-01-24
Category : Electronic
ISBN : 0134579801

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Calculus by Robert A. Adams,Christopher Essex Pdf

Proven in North America and abroad, this classic text has earned a reputation for excellent accuracy and mathematical rigour. Previous editions have been praised for providing complete and precise statements of theorems, using geometric reasoning in applied problems, and for offering a range of applications across the sciences. Written in a clear, coherent, and readable form, Calculus: A Complete Course makes student comprehension a clear priority. KEY TOPICS: Limits and Continuity; Differentiation; Transcendental Functions; More Applications of Differentiation; Integration; Techniques of Integration; Applications of Integration; Conics, Parametric Curves, and Polar Curves; Sequence, Series, and Power Series; Ordinary Differential Equations MARKET: Appropriate for the three-semester calculus course.

Author : Ranis Ibragimov,Pirooz Mohazzabi
Publisher : Unknown
Page : 0 pages
File Size : 42,6 Mb
Release : 2018
Category : Calculus, Integral
ISBN : 1536140473

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Single Variable Integral and Differential Calculus in a Nutshell with Elements of Critical Thinking by Ranis Ibragimov,Pirooz Mohazzabi Pdf

This book presents a variety of calculus problems concerning different levels of difficulty with technically correct solutions and methodological steps that look also correct, but that have obviously wrong results (like 0 = 1). Those errors are aimed to be resolved by applying critical thinking (i.e., reasonable, reflective, responsible, and skillful thinking). This book is structured in such a way that finding a problem for a given solution with the wrong answer requires a proper diagnosis by asking the right questions, which is one of the first steps to critical thinking. The objective of this book is to motivate students to identify various strategies and to develop criteria for choosing a suitable strategy to resolve obvious errors or illogical statements.

Author : Tunc Geveci
Publisher : Springer
Page : 382 pages
File Size : 48,6 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 : Soo Tang Tan
Publisher : Unknown
Page : 128 pages
File Size : 42,8 Mb
Release : 2020-02
Category : Electronic
ISBN : 1733649700

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Single Variable Calculus by Soo Tang Tan Pdf

Author : Earl William Swokowski
Publisher : PWS Publishing Company
Page : 800 pages
File Size : 42,6 Mb
Release : 1991
Category : Mathematics
ISBN : 0534925847

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Calculus of a Single Variable by Earl William Swokowski Pdf

The strengths of these texts are characterized by mathematical integrity, comprehensive discussions of the concepts of calculus, and an impressively large collection of worked examples and illustrative figures.

Author : C. Henry Edwards,David E. Penney
Publisher : Prentice Hall
Page : 0 pages
File Size : 51,7 Mb
Release : 2002-06
Category : Mathematics
ISBN : 0130620416

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Single Variable Calculus by C. Henry Edwards,David E. Penney Pdf

This book combines traditional mainstream calculus with the most flexible approach to new ideas and calculator/computer technology. It contains superb problem sets and a fresh conceptual emphasis flavored by new technological possibilities. The Calculus II portion now has a new focus on differential equations. Chapter topics include functions, graphs, and models; a prelude to calculus; the derivative; additional applications of the derivative; the integral; applications of the integral; calculus of transcendental functions; techniques of integration; differential equations; polar coordinates and parametric curves; and infinite series.

Author : Yunzhi Zou
Publisher : Walter de Gruyter GmbH & Co KG
Page : 424 pages
File Size : 55,7 Mb
Release : 2018-03-19
Category : Mathematics
ISBN : 9783110527780

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Single Variable Calculus by Yunzhi Zou Pdf

The book is a comprehensive yet compressed entry-level introduction on single variable calculus, focusing on the concepts and applications of limits, continuity, derivative, defi nite integral, series, sequences and approximations. Chapters are arranged to outline the essence of each topic and to address learning diffi culties, making it suitable for students and lecturers in mathematics, physics and engineering. Contents Prerequisites for calculus Limits and continuity The derivative Applications of the derivative The definite integral Techniques for integration and improper integrals Applications of the definite integral Infinite series, sequences, and approximations

Author : Carl V. Lutzer,H. T. Goodwill
Publisher : Wiley Global Education
Page : 957 pages
File Size : 50,6 Mb
Release : 2011-08-24
Category : Mathematics
ISBN : 9781118137703

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Calculus by Carl V. Lutzer,H. T. Goodwill Pdf

Students and math professors looking for a calculus resource that sparks curiosity and engages them will appreciate this new book. Through demonstration and exercises, it shows them how to read equations. It uses a blend of traditional and reform emphases to develop intuition. Narrative and exercises present calculus as a single, unified subject. Color is used to help them identify and interpret the parts of a mathematical model. In addition, formal proofs are preceded with informal discussions that focus on the ideas about to be presented. Then the proofs are discussed in a way that helps scientists and engineers interpret the details of the argument.

Author : Lynn Harold Loomis,Shlomo Sternberg
Publisher : World Scientific Publishing Company
Page : 596 pages
File Size : 44,9 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 : M. Thamban Nair
Publisher : Springer Nature
Page : 350 pages
File Size : 43,9 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 : Kenneth Kuttler
Publisher : World Scientific
Page : 501 pages
File Size : 46,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814324267

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Calculus by Kenneth Kuttler Pdf

This is a book on single variable calculus including most of the important applications of calculus. It also includes proofs of all theorems presented, either in the text itself, or in an appendix. It also contains an introduction to vectors and vector products which is developed further in Volume 2. While the book does include all the proofs of the theorems, many of the applications are presented more simply and less formally than is often the case in similar titles. Supplementary materials are available upon request for all instructors who adopt this book as a course text. Please send your request to [email protected]. This book is also available as a set with Volume 2: CALCULUS: Theory and Applications.