Calculus of One Variable

Author: Stanley I. Grossman

Publisher: Academic Press

ISBN: 1483262464

Category: Mathematics

Page: 906

View: 8031

Calculus of One Variable, Second Edition presents the essential topics in the study of the techniques and theorems of calculus. The book provides a comprehensive introduction to calculus. It contains examples, exercises, the history and development of calculus, and various applications. Some of the topics discussed in the text include the concept of limits, one-variable theory, the derivatives of all six trigonometric functions, exponential and logarithmic functions, and infinite series. This textbook is intended for use by college students.

Calculus of One Variable

Author: K.E. Hirst

Publisher: Springer Science & Business Media

ISBN: 1846282225

Category: Mathematics

Page: 268

View: 3367

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

Calculus of a Single Variable

Author: Ron Larson,Bruce H. Edwards

Publisher: Cengage Learning

ISBN: 1337514519

Category: Mathematics

Page: 50

View: 1813

With a long history of innovation in the calculus market, the Larson/Edwards’ CALCULUS program has been widely praised by a generation of students and professors for solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title in the series is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. For use in or out of the classroom, the companion website offers free access to multiple tools and resources to supplement students’ learning. Stepped-out solution videos with instruction are available at for selected exercises throughout the text. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Advanced Calculus of a Single Variable

Author: Tunc Geveci

Publisher: Springer

ISBN: 331927807X

Category: Mathematics

Page: 382

View: 7559

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.

The How and Why of One Variable Calculus

Author: Amol Sasane

Publisher: John Wiley & Sons

ISBN: 1119043387

Category: Mathematics

Page: 464

View: 8808

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 analysis text. The How and Why of One Variable Calculus closes this gap in providing a rigorous treatment that takes an original and valuable approach between calculus and analysis. Logically organized and also very clear and user-friendly, it covers 6 main topics; real numbers, sequences, continuity, differentiation, integration, and series. It is primarily concerned with developing an understanding of the tools of calculus. The author presents numerous examples and exercises that illustrate how the techniques of calculus have universal application. The How and Why of One Variable Calculus presents an excellent text for a first course in calculus for students in the mathematical sciences, statistics and analytics, as well as a text for a bridge course between single and multi-variable calculus as well as between single variable calculus and upper level theory courses for math majors.

Problems in calculus of one variable

(with elements of theory)

Author: Isaak Abramovich Maron

Publisher: N.A


Category: Mathematics

Page: 453

View: 5669

How To Learn Calculus Of One Variable

Author: J. D. Ghosh

Publisher: New Age International

ISBN: 8122415296


Page: 704

View: 3522

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.

Calculus Of One Variable

Author: G. S. Pandey

Publisher: New Age International

ISBN: 9788122401592


Page: 280

View: 332

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.

Calculus of Several Variables

Author: Serge Lang

Publisher: Springer Science & Business Media

ISBN: 1461210682

Category: Mathematics

Page: 619

View: 4325

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.

Calculus of one variable

Author: Joseph W. Kitchen

Publisher: N.A


Category: Calculus

Page: 785

View: 8039

Calculus of One Variable

Author: J. Douglas Faires,Barbara Trader Faires

Publisher: Random House Trade


Category: Calculus

Page: 707

View: 6981

Advanced Calculus of Several Variables

Author: C. H. Edwards

Publisher: Academic Press

ISBN: 1483268055

Category: Mathematics

Page: 470

View: 3238

Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones. The classical applications and computational methods that are responsible for much of the interest and importance of calculus are also considered. This text is organized into six chapters. Chapter I deals with linear algebra and geometry of Euclidean n-space Rn. The multivariable differential calculus is treated in Chapters II and III, while multivariable integral calculus is covered in Chapters IV and V. The last chapter is devoted to venerable problems of the calculus of variations. This publication is intended for students who have completed a standard introductory calculus sequence.

More Calculus of a Single Variable

Author: Peter R. Mercer

Publisher: Springer

ISBN: 1493919261

Category: Mathematics

Page: 411

View: 3433

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

Author: Robert T. Seeley

Publisher: N.A


Category: Calculus

Page: 608

View: 8536

Advanced Calculus


Author: Lynn Harold Loomis,Shlomo Sternberg

Publisher: World Scientific Publishing Company

ISBN: 9814583952

Category: Mathematics

Page: 596

View: 4167

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.

Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series

Author: William F. Trench,Bernard Kolman

Publisher: Academic Press

ISBN: 1483220451

Category: Mathematics

Page: 94

View: 3641

Answers to Selected Problems in Multivariable Calculus with Linear Algebra and Series contains the answers to selected problems in linear algebra, the calculus of several variables, and series. Topics covered range from vectors and vector spaces to linear matrices and analytic geometry, as well as differential calculus of real-valued functions. Theorems and definitions are included, most of which are followed by worked-out illustrative examples. The problems and corresponding solutions deal with linear equations and matrices, including determinants; vector spaces and linear transformations; eigenvalues and eigenvectors; vector analysis and analytic geometry in R3; curves and surfaces; the differential calculus of real-valued functions of n variables; and vector-valued functions as ordered m-tuples of real-valued functions. Integration (line, surface, and multiple integrals) is also covered, together with Green's and Stokes's theorems and the divergence theorem. The final chapter is devoted to infinite sequences, infinite series, and power series in one variable. This monograph is intended for students majoring in science, engineering, or mathematics.