Calculus Single Variable
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Calculus
Author | : Deborah Hughes-Hallett |
Publisher | : Wiley |
Total Pages | : 0 |
Release | : 1997-10-24 |
Genre | : Mathematics |
ISBN | : 9780471164432 |
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.
More Calculus of a Single Variable
Author | : Peter R. Mercer |
Publisher | : Springer |
Total Pages | : 419 |
Release | : 2014-10-17 |
Genre | : Mathematics |
ISBN | : 1493919261 |
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.
Single Variable Differential and Integral Calculus
Author | : Elimhan Mahmudov |
Publisher | : Springer Science & Business Media |
Total Pages | : 386 |
Release | : 2013-03-19 |
Genre | : Mathematics |
ISBN | : 9491216864 |
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.
Advanced Calculus of a Single Variable
Author | : Tunc Geveci |
Publisher | : Springer |
Total Pages | : 391 |
Release | : 2016-03-30 |
Genre | : Mathematics |
ISBN | : 331927807X |
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.
Single Variable Calculus
Author | : James Stewart |
Publisher | : Brooks/Cole |
Total Pages | : 0 |
Release | : 2007-11 |
Genre | : Calculus |
ISBN | : 9780495383659 |
James Stewart continues to set the standard for the course while adding new diagnostic tools, carefully revised content, and all-new course management tools build on the foundation of his renowned content.
Calculus of One Variable
Author | : K.E. Hirst |
Publisher | : Springer Science & Business Media |
Total Pages | : 284 |
Release | : 2005-10-25 |
Genre | : Mathematics |
ISBN | : 9781852339401 |
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
Author | : Stanley I. Grossman |
Publisher | : |
Total Pages | : 1166 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : |
Revised edition of a standard textbook for a three-semester (or four- to five-quarter) introduction to calculus. In addition to covering all the standard topics, it includes a number of features written to accomplish three goals: to make calculus easier through the use of examples, graphs, reviews, etc.; to help students appreciate the beauty of calculus through the use of applications in a wide variety of fields; and to make calculus interesting by discussing the historical development of the subject. Annotation copyright by Book News, Inc., Portland, OR
Calculus of a Single Variable
Author | : Earl William Swokowski |
Publisher | : PWS Publishing Company |
Total Pages | : 800 |
Release | : 1991 |
Genre | : Mathematics |
ISBN | : 9780534925840 |
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.
Essential Calculus
Author | : James Stewart |
Publisher | : Cengage Learning |
Total Pages | : 0 |
Release | : 2012-02-10 |
Genre | : Mathematics |
ISBN | : 9781133112297 |
This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? ESSENTIAL CALCULUS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 900 pages--two-thirds the size of Stewart's other calculus texts, and yet it contains almost all of the same topics. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books. ESSENTIAL CALCULUS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.