More Calculus of a Single Variable

by Peter R. Mercer
More Calculus of a Single Variable
Author: Peter R. Mercer
Publisher: Springer
Total Pages: 419
Release: 2014-10-17
Genre: Mathematics
ISBN: 1493919261
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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

by Deborah Hughes-Hallett
Calculus
Author: Deborah Hughes-Hallett
Publisher: Wiley
Total Pages: 0
Release: 1997-10-24
Genre: Mathematics
ISBN: 9780471164432
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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.

Calculus: Late Transcendentals Single Variable

by Jon Rogawski
Calculus: Late Transcendentals Single Variable
Author: Jon Rogawski
Publisher: Macmillan Higher Education
Total Pages: 3118
Release: 2019-04-29
Genre: Mathematics
ISBN: 1319270395
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The authors goal for the book is that its clearly written, could be read by a calculus student and would motivate them to engage in the material and learn more. Moreover, to create a text in which exposition, graphics, and layout would work together to enhance all facets of a student’s calculus experience. They paid special attention to certain aspects of the text: 1. Clear, accessible exposition that anticipates and addresses student difficulties. 2. Layout and figures that communicate the flow of ideas. 3. Highlighted features that emphasize concepts and mathematical reasoning including Conceptual Insight, Graphical Insight, Assumptions Matter, Reminder, and Historical Perspective. 4. A rich collection of examples and exercises of graduated difficulty that teach basic skills as well as problem-solving techniques, reinforce conceptual understanding, and motivate calculus through interesting applications. Each section also contains exercises that develop additional insights and challenge students to further develop their skills.

Advanced Calculus of a Single Variable

by Tunc Geveci
Advanced Calculus of a Single Variable
Author: Tunc Geveci
Publisher: Springer
Total Pages: 391
Release: 2016-03-30
Genre: Mathematics
ISBN: 331927807X
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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

by James Stewart
Single Variable Calculus
Author: James Stewart
Publisher: Brooks/Cole
Total Pages: 0
Release: 2007-11
Genre: Calculus
ISBN: 9780495383659
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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.

Essential Calculus

by James Stewart
Essential Calculus
Author: James Stewart
Publisher: Cengage Learning
Total Pages: 0
Release: 2012-02-10
Genre: Mathematics
ISBN: 9781133112297
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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.

Calculus of a Single Variable

by Earl William Swokowski
Calculus of a Single Variable
Author: Earl William Swokowski
Publisher: PWS Publishing Company
Total Pages: 800
Release: 1991
Genre: Mathematics
ISBN: 9780534925840
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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.