More Calculus of a Single Variable

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Calculus
Cover of the book More Calculus of a Single Variable by Peter R. Mercer, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Peter R. Mercer ISBN: 9781493919260
Publisher: Springer New York Publication: October 17, 2014
Imprint: Springer Language: English
Author: Peter R. Mercer
ISBN: 9781493919260
Publisher: Springer New York
Publication: October 17, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer New York

Cover of the book Branched Chain Amino Acids in Clinical Nutrition by Peter R. Mercer
Cover of the book Approximation by Multivariate Singular Integrals by Peter R. Mercer
Cover of the book Building a Roll-Off Roof Observatory by Peter R. Mercer
Cover of the book Global Analysis of Nonlinear Dynamics by Peter R. Mercer
Cover of the book Advanced Surgical Techniques for Rural Surgeons by Peter R. Mercer
Cover of the book Structural Interfaces and Attachments in Biology by Peter R. Mercer
Cover of the book Progress in Motor Control by Peter R. Mercer
Cover of the book Writing Virtual Environments for Software Visualization by Peter R. Mercer
Cover of the book Limits, Series, and Fractional Part Integrals by Peter R. Mercer
Cover of the book Anticipatory Systems by Peter R. Mercer
Cover of the book Interdisciplinary Applications of the Person-Centered Approach by Peter R. Mercer
Cover of the book Lithium-Ion Batteries by Peter R. Mercer
Cover of the book The Th2 Type Immune Response in Health and Disease by Peter R. Mercer
Cover of the book Classic Telescopes by Peter R. Mercer
Cover of the book Stem Cells and Tissue Engineering by Peter R. Mercer
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy