Elementary Differential and Integral Calculus

Elementary Differential and Integral Calculus
Author: G. Lewingdon Parsons
Publisher: Cambridge University Press
Total Pages: 379
Release: 2016-07-28
Genre: Mathematics
ISBN: 1316612694

Originally published in 1936, this book was written with the intention of preparing candidates for the Higher Certificate Examinations. The text was created to bridge the gap between introductions to differential and integral calculus and advanced textbooks on the subject. This volume will be of value to anyone with an interest in differential and integral calculus, mathematics and the history of education.

Differential and Integral Calculus, Volume 1

Differential and Integral Calculus, Volume 1
Author: Richard Courant
Publisher: John Wiley & Sons
Total Pages: 634
Release: 2011-08-15
Genre: Mathematics
ISBN: 1118031490

The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.

Elementary Integral Calculus

Elementary Integral Calculus
Author: G. Lewingdon Parsons
Publisher: Cambridge University Press
Total Pages: 139
Release: 2016-07-28
Genre: Mathematics
ISBN: 1316612643

Originally published in 1926, this book was written to provide mathematical and scientific students with an introduction to the subject of integral calculus. The text was largely planned around the syllabus for the Higher Certificate Examination. A short historical survey is included. This book will be of value to anyone with an interest in integral calculus, mathematics and the history of education.

Single Variable Differential and Integral Calculus

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.