Author: Carlos Polanco

Differential and Integral Calculus - Theory and Cases

eBook: US $39 Special Offer (PDF + Printed Copy): US $66
Printed Copy: US $47
Library License: US $156
ISBN: 978-981-14-6510-9 (Print)
ISBN: 978-981-14-6512-3 (Online)
Year of Publication: 2020
DOI: 10.2174/97898114651231200101


Differential and Integral Calculus - Theory and Cases is a complete textbook designed to cover basic calculus at introductory college and undergraduate levels. Chapters provide information about calculus fundamentals and concepts including real numbers, series, functions, limits, continuity, differentiation, antidifferentiation (integration) and sequences. Readers will find a concise and clear study of calculus topics, giving them a solid foundation of mathematical analysis using calculus. The knowledge and concepts presented in this book will equip students with the knowledge to immediately practice the learned calculus theory in practical situations encountered at advanced levels.

Key Features:

- Complete coverage of basic calculus, including differentiation and integration

- Easy to read presentation suitable for students

- Information about functions and maps

- Case studies and exercises for practical learning, with solutions

- References for further reading



Differential Calculus by Carlos Polanco is a clear and nicely written introductory textbook for first year calculus, presenting a valuable reference tool for students as well as for their teachers. The book is very well structured and provides a thorough insight into the significance of differential calculus and its outreach for many applications and disciplines. Especially, the presentation of various examples and case studies will help the readers to deepen their acquired knowledge and to relate the theory to practice. In essence, Carlos Polanco’s Differential Calculus is a stimulating but also rigorous source that I wish would be essential part of any introductory course into this domain.

Thomas Buhse
Universidad Autónoma del Estado de Morelos
Cuernavaca Morelos, Mexico


In his book that covers one academic year of differential and integral calculus for the first-year students, Dr. Carlos Polanco elegantly describes fundamentals of this discipline. The author was able to overcome the usual gap between theory and practice providing in each chapter a multitude of useful examples, exercises, and case studies. This makes the related concepts of Differential Calculus more apprehendable and helps the Reader, even without rigorous mathematical background, to understand these concepts and immediately use them in practice. This book can be used as auxiliary book for students interested in this field, as a reference book for seasoned Researcher, or as a subject refresher for the Researchers in related fields.

Vladimir N. Uversky
University of South Florida
Tampa, Florida, USA


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