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

Introduction

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

Foreword I

- Pp. i
Thomas Buhse
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Foreword II

- Pp. ii
Vladimir N. Uversky
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Preface

- Pp. iii-iv (2)
Carlos Polanco
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Acknowledgement

- Pp. v
Carlos Polanco
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List of Credits

- Pp. vi
Carlos Polanco
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List of Symbols

- Pp. viii-ix (2)
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Real Number

- Pp. 1-14 (14)
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Functions and Maps

- Pp. 15-43 (29)
Carlos Polanco*
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Limits

- Pp. 44-58 (15)
Carlos Polanco*
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Continuity

- Pp. 59-72 (14)
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Differentiation

- Pp. 73-95 (23)
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Sequences

- Pp. 96-103 (8)
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Series

- Pp. 104-115 (12)
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Sequences and Series of Functions

- Pp. 116-124 (9)
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Antidifferentiation

- Pp. 125-137 (13)
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SOLUTIONS

- Pp. 138-161 (24)
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Further Reading

- Pp. 162
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References

- Pp. 163-166 (4)
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Subject Index

- Pp. 167-169 (3)
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