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Calculus of one variable : with Python and AI / Nikolaos Halidias
- Format:
- Book
- Author/Creator:
- Halidias, Nikolaos, author.
- Language:
- English
- Subjects (All):
- Calculus.
- Python (Computer program language).
- Artificial intelligence--Mathematics.
- Artificial intelligence.
- calculus.
- Genre:
- textbooks.
- Textbooks
- Textbooks.
- Physical Description:
- 1 online resource : illustrations.
- Place of Publication:
- Berlin : De Gruyter, [2026]
- Summary:
- "This book is a textbook about calculus of one variable. It contains proofs of all the theorems, propositions etc but also Python codes in order to solve many calculus problems. To produce these codes we use AI and show to the reader how to do that. This book aims to supplement the existing bibliography concerning single-variable calculus. Material including Python code for both symbolic and approximate computations. Our goal is to appropriately use artificial intelligence to generate this code and demonstrate to students how this is approximately done. This book is extremely useful for first-year science students, their professors, and others"-- Back cover
- Contents:
- Real numbers
- Complex numbers
- Functions
- Limit of a function
- Continuity
- Differentiation
- Differentiation: theorems and techniques
- Local extrema
- Derivatives and monotonicity–convexity
- Inverse functions
- L’Hospital’s rules
- Asymptotes and asymptotic expansions
- Derivative application on approximations
- Range of a function: global extrema and bounds
- Trigonometric functions
- Hyperbolic functions
- Sequences of numbers
- Indefinite integral
- Definite integral
- The logarithmic and exponential functions
- Area of a plane region
- Improper integrals
- Notes:
- Includes bibliographical references and index
- Online resource; title from PDF title page (De Gruyter Brill, viewed June 16, 2026)
- Other Format:
- Print version: Halidias, Nikolaos. Calculus of one variable.
- ISBN:
- 9783112228296
- 3112228294
- 9783112228289
- 3112228286
- OCLC:
- 1569675043
- Publisher Number:
- CIPO000328377
- Access Restriction:
- Restricted for use by site license
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