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Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts)
 
 
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Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts) [Hardcover]

Krishna M. Garg (Author)

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Book Description

September 23, 1998 0471253871 978-0471253877 1
Theory of differentiation includes all aspects of various kinds of derivates and derivatives, and the theory of various Perron and Denjoy-Perron integrals. Derivative theorems covered are theorems on unilateral (or Dini) derivates. Through a cohesive format, outstanding problems are resolved, new ones are presented, and developments in this field, both past and present, are covered.

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Theory of differentiation includes all aspects of various kinds of derivates and derivatives, and the theory of various Perron and Denjoy-Perron integrals. Derivative theorems covered are theorems on unilateral (or Dini) derivates. Through a cohesive format, outstanding problems are resolved, new ones are presented, and developments in this field, both past and present, are covered.

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Inside This Book (learn more)
First Sentence:
In this chapter we present some definitions, notations, and preliminary results that are used throughout the present work. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
symmetric derivates, unilateral derivates, generalized derivates, derivability sets, strong derivates, typical continuous functions, nonmeager set, nonderivable functions, derivability hypothesis, derivability theorem, ordinary derivability, derivate theorem, approximate derivates, ordinary derivates, following monotonicity theorem, den vates, nowhere monotone functions, knotted function, knotted lower derivatives, strong derivability, lower singular, new derivability, lower knotted, congruent derivative, unilateral derivatives
Key Phrases - Capitalized Phrases (CAPs): (learn more)
First Derivate Theorem, Third Derivate Theorem, Second Mean Value Theorem, First Derivability Theorem, Status Theorems, Third Derivability Theorem, Second Monotonicity Theorem, Second Derivability Theorem, Fifth Derivate Theorem, Third Median Theorem, Fifth Derivability Theorem, Fourth Monotonicity Theorem, Second Status Theorem, Third Monotonicity Theorem, Fourth Derivability Theorem, Fifth Status Theorem, First Monotonicity Theorem, Morse's Theorem, Second Median Theorem, First Induction Theorem, Fourth Median Theorem, H-admissible H-derivates, Seventh Status Theorem, Third Induction Theorem, Third Status Theorem
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