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Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24 Book

Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24
Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24, 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 form, Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24 has a rating of 5 stars
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Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24, 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 form, Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24
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  • Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24
  • Written by author Krishna M. Garg
  • Published by Wiley, John & Sons, Incorporated, September 1998
  • 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 form
  • 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 form
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General Introduction1
Pt. IA Unified Theory of Unilateral Derivates7
Ch. 1Definitions, Notations, and Preliminary Results9
Ch. 2Some Fundamental Theorems on Unilateral Derivates23
Ch. 3Baire Class and Measurability of Derivates and Medians37
Pt. IIA Theory of Some New Derivatives53
Ch. 4Definitions of New Derivatives and Preliminary Results57
Ch. 5Existence of New Derivatives77
Ch. 6Normal Level Structure and Other Derivability Theorems89
Ch. 7Calculus of New Derivatives115
Pt. IIITheory of New Derivatives (Continued)161
Ch. 8Mean Value Theorems and Related Results in Terms of New Derivatives163
Ch. 9Monotonicity and Other Properties in Terms of New Derivatives189
Ch. 10Properties of New Derivatives and New Derivability Sets215
Ch. 11Denjoy and Perron Integrals Corresponding to New Derivatives235
Pt. IVSome Direct Applications of the Theory of New Derivatives275
Ch. 12Derivates and Derivability of Symmetric, Quasismooth and Smooth Functions277
Ch. 13Differential Structure at Nonmonotonicity Points and Nowhere Monotone and Nonderivable Functions297
Ch. 14Strong Derivates and Strong Derivative315
Pt. VUnified Axiomatic Theories of Generalized Derivatives329
Ch. 15An Axiomatic Model of Generalized Limits and Derivates333
Ch. 16A Unified Theory of Generalized Derivatives357
Ch. 17A Unified Theory of Generalized Symmetric Derivatives385
Ch. 18A Unified Theory of Generalized New Derivatives419
Pt. VIUnified Theories of Some Other Aspects of Generalized Derivates and Derivatives443
Ch. 19A Unified Theory of Generalized Derivates of Typical Continuous Functions445
Ch. 20A Unified Theory of Generalized Smooth Functions469
Ch. 21A Unified Axiomatic Theory of Generalized Perron Integrals477
References503
Index of Symbols515
Subject Index521


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Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24, 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 form, Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24

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Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24, 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 form, Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24

Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24

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Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24, 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 form, Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24

Theory of Differentiation: A Unified Theory of Differentiation Via New Derivate Theorems and New Derivatives, Vol. 24

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