## Details

**Table of Contents**

Preface pp i-xv

THEORY OF INTEGRATION pp. 1-2

Chapter 1. Modified Numerical Integral Formula for Unequal Sub-Intervals using Cubic Spline Interpolation Formula

(B.S. Bhadauria, and A.K. Singh)pp. 3-10

Chapter 2. Fuzzy Integral-Based T- and S-Evaluators: Sugeno Integral

(Slavka Bodjanova, and Martin Kalina)pp. 11-30

Chapter 3. Fuzzy Integral-Based T- and S-Evaluators: Shilkret and Choquet Integrals

(Slavka Bodjanova, and Martin Kalina)pp. 31-54

Chapter 4. Named Sets and Integration of Structures

(Mark Burgin)pp. 55-98

Chapter 5. Integration in Bundles with a Hyperspace Base: Indefinite Integration

(Mark Burgin)pp. 99-138

Chapter 6. On New Integral Operator in Complex Domain

(Maslina Darius, Rabha W. Ibrahim)pp. 139-148

Chapter 7. An Abstract Gauge Integral

(Isidore Fleischer)pp. 149-152

Chapter 8. A Criterion for the Saks-Heinstok Lemma in a Topological Vector Space

(Toshiharu Kawasaki)pp. 153-164

MATHEMATICAL APPLICATIONS OF INTEGRATION pp. 165-166

Chapter 9. Nonlinear Cauchy-Kowalewski Theorem in Extrafunctions

(Mark Burgin)pp. 167-202

Chapter 10. Existence of Solutions for Fractional Integral Inclusions with Time Delay

(Rabha W. Ibrahim)pp. 203-214

Chapter 11. Length of Ray Images under Analytic Maps

(V. Karunakaran and K. Bhuvaneswari)pp. 215-222

Chapter 12. Generalized Quotients and Laplace Transform

(V. Karunakaran and R. Angeline Chella Rajathi)pp. 223-230

Chapter 13. Nonsquare Constants of Orlicz Sequence Spaces

(Z.D. Ren)pp. 231-248

Chapter 14. An Extension of Stiltjes Transform

(R. Roopkumar)pp. 249-262

INTEGRATION OF RANDOM PROCESSES pp. 263-264

Chapter 15. Properties of Conditional Hyperprobabilities

(M. Burgin and A. Krinik)pp. 265-288

Chapter 16. Mathematical Models in Finance and Negative Probability

(Mark Burgin and Gunter Meissner)pp. 289-312

Chapter 17. Some Models for Standard and Assisted Cell Mutations

(J. Gani and R.J. Swift)pp. 313-322

Chapter 18. The Irreducible Three and Four-State Markov Process

(Lilinoe Harbottle , Blake Hunter and Alan Krinik)pp. 323-342

Chapter 19. Sequential Hypothesis Testing with Spatially Correlated Count Data

(Judy X. Li, Daniel R. Jeske, Jesús R. Lara and Mark Hoddle)pp. 343-358

GENERAL APPLICATIONS OF INTEGRATION pp. 359-360

Chapter 20. Topological Structure of Information Channels and Channel Operators

(Yuichiro Kakihara)pp. 361-374

Chapter 21. The Entropy Functional’s and the Information Path Functional’s Basics with the Thermodynamics and Cooperative Information Dynamics Applications

(Vladimir S. Lerner)pp. 375-416

Chapter 22. An Integral Equation Approach to the Static Analysis of Stiffened Plates – Application to Concrete or to Composite Steel-Concrete Structures

(E.J. Sapountzakis)pp. 417-458

Index pp. 459-465