Culbert B. Laney is an Affiliate Faculty member with the Department of Mechanical Engineering at George Mason University. From 1991 to 1996, he was an Assistant Professor of Aerospace Engineering Sciences at the University of Colorado, Boulder. From 2002 to 2003, he was a Visiting Associate Professor of Mechanical and Aerospace Engineering at the University of Florida, Research Engineering and Education Facility. The author obtained a B.S. in Mathematics from the University of Maryland in 1984, an M.S. in Computer Science from Cornell University in 1989, and a Ph.D. in Applied Mathematics from Cornell University in 1991.

• About the Author About the Book ("Frequently Asked Questions") 1: Introduction 2: Basic Properties 3: Distributions and Averages 4: Computational Methods 5: Analytic, Semi-Empirical, and Empirical Methods 6: Particle Shape Distributions 7: Particle Velocity Distributions 8: Particle Energy Distributions 9: Aggregation Cascades Part 1: Mean-Field Governing Equations 10: Aggregation Cascades Part 2: Full Mean-Field Solutions 11: Aggregation Cascades Part 3: Late-Time Mean-Field Solutions 12: Fragmentation Cascades Part 1: Mean-Field Theory for Binary Fragmentation 13: Fragmentation Cascades Part 2: Mean-Field Theory for Random Fragmentation 14: Fragmentation Cascades Part 3: Mean-Field Theory for Collisional Fragmentation 15: Unitary Fragmentation Part 1: Basic Principles 16: Unitary Fragmentation Part 2: Average Sizes 17: Unitary Fragmentation Part 3: Size Distributions 18: Maximum Entropy Theory for Discrete Particle Systems 19: Maximum Entropy Theory for Continuous Particle Systems 20: Conclusions Appendix A: Different Forms of Common Size Distributions

Culbert B. Laney is an Affiliate Faculty member with the Department of Mechanical Engineering at George Mason University. From 1991 to 1996, he was an Assistant Professor of Aerospace Engineering Sciences at the University of Colorado, Boulder. From 2002 to 2003, he was a Visiting Associate Professor of Mechanical and Aerospace Engineering at the University of Florida, Research Engineering and Education Facility. The author obtained a B.S. in Mathematics from the University of Maryland in 1984, an M.S. in Computer Science from Cornell University in 1989, and a Ph.D. in Applied Mathematics from Cornell University in 1991.

• About the Author About the Book ("Frequently Asked Questions") 1: Introduction 2: Basic Properties 3: Distributions and Averages 4: Computational Methods 5: Analytic, Semi-Empirical, and Empirical Methods 6: Particle Shape Distributions 7: Particle Velocity Distributions 8: Particle Energy Distributions 9: Aggregation Cascades Part 1: Mean-Field Governing Equations 10: Aggregation Cascades Part 2: Full Mean-Field Solutions 11: Aggregation Cascades Part 3: Late-Time Mean-Field Solutions 12: Fragmentation Cascades Part 1: Mean-Field Theory for Binary Fragmentation 13: Fragmentation Cascades Part 2: Mean-Field Theory for Random Fragmentation 14: Fragmentation Cascades Part 3: Mean-Field Theory for Collisional Fragmentation 15: Unitary Fragmentation Part 1: Basic Principles 16: Unitary Fragmentation Part 2: Average Sizes 17: Unitary Fragmentation Part 3: Size Distributions 18: Maximum Entropy Theory for Discrete Particle Systems 19: Maximum Entropy Theory for Continuous Particle Systems 20: Conclusions Appendix A: Different Forms of Common Size Distributions

Culbert B. Laney is an Affiliate Faculty member with the Department of Mechanical Engineering at George Mason University. From 1991 to 1996, he was an Assistant Professor of Aerospace Engineering Sciences at the University of Colorado, Boulder. From 2002 to 2003, he was a Visiting Associate Professor of Mechanical and Aerospace Engineering at the University of Florida, Research Engineering and Education Facility. The author obtained a B.S. in Mathematics from the University of Maryland in 1984, an M.S. in Computer Science from Cornell University in 1989, and a Ph.D. in Applied Mathematics from Cornell University in 1991.

• About the Author About the Book ("Frequently Asked Questions") 1: Introduction 2: Basic Properties 3: Distributions and Averages 4: Computational Methods 5: Analytic, Semi-Empirical, and Empirical Methods 6: Particle Shape Distributions 7: Particle Velocity Distributions 8: Particle Energy Distributions 9: Aggregation Cascades Part 1: Mean-Field Governing Equations 10: Aggregation Cascades Part 2: Full Mean-Field Solutions 11: Aggregation Cascades Part 3: Late-Time Mean-Field Solutions 12: Fragmentation Cascades Part 1: Mean-Field Theory for Binary Fragmentation 13: Fragmentation Cascades Part 2: Mean-Field Theory for Random Fragmentation 14: Fragmentation Cascades Part 3: Mean-Field Theory for Collisional Fragmentation 15: Unitary Fragmentation Part 1: Basic Principles 16: Unitary Fragmentation Part 2: Average Sizes 17: Unitary Fragmentation Part 3: Size Distributions 18: Maximum Entropy Theory for Discrete Particle Systems 19: Maximum Entropy Theory for Continuous Particle Systems 20: Conclusions Appendix A: Different Forms of Common Size Distributions