Book contents
- Frontmatter
- Contents
- 1 Introduction
- 2 Context
- 3 Why moving plates?
- 4 Solid, yielding mantle
- 5 Convection
- 6 The plate mode of convection
- 7 The plume mode of convection
- 8 Perspective
- 9 Evolution and tectonics
- 10 Mantle chemical evolution
- 11 Assimilating mantle convection into geology
- Appendix A Exponential growth and decay
- Appendix B Thermal evolution details
- Appendix C Chemical evolution details
- References
- Index
Appendix A - Exponential growth and decay
Published online by Cambridge University Press: 03 May 2011
- Frontmatter
- Contents
- 1 Introduction
- 2 Context
- 3 Why moving plates?
- 4 Solid, yielding mantle
- 5 Convection
- 6 The plate mode of convection
- 7 The plume mode of convection
- 8 Perspective
- 9 Evolution and tectonics
- 10 Mantle chemical evolution
- 11 Assimilating mantle convection into geology
- Appendix A Exponential growth and decay
- Appendix B Thermal evolution details
- Appendix C Chemical evolution details
- References
- Index
Summary
At a number of places in this book, a situation has given rise to exponential growth or decay. Although these situations have been analysed without using calculus, as promised, it may be useful to those who know some basic calculus to present the more rigorous solution that calculus allows. Exponential behaviour arises in a standard way, so we can start with a general situation. The resulting solution can then be adapted to particular situations by appropriately identifying the variables. Some of the particular situations will be covered in this appendix, whereas others will be covered in later appendices.
Exponential solution
Suppose something is growing larger, and the rate at which it grows is proportional to its present size. Let's call the something y and its rate of growth v.
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- Mantle Convection for Geologists , pp. 208 - 210Publisher: Cambridge University PressPrint publication year: 2011
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