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Anmerkung: Contents Preface Part I Introduction 1 Applications and uses of diatoms: prologue / EUGENE F. STOERMER AND JOHN P. SMOL Part II Diatoms as indicators of environmental change in flowing waters and lakes 2 Assessing environmental conditions in rivers and streams with diatoms / R. JAN STEVENSON AND YANGDONG PAN 3 Diatoms as indicators of hydrologic and climatic change in saline lakes / SHERILYN C. FRITZ, BRIAN F. CUMMING, FRANQOISE GASSE, AND KATHLEEN R. LAIRD 4 Diatoms as mediators of biogeochemical silica depletion in the Laurentian Great Lakes / CLAIRE L. SCHELSKE 5 Diatoms as indicators of surface water acidity / RICHARD W. BATTARBEE, DONALD F. CHARLES, SUSHIL S. DIXIT, AND INGEMAR RENBERG 6 Diatoms as indicators of lake eutrophication / ROLAND I. HALL AND JOHN P. SMOL 7 Continental diatoms as indicators of long-term environmental change / J. PLATT BRADBURY 8 Diatoms as indicators of water level change in freshwater lakes / JULIE A. WOLIN AND HAMISH C. DUTHIE Part III Diatoms as indicators in extreme environments 9 Diatoms as indicators of environmental change near arctic and alpine treeline / ANDRE F. LOTTER, REINHARD PIENITZ, AND ROLAND SCHMIDT 10 Freshwater diatoms as indicators of environmental change in the High Arctic / MARIANNE S. V. DOUGLAS AND JOHN P. SMOL 11 Diatoms as indicators of enviromental change in antarctic freshwaters / SARAH A. SPAULDING AND DIANE M. MCKNIGHT 12 Diatoms of aerial habitats / JEFFREY R. JOHANSEN Part IV Diatoms as indicators in marine and estuarine environments 13 Diatoms as indicators of coastal paleoenvironments and relative sea-level change / LUC DENYS AND HEIN DE WOLF 14 Diatoms and environmental change in brackish waters / PAULI SNOEIJS 15 Applied diatom studies in estuaries and shallow coastal environments / MICHAEL J. SULLIVAN 16 Estuarine paleoenyironmental reconstructions using diatoms / SHERRI R. COOPER 17 Diatoms and marine paleoceanography / CONSTANCE SANCETTA PartV Other applications 18 Diatoms and archeology / STEVEN JUGGINS AND NIGEL CAMERON 19 Diatoms in oil and gas exploration / WILLIAM N. KREBS 20 Forensic science and diatoms / ANTHONY J. PEABODY 21 Toxic and harmful marine diatoms / GRETA A. FRYXELL AND MARIA C. VILLAC 22 Diatoms as markers of atmospheric transport / MARGARET A. HARPER 23 Diatomite / DAVID M. HARWOOD Part VI Conclusions 24 Epilogue: a view to the future / EUGENE F. STOERMER AND JOHN P. SMOL Glossary, and acronyms Index

Anmerkung: Contents Preface Acknowledgements Part 1: Introduction 1 Sedimentology in the earth sciences 1.1 Introduction: sedimentology and earth cycling 1.2 Erosional drainage basins and depositional sedimentary basins 1.3 Global sediment discharge and earth recycling: the rock cycle 1.4 Comparative interplanetary sedimentology 1.5 Practical sedimentology 1.6 A brief history of sedimentology Part 2: Origin and Types of Sediment Grains 2 Water-rock interactions: chemical and physical breakdown of catchment bedrock to soil and elastic sediment grains 2.1 Introduction 2.2 Natural waters as proton donors: pH, acid hydrolysis and limestone weathering 2.3 Metallic ions, electron transfer and Eh-pH diagrams 2.4 Behaviour of silicate minerals during chemical weathering: breakdown products and newly formed minerals 2.5 Acid rain and whole-catchment studies of chemical weathering 2.6 The rates and mechanisms of chemical weathering 2.7 A simple index of chemical alteration (CIA) 2.8 Vegetation, chemical weathering and the Precambrian controversy 2.9 Physical weathering 2.10 Soils as valves and filters for the natural landscape 3 The inorganic and organic precipitation of sediment: chemical, biochemical and biological 3.1 Marine and freshwater chemical composition: chemical fluxes to and from the oceans 3.2 The carbonate system in the oceans 3.3 Advances in understanding carbonate reaction kinetics and their significance 3.4 Pre-Recent and future CaCO3 reactions 3.5 Ooids 3.6 Carbonate grains from plants and animals 3.7 Carbonate muds, oozes and chalks 3.8 Other carbonate grains of biological origins 3.9 Organic productivity, sea-level and atmospheric controls of biogenic CaCO3 deposition rates 3.10 CaCO3 dissolution in the deep ocean and the oceanic CaCO3 compensation mechanism 3.11 Evaporite salts and their inorganic precipitation 3.12 Silica and pelagic plankton 3.13 Iron minerals and biomineralizers 3.14 Phosphates Part 3: User's Guide to Sedimentological Fluid Dynamics 4 Back to basics: fluid flow in general 4.1 Introduction 4.2 Material properties of fluids 4.3 Plastic behaviour 4.4 Dimensionless numbers 4.5 Reference frames for flows 4.6 The concepts of flow steadiness and uniformity 4. 7 Visualization of flow patterns 4.8 Ideal (potential) flow 4.9 Dynamics of fluid motion 4.10 Strategies for coping with the dynamic equations 5 Flow in the real world: laminar and turbulent behaviour 5.1 Osborne Reynolds and types of flow 5.2 The distribution of velocity in viscous flows: the boundary layer 5.3 Turbulent flow 5.4 The distribution of velocity in turbulent flows 5.5 Shear velocity, bed roughness, bed shear stress and flow power 5.6 The periodic coherent structures of turbulent shear flows 5.7 Shear flow instabilities, flow separation and secondary currents 6 Sediment grains in fluids: settling, transport and feedback 6.1 Introduction 6.2 Fall of grains through stationary fluids 6.3 Natural flows carrying particulate material are complex 6.4 Fluids as transporting machines 6.5 Initiation of particle motion 6.6 Initiation of motion by air flow 6.7 Paths of grain motion 6.8 Solid transmitted stresses 6.9 A dynamic sediment suspension theory 6.10 A warning: nonequilibrium effects may dominate natural sediment transport systems 6.11 Steady state, deposition or erosion: the sediment continuity equation Part 4: Sediment Transport and Sedimentary Structures 7 Bedforms and structures formed by unidirectional water flows over granular sediment 7.1 The 'trinity' of flow, transport and bedform 7.2 Current ripples 7.3 Lower-stage plane beds and cluster bedforms 7.4 Dunoids (bars, 2D dunes) 7.5 Dunes 7.6 Upper-stage plane beds 7.7 Antidunes, transverse ribs, chutes and pools, and related forms 7.8 Bedforms and sediment transport in poorly sorted sediment 7.9 Bedform phase diagrams 7.10 Bedform 'lag' effects 7.11 Bedform theory 7.12 Measurement of palaeocurrents and problems arising from trough-shaped sets of cross- stratification 8 Bedforms and structures formed by atmospheric flows 8.1 Introduction: some contrasts between air and water flows 8.2 Aeolian bedforms in general 8.3 Ballistic ripples and ridges 8.4 Dunes in general 8.5 Flow-transverse dunes 8.6 Flow-parallel dunes 8.7 Complex flow dunes 8.8 Vegetated parabolic dunes 9 Oscillatory water waves, combined flows and tides: their bedforms and structures 9.1 Introduction 9.2 Simple wave theory 9.3 Near-bed flow and bedforms 9.4 Combined flows, wave-current ripples and hummocky cross-stratification 9.5 Tidal flows 10 Bedforms and cohesive sediment transport and erosion 10.1 The 'special' case of clays and cohesive beds 10.2 Flow erosion of cohesive beds 10.3 Erosion by 'tools' 11 Sediment gravity flows and their deposits 11.1 Introduction and static grain aggregates 11.2 Static friction and stability of granular masses 11.3 Grain flow avalanches: from cross-bedding to megabreccias 11.4 Debris flows 11.5 Turbidity flows 12 Liquefaction, liquefaction structures and other 'soft' sediment deformation structures 12.1 Liquefaction 12.2 Sedimentary structures formed by and during liquefaction 12.3 Submarine landslides, growth faults and slumps 12.4 Desiccation and synaeresis shrinkage structures Part 5: External Controls on Sediment Derivation, Transport and Deposition 13 Climate and sedimentary processes 13.1 Introduction: climate as a fundamental variable in sedimentology 13.2 Solar radiation: ultimate fuel for the climate machine 13.3 Earth's reradiation and the 'greenhouse' concept 13.4 Radiation balance, heat transfer and simple climatic models 13.5 Climate and the water cycle, 13.6 General atmospheric circulations 13.7 Global climates: a summary 13.8 Climate, mountains and plateaux 13.9 Climate change 13.10 Sedimentological evidence for palaeoclimate 14 Changing sea level and sedimentary sequences 14.1 Introduction: sea level as datum 14.2 Sea-level changes 14.3 Rates and magnitude of sea-level change 14.4 Origins of global sea-level change: slow vs. fast eustasy 14.5 Sequence stratigraphy: layers, cheesewires and bandwagons 15 Tectonics, denudation rates and sediment yields 15.1 Basic geodynamics of uplift 15.2 Elevation and gradients 15.3 Catchment processes 15.4 Erosion and denudation 15.5 Large-scale studies of denudation rates 15.6 Basinal studies of denudation and sediment flux: the inverse approach 15.7 Sediment supply, vegetation and climate change: implications for basin stratigraphy 15.8 Marine strontium isotope ratio and continental erosion rates Part 6: Sediment Deposition, Environments and Facies in Continental Environments 16 Aeolian sediments in low-latitude deserts 16.1 Introduction 16.2 Physical processes and erg formation 16.3 Modern desert bedform associations and facies 16.4 Aeolian architecture 16.5 Climate change, erg abandonment and desert-lake-river sedimentary cycles 16.6 Ancient desert facies 17 Rivers 17.1 Introduction 17.2 Channel magnitude and gradient 17.3 Channel form 17.4 Channel sediment transport processes, bedforms and internal structures 17.5 The floodplain 17.6 Channel belts, alluvial ridges, combing and avulsion 17.7 River channel changes, adjustable variables and equilibrium 17.8 The many causes of channel incision-aggradation cycles 17.9 Fluvial architecture: scale, controls and time 17.10 Fluvial deposits in the geological record 18 Alluvial fans and fan deltas 18.1 Introduction 18.2 Controls on the size (area) of fans 18.3 Physical processes on alluvial fans 18.4 Debris-flow-dominated alluvial fans 18.5 Stream-flow-dominated alluvial fans 18.6 Recognition of ancient alluvial fans 18.7 Fan deltas 19 Lakes 19.1 Introduction 19.2 Lake stratification 19.3 Clastic input by rivers and the effect of turbidity currents 19.4 Wind-forced physical processes 19.5 Chemical processes and cycles 19.6 Biological processes and cycles 19.7 Modern temperate lakes and their continental sedimentary facies 19.8 Lakes in the East African rifts 19.9 Lake Baikal 19.10 Shallow saline lakes 19.11 The succes

Anmerkung: Contents: Preface. - PART I FUNDAMENTALS. - 1 Ordinary Differential Equations. - 1.1 Ordinary Differential Equations (definitions; introductory examples). - 1.2 Initial-Value and Boundary-Value Problems (definitions; comparison of local and global analysis; examples of initialvalue problems). - 1.3 Theory of Homogeneous Linear Equations (linear dependence and independence; Wronskians; well-posed and ill-posed initial-value and boundary-value problems). - 1.4 Solutions of Homogeneous Linear Equations (how to solve constant-coefficient, equidimensional, and exact equations; reduction of order). - 1.5 Inhomogeneous Linear Equations (first-order equations; Variation of Parameters; Green's functions; delta function; reduction of order; method of undetermined coefficients). - 1.6 First-Order Nonlinear Differential Equations (methods for solving Bernoulli, Riccati, and exact equations; factoring; integrating factors; substitutions). - 1.7 Higher-Order Nonlinear Differential Equations (methods to reduce the order of autonomous, equidimensional, and scale-invariant equations). - 1.8 Eigenvalue Problems (examples of eigenvalue problems on finite and infinite domains). - 1.9 Differential Equations in the Complex Plane (comparison of real and complex differential equations). - Problems for Chapter 1. - 2 Difference Equations. - 2.1 The Calculus of Differences (definitions; parallels between derivatives and differences, integrals, and sums). - 2.2 Elementary Difference Equations (examples of simple linear and nonlinear difference equations; gamma function; general first-order linear homogeneous and inhomogeneous equations). - 2.3 Homogeneous Linear Difference Equations (constant-coefficient equations; linear dependence and independence; Wronskians; initial-value and boundary-value problems; reduction of order; Euler equations; generating functions; eigenvalue problems). - 2.4 Inhomogeneous Linear Difference Equations (Variation of parameters; reduction of order; method of undetermined coefficients). - 2.5 Nonlinear Difference Equations (elementary examples). - Problems for Chapter 2. - PART II LOCAL ANALYSIS. - 3 Approximate Solution of Linear Differential Equations. - 3.1 Classification of Singular Points of Homogeneous Linear Equations (ordinary, regulär singular, and irregulär singular points; survey of the possible kinds of behaviors of Solutions). - 3.2 Local Behavior Near Ordinary Points of Homogeneous Linear Equations (Taylor series Solution of first- and second-order equations; Airy equation). - 3.3 Local Series Expansions About Regulär Singular Points of Homogeneous Linear Equations (methods of Fuchs and Frobenius; modified Bessel equation). - 3.4 Local Behavior at Irregulär Singular Points of Homogeneous Linear Equations (failure of Taylor and Frobenius series; asymptotic relations; Controlling factor and leading behavior; method of dominant balance; asymptotic series expansion of Solutions at irregular singular points). - 3.5 Irregulär Singular Point at Infinity (theory of asymptotic power series; optimal asymptotic approximation; behavior of modified Bessel, parabolic cylinder, and Airy functions for large positive x). - 3.6 Local Analysis of Inhomogeneous Linear Equations (illustrative examples). - 3.7 Asymptotic Relations (asymptotic relations for oscillatory functions; Airy functions and Bessel functions; asymptotic relations in the complex plane; Stokes phenomenon; subdominance). - 3.8 Asymptotic Series (formal theory of asymptotic power series; Stieltjes series and integrals; optimal asymptotic approximations; error estimates; outline of a rigorous theory of the asymptotic behavior of Solutions to differential equations). - Problems for Chapter 3. - 4 Approximate Solution of Noniinear Differential Equations. - 4.1 Spontaneous Singularities (comparison of the behaviors of Solutions to linear and nonlinear equations). - 4.2 Approximate Solutions of First-Order Nonlinear Differential Equations (several examples analyzed in depth). - 4.3 Approximate Solutions to Higher-Order Nonlinear Differential Equations (Thomas-Fermi equation; first Painleve transcendent; other examples). - 4.4 Nonlinear Autonomous Systems (phase-space interpretation; Classification of critical points; one- and two-dimensional phase space). - 4.5 Higher-Order Nonlinear Autonomous Systems (brief, nontechnical survey of properties of higher-order Systems; periodic, almost periodic, and random behavior; Toda lattice, Lorenz model, and other Systems). - Problems for Chapter 4. - 5 Approximate Solution of Difference Equations. - 5.1 Introductory Comments (comparison of the behavior of differential and difference equations). - 5.2 Ordinary and Regular Singular Points of Linear Difference Equations (Classification of n = ∞ as an ordinary, a regular Singular, or an irregular singular point; Taylor and Frobenius series at ∞). - 5.3 Local Behavior Near an Irregulär Singular Point at Infinity: Determination of Controlling Factors (three general methods). - 5.4 Asymptotic Behavior of n! as n → ∞: The Stirling Series [asymptotic behavior of the gamma function Γ(x) as x → ∞ obtained from the difference equations Γ(x + 1) = xΓ(x)]. - 5.5 Local Behavior Near an Irregular Singular Point at Infinity: Full Asymptotic Series (Bessel functions of large order; Legendre polynomials of large degree). - 5.6 Local Behavior of Nonlinear Difference Equations / (Newton's method and other nonlinear difference equations; Statistical analysis of an unstable difference equation). - Problems for Chapter 5. - 6 Asymptotic Expansion of Integrals. - 6.1 Introduction (integral representations of Solutions to difference and differential equations). - 6.2 Elementary Examples (incomplete gamma function; exponential integral; other examples). - 6.3 Integration by Parts (many examples including some where the method fails). - 6.4 Laplace's Method and Watson's Lemma (modified Bessel, parabolic cylinder, and gamma functions; many other illustrative examples). - 6.5 Method of Stationary Phase (leading behavior of integrals with rapidly oscillating integrands). - 6.6 Method of Steepest Descents (steepest ascent and descent paths in the complex plane; saddle points; Stokes phenomenon). - 6.7 Asymptotic Evaluation of Sums (approximation of sums by integrals; Laplace's method for sums; Euler-Maclaurin sum formula). - Problems for Chapter 6. - PART III PERTURBATION METHODS. - 7 Perturbation Series. - 7.1 Perturbation Theory (elementary introduction; application to polynomial equations and initialvalue problems for differential equations). - 7.2 Regular and Singular Perturbation Theory (Classification of perturbation problems as regulär or Singular; introductory examples of boundary-layer, WKB, and multiple-scale problems). - 7.3 Perturbation Methods for Linear Eigenvalue Problems (Rayleigh-Schrödinger perturbation theory). - 7.4 Asymptotic Matching (matched asymptotic expansions; applications to differential equations, eigenvalue problems and integrals). - 7.5 Mathematical Structure of Perturbative Eigenvalue Problems (singularity structure of eigenvalues as functions of complex perturbing Parameter; level crossing). - Problems for Chapter 7. - 8 Summation of Series. - 8.1 Improvement of Convergence (Shanks transformation; Richardson extrapolation; Riemann zeta function). - 8.2 Summation of Divergent Series (Euler, Borel, and generalized Borel summation). - 8.3 Pade Summation (one- and two-point Pade summation; generalized Shanks transformation; many numerical examples). - 8.4 Continued Fractions and Pade Approximants (efficient methods for obtaining and evaluating Pade approximants). - 8.5 Convergence of Pade Approximants (asymptotic analysis of the rate of convergence of Pade approximants). - 8.6 Pade Sequences for Stieltjes Functions (monotonicity; convergence theory; moment problem; Carleman's condition). - Problems for Chapter 8. - PART IV GLOBAL ANALYSIS. - 9 Boundary Layer Theory. - 9.1 Introduction to Boundary-Layer Theo