# krainaksiazek applied number theory 20045122

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### Applied Algebra And Number Theory

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Number theoryKsiążki Obcojęzyczne>Angielskie>Mathematics & science...**

Survey Articles On Modern Topics Related To The Work Of Harald Niederreiter, Written By Close Colleagues And Leading Experts.

Sklep: Gigant.pl

### Applied Number Theory

**Książki Obcojęzyczne>Angielskie>Mathematics & science>Mathematics>Number theoryKsiążki Obcojęzyczne>Angielskie>Computing & informati...**

Applied Number Theory

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### From Fourier Analysis and Number Theory to Radon Transforms and Geometry Springer, Berlin

**Książki / Literatura obcojęzyczna**

This publication is an outgrowth of a memorial conference for Leon Ehrenpreis held at Temple University, November 15 16, 2010. In the spirit of Ehrenpreis s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis, and some applied mathematics. The papers in this volume generally contain all new results in the various fields in which Ehrenpreis worked. §The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore. A biographical sketch of Leon Ehrenpreis enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician and gentleman.§The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore. A biographical sketch of Leon Ehrenpreis enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician and gentleman.A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.

Sklep: Libristo.pl

### Contributions in Analytic and Algebraic Number Theory Springer, Berlin

**Książki / Literatura obcojęzyczna**

Contributions in Analytic and Algebraic Number Theory: Festschrift for S. J. Patterson is a collection of surveys and original work from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions were developed from lectures presented at the Patterson 60++ International Conference on the Occasion of the 60th Birthday of Samuel J. Patterson, held at the University of Göttingen, July 27-29, 2009. Many of the included chapters were contributed by invited participants.§This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics. It is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants. §This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics.§The volume is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.

Sklep: Libristo.pl

### Handbook of Number Theory I Springer Netherlands

**Książki / Literatura obcojęzyczna**

This handbook covers a wealth of topics from number theory, special attention being given to estimates and inequalities. As a rule, the most important results are presented, together with their refinements, extensions or generalisations. These may be applied to other aspects of number theory, or to a wide range of mathematical disciplines. Cross-references provide new insight into fundamental research. §Audience: This is an indispensable reference work for specialists in number theory and other mathematicians who need access to some of these results in their own fields of research.

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### Number Theory and Cryptography Cambridge University Press

**Książki / Literatura obcojęzyczna**

In this volume, originally published in 1990, are included papers presented at two meetings; one a workshop on Number Theory and Cryptography, and the other, the annual meeting of the Australian Mathematical Society. Questions in number theory are of military and commercial importance for the security of communication, as they are related to codes and code-breaking. Papers in the volume range from problems in pure mathematics whose study has been intensified by this connection, through interesting theoretical and combinatorial problems which arise in the implementation, to practical questions that come from banking and telecommunications. The contributors are prominent within their field. The whole volume will be an attractive purchase for all number theorists, 'pure' or 'applied'.

Sklep: Libristo.pl

### Social Theory & Applied Health Research Open University Press

**Inne 1**

The book aims to provide a resource for the increasing number of students, including students from professional backgrounds, who wish to undertake social research at an advanced level, but who are dissatisfied with the assumptions of traditional research on the one hand and the inaccessibility of complex philosophies of research on the other. The book aims to provide an accessible assessment of dilemmas facing social researchers in trying to make sense of the world in health care. It further tries to link theory and method, neither by rejecting wholesale particular forms of research, nor by accepting the possibility of triangulation at a philosophical level, but by presenting an account of how reflection on a field of possibilities can help amend, complement and strengthen a practical research strategy.

Sklep: Albertus.pl

### Applied Proof Theory: Proof Interpretations and their Use in Mathematics Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book presents an applied form of proof theory that has led to new results in number theory, approximation theory, nonlinear analysis, geodesic geometry and ergodic theory (among others) in recent years . This applied approach is based on logical transformations (so-called proof interpretations) and concerns the extraction of effective data (such as bounds) from prima facie ineffective proofs as well as new qualitative results (independence of solutions from certain parameters, generalizations of proofs by elimination of premises and others). §The book first develops the necessary logical machinery emphasizing novel forms of Gödel's famous functional ('Dialectica') interpretation. It then establishes general logical metatheorems that connect these techniques with concrete mathematics. Finally, two extended case studies (one in approximation theory and one in fixed point theory) show in detail how this machinery can be applied to concrete proofs in different areas of mathematics.

Sklep: Libristo.pl

### Applied Hydro- and Aeromechanics Dover Publications

**Książki / Literatura obcojęzyczna**

ENGINEERING SOCIETIES MONOGRAPHS PREFACE INTRODUCTION CHAPTER 1 ELEMENTS OF HYDRODYNAMICS 1. The Equation of Euler for One-dimensional Flow 2. The Equation of Bernoulli for One-dimensional Flow; Three-dimensional Equation of Euler 3. Definition of Viscosity; Equation of Navier-Stokes CHAPTER II LAWS OF SIMILARITY 4. The Law of Similarity under the Action of Inertia and Viscosity 5. The Law of Similarity under the Action of Inertia and Gravity 6. Relation between Considerations of Similarity and Dimensional Analysis CHAPTER III FLOW IN PIPES AND CHANNELS A. Laminar Flow 8. General 9. The Fundamental Investigation of Hagen 10. The Investigation of Poiseuille 11. The Law of Hagen-Poiseuille 12. Derivation of Hagen-Poiseuille's Law from Newton's Viscosity Law 13. Limits of the Validity of the Hagen-Poiseuille Law 14. Phenomena Near the Entrance of the Tube 15. The Length of Transition 16. The Pressure Distribution in the Region Near the Entrance 17. The Correction Term for Kinetic Energy 18. The Velocity Distribution in the Region Near the Entrance 19. The Pressure Drop in the Entrance Region in the Case of Laminar Flow 20. The Importance of the Pressure Drop in the Entrance Region for Viscosity Measurements B. The Transition between Laminar and Turbulent Flow 21. The First Investigations by Hagen 22. The Fundamental Investigation by Reynolds 23. The Critical Reynolds' Number 24. Influence of the Initial Disturbance on the Critical Reynolds' Number 25. The Conditions at the Transition between Laminar and Turbulent Flow 26. Intermittent Occurrence of Turbulence 27. Measurements of Pressure Drop at the Transition between Laminar and Turbulent Flow 28. Independence of the Critical Reynolds' Number of the Length of the Tube C. Turbulent Flow 29. Historical Formulas for the Pressure Drop 30. The Resistance Formula of Blasius for Smooth Tubes 31. The Resistance Law for Rough Tubes 32. Roughness and Waviness of the Walls 33. Measurement of the Mean Velocity of a Turbulent Flow Means of a Pitot Tube 34. The Turbulent Velocity Distribution 35. The Turbulent Velocity Distribution in the Region of Transition Near the Entrance of the Tube 36. The Pressure Drop in the Turbulent Region of Transition 37. Convergent and Divergent Flow CHAPTER IV BOUNDARY LAYERS 38. The Region in Which Viscosity is Effective for Large Reynolds' Numbers 39. The Order or Magnitude of the Various Terms in the Equation of Navier-Stokes for Large Reynolds' Numbers 40. The Differential Equation of the Boundary Layer 41. Definition of Thickness of the Boundary Layer 42. Estimate of the Order of Magnitude of the Thickness of the Boundary Layer for the Flow along a Flat Plate 43. Skin Friction Due to a Laminar Boundary Layer 44. Back Flow in the Boundary Layer as the Cause of Formation of Vortices 45. Turbulent Boundary Layers 46. The Seventh-root Law of the Turbulent Velocity Distribution 47. Shear Stress at the Wall in the Case of a Turbulent Boundary Layer and the Thickness of This Layer 48. Friction Drag Due to a Turbulent Boundary Layer 49. Laminar Boundary Layer Inside a Turbulent one 50. Means of Avoiding the Creation of Free Vortex Sheets and Their Consequences 51. Influencing the Flow by Sucking Away the Boundary Layer 52. Rotating Cylinder and Magnus Effect CHAPTER V DRAG OF BODIES MOVING THROUGH FLUIDS 53. Fundamental Notions 54. Newton's Resistance Law 55. Modern Ideas on the Nature of Drag 56. The Deformation Resistance for Very Small Reynolds' Numbers 57. The Influence of a Very Small Viscosity on the Drag 58. The Relative Importance of Pressure Drag and Friction Drag with Various Shapes of the Body 59. The Variation of the Drag with Reynolds' Number 60. "The Laws of Pressure Drag, Friction Drag, and Deformation Drag" 61. General Remarks on the Experimental Results 62. The Relation c = f (R) for the Infinite Cylinder 63. The Region above the Critical Reynolds' Number 64. "The Resistance Law for Finite Cylinders, Spheres, and Streamlines Bodies" 65. Resistance in Fluids with Free Surfaces; Wave Resistance 66. The General Resistance Law 67. Resistance to Potential Flow 68. Drag of a Sphere Is Zero for Uniform Potential Flow 69 Resistance Due to Acceleration 70. Application of the Momentum Theorem 71. Mutual Forces between Several Bodies Moving through a Fluid 72. Resistance with Discontinuous Potential Flow 73. Stoke's Law of Resistance 74. Experimental Verification for Water; Influence of the Walls of the Vessel 75. Experimental Verification for Gases 76. Correction of Stoke's Law by Oseen 77. The Resistance of Bodies in Fluids of Very Small Viscosity 78. The Resistance of the Half Body 79. Momentum of a Source 80. The Resistance of a Body Calculated from Momentum Considerations 81. Method of Betz for the Determination of the Drag from Measurements in the Wake 82. The Kármán Trail 83. Application of the Momentum Theorem to the Kármán Trail 84. Bodies of Small Resistance; Streamlining 85. Comparison of the Calculated Pressure Distribution with the Experimental One 86. Friction Drag of Flat Plates CHAPTER VI AIRFOIL THEORY A. Experimental Results 87. Lift and Drag 88. The Ratio of Lift to Drag; Gliding angle 89. The Lift and Drag Coefficients 90. The Polar and Moment Diagrams of an Airfoil 91. Relation between the Flying Characteristics of Airfoils and Their Pofiles 92. Properties of Slotted Wings 93. The Principle of Operation of a Slotted Wing 94. Pressure Distribution on Airfoils B. The Airfoil of Infinite Length (Two-dimensional Airfoil Theory) 95. Relation beween Lift and Circulation 96. The Pressure Integral over the Airfoil Surface 97. Derivation of the Law of Kutta-Joukowsky by Means of the Flow through a Grid 98. Derivation of the Lift Formula of Kutta-Joukowsky on the Assumption of a Lifting Vortex 99. The Generation of Circulation 100. The Starting Resistance 101. The Velocity Field in the Vicinity of the Airfoil 102. Application of Conformal Mapping to the Flow round Flat or Curved Plates 103. Superposition of a Parallel Flow and a Circulation Flow 104. Determination of the Amount of Circulation 105. Joukowsky's Method of Conformal Mapping 106. Mapping of Airfoil Profiles with Finite Tail Angle C. Three-dimensional Airfoil Theory 107. Continuation of the Circulation of the Airfoil in the Wing-tip Eddies 108. Transfer of the Airplane Weight to the Surface of the Earth 109. Relation between Drag and Aspect Ratio 110. Rough Estimate of the Drag 111. The Jump in Potential behind the Wing 112. The Vortex Sheet behind the Wing with Lift Tapering toward the Tips 113. The Downward Velocity Induced by a Single Vortex Filament 114. Determination of the Induced Drag for a Given Lift Distribution 115. Minimum of the Induced Drag; the Lift Distribution of an Airfoil of Given Shape and Angle of Attack 116. Conversion Formulas 117. Mutual Influence of Bound Vortex Systems; the Unstaggered Biplane 118. The Staggered Biplane 119. The Total Induced Drag of Biplanes 120. Minimum Theorem for Multiplanes 121. The Influence of Walls and of Free Boundaries 122. Calculation of the Influece for a Circular Cross Section CHAPTER VII EXPERIMENTAL METHODS AND APPARATUS A. Pressure and Velocity Measurements 123. General Remarks on Pressure Measurement in Liquids and Gases 124. Static Pressure 125. Total Pressure 126. Velocity Measurement with Pitot-static Tube 127. Determination of the Direction of the Velocity 128. Fluid Manometers 129. Sensitive Pressure Gages 130. Vane Wheel Instruments 131. Electrical Methods of Velocity Measurement 132. Velocity Measurements in Pipes and Channels 133. Venturi Meter 134. Orifices 135. Weirs 136. Other Methods for Volume Measurement B. Drag Measurements 137. The Various Methods 138. Towing Tests 139. The Method of Free Falling 140. Rotating-arm Measurements 141. Drag Measurement in the Natural Wind 142. Advantages of Drag Measurement in an Artificial Air Stream C. Wind Tunnels 143. The First Open Wind Tunnels of Stanton and Raibouchinsky 144. The First Closed Wind Tunnels in Göttingen and London 145. The First Wind Tunnel of eiffel with Free Jet 146. Modern English Tunnels 147. The Large Wind Tunnel in Göttingen 148. Wind Tunnels in Other Countries 149. Suspension of the Models and Measurement of the Forces 150. The Three-component Balance in Göttingen 151. The Aerodynamic Balance of Eiffel D. Visualizing Flow Phenomena 152. Fundamental Difficulties 153. Mixing Smoke in air Streams 154. Motions in the Boundary Layer 155. Three-dimensional Fluid Motions 156. Two-dimensional Fluid Motions 157. Advantage of Photographs over Visual Observations 158. Streamlines and Path Lines 159. Slow and Fast Moving Pictures 160. Long-exposure Moving Pictures 161. Technical Details PLATES INDEX

Sklep: Libristo.pl

### Applied Probability Springer, Berlin

**Książki / Literatura obcojęzyczna**

This textbook on applied probability is intended for graduate students in applied mathematics, biostatistics, computational biology, computer science, physics, and statistics. It presupposes knowledge of multivariate calculus, linear algebra, ordinary differential equations, and elementary probability theory. Given these prerequisites, Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. Chapter 1 reviews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilistic applications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented with appropriate sections from Chapters 1 and 2, there is sufficient material here for a traditional semester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, and diffusion processes. Finally, Chapters 12 and 13 develop the Chen-Stein method of Poisson approximation and connections between probability and number theory. Kenneth Lange is Professor of Biomathematics and Human Genetics and Chair of the Department of Human Genetics at the UCLA School of Medicine. He has held appointments at the University of New Hampshire, MIT, Harvard, and the University of Michigan. While at the University of Michigan, he was the Pharmacia & Upjohn Foundation Professor of Biostatistics.This textbook on applied probability is intended for graduate students in applied mathematics, biostatistics, computational biology, computer science, physics, and statistics. It presupposes knowledge of multivariate calculus, linear algebra, ordinary differential equations, and elementary probability theory. Given these prerequisites, Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences.§Chapter 1 reviews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilistic applications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented with appropriate sections from Chapters 1 and 2, there is sufficient material here for a traditional semester-long course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, and diffusion processes. Finally, Chapters 12 and 13 develop the Chen-Stein method of Poisson approximation and connections between probability and number theory.§Kenneth Lange is Professor of Biomathematics and Human Genetics and§Chair of the Department of Human Genetics at the UCLA School of Medicine. He has held appointments at the University of New Hampshire, MIT, Harvard, and the University of Michigan. While at the University of Michigan, he was the Pharmacia & Upjohn Foundation Professor of Biostatistics. His research interests include human genetics, population modeling, biomedical imaging, computational statistics,§and applied stochastic processes. Springer-Verlag published his books§Numerical Analysis for Statisticians and Mathematical and Statistical Methods for Genetic Analysis Second Edition, in 1999 and 2002, respectively.

Sklep: Libristo.pl

### Applied Linguistics and Materials Development CONTINUUM

**Książki / Literatura obcojęzyczna**

Focuses for the first time on materials development and applications of current research and theory for the main areas of applied linguistics (e.g. second language acquisition, pragmatics, vocabulary studies). There are many books on applied linguistic theory and research and there are now a number of books on the principled development of materials for language learning, but this book takes a new approach by connecting the two concerns. Each of its chapters first of all presents relevant theories and research conclusions for its area and then considers practical applications for materials development. The chapters achieve these applications by reporting and commenting on current theory and research, by analysing the match between current published materials and current theory and by suggesting and exemplifying applications of current theory to materials development. This will be an essential resource both for those studying or teaching materials development and for those studying or teaching applied linguistics.

Sklep: Libristo.pl

### Applied Optimal Estimation MIT Press

**Książki / Literatura obcojęzyczna**

This is the first book on the optimal estimation that places its major emphasis on practical applications, treating the subject more from an engineering than a mathematical orientation. Even so, theoretical and mathematical concepts are introduced and developed sufficiently to make the book a self-contained source of instruction for readers without prior knowledge of the basic principles of the field. The work is the product of the technical staff of the The Analytic Sciences Corporation (TASC), an organization whose success has resulted largely from its applications of optimal estimation techniques to a wide variety of real situations involving large-scale systemsArthur Gelb writes in the Foreword that "It is our intent throughout to provide a simple and interesting picture of the central issues underlying modern estimation theory and practice. Heuristic, rather than theoretically elegant, arguments are used extensively, with emphasis on physical insights and key questions of practical importance."Numerous illustrative examples, many based on actual applications, have been interspersed throughout the text to lead the student to a concrete understanding of the theoretical material. The inclusion of problems with "built-in" answers at the end of each of the nine chapters further enhances the self-study potential of the text.After a brief historical prelude, the book introduces the mathematics underlying random process theory and state-space characterization of linear dynamic systems. The theory and practice of optimal estimation is them presented, including filtering, smoothing, and prediction. Both linear and non-linear systems, and continuous- and discrete-time cases, are covered in considerable detail. New results are described concerning the application of covariance analysis to non-linear systems and the connection between observers and optimal estimators. The final chapters treat such practical and often pivotal issues as suboptimal structure, and computer loading considerations.This book is an outgrowth of a course given by TASC at a number of US Government facilities. Virtually all of the members of the TASC technical staff have, at one time and in one way or another, contributed to the material contained in the work

Sklep: Libristo.pl

### Modern Applied Biostatistical Methods Using S-Plus Oxford University Press

**Zdrowie, medycyna**

Statistical analysis typically involves applying theoretically generated techniques to the description and interpretation of collected data. In this text, theory, application and interpretation are combined to present the entire biostatistical process for a series of elementary and intermediate analytic methods. The theoretical basis for each method is discussed with a minimum of mathematics and is applied to a research data example using a computer system called S-PLUS. This system produces concrete numerical results and increases one's understanding of the fundamental concepts and methodology of statistical analysis.;This text is not a computer manual, even though it makes extensive use of computer language to describe and illustrate applied statistical techniques. This makes the details of the statistical process readily accessible, providing insight into how and why a statistical method identifies the properties of sampled data. The first chapter gives a simple overview of the S-PLUS language. The subsequent chapters use this valuable statistical tool to present a variety of analytic approaches.;Combining statistical logic, data and computer tools, the author explores such topics as random number generation, general linear models, estimation, analysis of tabular data, analysis of variance and survival analysis. The end result is a clear and complete explanation of the way statistical methods can help one gain an understanding of collected data.;Modern Applied Biostatistical Methods is unlike other statistical texts, which usually deal either with theory or with applications. It integrates the two elements into a single presentation of theoretical background, data, interpretation, graphics, and implementation. This all-around approach will be particularly helpful to students in various biostatistics and advanced epidemiology courses, and will interest all researchers involved in biomedical data analysis.

Sklep: Albertus.pl

### Modern Applied Biostatistical Methods Using S-Plus Oxford University Press

**Medycyna > English Division**

Statistical analysis typically involves applying theoretically generated techniques to the description and interpretation of collected data. In this text, theory, application and interpretation are combined to present the entire biostatistical process for a series of elementary and intermediate analytic methods. The theoretical basis for each method is discussed with a minimum of mathematics and is applied to a research data example using a computer system called S-PLUS. This system produces concrete numerical results and increases one's understanding of the fundamental concepts and methodology of statistical analysis. This text is not a computer manual, even though it makes extensive use of computer language to describe and illustrate applied statistical techniques. This makes the details of the statistical process readily accessible, providing insight into how and why a statistical method identifies the properties of sampled data. The first chapter gives a simple overview of the S-PLUS language. The subsequent chapters use this valuable statistical tool to present a variety of analytic approaches. Combining statistical logic, data and computer tools, the author explores such topics as random number generation, general linear models, estimation, analysis of tabular data, analysis of variance and survival analysis. The end result is a clear and complete explanation of the way statistical methods can help one gain an understanding of collected data. Modern Applied Biostatistical Methods is unlike other statistical texts, which usually deal either with theory or with applications. It integrates the two elements into a single presentation of theoretical background, data, interpretation, graphics, and implementation. This all-around approach will be particularly helpful to students in various biostatistics and advanced epidemiology courses, and will interest all researchers involved in biomedical data analysis.

Sklep: Ksiazki-medyczne.eu

### Spoken Language and Applied Linguistics BERTRAMS

**Książki / Literatura obcojęzyczna**

Spoken Language and Applied Linguistics argues for putting spoken language right at the centre of the syllabus. It brings together a number of separate studies by the author, based on the CANCODE spoken corpus, and weaves them together to illustrate the central role the study of spoken language can play in applied linguistics. After an introduction to the corpus, the author lays out the main components of a theory of spoken genres, with corpus examples. There then follows a broad discussion of what can/should be taught about the spoken language, followed by chapters on discourse grammar and on the sometimes parallel, sometimes different, grammatical patterning of spoken and written texts. The book then turns to lexis, with a general overview of the vocabulary of spoken language and closes with a look at another central area of language teaching, speech reporting.

Sklep: Libristo.pl

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t1=0.058, t2=0, t3=0, t4=0.032, t=0.058