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Author: Jack C. Richards Publisher: Cambridge University Press ISBN: 9780521628785 Category : Education Languages : en Pages : 104
Book Description
New Interchange is a multi-level series for adult and young-adult learners of English from the beginning to the high-intermediate level. The Workbook has six-page units that follow the same sequence as the Student's Book. It has interesting grammar, vocabulary, and writing activities, appropriate for classwork or homework. It also has numerous reading passages that recycle and review language from previous units.
Author: Jack C. Richards Publisher: Cambridge University Press ISBN: 9780521628785 Category : Education Languages : en Pages : 104
Book Description
New Interchange is a multi-level series for adult and young-adult learners of English from the beginning to the high-intermediate level. The Workbook has six-page units that follow the same sequence as the Student's Book. It has interesting grammar, vocabulary, and writing activities, appropriate for classwork or homework. It also has numerous reading passages that recycle and review language from previous units.
Author: Jack C. Richards Publisher: Cambridge University Press ISBN: 9780521628815 Category : Foreign Language Study Languages : en Pages : 156
Book Description
New Interchange is a multi-level series for adult and young-adult learners of English from the beginning to the high-intermediate level. The Level 1 Student's Book builds on the foundations established in the Intro for accurate and fluent communication, extending grammatical, lexical, and functional skills. Beautiful color photographs and illustrations facilitate the teaching of new vocabulary. The New Interchange series teaches students to use English for everyday situations and purposes related to school, work, social life, and leisure. As with the other levels of New Interchange, a complete set of ancillaries, including a video program, is available to make classes interesting and productive.
Author: Jack C. Richards Publisher: Cambridge University Press ISBN: 1107637805 Category : Foreign Language Study Languages : en Pages : 173
Book Description
Interchange Fourth Edition is a fully revised edition of Interchange, the world's most successful series for adult and young-adult learners of North American English. The course has been revised to reflect the most recent approaches to language teaching and learning. It remains the innovative series teachers and students have grown to love, while incorporating suggestions from teachers and students all over the world. This edition offers updated content in every unit, grammar practice, and opportunities to develop speaking and listening skills. Interchange Fourth Edition features contemporary topics and a strong focus on both accuracy and fluency. Its successful multi-skills syllabus integrates themes, grammar, functions, vocabulary, and pronunciation. The underlying philosophy of the course remains that language is best learned when it's used for meaningful communication.
Author: Jack C. Richards Publisher: ISBN: 9781139397339 Category : Foreign Language Study Languages : en Pages :
Book Description
Interchange Fourth Edition is a four-level series for adult and young-adult learners of English from the beginning to the high-intermediate level. Interchange Fourth Edition Online Workbook B, Intro provides additional activities to reinforce what is presented in Student's Book B, Intro. The Online Workbook includes activities which correspond to each Student's Book unit; instant feedback for hundreds of activities; clear, easy-to-follow navigation; additional audio practice; and simple tools to monitor progress.
Author: Raoul Bott Publisher: Springer Science & Business Media ISBN: 1475739516 Category : Mathematics Languages : en Pages : 338
Book Description
Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.
Author: John M. Lee Publisher: Springer Science & Business Media ISBN: 0387217525 Category : Mathematics Languages : en Pages : 646
Book Description
Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why
Author: Tilman M. Davies Publisher: No Starch Press ISBN: 1593277792 Category : Computers Languages : en Pages : 833
Book Description
The Book of R is a comprehensive, beginner-friendly guide to R, the world’s most popular programming language for statistical analysis. Even if you have no programming experience and little more than a grounding in the basics of mathematics, you’ll find everything you need to begin using R effectively for statistical analysis. You’ll start with the basics, like how to handle data and write simple programs, before moving on to more advanced topics, like producing statistical summaries of your data and performing statistical tests and modeling. You’ll even learn how to create impressive data visualizations with R’s basic graphics tools and contributed packages, like ggplot2 and ggvis, as well as interactive 3D visualizations using the rgl package. Dozens of hands-on exercises (with downloadable solutions) take you from theory to practice, as you learn: –The fundamentals of programming in R, including how to write data frames, create functions, and use variables, statements, and loops –Statistical concepts like exploratory data analysis, probabilities, hypothesis tests, and regression modeling, and how to execute them in R –How to access R’s thousands of functions, libraries, and data sets –How to draw valid and useful conclusions from your data –How to create publication-quality graphics of your results Combining detailed explanations with real-world examples and exercises, this book will provide you with a solid understanding of both statistics and the depth of R’s functionality. Make The Book of R your doorway into the growing world of data analysis.
Author: Kentaro Hori Publisher: American Mathematical Soc. ISBN: 0821829556 Category : Calabi-Yau manifolds Languages : en Pages : 954
Book Description
This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.
Author: Martin J. Osborne Publisher: MIT Press ISBN: 9780262650403 Category : Business & Economics Languages : en Pages : 374
Book Description
A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises.
Author: Jack C. Richards
Author: Jack C. Richards
Author: Jack C. Richards
Author: Jack C. Richards
Author: Jack C. Richards
Author: Raoul Bott
Author: John M. Lee
Author: 
Author: Tilman M. Davies
Author: Kentaro Hori
Author: Martin J. Osborne