Philip Holmes

John Guckenheimer

An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

Guy Starkey

Paul Baylis

Provides students with the information and advice they need to succeed in BTEC First Media.

BTEC First Media Student Book

Florin Diacu

Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincaré submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincaré found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincaré's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincaré. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it.

The Origins of Chaos and Stability

Celestial Encounters

Ian Hinchliffe

This fully revised second edition of Swedish: An Essential grammar incorporates the changes proposed to the Swedish grammar by Svenska Akademiens Grammatik. All examples have been fully updated, the bibliography has been expanded and a number of tables clarified. Swedish: An Essential grammar provides a fresh and accessible description of the language. It is suitable for independent study or for class-based students. The explanations are free of jargon and emphasis has been placed in the areas of Swedish that pose a particular challenge for English-speaking learners.

An Essential Grammar

Swedish

Basic Swedish: A Grammar and Workbook combines an accessible basic reference grammar and related exercises in one volume, and covers most of the topics that students might expect to deal with in their first year of learning Swedish. Each of the 25 units discusses one or more grammar topics, with examples that are subsequently practised in the exercises that follow. The book introduces the contemporary language against a backdrop of Swedish culture, society, geography, customs and history. Each unit ends with a cultural text that outlines an aspect of Swedish culture and exemplifies and consolidates the grammar topic examined in the unit. Features include: clear grammatical explanations with examples in Swedish and English vocabulary based on a major corpus of written Swedish in order to guarantee authenticity and relevance cross-references to other units over 100 exercises with a key to all the correct answers full vocabulary list at the end of the book. The book is suitable both for independent study and for class use. It can be used by absolute beginners and those who have advanced a little further.

A Grammar and Workbook

Basic Swedish

Describes methods revealing the structures and dynamics of turbulence for engineering, physical science and mathematics researchers working in fluid dynamics.

Turbulence, Coherent Structures, Dynamical Systems and Symmetry

Tom Lundskaer-Nielsen

Robin Allan

Ideal for any learner of the Danish language in early or middle stages, this engaging grammar is an essential reference guide to the most important grammatical aspects of Danish as it is used today.

Danish: An Essential Grammar

Utvandrarna

Vilhelm Moberg

Vilhelm Moberg: Utvandrarna

Jennie Ahlgren

Gunilla Serin

Colloquial Swedish provides a step-by-step course in Swedish as it is written and spoken today. Combining a user-friendly approach with a thorough treatment of the language, it equips learners with the essential skills needed to communicate confidently and effectively in Swedish in a broad range of situations. No prior knowledge of the language is required. Key features include: • progressive coverage of speaking, listening, reading and writing skills • structured, jargon-free explanations of grammar • an extensive range of focused and stimulating exercises • realistic and entertaining dialogues covering a broad variety of scenarios • useful vocabulary lists throughout the text • additional resources available at the back of the book, including a full answer key, a grammar summary and bilingual glossaries Balanced, comprehensive and rewarding, Colloquial Swedish will be an indispensable resource both for independent learners and students taking courses in Swedish. Audio material to accompany the course is available to download free in MP3 format from www.routledge.com/cw/colloquials. Recorded by native speakers, the audio material features the dialogues and texts from the book and will help develop your listening and pronunciation skills.

Colloquial Swedish

Winner of the Swedish National Language Council’s Erik Wellander Prize, 2003 Swedish: A Comprehensive Grammar is an award-winning complete reference guide to modern Swedish grammar. Systematic and accessible, the volume is organised to promote a thorough understanding of Swedish grammar, presenting the complexities of Swedish in a concise and readable form. Explanations are full, clear and free of jargon, and an extensive index, numbered paragraphs, cross-references and summary charts provide readers with easy access to the information they require. Now in its third edition, the text has been comprehensively updated to conform to new standards set in the description of language and to reflect the recommendations of the Language Council of Sweden. It offers an improved layout, completely revised index and more user-friendly paragraph structure. Continuing the tradition of previous editions, the emphasis remains fixed on Swedish in everyday communication, drawing on modern corpus material, the internet and the media to provide high frequency words and expressions. Examples have been modernised throughout and new content takes account of recent trends resulting from the increasing democratisation of written Swedish. Features include: detailed treatment of grammatical structures and parts of speech a wealth of examples from present-day Swedish particular attention to areas of confusion and difficulty for learners Swedish/English contrasts highlighted throughout the book chapters on word formation, orthography and punctuation. Swedish: A Comprehensive Grammar is the most thorough and detailed Swedish grammar available in English and is an essential reference source for the learner and user of Swedish, irrespective of level. It is ideal for use in schools, colleges, universities and adult classes of all types.

Swedish: A Comprehensive Grammar

Intermediate Swedish: A Grammar and Workbook combines an accessible intermediate reference grammar and related exercises in one volume that covers most of the topics that students might expect to deal with in their second year of learning Swedish. The book follows on naturally from and complements its companion volume, Basic Swedish. Each of the 26 units discusses one or more grammar topics, with examples that are subsequently practised in the exercises that follow. The book presents the contemporary language against a backdrop of Swedish culture, society, geography, customs and history. Each unit ends with a cultural text which outlines an aspect of Swedish culture and, in nearly all cases, exemplifies and consolidates the grammar topic examined in the unit. Features include: • clear grammatical explanations with examples in Swedish and English • vocabulary based on a major corpus of written Swedish in order to guarantee authenticity and relevance • cross-references to other units • over 100 exercises with a key to all the correct answers. The book is suitable both for independent study and for class use. It can be used by intermediate students and those who have grasped the basics of grammar and vocabulary.

Intermediate Swedish

Danish: An Essential Grammar is a reference guide to the most important aspects of current Danish as it is used by native speakers. It presents a fresh and accessible description of the language, focusing on those areas of Danish that pose particular problems for English speakers but at the same time providing a broad general account of the language. The Grammar is the ideal source of reference for the learner of Danish in the early and middle stages. It is suitable for independent study or for students in schools, colleges, universities and adult classes of all types. This new edition has been fully updated to reflect changes in current language use and recent cultural developments. Features include: clear, jargon-free explanations many tables and diagrams for extra clarity separate glossary of linguistic and grammatical terms detailed index with key Danish and English words

Tom Lundskær-Nielsen

Danish: An Essential Grammar is a reference guide to the most important aspects of current Danish as it is used by native speakers. It focuses on those areas of Danish that pose particular problems for the learner but at the same time provides a broad general account of the language. The Grammar is the ideal source of reference for the learner of Danish in the early and middle stages. It is suitable either for independent study or for students in schools, colleges, universities and adult classes of all types. Features include: * clear, jargon-free explanations * many tables and diagrams for extra clarity * detailed contents list * separate glossary of linguistic and grammatical terms * detailed index with key Danish and English words. Titles of related interest published by Routledge: Colloquial Danish: A Complete Language Course; Danish Dictionary; Danish: A Comprehensive Grammar Colloquial Nowegian: A Complete Language Course; Norwegian Dictionary; Norwegian: An Essential Grammar Colloquial Swedish: The Complete Course for Beginners; Swedish Dictionary; Swedish: A Comprehensive Grammar; Swedish: An Essential Grammar

Danish

Provides a practical knowledge of everyday spoken & written Swedish

Ken Hall

A Practical Handbook

BTEC First in Media

Hans-Olav Enger

Norwegian: A Comprehensive Grammar is a complete reference guide to modern Norwegian (the Bokmål standard). The Grammar is an essential source for the serious student of Norwegian, and for students of comparative linguistics. It is ideal for use in colleges, universities and adult classes of all types. The volume is organised to promote a thorough understanding of Norwegian grammar. It presents the complexities of Norwegian in a concise and readable form. Explanations are full, clear and free of jargon. Throughout, the emphasis is on Norwegian as used by present-day native speakers. An extensive index, numbered paragraphs, cross-references and summary charts provide readers with easy access to the information they require.

Philip Holmes

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