Philip Holmes – författare

From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2

Danish: A Comprehensive Grammar presents a fresh and accessible description of the language, concentrating on the real patterns of use in modern Danish. The volume is organized to promote a thorough understanding of Danish grammar. It offers a stimulating analysis of the complexities of the language, and provides full and clear explanations. This edition has been fully updated to reflect changes in grammar, cultural changes and the impact of modern technology. All sections have been systematically revised, and a new section on phrases and an up-to-the-moment account of the use of the comma have been added. The examples and grammar explanations have been improved throughout.Features include: a wealth of examples from present-day Danishparticular attention to areas of confusion and difficultyDanish-English parallels highlighted throughout the bookan extensive index and clear paragraph numbering for easy navigationcross-references in all parts of the book.Danish: A Comprehensive Grammar is the most comprehensive and detailed Danish grammar available in English and is an essential reference source for the learner and user of Danish at all levels. It is ideal for use in schools, colleges, universities and adult classes of all types.

Danish: A Comprehensive Grammar presents a fresh and accessible description of the language, concentrating on the real patterns of use in modern Danish. The volume is organized to promote a thorough understanding of Danish grammar. It offers a stimulating analysis of the complexities of the language, and provides full and clear explanations. This edition has been fully updated to reflect changes in grammar, cultural changes and the impact of modern technology. All sections have been systematically revised, and a new section on phrases and an up-to-the-moment account of the use of the comma have been added. The examples and grammar explanations have been improved throughout.Features include: a wealth of examples from present-day Danishparticular attention to areas of confusion and difficultyDanish-English parallels highlighted throughout the bookan extensive index and clear paragraph numbering for easy navigationcross-references in all parts of the book.Danish: A Comprehensive Grammar is the most comprehensive and detailed Danish grammar available in English and is an essential reference source for the learner and user of Danish at all levels. It is ideal for use in schools, colleges, universities and adult classes of all types.

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

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

Winner of the Swedish National Language Council’s Erik Wellander Prize, 2003Swedish: 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 speecha wealth of examples from present-day Swedishparticular attention to areas of confusion and difficulty for learnersSwedish/English contrasts highlighted throughout the bookchapters 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.

Winner of the Swedish National Language Council’s Erik Wellander Prize, 2003Swedish: 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 speecha wealth of examples from present-day Swedishparticular attention to areas of confusion and difficulty for learnersSwedish/English contrasts highlighted throughout the bookchapters 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.

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.

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.

Swedish: A Comprehensive Grammar is an award-winning complete reference guide to modern Swedish grammar. This volume is organised to promote a thorough understanding of Swedish grammar, presenting the complexities of the language 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.This fourth edition has been exhaustively researched and updated to align with current standards in the description of language and to incorporate the most recent recommendations of Språkrådet, the Language Council of Sweden. The emphasis is on Swedish in everyday communication, drawing on contemporary corpus material and a wide range of printed and online sources to illustrate the use of high-frequency words and expressions. Examples have been systematically updated to reflect contemporary conventions and usage, and new content has been added to reflect the increasing democratisation of written Swedish.Key features include:· detailed treatment of grammatical structures and parts of speech· a wealth of authentic examples, many drawn from mainstream news media and reliable online sources· careful attention to areas that typically cause confusion or difficulty for learners· Swedish/English contrasts highlighted throughout the book· a new chapter outlining major differences in written and spoken Swedish, with notes on slang and youth argot.Swedish: A Comprehensive Grammar is the most thorough and detailed Swedish grammar available in English and is an essential reference source for students and speakers of Swedish, irrespective of level.

Swedish: A Comprehensive Grammar is an award-winning complete reference guide to modern Swedish grammar. This volume is organised to promote a thorough understanding of Swedish grammar, presenting the complexities of the language 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.This fourth edition has been exhaustively researched and updated to align with current standards in the description of language and to incorporate the most recent recommendations of Språkrådet, the Language Council of Sweden. The emphasis is on Swedish in everyday communication, drawing on contemporary corpus material and a wide range of printed and online sources to illustrate the use of high-frequency words and expressions. Examples have been systematically updated to reflect contemporary conventions and usage, and new content has been added to reflect the increasing democratisation of written Swedish.Key features include:· detailed treatment of grammatical structures and parts of speech· a wealth of authentic examples, many drawn from mainstream news media and reliable online sources· careful attention to areas that typically cause confusion or difficulty for learners· Swedish/English contrasts highlighted throughout the book· a new chapter outlining major differences in written and spoken Swedish, with notes on slang and youth argot.Swedish: A Comprehensive Grammar is the most thorough and detailed Swedish grammar available in English and is an essential reference source for students and speakers of Swedish, irrespective of level.

Turbulence pervades our world, from weather patterns to the air entering our lungs. This book describes methods that reveal its structures and dynamics. Building on the existence of coherent structures - recurrent patterns - in turbulent flows, it describes mathematical methods that reduce the governing (Navier-Stokes) equations to simpler forms that can be understood more easily. This second edition contains a new chapter on the balanced proper orthogonal decomposition: a method derived from control theory that is especially useful for flows equipped with sensors and actuators. It also reviews relevant work carried out since 1995. The book is ideal for engineering, physical science and mathematics researchers working in fluid dynamics and other areas in which coherent patterns emerge.

Colloquial Swedishprovides 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.This thoroughly revised new edition features:progressive coverage of speaking, listening, reading and writing skills and an increased focus on functional languagestructured, 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 textadditional 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 is 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.

This fully revised third edition of Swedish: An Essential Grammar incorporates changes proposed to Swedish grammar by Svenska Akademiens grammatik. Examples have been fully updated and the bibliography has been expanded. Swedish: An Essential Grammarprovides a fresh and accessible description of the language. Explanations are free of jargon and emphasis has been placed on areas of Swedish that pose a particular challenge for English-speaking learners.The book offers:• a clear, accessible format;• authentic examples of language use, taken from a range of media;• clear, jargon-free explanations of grammar.Suitable for independent study or for class-based tuition, Swedish: An Essential Grammar continues to be an invaluable source to all learners looking to improve their knowledge of Swedish grammar.

This fully revised third edition of Swedish: An Essential Grammar incorporates changes proposed to Swedish grammar by Svenska Akademiens grammatik. Examples have been fully updated and the bibliography has been expanded. Swedish: An Essential Grammarprovides a fresh and accessible description of the language. Explanations are free of jargon and emphasis has been placed on areas of Swedish that pose a particular challenge for English-speaking learners.The book offers:• a clear, accessible format;• authentic examples of language use, taken from a range of media;• clear, jargon-free explanations of grammar.Suitable for independent study or for class-based tuition, Swedish: An Essential Grammar continues to be an invaluable source to all learners looking to improve their knowledge of Swedish grammar.

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.

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.

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: 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.

Colloquial Swedishprovides 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.This thoroughly revised new edition features:progressive coverage of speaking, listening, reading and writing skills and an increased focus on functional languagestructured, 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 textadditional 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 is 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.

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From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2