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Review From the reviews of the second edition: "This is a very substantial revision of the author’s original textbook published in 1990. It does not only contain much new material, for instance on invariant manifold theory and normal forms, it has also been restructured. … The presentation is intended for advanced undergraduates … . This second edition … will serve as one of the most eminent introductions to the geometric theory of dynamical systems." (R. Burger, Monatshefte fur Mathematik, Vol. 145 (4), 2005) "This is an extensively rewritten version of the first edition which appeared in 1990, taking into account the many changes in the subject during the intervening time period. … The book is suitable for use as a textbook for graduate courses in applied mathematics or cognate fields. It is written in a readable style, with considerable motivation and many insightful examples. … Overall, the book provides a very accessible, up-to-date and comprehensive introduction to applied dynamical systems." (P.E. Kloeden, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 85 (1), 2005) "The second edition of this popular text … is an encyclopedic introduction to dynamical systems theory and applications that includes substantial revisions and new material. It should be on the reading list of every student of the subject … . Also, the new organization makes the book more suitable as a textbook that can be used in graduate courses. This book will also be a usefu Read more...

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This is a draft of a book about selected algorithms. The audience in mind are programmers who are interested in the treated algorithms and actually want to create and understand working and reasonably optimized code. The style varies somewhat which I do not consider bad per se: While some topics (as fast Fourier transforms) need a clear and explicit introduction others (like the bit wizardry chapter) seem to be best presented by basically showing the code with just a few comments. The pseudo language Sprache is used when I see a clear advantage to do so, mainly when the corresponding C++ does not appear to be self explanatory. Larger pieces of code are presented in C++. C programmers do not need to be shocked by the `++' as only a rather minimal set of the C++ features is used. Some of the code, especially in part 3 (Arithmetical algorithms), is given in the pari/gp language as the use of other languages would likely bury the idea in technicalities. Read more...

Book Description Bifurcation theory and catastrophe theory are two of the best known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Moreover, understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors have given a masterly exposition of these two theories, with penetrating insight. Read more...

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Product Description A comprehensive, user-friendly and interesting reference book that explains key concepts, ideas and current requirements in primary English. Includes: * over 600 entries * short definitions of key concepts (e.g. parts of speech) * succint explanations of current UK requirements * extended entries on major topics such as speaking and listening, reading, writing, drama, bilingualism and children's literature * up to date information and discussion of important issues * key references and accounts of recent research findings * a Who's Who of Primary English. Product Details * Paperback: 396 pages * Publisher: Routledge; 2 edition (November 12, 2007) * Language: English * ISBN-10: 0415451035 * ISBN-13: 978-0415451031 Read more...

From Booklist As the field of linguistics (the study of human speech) expands, overlaps, and uses the methods and findings of other disciplines, the reference literature needs to reflect these changes. In addition to the expected entries on linguistics as a discipline and the essays about specific languages and their characteristics, this encyclopedia covers topics such as Information retrieval; Neurolinguistics; Second language: learning; and Official language selection. The intent is to provide "an accessible overview of and introduction to the multiple facets of the study of language." The 508 signed entries, between 1,000 and 3,000 words long, are arranged alphabetically and fall into four categories. Around 50 percent cover linguistic topics, such as Biosemiotics, Dyslexia, Gender and language, Phonetics, and Time and tense. Some 30 percent treat languages, among them Ancient Egyptian, Igbo and Igboid languages, Japanese, and yiddish. Another 15 percent cover people, for example, Franz Boas, Noam Chomsky, and Jacob Grimm. The remaining entries cover regions. An alphabetical and a thematic list of entries at the beginning of volume 1 are useful finding aids. Illustrations are restricted to figures and tables. The introduction notes the inclusion of 12 language-distribution maps, but we could not find them. The International Encyclopedia of Linguistics (2d ed., Oxford, 2003), which is the standard scholarly reference in the field, has approximately 750 entries. A l Read more...

Product Description In a time of great change and increasing demands on teachers, here is a reference book explaining key concepts, ideas and current requirements in the huge area of primary English. The encyclopedia aims to be comprehensive, user friendly and interesting. While the author has the needs of UK primary teachers and student teachers very much in mind, the intended audience stretches to anyone anywhere concerned about children's progress in English up to 11 years. The encyclopaedia includes many short definitions - parts of speech, for example - and succinct explanations of current UK requirements. However, the author, who has worked with children and student teachers for many years, bears in mind the bigger shapes and purposes - how we can help children become confident speakers, thoughtful listeners, sensitive readers and successful writers. The project was inspired by a student teacher group who wanted a book that would be a friend throughout their primary English course and beyond. The encyclopaedia includes an introduction identifying the heart of primary English and providing a unifying framework for the book; over 800 entries; fifteen extended entries on, for example, speaking and listening, reading, writing, drama, special needs and English, young learners speaking English as an additional language and assessment; up to date information and key issues; examples of children's work; and charts and diagrams. Read more...