The passages in this book have been designed to closely resemble official MCAT Verbal passages. This volume includes fourteen 60-minute, full-length practice MCAT Verbal Exams in official MCAT format, 560 MCAT Verbal questions in total, 2,240 detailed explanations for all answer choices, and 14 tear-out answer sheets.
Word Frequencies in Written and Spoken English is a landmark volume in the development of vocabulary frequency studies. Whereas previous books have in general given frequency information about the written language only, this book provides information on both speech and writing. It not only gives information about the language as a whole, but also about the differences between spoken and written English, and between different spoken and written varieties of the language. The frequencies are derived from a wide ranging and up-to-date corpus of English: the British National Corpus, which was compiled from over 4,000 written texts and spoken transcriptions representing the present day language in the UK. The book is based on a new version of the corpus (available from 2001) providing more accurate grammatical information, which is essential (for example) for distinguishing words like leaves (noun) and leaves (verb) with different meanings. The book begins with a general introduction, explaining why such information is important and highlighting interesting linguistic findings that emerge from the statistical analysis of the British National Corpus vocabulary. It also contains twenty four 'interest boxes' which highlight and comment on different aspects of frequency - for example, the most common colour words in English in order of frequency, and a comparison of male words (e.g. man) and female words (e.g. woman) in terms of their frequency.
The calculus of variations is a beautiful subject with a rich history and with origins in the minimization problems of calculus. Although it is now at the core of many modern mathematical fields, it does not have a well-defined place in most undergraduate mathematics curricula. This volume should nevertheless give the undergraduate reader a sense of its great character and importance. Interesting functionals, such as area or energy, often give rise to problems whose most natural solution occurs by differentiating a one-parameter family of variations of some function. The critical points of the functional are related to the solutions of the associated Euler-Lagrange equation. These differential equations are at the heart of the calculus of variations and its applications to wave mechanics, minimal surfaces, soap bubbles, and modeling traffic flow. All are readily accessible to advanced undergraduates. This book is derived from a workshop sponsored by Rice University. It is suitable for advanced undergraduates, graduate students and research mathematicians interested in the calculus of variations and its applications to other subjects.
Fills a gap in book literature Examines many new Lagrangian probability distributions and their applications to a variety of different fields Presents background mathematical and statistical formulas for easy reference Detailed bibliography and index Exercises in many chapters May be used as a reference text or in graduate courses and seminars on Distribution Theory and Lagrangian Distributions
The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis.
This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. Balancing theory and applications, the authors use stochastic methods and concrete examples to model real-world problems from engineering, biomathematics, biotechnology, and finance. Suitable as a textbook for graduate or advanced undergraduate courses, the work may also be used for self-study or as a reference. The book will be of interest to students, pure and applied mathematicians, and researchers or practitioners in mathematical finance, biomathematics, physics, and engineering.
Introduces the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators and spectral theory of self-adjoint operators. This work presents the theorems and methods of abstract functional analysis and applications of these methods to Banach algebras and theory of unbounded self-adjoint operators.
"This is the colorful and dramatic biography of two of America's most controversial entrepreneurs: Moses Louis Annenberg, 'the racing wire king, ' who built his fortune in racketeering, invested it in publishing, and lost much of it in the biggest tax evasion case in United States history; and his son, Walter, launcher of TV Guide and Seventeen magazines and former ambassador to Great Britain."--Jacket.
The most comprehensive guide to the bovids of the world Bovids are a diverse group of ruminant mammals that have hooves and unbranched hollow horns. Bovids of the World is the first comprehensive field guide to cover all 279 bovid species, including antelopes, gazelles, cattle, buffaloes, sheep, and goats. From the hartebeest of Africa and the takin of Asia to the muskox of North America, bovids are among the world's most spectacular animals and this stunningly illustrated and easy-to-use field guide is an ideal way to learn more about them. The guide covers all species and subspecies of bovids described to date. It features more than 300 superb full-color plates depicting every kind of bovid, as well as detailed facing-page species accounts that describe key identification features, horn morphology, distribution, subspeciation, habitat, and conservation status in the wild. This book also shows where to observe each species and includes helpful distribution maps. Suitable for anyone with an interest in natural history, Bovids of the World is a remarkable and attractive reference, showcasing the range and beauty of these important mammals. The first comprehensive field guide to all 279 bovid species 337 full-color plates, with more than 1,500 photographs Detailed species accounts describe key identification features, distribution, subspeciation, habitat, behavior, reproduction, and conservation status Fully updated and revised taxonomy, with common and scientific names Easy-to-read distribution maps