Differentials
Author: Jim Allen
Publisher:
Published: 2006-01-01
Total Pages: 378
ISBN-13: 9781424326617
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Quadratic Differentials
Author: K. Strebel
Publisher: Springer Science & Business Media
Published: 1984-04-02
Total Pages: 204
ISBN-13: 9783540130352
DOWNLOAD EBOOKA quadratic differential on aRiemann surface is locally represented by a ho lomorphic function element wh ich transforms like the square of a derivative under a conformal change of the parameter. More generally, one also allows for meromorphic function elements; however, in many considerations it is con venient to puncture the surface at the poles of the differential. One is then back at the holomorphic case. A quadratic differential defines, in a natural way, a field of line elements on the surface, with singularities at the critical points, i.e. the zeros and poles of the differential. The integral curves of this field are called the trajectories of the differential. A large part of this book is about the trajectory structure of quadratic differentials. There are of course local and global aspects to this structure. Be sides, there is the behaviour of an individual trajectory and the structure deter mined by entire subfamilies of trajectories. An Abelian or first order differential has an integral or primitive function is in general not single-valued. In the case of a quadratic on the surface, which differential, one first has to take the square root and then integrate. The local integrals are only determined up to their sign and arbitrary additive constants. However, it is this multivalued function which plays an important role in the theory; the trajectories are the images of the horizontals by single valued branches of its inverse.
Top 3 Differentials in Radiology
Author: William T. O'Brien
Publisher: Thieme
Published: 2011-01-01
Total Pages: 726
ISBN-13: 1604062282
DOWNLOAD EBOOKPraise for this book:Innovative...the descriptions are accurate and concise - exactly what the examiner wants to hear...it would be difficult to find a better high-yield, high-quality textbook covering every subsection of the radiology oral board examination.--JAMAyExtremely useful...This review book is not only rewarding but also a resource radiologists can continue to refer to throughout their careers.--Academic RadiologyProvides an excellent selection of cases for sharpening diagnostic radiology considerations...useful for board preparation and review.--Doody's ReviewTop 3 Differentials in Radiology: A Case Review is a practical case-based reference that will enable radiologists and radiology residents to hone their skills in developing differential diagnoses for common imaging findings. Presented as unknowns, the cases are arranged into twelve main sections based on radiology subspecialties. The book presents each case as a two-page unit. The left page features clinical images and a brief description of the clinical presentation. The right page provides the key imaging finding, Top 3 differential diagnoses, additional differential diagnoses, the final diagnosis, and imaging pearls. The final section of the book contains selected cases from all radiology subspecialties with distinctive imaging findings that should lead definitively to a single diagnosis. Features: 325 cases presented as unknowns to facilitate exam preparation Valuable high-yield review of all disease entities on the list of differential diagnoses for each case More than 700 high-quality images, including 74 in full color, depicting key radiographic findings Imaging pearls at the end of each case that highlight key teaching points With its emphasis on gaining a solid foundation in differential diagnoses for the full range of key imaging findings encountered in clinical practice, this book is ideal for individuals preparing for the initial American Board of Radiology examination as well as more experienced radiologists preparing for recertification examinations.
Small Animal Medical Differential Diagnosis
Author: Mark S. Thompson
Publisher: Elsevier Health Sciences
Published: 2014
Total Pages: 379
ISBN-13: 1455744549
DOWNLOAD EBOOKSmall Animal Medical Differential Diagnosis, 2nd Edition is a practical, concise guide to the differential diagnosis, etiology, laboratory abnormalities, and classification of clinical signs and medical disorders in dogs and cats. By covering nearly every possible sign and clinical disorder relevant to small animal medical practice, this pocket-sized, rapid reference helps you make more reliable on-the-scene decisions. More than 400 lists bring the most important medical diagnostic information from multiple resources into a single rapid reference. An organized presentation of differential diagnoses by sign and symptom, disorder, and body system, facilitates quick and flexible access to information at many stages of the diagnostic work-up. Alphabetical listing of all relevant laboratory tests makes information easy to find for students and experienced practitioners alike. Easily identify the likeliest diagnosis by reviewing the possibilities listed in order of incidence. Pocket-sized for portability, practicality, and quick reference. NEW! Coverage of new disorders and syndromes expands the span of differential diagnoses to help you effectively evaluate more signs and symptoms. NEW! Addition of new and more widely used diagnostic and laboratory tests keeps you up-to-date as lab tests become more specialized and sophisticated.
Differential Equations
Author: H. S. Bear
Publisher: Courier Corporation
Published: 2013-10-30
Total Pages: 226
ISBN-13: 0486143643
DOWNLOAD EBOOKFirst-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.
Elements of the Differential and Integral Calculus
Author: Elias Loomis
Publisher:
Published: 1887
Total Pages: 324
ISBN-13:
DOWNLOAD EBOOKDifferential Calculus and Its Applications
Author: Michael J. Field
Publisher: Courier Corporation
Published: 2013-04-10
Total Pages: 338
ISBN-13: 0486298841
DOWNLOAD EBOOKBased on undergraduate courses in advanced calculus, the treatment covers a wide range of topics, from soft functional analysis and finite-dimensional linear algebra to differential equations on submanifolds of Euclidean space. 1976 edition.
Introduction to Ordinary Differential Equations
Author: Albert L. Rabenstein
Publisher: Academic Press
Published: 2014-05-12
Total Pages: 444
ISBN-13: 1483226220
DOWNLOAD EBOOKIntroduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.
Differential Games
Author: Avner Friedman
Publisher: Courier Corporation
Published: 2013-06-06
Total Pages: 372
ISBN-13: 0486153274
DOWNLOAD EBOOKGraduate-level text surveys games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, games with restricted phase coordinates, and N-person games. 1971 edition.
Differential Equations
Author: Steven G. Krantz
Publisher: CRC Press
Published: 2015-10-07
Total Pages: 481
ISBN-13: 1498735029
DOWNLOAD EBOOKDifferential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial diff
