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This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.
A new edition of the lavishly illustrated guide to brain structure and function This atlas is an outstanding single-volume resource of information on the structure and function of specific areas of the brain. Updated to reflect the latest technology using 3 Tesla MR images, this edition has been enhanced with new functional MRI studies as well as a new section on diffusion tensor imaging with three-dimensional reconstructions of fiber tracts using color coding to demonstrate neural pathways. Highlights: Glossary of neuroanatomic structures and definitions provides the reader with a foundation in structures, function, and functional relationships High-quality images are divided into five sections, including Sagittal MRI views, Axial MRI views, Coronal MRI views, Fiber-Tracking Diffusion Tensor Imaging, and Three-Dimensional MRI views Icons rapidly orient the reader with the location of each view or the diffusion pathway This book eliminates the need to sift through multiple books for the current information on the structure and function of the brain. It is invaluable for clinicians in radiology, neuroradiology, neurology, neurosurgery, psychiatry, psychology, neuropsychology, and neuroanatomy. The atlas is also ideal for medical students, nursing students, and individuals seeking to gain a firm understanding of human brain anatomy and function.
This book comprehensively covers several hundred functions or function families. In chapters that progress by degree of complexity, it starts with simple, integer-valued functions then moves on to polynomials, Bessel, hypergeometric and hundreds more.
This book provides a systematic introduction to functions of one complex variable. Its novel feature is the consistent use of special color representations – so-called phase portraits – which visualize functions as images on their domains. Reading Visual Complex Functions requires no prerequisites except some basic knowledge of real calculus and plane geometry. The text is self-contained and covers all the main topics usually treated in a first course on complex analysis. With separate chapters on various construction principles, conformal mappings and Riemann surfaces it goes somewhat beyond a standard programme and leads the reader to more advanced themes. In a second storyline, running parallel to the course outlined above, one learns how properties of complex functions are reflected in and can be read off from phase portraits. The book contains more than 200 of these pictorial representations which endow individual faces to analytic functions. Phase portraits enhance the intuitive understanding of concepts in complex analysis and are expected to be useful tools for anybody working with special functions – even experienced researchers may be inspired by the pictures to new and challenging questions. Visual Complex Functions may also serve as a companion to other texts or as a reference work for advanced readers who wish to know more about phase portraits.
Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions. Many of the chapters and sections of the book have been significantly modified or rewritten, and a new chapter on the theory and applications of the basic (or q-) extensions of various special functions is included. This book will be invaluable because it covers not only detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions, but stimulating historical accounts of a large number of problems and well-classified tables of series and integrals. Detailed and systematic presentations of the theory and applications of the various methods and techniques used in dealing with many different classes of series and integrals associated with the Zeta and related functions
This comprehensive reference, which integrates analysis, algorithms and computer implementation, provides more than 150 special functions of the applied sciences with over 700 graphics of functions which can be created using the included CD-ROM.
An extensive summary of mathematical functions that occur in physical and engineering problems
This book is an introductory presentation to the theory of local zeta functions. Viewed as distributions, and mostly in the archimedean case, local zeta functions are also called complex powers. The volume contains major results on analytic and algebraic properties of complex powers by Atiyah, Bernstein, I. M. Gelfand, S. I. Gelfand, and Sato. Chapters devoted to $p$-adic local zeta functions present Serre's structure theorem, a rationality theorem, and many examples found by the author. The presentation concludes with theorems by Denef and Meuser. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.