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Collecting an extensive amount of information from thousands of publications by leading investigators in this rapidly developing field, this book provides a convenient and up-to-date one volume source for research in neural tumors of various cellular origins. With over 3,500 references, 110 figures and 120 tables, this volume gathers an astonishing body of knowledge regarding human neural tumors. This book is the first of its kind, encyclopedic and wide-ranging.
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This monograph represents an attempt to classify homotopy types of simply connected CW-complexes. It provides methods and examples of explicit homotopy classifications, and includes applications to the classification of manifolds.
Encouraged by the response to the first edition and the suggestions received, the text for Interpolation, Differentiation, Integration, Roots of an Equation, Solution of Simultaneous Equations, Eigenvalues and Eigenvectors of Matrix, Solution of Differential Equations, Solution of Partial Differential Equations, Monte Carlo Method and Simulation, Computation of some Functions, Statistical Parameters, Statistical Tests has been improved throughout and presented in a systematic manner using simple language. These techniques have vast applications in Science, Engineering and Technology. New to the Second Edition: Since C language is becoming popular in universities, colleges and engineering institutions this has been included besides retaining the FORTRAN and BASIC languages. Inclusion of C language would undoubtedly help students in engineering institutions in particular.
The study of quantum fluids, stimulated by the discovery of superfluidity in liquid helium, has experienced renewed interest after the observation of Bose-Einstein condensation (BEC) in ultra-cold atomic gases and the observation a new type of quantum fluid with specific characteristics derived from its intrinsic out-of-equilibrium nature. The main objective of this book is to take a snapshot of the state-of-the-art of this fast moving field with a special emphasis on the hot topics and new trends. Bringing together the most active specialists of the two areas (atomic and polaritonic quantum fluids), we expect that this book will facilitate the exchange and the collaboration between these two communities working on subjects with very strong analogies.
This volume comprises review papers presented at the Conference on Antidifferentiation and the Calculation of Feynman Amplitudes, held in Zeuthen, Germany, in October 2020, and a few additional invited reviews. The book aims at comprehensive surveys and new innovative results of the analytic integration methods of Feynman integrals in quantum field theory. These methods are closely related to the field of special functions and their function spaces, the theory of differential equations and summation theory. Almost all of these algorithms have a strong basis in computer algebra. The solution of the corresponding problems are connected to the analytic management of large data in the range of Giga- to Terabytes. The methods are widely applicable to quite a series of other branches of mathematics and theoretical physics.
This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.
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Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.