Its Content, Methods and Meaning

Author: A. D. Aleksandrov,A. N. Kolmogorov,M. A. Lavrent’ev

Publisher: Courier Corporation

ISBN: 0486157873

Category: Mathematics

Page: 1120

View: 3508


Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.

What is Mathematics?

An Elementary Approach to Ideas and Methods

Author: Richard Courant,Herbert Robbins,Ian Stewart

Publisher: Oxford University Press, USA

ISBN: 9780195105193

Category: Mathematics

Page: 566

View: 4797


A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.

Mathematics for Economics and Finance

Methods and Modelling

Author: Martin Anthony,Norman Biggs

Publisher: Cambridge University Press

ISBN: 9780521559133

Category: Business & Economics

Page: 394

View: 8148


Mathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.

Advanced Cataloguing Practice: Based On Anglo-American Cataloguing Rules 2Nd Ed.

Author: Krishan Kumar,B.S. Garg

Publisher: Har-Anand Publications

ISBN: 9788124109960


Page: 264

View: 2967


The book describes rules for cataloguing of printed monograph and serials; and also contains catalogue entries for 44 complex documents (printed monographs and serials) along with the one simple document (to illustrate different kinds of entries), prepared according to Anglo-American Cataloguing Rules (2nd editio) (1978) (AACR2) and Library of Congress Subject Headings (20th edition) (1997) (LCSH2O).

Great Currents of Mathematical Thought

Marthematics in the Arts and Sciences

Author: François Le Lionnais

Publisher: Courier Corporation

ISBN: 9780486495798

Category: Mathematics

Page: 266

View: 4589


50 essays by eminent scholars include meditations on "Structures," Disciplines," "Space," "Function," "Group," "Probability," and "The Mathematical Epic" (Volume I) and on "Mathematics and the Human Intellect," "Mathematics and Technology," and "Mathematics and Civilization" (Volume II). 1962 edition.

Number Theory and Its History

Author: Oystein Ore

Publisher: Courier Corporation

ISBN: 9780486656205

Category: Mathematics

Page: 370

View: 4183


Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

A Unified Approach to the Finite Element Method and Error Analysis Procedures

Author: Julian A. T. Dow

Publisher: Elsevier

ISBN: 9780080543420

Category: Technology & Engineering

Page: 533

View: 2904


A Unified Approach to the Finite Element Method and Error Analysis Procedures provides an in-depth background to better understanding of finite element results and techniques for improving accuracy of finite element methods. Thus, the reader is able to identify and eliminate errors contained in finite element models. Three different error analysis techniques are systematically developed from a common theoretical foundation: 1) modeling erros in individual elements; 2) discretization errors in the overall model; 3) point-wise errors in the final stress or strain results. Thoroughly class tested with undergraduate and graduate students. A Unified Approach to the Finite Element Method and Error Analysis Procedures is sure to become an essential resource for students as well as practicing engineers and researchers. New, simpler element formulation techniques, model-independent results, and error measures New polynomial-based methods for identifying critical points New procedures for evaluating sheer/strain accuracy Accessible to undergraduates, insightful to researchers, and useful to practitioners Taylor series (polynomial) based Intuitive elemental and point-wise error measures Essential background information provided in 12 appendices

Geometric Methods and Applications

For Computer Science and Engineering

Author: Jean Gallier

Publisher: Springer Science & Business Media

ISBN: 9781441999610

Category: Mathematics

Page: 680

View: 9425


This book is an introduction to the fundamental concepts and tools needed for solving problems of a geometric nature using a computer. It attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, robotics, or machine learning. This book covers the following topics: affine geometry, projective geometry, Euclidean geometry, convex sets, SVD and principal component analysis, manifolds and Lie groups, quadratic optimization, basics of differential geometry, and a glimpse of computational geometry (Voronoi diagrams and Delaunay triangulations). Some practical applications of the concepts presented in this book include computer vision, more specifically contour grouping, motion interpolation, and robot kinematics. In this extensively updated second edition, more material on convex sets, Farkas’s lemma, quadratic optimization and the Schur complement have been added. The chapter on SVD has been greatly expanded and now includes a presentation of PCA. The book is well illustrated and has chapter summaries and a large number of exercises throughout. It will be of interest to a wide audience including computer scientists, mathematicians, and engineers. Reviews of first edition: "Gallier's book will be a useful source for anyone interested in applications of geometrical methods to solve problems that arise in various branches of engineering. It may help to develop the sophisticated concepts from the more advanced parts of geometry into useful tools for applications." (Mathematical Reviews, 2001) " will be useful as a reference book for postgraduates wishing to find the connection between their current problem and the underlying geometry." (The Australian Mathematical Society, 2001)