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: 6464

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.

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: 1925

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).

Introduction to Partial Differential Equations and Hilbert Space Methods

Author: Karl E. Gustafson

Publisher: Courier Corporation

ISBN: 0486140873

Category: Mathematics

Page: 480

View: 3180

Easy-to-use text examines principal method of solving partial differential equations, 1st-order systems, computation methods, and much more. Over 600 exercises, with answers for many. Ideal for a 1-semester or full-year course.

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: 2995

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

Educational Research and Innovation Teachers as Designers of Learning Environments The Importance of Innovative Pedagogies

The Importance of Innovative Pedagogies

Author: Paniagua Alejandro,Istance David

Publisher: OECD Publishing

ISBN: 9264085378


Page: 204

View: 8173

Pedagogy is at the heart of teaching and learning. Preparing young people to become lifelong learners with a deep knowledge of subject matter and a broad set of social skills requires a better understanding of how pedagogy influences learning. Focusing on pedagogies shifts the perception of ...

Mathematics for Economics and Finance

Methods and Modelling

Author: Martin Anthony,Norman Biggs

Publisher: Cambridge University Press

ISBN: 1139643266

Category: Mathematics

Page: N.A

View: 2319

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.

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: 4779

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


Prinzipien, Techniken und Werkzeuge

Author: Alfred V. Aho

Publisher: Pearson Deutschland GmbH

ISBN: 9783827370976

Category: Compiler

Page: 1253

View: 8169


Mathematics and Its History

Author: John Stillwell

Publisher: Springer Science & Business Media

ISBN: 144196052X

Category: Mathematics

Page: 662

View: 2186

From a review of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here." (David Parrott, Australian Mathematical Society) This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it’s accessible to a broad audience. This third edition includes new chapters on simple groups and new sections on alternating groups and the Poincare conjecture. Many more exercises have been added as well as commentary that helps place the exercises in context.

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: 2168

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.

Measurement with Persons

Theory, Methods, and Implementation Areas

Author: Birgitta Berglund

Publisher: Psychology Press

ISBN: 1848729391

Category: Psychology

Page: 408

View: 4339

"Measurements with persons are those in which human perception and interpretation are used for measuring complex, holistic quantities and qualities. Providing reproducible measurement of parameters for things such as pleasure and pain has important implications in evaluating products, services, and conditions. Progress in this area requires the interlinking of related developments across a variety of disciplines, embracing the physical, biological, psychological, and social sciences. Physicists and psychologists have disagreed strongly on the meaning of measurement and the possibility of "measuring" sensory events. This led to parallel developments in measurement science within the two separate camps. Both went on to generate remarkable results, but the lack of communication between them prevented coherent and interactive progress. This book's aim is to cover the topic of measurement with persons by multi- and interdisciplinary approaches, integrating the complementary aspects of general theory, measurement methods, instrumentation and modeling with the fields of psychophysics and general psychology, measurement theory, metrology and instrumentation, neurophysiology, engineering, biology, and chemistry. In the first part, generic theoretical and methodological issues are treated, including the conceptual basis of measurement in the various fields involved, the development of formal, representational and probabilistic, theories, the approach to experimentation and the theories, models and methods for multifaceted problems. In the second part, several implementation areas are presented, including sound, visual and skin perception, functional brain imagining, body language and emotions, and, finally, the use of measurements in decision making"--

Number Theory and Its History

Author: Oystein Ore

Publisher: Courier Corporation

ISBN: 9780486656205

Category: Mathematics

Page: 370

View: 3438

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

Orbital Mechanics for Engineering Students

Author: Howard D Curtis

Publisher: Butterworth-Heinemann

ISBN: 0080977480

Category: Science

Page: 768

View: 4102

Written by Howard Curtis, Professor of Aerospace Engineering at Embry-Riddle University, Orbital Mechanics for Engineering Students is a crucial text for students of aerospace engineering. Now in its 3e, the book has been brought up-to-date with new topics, key terms, homework exercises, and fully worked examples. Highly illustrated and fully supported with downloadable MATLAB algorithms for project and practical work, this book provides all the tools needed to fully understand the subject. New chapter on orbital perturbations New and revised examples and homework problems Increased coverage of attitude dynamics, including new MATLAB algorithms and examples

Numerical Methods for Ordinary Differential Equations

Author: J. C. Butcher

Publisher: John Wiley & Sons

ISBN: 9780470753750

Category: Mathematics

Page: 482

View: 7033

In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods and general linear methods. Although the specialist topics are taken to an advanced level, the entry point to the volume as a whole is not especially demanding. Early chapters provide a wide-ranging introduction to differential equations and difference equations together with a survey of numerical differential equation methods, based on the fundamental Euler method with more sophisticated methods presented as generalizations of Euler. Features of the book include Introductory work on differential and difference equations. A comprehensive introduction to the theory and practice of solving ordinary differential equations numerically. A detailed analysis of Runge-Kutta methods and of linear multistep methods. A complete study of general linear methods from both theoretical and practical points of view. The latest results on practical general linear methods and their implementation. A balance between informal discussion and rigorous mathematical style. Examples and exercises integrated into each chapter enhancing the suitability of the book as a course text or a self-study treatise. Written in a lucid style by one of the worlds leading authorities on numerical methods for ordinary differential equations and drawing upon his vast experience, this new edition provides an accessible and self-contained introduction, ideal for researchers and students following courses on numerical methods, engineering and other sciences.

Advanced Mathematical Methods for Engineering and Science Students

Author: G. Stephenson,P. M. Radmore

Publisher: Cambridge University Press

ISBN: 9780521368605

Category: Mathematics

Page: 255

View: 6679

This textbook provides a solid foundation to a number of important topics in mathematics of interest to science and engineering students. Included are tensor algebra, ordinary differential equations, contour integration, Laplace and Fourier transforms, partial differential equations and the calculus of variations. The authors' approach is simple and direct with an emphasis on the analytical understanding of the material. The text is virtually selfcontained, assuming only that the student has a solid understanding of ancillary mathematics. Each chapter contains a large number of worked examples, and concludes with problems for solution, with answers in the back of the book.

Differential and Integral Calculus

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 9780471608424

Category: Mathematics

Page: 640

View: 8177

Now available in a low-priced paperback edition! Written by one of the foremost mathematicians of the 20th century, this text remains the only modern treatment to successfully integrate principles of analysis into first-year calculus. Further, Courant's treatment introduces the differential and integral calculus simultaneously, emphasizing the central point of the calculus, namely, the connection between definite integral, indefinite integral, and derivative. Exposition exhibits the close connection between analysis and its applications, making this text appropriate for students of mathematics, or of science and engineering. Courant makes the subject easier to grasp by giving proofs step-by-step, and by developing the intuition that gave rise to the calculus and guides its use today.

Advanced Mathematical Methods in Science and Engineering

Author: S.I. Hayek

Publisher: CRC Press

ISBN: 9780824704667

Category: Technology & Engineering

Page: 752

View: 8130

Gathering an extensive range of mathematical topics into a plenary reference/text for solving science and engineering problems, Advanced Mathematical Models in Science and Engineering elucidates integral methods, field equation derivations, and operations applicable to modern science systems. Applying academic skills to practical problems in science and engineering, the author reviews basic methods of integration and series solutions for ordinary differential equations; introduces derivations and solution methods for linear boundary value problems in one dimension, covering eigenfunctions and eigenfunction expansions, orthogonality, and adjoint and self-adjoint systems; discusses complex variables, calculus, and integrals as well as application of residues and the integration of multivalued functions; considers linear partial differential equations in classical physics and engineering with derivations for the topics of wave equations, heat flow, vibration, and strength of materials; clarifies the calculus for integral transforms; explains Green's functions for ordinary and partial differential equations for unbounded and bounded media; examines asymptotic methods; presents methods for asymptotic solutions of ordinary differential equations; and more.

Mathematical Methods for Engineers and Scientists 2

Vector Analysis, Ordinary Differential Equations and Laplace Transforms

Author: Kwong-Tin Tang

Publisher: Springer Science & Business Media

ISBN: 3540302700

Category: Science

Page: 339

View: 8873

Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student-oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with carefully selected problem sets with answers are used to enhance students' understanding and manipulative skill. The goal is to help students feel comfortable and confident in using advanced mathematical tools in junior, senior, and beginning graduate courses.

Mathematical Methods

For Students of Physics and Related Fields

Author: Sadri Hassani

Publisher: Springer Science & Business Media

ISBN: 9780387989587

Category: Mathematics

Page: 659

View: 7790

Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.