Exact Solutions for Buckling of Structural Members

In his book “Structural Design via Optimality Criteria”, George Rozvany articulates William Prager’s personal preferences in research on structural mechanics which may be summarized as: • Research should reveal some fundamental and unexpected features of the structural problem studied. • Closed form analytical solutions are preferable to numerical ones because the latter often obscu…

Engineering Analysis With ANSYS Software

This book is very much the result of a collaboration between the three co-authors: Professors Nakasone and Yoshimoto of Tokyo University of Science, Japan and Professor Stolarski of Brunel University, United Kingdom. This collaboration started some 10 years ago and initially covered only research topics of interest to the authors. Exchange of academic staff and research students have taken …

A Course in Financial Calculus

Financial mathematics provides a striking example of successful collaboration between academia and industry. Advanced mathematical techniques, developed in both universities and banks, have transformed the derivatives business into a multi-trillion-dollar market. This has led to demand for highly trained students and with that demand comes a need for textbooks. This volume provides a fir…

Computational methods for plasticity : theory and applications

THE purpose of this text is to describe in detail numerical techniques used in small and large strain finite element analysis of elastic and inelastic solids. Attention is focused on the derivation and description of various constitutive models – based on phenomenological hyperelasticity, elastoplasticity and elasto-viscoplasticity – together with the relevant numerical procedures and t…

Complex Variables and Applications

Edisi

9th ed.

ISBN/ISSN

9780073383170

Deskripsi Fisik

QA331.7.C524 – 515’.9-dc23

Judul Seri

-

No. Panggil

-

Calculus: Single Variable

Calculus is one of the greatest achievements of the human intellect. Inspired by problems in astronomy, Newton and Leibniz developed the ideas of calculus 300 years ago. Since then, each century has demonstrated the power of calculus to illuminate questions in mathematics, the physical sciences, engineering, and the social and biological sciences. Calculus has been so successful because o…

Calculus

Edisi

9th ed.

ISBN/ISSN

9780547167022

Deskripsi Fisik

xxiii, 1142 Hlm.

Judul Seri

-

No. Panggil

-

Calculus: A New Horizon

Edisi

6th ed.

ISBN/ISSN

0 471 15306 0

Deskripsi Fisik

xxix, 1130 Hlm.

Judul Seri

-

No. Panggil

-

Single Variable Calculus: Student’s Solutions Manual to accompany Jon Rogaw…

Edisi

-

ISBN/ISSN

978-0-7167-9866-8

Deskripsi Fisik

v, 741 Hlm.

Judul Seri

-

No. Panggil

-

Calculus

The calculus course is a critical course for science, technology, engineering, and math majors. This course sets the stage for many majors and is where students see the beauty of mathematics, encouraging them to take upper-level math courses. In a calculus market-research study conducted in 2008, calculus faculty pointed out three critical components to student success in the calculus. …

Single Variable CALCULUS

Edisi

2nd ed.

ISBN/ISSN

978-1-4292-4290-5

Deskripsi Fisik

iv, 810 Hlm.

Judul Seri

-

No. Panggil

-

Calculus: Early Transcendentals

The art of teaching, Mark Van Doren said, is the art of assisting discovery. I have tried to write a book that assists students in discovering calculus—both for its practical power and its surprising beauty. In this edition, as in the first seven editions, I aim to convey to the student a sense of the utility of calculus and develop technical competence, but I also strive to give some app…

A Gr¨obner-Bases Algorithm for the Computation of the Cohomology of Lie (Sup…

Abstract We present an effective algorithm for computing the standard cohomology spaces of finitely generated Lie (super) algebras over a field K of characteristic zero. In order to reach explicit representatives of some generators of the quotient space Z k Bk of cocycles Z k modulo coboundaries Bk, we apply Gr¨obner bases techniques (in the appropriate linear setting) and take advantage of …

Student Solutions Manual for Mathematical Methods for Physics and Engineering

The second edition of Mathematical Methods for Physics and Engineering carried more than twice as many exercises, based on its various chapters, as did the first. In the Preface we discussed the general question of how such exercises should be treated but, in the end, decided to provide hints and outline answers to all problems, as in the first edition. This decision was an uneasy one as, o…

Spon’s First Stage Estimating Handbook

Assessing the total cost of a construction project is a continuous process that commences when the client asks his professional advisors what it will cost. It ends when the cheque for the release of the last portion of the retention is paid and the final account is settled. Whether a project is profitable or not can often depend on decisions taken at the first stages of its life. The people…

The Proceedings of the 12th International Congress on Mathematical Education …

Edisi

-

ISBN/ISSN

9783319126883

Deskripsi Fisik

-

Judul Seri

-

No. Panggil

510 Pro

Mathematical Methods: For Students of Physics and Related Fields

This book is intended to help bridge the wide gap separating the level of mathematical sophistication expected of students of introductory physics from that expected of students of advanced courses of undergraduate physics and engineering. While nothing beyond simple calculus is required for introductory physics courses taken by physics, engineering, and chemistry majors, the next level of…

Mathematical Methods for Physics and Engineering

Since the publication of the first edition of this book, both through teaching the material it covers and as a result of receiving helpful comments from colleagues, we have become aware of the desirability of changes in a number of areas. The most important of these is that the mathematical preparation of current senior college and university entrants is now less thorough than it used to be…

Mathematical Methods for Physicists

Through six editions now, Mathematical Methods for Physicists has provided all the mathematical methods that aspirings scientists and engineers are likely to encounter as students and beginning researchers. More than enough material is included for a two-semester undergraduate or graduate course. The book is advanced in the sense that mathematical relations are almost always proven, in a…

Mathematical Methods for Physicists: A Comprehensive Guide

This, the seventh edition of Mathematical Methods for Physicists, maintains the tradition set by the six previous editions and continues to have as its objective the presentation of all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. While the organization of this edition differs in some respects from that of its…

Master math: basic math and pre-algebra

Basic Math and Pre-Algebra is the first of three books in the Master Math series. The second and third books are entitled Algebra and Re-Calculus and Geometry. The Master Math series presents the general principles of mathematics from grade school through college including arithmetic, algebra, geometry, trigonometry, pre-calculus and introductory calculus. Basic Math and Pre-Algebra is a com…

Introduction to Algorithms

We hope that this textbook provides you with an enjoyable introduction to the field of algorithms. We have attempted to make every algorithm accessible and interesting. To help you when you encounter unfamiliar or difficult algorithms, we describe each one in a step-by-step manner. We also provide careful explanations of the mathematics needed to understand the analysis of the algorithms. I…

A Mathematical Model of the Circadian Phase-Shifting Effects of Exogenous Mel…

Melatonin is endogenously produced and released in humans during nighttime darkness and is suppressed by ocular light exposure. Exogenous melatonin is used to induce circadian phase shifts and sleep. The circadian phase-shifting ability of a stimulus (e.g., melatonin or light) relative to its timing may be displayed as a phase response curve (PRC). Published PRCs to exogenous melatonin show a t…

Essential Mathematical Methods for Physicists

This text is designed for the usual introductory physics courses to prepare undergraduate students for the level of mathematics expected in more advanced undergraduate physics and engineering courses. One of its goals is to guide the student in learning the mathematical language physicists use by leading them through worked examples and then practicing problems. The pedagogy is that of int…

Algebra and Trigonometry

As a mathematics professor I would hear my students say, “I understand you in class, but when I get home I am lost.” When I would probe further, students would continue with “I can’t read the book.” As a mathematician I always found mathematics textbooks quite easy to read—and then it dawned on me: don’t look at this book through a mathematician’s eyes; look at it through the ey…

A passion for mathematics : numbers, puzzles, madness, religion, and the ques…

Today, mathematics has permeated every field of scientific endeavor and plays an invaluable role in biology, physics, chemistry, economics, sociology, and engineering. Math can be used to help explain the structure of a rainbow, teach us how to make money in the stock market, guide a spacecraft, make weather forecasts, predict population growth, design buildings, quantify happiness, and analyze…

1300 Math Formulas

This handbook is a complete desktop reference for students and engineers . It has everything from hight school math to math for advanced undergraduates in engineering, economics, physical sciences, and matehmatics.

Applied Reliability and Quality: Fundamentals, Methods and Procedures

Today, billions of dollars are being spent annually world wide to develop reliable and good quality products and services. Global competition and other factors are forcing manufacturers and others to produce highly reliable and good-quality products and services. Needless to say, nowadays reliability and quality principles are being applied across many diverse sectors of economy and each of…

The Mathematical Sciences in 2025

When I was asked to chair a committee of mathematical scientists charged with examining the field now with an eye toward how it needs to evolve to produce the best value for the country by 2025, I demurred because I am not a mathematical scientist. The counter was that therefore I would not be biased, could be objective to prevent possible internal politics from “capturing” the report,…

PROBABILITY AND STATISTICS

We are all familiar with the importance of experiments in science and engineering. Experimentation is useful to us because we can assume that if we perform certain experiments under very nearly identical conditions, we will arrive at results that are essentially the same. In these circumstances, we are able to control the value of the variables that affect the outcome of the experiment. Howe…

Calculus: Early Transcendentals

This ninth edition of Calculus maintains those aspects of previous editions that have led to the series’ success—we continue to strive for student comprehension without sacrificing mathematical accuracy, and the exercise sets are carefully constructed to avoid unhappy surprises that can derail a calculus class. However, this edition also has many new features that we hope will attract n…

Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century

This publication, Fueling Innovation and Discovery: The Mathematical Sciences in the 21st Century, is a separate product being released in advance of the final report. It is based on the committee’s identification of recent advances in the mathematical sciences or advances enabled by mathematical sciences research, drawn from the committee’s assessment of the vitality of the discipline. Thi…

1000 Solved Problems in Modern Physics

This book is targeted mainly to the undergraduate students of USA, UK and other European countries, and the M.Sc of Asian countries, but will be found useful for the graduate students, Graduate Record Examination (GRE), Teachers and Tutors. This is a by-product of lectures given at the Osmania University, University of Ottawa and University of Tebrez over several years, and is intended to a…

Mathematical model of fructan biosynthesis and polymer length distribution in…

† Background and Aims: There are many unresolved issues concerning the biochemistry of fructan biosynthesis. The aim of this paper is to address some of these by means of modelling mathematically the biochemical processes. † Methods: Amodel has been constructed for the step-by-step synthesis of fructan polymers. This is run until a steady state is achieved for which a polymer distribu…

The Proceedings of the 12th International Congress on Mathematical Education …

Edisi

-

ISBN/ISSN

9783319126883

Deskripsi Fisik

-

Judul Seri

-

No. Panggil

510 Pro

The Proceedings of the 12th International Congress on Mathematical Education …

Edisi

-

ISBN/ISSN

9783319126883

Deskripsi Fisik

-

Judul Seri

-

No. Panggil

510 Pro

The Proceedings of the 12th International Congress on Mathematical Education …

Edisi

-

ISBN/ISSN

9783319126883

Deskripsi Fisik

-

Judul Seri

-

No. Panggil

510 Pro

Symmetries of Integro-Differential Equations: With Applications in Mechanics …

The present book is an introduction to a new field in applied group analysis. The book deals with symmetries of integro-differential, stochastic and delay equations that form the basis of a large variety of mathematical models, used to describe various phenomena in fluid mechanics and plasma physics and other fields of nonlinear science. Because of its baffling complexity the mathematica…

Higher Mathematics for Physics and Engineering [PART 4-6]

Owing to the rapid advances in the physical sciences and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed for advanced undergraduates and graduate students who are interested in the mathematical aspects of their own fields of study. The reader is assumed to have a knowledge of undergraduate-level calculus and linear algebra. There are any n…

Higher Mathematics for Physics and Engineering [PART 1-3]

Owing to the rapid advances in the physical sciences and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed for advanced undergraduates and graduate students who are interested in the mathematical aspects of their own fields of study. The reader is assumed to have a knowledge of undergraduate-level calculus and linear algebra. There are any n…

The Role of Mathematics in Physical Sciences. Interdisciplinary and Philosoph…

What the role of mathematics in physical sciences is, is a relevant philosophical and historical question whose answer is necessary to fully understand the real status of physics, in particular of contemporary physics. Exactly the wish to have good and plausible answers has spurred physicists, mathematicians, historians of science, and philosophers of science from many countries to join togethe…

Numerical Analysis Using MATLAB® and Excel®

Numerical analysis is the branch of mathematics that is used to find approximations to difficult problems such as finding the roots of non−linear equations, integration involving complex expressions and solving differential equations for which analytical solutions do not exist. It is applied to a wide variety of disciplines such as business, all fields of engineering, computer science, educat…

Riemann–Cartan geometry of nonlinear disclination mechanics

Abstract. In the continuous theory of defects in nonlinear elastic solids, it is known that a distribution of disclinations leads, in general, to a non-trivial residual stress field. To study this problem, we consider the particular case of determining the residual stress field of a cylindrically symmetric distribution of parallel wedge disclinations. We first use the tools of differential geo…

Indentation of a nonlinear viscoelastic membrane

Abstract. Measurements related to the indentation of a circular membrane can be used to characterize the material response of a wide variety of materials, including biological tissue. In this paper, the axisymmetric deformation of an initially planar, homogeneous and uniformly thin membrane that is supported along a circular boundary and indented by a spherical indenter is considered. Keywo…

Homogenization of linearly elastic honeycombs

Abstract. A continuum model for the in-plane deformations of cellular materials with honeycomb texture is derived by using the tools of homogenization theory via Γ -convergence. It is shown that the effective medium does not develop couple stresses, although it exhibits some mild trait of polarity. General stress–strain relations and the yield domains for various levels of the applied body …

Detection of a buried void in an elastic layer of constant thickness: The ant…

Abstract. This work is concerned with an anti-plane inverse problem about identification of a buried void in an elastic layer of constant thickness. It is assumed that a certain load is applied to the upper boundary surface, to generate wave fields inside the layer. Then, a numerical algorithm is proposed to restore the position and size of the buried void. The input data is given by the ampli…

Boundary integral equation formulation for coupled thermoelasticity with thre…

Abstract. The present paper is aimed at formulating the boundary integral equations for the solution of equations in threedimensional Euclidian space under coupled thermoelasticity with three phase-lags. We consider the initial mixed boundary value problem in the present context and obtain the fundamental solutions of corresponding differential equations in the Laplace transform domain by empl…

A well-posed finite-strain model for thin elastic sheets with bending stiffness

Abstract. An accurate, well-posed two-dimensional model incorporating stretching and bending effects, suitable for analyzing the wrinkling pattern in stretched sheets, is derived from three-dimensional nonlinear elasticity theory. Keywords: wrinkling, finite elasticity, thin plates

A variational formulation for constitutive laws described by bipotentials

Abstract. We propose a rigorous variational formulation and an algorithm for solving the discretisation in time of the evolution problem for an implicit standard material, in terms of bipotentials. Keywords: bipotentials theory, non-associated constitutive laws, variational principles

A clarification of the role of crack-tip conditions in linear elasticity with…

Abstract. We examine the role of crack-tip conditions in the reduction of stress at a crack tip in a theory of linear elasticity with surface effects. The maximum number of allowable end conditions for complete removal of a stress singularity is demonstrated for both plane and anti-plane problems. In particular, we show that the necessary and sufficient conditions for bounded stresses at a cra…