Christian Constanda's Books

Differential Equations

A Primer for Scientists and Engineers

By: Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Differential Equations

A Primer for Scientists and Engineers

By: Christian Constanda

This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has a basic knowledge of precalculus algebra and differential and integral calculus. Its carefully crafted text adopts a concise, simple, no-frills approach to differential equations, which helps students acquire a solid experience in many classical solution techniques. With a lighter accent on the physical interpretation of the results, a more manageable page count than comparable texts, a highly readable style, and over 1000 exercises designed to be solved without a calculating device, this book emphasizes the understanding and practice of essential topics in a succinct yet fully rigorous fashion. Apart from several other enhancements, the second edition contains one new chapter on numerical methods of solution. The book formally splits the "pure" and "applied" parts of the contents by placing the discussion of selected mathematical models in separate chapters. At the end of most of the 246 worked examples, the author provides the commands in Mathematica® for verifying the results. The book can be used independently by the average student to learn the fundamentals of the subject, while those interested in pursuing more advanced material can regard it as an easily taken first step on the way to the next level. Additionally, practitioners who encounter differential equations in their professional work will find this text to be a convenient source of reference.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

300

Publisher

Springer

Published Date

ISBN 10

3319502247

ISBN 13

9783319502243

Stationary Oscillations of Elastic Plates

A Boundary Integral Equation Analysis

By: Gavin R. Thomson,Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Stationary Oscillations of Elastic Plates

A Boundary Integral Equation Analysis

By: Gavin R. Thomson,Christian Constanda

Many problems in mathematical physics rely heavily on the use of elliptical partial differential equations, and boundary integral methods play a significant role in solving these equations. Stationary Oscillations of Elastic Plates studies the latter in the context of stationary vibrations of thin elastic plates. The techniques presented here reduce the complexity of classical elasticity to a system of two independent variables, modeling problems of flexural-vibrational elastic body deformation with the aid of eigenfrequencies and simplifying them to manageable, uniquely solvable integral equations. The book is intended for an audience with a knowledge of advanced calculus and some familiarity with functional analysis. It is a valuable resource for professionals in pure and applied mathematics, and for theoretical physicists and mechanical engineers whose work involves elastic plates. Graduate students in these fields can also benefit from the monograph as a supplementary text for courses relating to theories of elasticity or flexural vibrations.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

241

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817682414

ISBN 13

9780817682415

Integral Methods in Science and Engineering

By: Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integral Methods in Science and Engineering

By: Christian Constanda

Integral methods are among the most powerful techniques for investigating real-life phenomena translated into mathematical models. This book contains a number of contributions to the development and application of such techniques in the context of linear and nonlinear problems in elasticity, fluid dynamics and mathematical physics. The procedures featured in the volume include vortex methods, analytic and numerical methods, hybrid numerical schemes, integral equation approaches, and conservation laws. The articles were presented by their authors at the Third International Conference on Integral Methods in Science and Engineering, IMSE-93, 27-29 August 1993, at Tohoku University, Sendai, Japan.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

268

Publisher

CRC Press

Published Date

ISBN 10

0582239214

ISBN 13

9780582239210

Differential Equations

A Primer for Scientists and Engineers

By: Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Differential Equations

A Primer for Scientists and Engineers

By: Christian Constanda

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

300

Publisher

Springer

Published Date

ISBN 10

3319502247

ISBN 13

9783319502243

The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains

By: Christian G Simader,H Sohr

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Dirichlet Problem for the Laplacian in Bounded and Unbounded Domains

By: Christian G Simader,H Sohr

The Dirichlet Problem -?u=ƒ in G, u|?G=0 for the Laplacian in a domain GÌRn with boundary ?G is one of the basic problems in the theory of partial differential equations and it plays a fundamental role in mathematical physics and engineering.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

308

Publisher

CRC Press

Published Date

ISBN 10

0582209536

ISBN 13

9780582209534

Dude, Can You Count? Stories, Challenges and Adventures in Mathematics

By: Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Dude, Can You Count? Stories, Challenges and Adventures in Mathematics

By: Christian Constanda

Imagine algebra class meets The Hitchhiker’s Guide to the Galaxy... Meet JJ, an unusual character with a unique vantage position from which he can measure and monitor humanity’s progress. Armed with a device that compels all around it to tell the truth, JJ offers a satirical evaluation of our attitudes to numeracy and logic, touching upon several aspects of life on Earth along the way, from the criminal justice system and people’s use of language to highway driving and modern art. A collection of mathematically-flavored stories and jokes, interlaced with puzzles, paradoxes and problems, fuse together in an entertaining, free-flowing narrative that will engage and amuse anyone with an interest in the issues confronting society today. JJ demonstrates how a lack of elementary mathematical knowledge can taint our work and general thinking and reflects upon the importance of what is arguably our most valuable weapon against ignorance: a sound mathematical education.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

294

Publisher

Copernicus

Published Date

ISBN 10

1848825382

ISBN 13

9781848825383

Mathematical Methods for Elastic Plates

By: Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Methods for Elastic Plates

By: Christian Constanda

Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical applications, from microchip production to the construction of skyscrapers and aircraft. This book employs two important analytic techniques to solve the fundamental boundary value problems for the theory of plates with transverse shear deformation, which offers a more complete picture of the physical process of bending than Kirchhoff’s classical one. The first method transfers the ellipticity of the governing system to the boundary, leading to singular integral equations on the contour of the domain. These equations, established on the basis of the properties of suitable layer potentials, are then solved in spaces of smooth (Hölder continuous and Hölder continuously differentiable) functions. The second technique rewrites the differential system in terms of complex variables and fully integrates it, expressing the solution as a combination of complex analytic potentials. The last chapter develops a generalized Fourier series method closely connected with the structure of the system, which can be used to compute approximate solutions. The numerical results generated as an illustration for the interior Dirichlet problem are accompanied by remarks regarding the efficiency and accuracy of the procedure. The presentation of the material is detailed and self-contained, making Mathematical Methods for Elastic Plates accessible to researchers and graduate students with a basic knowledge of advanced calculus.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

213

Publisher

Springer

Published Date

ISBN 10

1447164342

ISBN 13

9781447164340

Integral Methods in Science and Engineering

By: Barbara S Bertram,Christian Constanda,Allan A. Struthers

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integral Methods in Science and Engineering

By: Barbara S Bertram,Christian Constanda,Allan A. Struthers

Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

371

Publisher

CRC Press

Published Date

ISBN 10

1420036033

ISBN 13

9781420036039

Direct and Indirect Boundary Integral Equation Methods

By: Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Direct and Indirect Boundary Integral Equation Methods

By: Christian Constanda

The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of techniques that fulfill this need by providing closed-form solutions to many boundary value problems that arise in science and engineering. Boundary integral equation methods (BIEM's) have certain advantages over other procedures for solving such problems: BIEM's are powerful, applicable to a wide variety of situations, elegant, and ideal for numerical treatment. Certain fundamental constructs in BIEM's are also essential ingredients in boundary element methods, often used by scientists and engineers. However, BIEM's are also sometimes more difficult to use in plane cases than in their three-dimensional counterparts. Consequently, the full, detailed BIEM treatment of two-dimensional problems has been largely neglected in the literature-even when it is more than marginally different from that applied to the corresponding three-dimensional versions. This volume discusses three typical cases where such differences are clear: the Laplace equation (one unknown function), plane strain (two unknown functions), and the bending of plates with transverse shear deformation (three unknown functions). The author considers each of these with Dirichlet, Neumann, and Robin boundary conditions. He subjects each to a thorough investigation-with respect to the existence and uniqueness of regular solutions-through several BIEM's. He proposes suitable generalizations of the concept of logarithmic capacity for plane strain and bending of plates, then uses these to identify contours where non-uniqueness may occur. In the final section, the author compares and contrasts the various solution representations, links them by means of boundary operators, and evaluates them for their suitability for

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

212

Publisher

CRC Press

Published Date

ISBN 10

1000716708

ISBN 13

9781000716702

Integral Methods in Science and Engineering

Analytic and Numerical Techniques ; [IMSE2002, Organized at the University "Jean Monnet" in Saint-Étienne]

By: Christian Constanda,Mario Paul Ahues,Alain R. Largillier

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integral Methods in Science and Engineering

Analytic and Numerical Techniques ; [IMSE2002, Organized at the University "Jean Monnet" in Saint-Étienne]

By: Christian Constanda,Mario Paul Ahues,Alain R. Largillier

* Good reference text; clusters well with other Birkhauser integral equations & integral methods books (Estrada and Kanwal, Kythe/Puri, Constanda, et al). * Includes many practical applications/techniques for applied mathematicians, physicists, engineers, grad students. * The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool. * Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods are explored in a rigorous, accessible manner. * The new results provided are a good starting point for future exploitation of the interdisciplinary potential of integration as a unifying methodology for the investigation of mathematical models.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

312

Publisher

Springer Science & Business Media

Published Date

ISBN 10

081763228X

ISBN 13

9780817632281

Integral Methods in Science and Engineering

Techniques and Applications

By: Christian Constanda,S. Potapenko

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integral Methods in Science and Engineering

Techniques and Applications

By: Christian Constanda,S. Potapenko

The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of various approximation schemes. Whether analytic or numerical, these solutions share a common feature: they are constructed by means of the powerful tool of integration—the focus of this self-contained book. An outgrowth of the Ninth International Conference on Integral Methods in Science and Engineering, this work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The thirty two chapters of the book, written by scientists with established credentials in their fields, contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena, and the solution techniques range from theoretical integral equations to finite and boundary elements. Specific topics covered include spectral computations, atmospheric pollutant dispersion, vibration of drilling masts, bending of thermoelastic plates, homogenization, equilibria in nonlinear elasticity, modeling of syringomyelia, fractional diffusion equations, operators on Lipschitz domains, systems with concentrated masses, transmission problems, equilibrium shape of axisymmetric vesicles, boundary layer theory, and many more. Integral Methods in Science and Engineering is a useful and practical guide to a variety of topics of interest to pure and applied mathematicians, physicists, biologists, and civil and mechanical engineers, at both the professional and graduate student level.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

301

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817646701

ISBN 13

9780817646707

Integral Methods in Science and Engineering

Theoretical and Practical Aspects

By: M. Zuhair Nashed,D. Rollins

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integral Methods in Science and Engineering

Theoretical and Practical Aspects

By: M. Zuhair Nashed,D. Rollins

The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

311

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817644504

ISBN 13

9780817644505

Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation

By: I. Chudinovich,Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation

By: I. Chudinovich,Christian Constanda

Elastic plates form a class of very important mechanical structures that appear in a wide range of practical applications, from building bodies to microchip production. As the sophistication of industrial designs has increased, so has the demand for greater accuracy in analysis. This in turn has led modelers away from Kirchoff's classical theory fo

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

249

Publisher

CRC Press

Published Date

ISBN 10

1482285665

ISBN 13

9781482285666

The Generalized Fourier Series Method

Bending of Elastic Plates

By: Christian Constanda,Dale Doty

Write a review Read reviews Take a Quiz Solve Book Puzzle

The Generalized Fourier Series Method

Bending of Elastic Plates

By: Christian Constanda,Dale Doty

This book explains in detail the generalized Fourier series technique for the approximate solution of a mathematical model governed by a linear elliptic partial differential equation or system with constant coefficients. The power, sophistication, and adaptability of the method are illustrated in application to the theory of plates with transverse shear deformation, chosen because of its complexity and special features. In a clear and accessible style, the authors show how the building blocks of the method are developed, and comment on the advantages of this procedure over other numerical approaches. An extensive discussion of the computational algorithms is presented, which encompasses their structure, operation, and accuracy in relation to several appropriately selected examples of classical boundary value problems in both finite and infinite domains. The systematic description of the technique, complemented by explanations of the use of the underlying software, will help the readers create their own codes to find approximate solutions to other similar models. The work is aimed at a diverse readership, including advanced undergraduates, graduate students, general scientific researchers, and engineers. The book strikes a good balance between the theoretical results and the use of appropriate numerical applications. The first chapter gives a detailed presentation of the differential equations of the mathematical model, and of the associated boundary value problems with Dirichlet, Neumann, and Robin conditions. The second chapter presents the fundamentals of generalized Fourier series, and some appropriate techniques for orthonormalizing a complete set of functions in a Hilbert space. Each of the remaining six chapters deals with one of the combinations of domain-type (interior or exterior) and nature of the prescribed conditions on the boundary. The appendices are designed to give insight into some of the computational issues that arise from the use of the numerical methods described in the book. Readers may also want to reference the authors’ other books Mathematical Methods for Elastic Plates, ISBN: 978-1-4471-6433-3 and Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation, ISBN: 978-3-319-26307-6.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

254

Publisher

Springer Nature

Published Date

ISBN 10

3030558495

ISBN 13

9783030558499

Stationary Oscillations of Elastic Plates

A Boundary Integral Equation Analysis

By: Gavin R. Thomson,Christian Constanda

Write a review Read reviews Take a Quiz Solve Book Puzzle

Stationary Oscillations of Elastic Plates

A Boundary Integral Equation Analysis

By: Gavin R. Thomson,Christian Constanda

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

241

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817682414

ISBN 13

9780817682415

Integral Methods in Science and Engineering, Volume 2

Computational Methods

By: Maria Eugenia Perez

Write a review Read reviews Take a Quiz Solve Book Puzzle

Integral Methods in Science and Engineering, Volume 2

Computational Methods

By: Maria Eugenia Perez

The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of boundary integral methods to the application of integration-based analytic and computational techniques in almost all aspects of today's technological world. Both volumes are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

380

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817648976

ISBN 13

9780817648978

Boundary Integral Equation Methods and Numerical Solutions

Thin Plates on an Elastic Foundation

By: Christian Constanda,Dale Doty,William Hamill

Write a review Read reviews Take a Quiz Solve Book Puzzle

Boundary Integral Equation Methods and Numerical Solutions

Thin Plates on an Elastic Foundation

By: Christian Constanda,Dale Doty,William Hamill

This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of direct and indirect boundary integral equation methods (BIEMs)—and numerically, through the application of a boundary element technique. The text discusses the methodology for constructing a BIEM, deriving all the attending mathematical properties with full rigor. The model investigated in the book can serve as a template for the study of any linear elliptic two-dimensional problem with constant coefficients. The representation of the solution in terms of single-layer and double-layer potentials is pivotal in the development of a BIEM, which, in turn, forms the basis for the second part of the book, where approximate solutions are computed with a high degree of accuracy. The book is intended for graduate students and researchers in the fields of boundary integral equation methods, computational mechanics and, more generally, scientists working in the areas of applied mathematics and engineering. Given its detailed presentation of the material, the book can also be used as a text in a specialized graduate course on the applications of the boundary element method to the numerical computation of solutions in a wide variety of problems.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

242

Publisher

Springer

Published Date

ISBN 10

3319263099

ISBN 13

9783319263090

Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

By: Igor Chudinovich

Write a review Read reviews Take a Quiz Solve Book Puzzle

Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes

By: Igor Chudinovich

Variational and boundary integral equation techniques are two of the most useful methods for solving time-dependent problems described by systems of equations of the form 2 ? u = Au, 2 ?t 2 where u = u(x,t) is a vector-valued function, x is a point in a domain inR or 3 R,and A is a linear elliptic di?erential operator. To facilitate a better und- standing of these two types of methods, below we propose to illustrate their mechanisms in action on a speci?c mathematical model rather than in a more impersonal abstract setting. For this purpose, we have chosen the hyperbolic system of partial di?erential equations governing the nonstationary bending of elastic plates with transverse shear deformation. The reason for our choice is twofold. On the one hand, in a certain sense this is a “hybrid” system, c- sistingofthreeequationsforthreeunknownfunctionsinonlytwoindependent variables, which makes it more unusual—and thereby more interesting to the analyst—than other systems arising in solid mechanics. On the other hand, this particular plate model has received very little attention compared to the so-called classical one, based on Kirchho?’s simplifying hypotheses, although, as acknowledged by practitioners, it represents a substantial re?nement of the latter and therefore needs a rigorous discussion of the existence, uniqueness, and continuous dependence of its solution on the data before any construction of numerical approximation algorithms can be contemplated.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

170

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1852338881

ISBN 13

9781852338886

131 Christians Everyone Should Know

By: Christian History Magazine Editorial Staff

Write a review Read reviews Take a Quiz Solve Book Puzzle

131 Christians Everyone Should Know

By: Christian History Magazine Editorial Staff

This book offers a succinct yet thorough introduction to 131 of the most intriguing, courageous, inspiring Christians who ever lived. It tells how they lived, what they believed, and how their faith affected the course of world history. Includes a timeline with a historical context for each individual, key quotes from or about each personality, and more than 60 photos.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

386

Publisher

B&H Publishing Group

Published Date

ISBN 10

1433672553

ISBN 13

9781433672552

Book's by Christian Constanda

Username

Password

Password again

Birthday

Email