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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations

Differential Equations with Boundary-Value Problems, International Metric Edition (Paperback, 9th edition): Dennis Zill Differential Equations with Boundary-Value Problems, International Metric Edition (Paperback, 9th edition)
Dennis Zill
R1,342 R1,251 Discovery Miles 12 510 Save R91 (7%) Ships in 10 - 15 working days

Straightforward and easy to read, DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 9E, INTERNATIONAL METRIC EDITION gives you a thorough overview of the topics typically taught in a first course in Differential Equations as well as an introduction to boundary-value problems and partial Differential Equations. Your study will be supported by a bounty of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and more.

Differential Equations with Boundary-Value Problems, International Edition (Paperback, 8th edition): Warren Wright, Dennis Zill Differential Equations with Boundary-Value Problems, International Edition (Paperback, 8th edition)
Warren Wright, Dennis Zill 1
R1,394 R1,294 Discovery Miles 12 940 Save R100 (7%) Ships in 10 - 15 working days

DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 8E, International Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations.

Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems (Hardcover):... Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems (Hardcover)
Smirnov, Ilyinsky
R2,960 R2,557 Discovery Miles 25 570 Save R403 (14%) Ships in 12 - 17 working days

This book covers the latest problems of modern mathematical methods for three-dimensional problems of diffraction by arbitrary conducting screens. This comprehensive study provides an introduction to methods of constructing generalized solutions, elements of potential theory, and other underlying mathematical tools. The problem settings, which turn out to be extremely effective, differ significantly from the known approaches and are based on the original concept of vector spaces 'produced' by Maxwell equations. The formalism of pseudodifferential operators enables to prove uniqueness theorems and the Fredholm property for all problems studied. Readers will gain essential insight into the state-of-the-art technique of investigating three-dimensional problems for closed and unclosed screens based on systems of pseudodifferential equations. A detailed treatment of the properties of their kernels, in particular degenerated, is included. Special attention is given to the study of smoothness of generalized solutions and properties of traces.

Differential Equations with Boundary Value Problems, International Metric Edition (Paperback, 8th edition): Dennis Zill Differential Equations with Boundary Value Problems, International Metric Edition (Paperback, 8th edition)
Dennis Zill
R1,364 R1,268 Discovery Miles 12 680 Save R96 (7%) Ships in 10 - 15 working days

DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 8E, INTERNATIONAL METRIC EDITION strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. Beginning engineering and math students like you benefit from this accessible text's wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides you with a thorough treatment of boundary-value problems and partial differential equations.

Partial Differential Equations (Hardcover): Osamu Sano Partial Differential Equations (Hardcover)
Osamu Sano
R2,836 Discovery Miles 28 360 Ships in 10 - 15 working days

Quite a number of phenomena in science and technology, industrial and/or agricultural production and transport, medical and/or biological flows and movements, social and/or economical developments, etc., depend on many variables, and are very much complicated. Although the detailed knowledge is accumulated in respective fields, it is meaningful to model and analyze the essential part of the phenomena in terms of smaller number of variables, which falls into partial differential equations. This book aims at providing students and researchers the basic ideas and the methods to solve problems in various fields. Particular attention is paid to bridge the gap between mathematics and the real world. To do this, we start from a simple system with intuitively understandable physical background, extract the essential part, formulate into mathematical tools, and then generalize for further application. Here logical thinking in depth and wide linking to various fields are sought to construct intellectual network.

Dissipative Lattice Dynamical Systems (Hardcover): Xiaoying Han, Peter Kloeden Dissipative Lattice Dynamical Systems (Hardcover)
Xiaoying Han, Peter Kloeden
R3,765 Discovery Miles 37 650 Ships in 10 - 15 working days

There is an extensive literature in the form of papers (but no books) on lattice dynamical systems. The book focuses on dissipative lattice dynamical systems and their attractors of various forms such as autonomous, nonautonomous and random. The existence of such attractors is established by showing that the corresponding dynamical system has an appropriate kind of absorbing set and is asymptotically compact in some way.There is now a very large literature on lattice dynamical systems, especially on attractors of all kinds in such systems. We cannot hope to do justice to all of them here. Instead, we have focused on key areas of representative types of lattice systems and various types of attractors. Our selection is biased by our own interests, in particular to those dealing with biological applications. One of the important results is the approximation of Heaviside switching functions in LDS by sigmoidal functions.Nevertheless, we believe that this book will provide the reader with a solid introduction to the field, its main results and the methods that are used to obtain them.

Schaum's Outline of Differential Equations, Fifth Edition (Paperback, 5th edition): Richard Bronson, Gabriel B Costa Schaum's Outline of Differential Equations, Fifth Edition (Paperback, 5th edition)
Richard Bronson, Gabriel B Costa
R510 Discovery Miles 5 100 Ships in 12 - 17 working days

Study smarter and stay on top of your differential equations course with the bestselling Schaum's Outline-now with the NEW Schaum's app and website! Schaum's Outline of Differential Equations, Fifth Edition is the go-to study guide for all students of science who need to learn or refresh their knowledge of differential equations. With an outline format that facilitates quick and easy review and mirrors the course in scope and sequence, this book helps you understand basic concepts and get the extra practice you need to excel in the course. It supports the all major differential equations textbooks and is useful for study in Calculus (I, II, and III), Mathematical Modeling, Introductory Differential Equations and Differential Equations. Chapters include an Introduction to Modeling and Qualitative Methods, Classifications of First-Order Differential Equations, Linear Differential Equations, Variation of Parameters, Initial-Value Problems for Linear Differential Equations, Graphical and Numerical Methods for Solving First-Order Differential Equations, Solutions of Linear Differential Equations with Constant Coefficients by Laplace Transforms, and more. Features: NEW to this edition: the new Schaum's app and website! NEW CHAPTERS include Autonomous Differential Equations and Qualitative Methods; Eigenvalues and Eigenvectors; three chapters dealing with Solutions of Systems of Autonomous Equations via Eigenvalues and Eigenvectors (real and distinct, real and equal, and complex conjugate Eigenvalues) 20 problem-solving videos online 563 solved problems Outline format provides a quick and easy review of differential equations Clear, concise explanations of differential equations concepts Hundreds of examples with explanations of key concepts Supports all major textbooks for differential equations courses Appropriate for the following courses: Calculus (I, II, and III), Mathematical Modeling, Introductory Differential Equations, and Differential Equations

Hormander Operators (Hardcover): Marco Bramanti, Luca Brandolini Hormander Operators (Hardcover)
Marco Bramanti, Luca Brandolini
R5,407 Discovery Miles 54 070 Ships in 10 - 15 working days

Hoermander operators are a class of linear second order partial differential operators with nonnegative characteristic form and smooth coefficients, which are usually degenerate elliptic-parabolic, but nevertheless hypoelliptic, that is highly regularizing. The study of these operators began with the 1967 fundamental paper by Lars Hoermander and is intimately connected to the geometry of vector fields.Motivations for the study of Hoermander operators come for instance from Kolmogorov-Fokker-Planck equations arising from modeling physical systems governed by stochastic equations and the geometric theory of several complex variables. The aim of this book is to give a systematic exposition of a relevant part of the theory of Hoermander operators and vector fields, together with the necessary background and prerequisites.The book is intended for self-study, or as a reference book, and can be useful to both younger and senior researchers, already working in this area or aiming to approach it.

Qualitative Theory Of Odes: An Introduction To Dynamical Systems Theory (Hardcover): Henryk Zoladek, Raul Murillo Qualitative Theory Of Odes: An Introduction To Dynamical Systems Theory (Hardcover)
Henryk Zoladek, Raul Murillo
R2,707 Discovery Miles 27 070 Ships in 10 - 15 working days

The Qualitative Theory of Ordinary Differential Equations (ODEs) occupies a rather special position both in Applied and Theoretical Mathematics. On the one hand, it is a continuation of the standard course on ODEs. On the other hand, it is an introduction to Dynamical Systems, one of the main mathematical disciplines in recent decades. Moreover, it turns out to be very useful for graduates when they encounter differential equations in their work; usually those equations are very complicated and cannot be solved by standard methods.The main idea of the qualitative analysis of differential equations is to be able to say something about the behavior of solutions of the equations, without solving them explicitly. Therefore, in the first place such properties like the stability of solutions stand out. It is the stability with respect to changes in the initial conditions of the problem. Note that, even with the numerical approach to differential equations, all calculations are subject to a certain inevitable error. Therefore, it is desirable that the asymptotic behavior of the solutions is insensitive to perturbations of the initial state.Each chapter contains a series of problems (with varying degrees of difficulty) and a self-respecting student should solve them. This book is based on Raul Murillo's translation of Henryk Zoladek's lecture notes, which were in Polish and edited in the portal Matematyka Stosowana (Applied Mathematics) in the University of Warsaw.

Nonlinear Functional Analysis and Applications (Hardcover): Jesus Garcia-Falset, Khalid Latrach Nonlinear Functional Analysis and Applications (Hardcover)
Jesus Garcia-Falset, Khalid Latrach
R5,407 Discovery Miles 54 070 Ships in 12 - 17 working days

This work is devoted to fixed point theory as well as the theory of accretive operators in Banach spaces. The goal is to develop, in self-contained way, the main results in both theories. Special emphasis is given to the study how both theories can be used to study the existence and uniqueness of solution of several types of partial differential equations and integral equations.

Boundary Elements and other Mesh Reduction Methods XLI (Hardcover): A. H.-D. Cheng, S. Syngellakis Boundary Elements and other Mesh Reduction Methods XLI (Hardcover)
A. H.-D. Cheng, S. Syngellakis
R3,541 Discovery Miles 35 410 Ships in 10 - 15 working days

Containing the proceedings from the 41st conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM), this book is a collection of high quality papers that report on advances in techniques that reduce or eliminate the type of meshes associated with such methods as finite elements or finite differences. As design, analysis and manufacture become more integrated the chances are that the users will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily in the integrated process. The maturity of BEM since 1978 has resulted in a substantial number of industrial applications that demonstrate the accuracy, robustness and easy use of the technique. Their range still needs to be widened, taking into account the potentialities of the Mesh Reduction techniques in general. The papers in this volume help to expand the range of applications as well as the type of materials in response to industrial and professional requirements.

Cross Diffusion Systems - Dynamics, Coexistence and Persistence (Hardcover): Dung Le Cross Diffusion Systems - Dynamics, Coexistence and Persistence (Hardcover)
Dung Le
R4,847 Discovery Miles 48 470 Ships in 12 - 17 working days

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.

Differential Equations and Linear Algebra, Global Edition (Paperback, 4th edition): C. Edwards, David Penney, David Calvis Differential Equations and Linear Algebra, Global Edition (Paperback, 4th edition)
C. Edwards, David Penney, David Calvis
R2,616 Discovery Miles 26 160 Ships in 12 - 17 working days

For courses in Differential Equations and Linear Algebra. The right balance between concepts, visualisation, applications, and skills Differential Equations and Linear Algebra provides the conceptual development and geometric visualisation of a modern differential equations and linear algebra course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomena - a comprehensive approach that makes accessible a wider range of more realistic applications. The book combines core topics in elementary differential equations with concepts and methods of elementary linear algebra. It starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout.

A Differential Equation from a Parallel Universe (Hardcover): Julio Cesar Martinez Romero A Differential Equation from a Parallel Universe (Hardcover)
Julio Cesar Martinez Romero
R878 Discovery Miles 8 780 Ships in 12 - 17 working days
A Collection of Papers On Chaos Theory and Its Applications (Hardcover): Paul Bracken, Dimo I. Uzunov A Collection of Papers On Chaos Theory and Its Applications (Hardcover)
Paul Bracken, Dimo I. Uzunov
R3,538 Discovery Miles 35 380 Ships in 10 - 15 working days
Partial Differential Equations (Paperback): Osamu Sano Partial Differential Equations (Paperback)
Osamu Sano
R1,743 Discovery Miles 17 430 Ships in 10 - 15 working days

Quite a number of phenomena in science and technology, industrial and/or agricultural production and transport, medical and/or biological flows and movements, social and/or economical developments, etc., depend on many variables, and are very much complicated. Although the detailed knowledge is accumulated in respective fields, it is meaningful to model and analyze the essential part of the phenomena in terms of smaller number of variables, which falls into partial differential equations. This book aims at providing students and researchers the basic ideas and the methods to solve problems in various fields. Particular attention is paid to bridge the gap between mathematics and the real world. To do this, we start from a simple system with intuitively understandable physical background, extract the essential part, formulate into mathematical tools, and then generalize for further application. Here logical thinking in depth and wide linking to various fields are sought to construct intellectual network.

Optimization and Control for Partial Differential Equations - Uncertainty quantification, open and closed-loop control, and... Optimization and Control for Partial Differential Equations - Uncertainty quantification, open and closed-loop control, and shape optimization (Hardcover)
Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler, Emmanuel Trelat
R5,088 Discovery Miles 50 880 Ships in 12 - 17 working days

This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Finite Element Analysis: Biomedical Aspects (Hardcover): Connie McGuire Finite Element Analysis: Biomedical Aspects (Hardcover)
Connie McGuire
R2,575 Discovery Miles 25 750 Ships in 12 - 17 working days
Elementary Number Theory - Pearson New International Edition (Paperback, 6th edition): Kenneth Rosen Elementary Number Theory - Pearson New International Edition (Paperback, 6th edition)
Kenneth Rosen
R2,468 Discovery Miles 24 680 Ships in 12 - 17 working days

Elementary Number Theory, 6th Edition, blends classical theory with modern applications and is notable for its outstanding exercise sets. A full range of exercises, from basic to challenging, helps students explore key concepts and push their understanding to new heights. Computational exercises and computer projects are also available. Reflecting many years of professor feedback, this edition offers new examples, exercises, and applications, while incorporating advancements and discoveries in number theory made in the past few years.

Industrial Aspects of Finite Element Analysis (Hardcover): Connie McGuire Industrial Aspects of Finite Element Analysis (Hardcover)
Connie McGuire
R2,261 Discovery Miles 22 610 Ships in 12 - 17 working days
Geometric Potential Analysis (Hardcover): Mario Milman, Jie Xiao, Boguslaw Zegarlinski Geometric Potential Analysis (Hardcover)
Mario Milman, Jie Xiao, Boguslaw Zegarlinski
R5,861 Discovery Miles 58 610 Ships in 12 - 17 working days

This monograph contains papers that were delivered at the special session on Geometric Potential Analysis, that was part of the Mathematical Congress of the Americas 2021, virtually held in Buenos Aires. The papers, that were contributed by renowned specialists worldwide, cover important aspects of current research in geometrical potential analysis and its applications to partial differential equations and mathematical physics.

Lectures on Cauchy's problem in linear partial differential equations (Hardcover): Jacques Hadamard Lectures on Cauchy's problem in linear partial differential equations (Hardcover)
Jacques Hadamard
R1,011 R915 Discovery Miles 9 150 Save R96 (9%) Ships in 10 - 15 working days
Essential Concepts of Differential Equations: Volume II (Hardcover): Calanthia Wright Essential Concepts of Differential Equations: Volume II (Hardcover)
Calanthia Wright
R3,198 Discovery Miles 31 980 Ships in 12 - 17 working days
Essential Concepts of Differential Equations: Volume I (Hardcover): Calanthia Wright Essential Concepts of Differential Equations: Volume I (Hardcover)
Calanthia Wright
R3,203 Discovery Miles 32 030 Ships in 12 - 17 working days
Ordinary Differential Equations With Applications (2nd Edition) (Hardcover, 2nd Revised edition): Sze-Bi Hsu Ordinary Differential Equations With Applications (2nd Edition) (Hardcover, 2nd Revised edition)
Sze-Bi Hsu
R1,504 Discovery Miles 15 040 Ships in 12 - 17 working days

During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook and as a valuable resource for researchers.This new edition contains corrections and suggestions from the various readers and users. A new chapter on Monotone Dynamical Systems is added to take into account the new developments in ordinary differential equations and dynamical systems.

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