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

Variational Convergence And Stochastic Homogenization Of Nonlinear Reaction-diffusion Problems (Hardcover): Omar Anza Hafsa,... Variational Convergence And Stochastic Homogenization Of Nonlinear Reaction-diffusion Problems (Hardcover)
Omar Anza Hafsa, Jean Philippe Mandallena, Gerard Michaille
R2,613 Discovery Miles 26 130 Ships in 18 - 22 working days

A substantial number of problems in physics, chemical physics, and biology, are modeled through reaction-diffusion equations to describe temperature distribution or chemical substance concentration. For problems arising from ecology, sociology, or population dynamics, they describe the density of some populations or species. In this book the state variable is a concentration, or a density according to the cases. The reaction function may be complex and include time delays terms that model various situations involving maturation periods, resource regeneration times, or incubation periods. The dynamics may occur in heterogeneous media and may depend upon a small or large parameter, as well as the reaction term. From a purely formal perspective, these parameters are indexed by n. Therefore, reaction-diffusion equations give rise to sequences of Cauchy problems.The first part of the book is devoted to the convergence of these sequences in a sense made precise in the book. The second part is dedicated to the specific case when the reaction-diffusion problems depend on a small parameter intended to tend towards 0. This parameter accounts for the size of small spatial and randomly distributed heterogeneities. The convergence results obtained in the first part, with additionally some probabilistic tools, are applied to this specific situation. The limit problems are illustrated through biological invasion, food-limited or prey-predator models where the interplay between environment heterogeneities in the individual evolution of propagation species plays an essential role. They provide a description in terms of deterministic and homogeneous reaction-diffusion equations, for which numerical schemes are possible.

Excel in Complex Variables with the Complex Variable Boundary Element Method (Hardcover): Bryce Wilkins, Theodore Hromadka II Excel in Complex Variables with the Complex Variable Boundary Element Method (Hardcover)
Bryce Wilkins, Theodore Hromadka II
R3,245 Discovery Miles 32 450 Ships in 18 - 22 working days

Using the familiar software Microsoft ® Excel, this book examines the applications of complex variables. Implementation of the included problems in Excel eliminates the “black box” nature of more advanced computer software and programming languages and therefore the reader has the chance to become more familiar with the underlying mathematics of the complex variable problems. This book consists of two parts. In Part I, several topics are covered that one would expect to find in an introductory text on complex variables. These topics include an overview of complex numbers, functions of a complex variable, and the Cauchy integral formula. In particular, attention is given to the study of analytic complex variable functions. This attention is warranted because of the property that the real and imaginary parts of an analytic complex variable function can be used to solve the Laplace partial differential equation (PDE). Laplace's equation is ubiquitous throughout science and engineering as it can be used to model the steady-state conditions of several important transport processes including heat transfer, soil-water flow, electrostatics, and ideal fluid flow, among others. In Part II, a specialty application of complex variables known as the Complex Variable Boundary Element Method (CVBEM) is examined. CVBEM is a numerical method used for solving boundary value problems governed by Laplace's equation. This part contains a detailed description of the CVBEM and a guide through each step of constructing two CVBEM programs in Excel. The writing of these programs is the culminating event of the book. Students of complex variables and anyone with interest in a novel method for approximating potential functions using the principles of complex variables are the intended audience for this book. The Microsoft Excel applications (including simple programs as well as the CVBEM program) covered will also be of interest in the industry, as these programs are accessible to anybody with Microsoft Office.

Industrial Aspects of Finite Element Analysis (Hardcover): Connie McGuire Industrial Aspects of Finite Element Analysis (Hardcover)
Connie McGuire
R2,090 Discovery Miles 20 900 Ships in 10 - 15 working days
Management and Applications of Complex Systems (Hardcover): G. Rzevski, S. Syngellakis Management and Applications of Complex Systems (Hardcover)
G. Rzevski, S. Syngellakis
R2,290 Discovery Miles 22 900 Ships in 18 - 22 working days

Complex Systems occur in an infinite variety of problems, not only in the realm of physical sciences and engineering, but encompassing fields as diverse as economy, the environment, humanities, social and political sciences. The high level of dynamics of such systems, which is usually expressed through the frequent occurrence of unpredictable disruptive events, makes conventional optimizers, batch schedulers and resource planning systems unworkable. Composed of selected research papers, this book brings together new developments and processes for managing complexity. The included works originate from renowned complexity thinkers, well established practitioners and new researchers in the field and detail issues of common interest. This title will particularly appeal to researchers, developers and users of complex systems from a variety of disciplines, alongside specialists in modelling complex issues.

Applications of Functional Analysis and Operator Theory, Volume 200 (Hardcover, 2nd edition): V. Hutson, J Pym, M. Cloud Applications of Functional Analysis and Operator Theory, Volume 200 (Hardcover, 2nd edition)
V. Hutson, J Pym, M. Cloud
R6,141 Discovery Miles 61 410 Ships in 18 - 22 working days

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces.
Key Features
- Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering.
- Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results.
- Introduces each new topic with a clear, concise explanation.
- Includes numerous examples linking fundamental principles with applications.
- Solidifies the reader's understanding with numerous end-of-chapter problems.
-Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering.
-Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results.
-Introduces each new topic with a clear, concise explanation.
-Includes numerous examples linking fundamental principles with applications.
-Solidifies the reader's understanding with numerous end-of-chapter problems.

Sudoku Puzzle Book for Adults - Easy to Hard 120 Large Print Sudoku Puzzles - One Puzzle Per Page with Solutions (Brain Games... Sudoku Puzzle Book for Adults - Easy to Hard 120 Large Print Sudoku Puzzles - One Puzzle Per Page with Solutions (Brain Games Book 10) (Large print, Paperback, Large type / large print edition)
Brainstorm Maker
R304 Discovery Miles 3 040 Ships in 10 - 15 working days
Effective Dynamics of Stochastic Partial Differential Equations (Hardcover, New): Jinqiao Duan, Wei Wang Effective Dynamics of Stochastic Partial Differential Equations (Hardcover, New)
Jinqiao Duan, Wei Wang
R1,816 Discovery Miles 18 160 Ships in 10 - 15 working days

Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations.

The authors experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension.
New techniques for extracting effective dynamics of infinite dimensional dynamical systems under uncertaintyAccessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equationsSolutions or hints to all Exercises"

The Boundary Element Method for Plate Analysis (Hardcover): J.T. Katsikadelis The Boundary Element Method for Plate Analysis (Hardcover)
J.T. Katsikadelis
R3,246 R3,039 Discovery Miles 30 390 Save R207 (6%) Ships in 10 - 15 working days

"Boundary Element Method for Plate Analysis" offers one of the first systematic and detailed treatments of the application of BEM to plate analysis and design.

Aiming to fill in the knowledge gaps left by contributed volumes on the topic and increase the accessibility of the extensive journal literature covering BEM applied to plates, author John T. Katsikadelis draws heavily on his pioneering work in the field to provide a complete introduction to theory and application.

Beginning with a chapter of preliminary mathematical background to make the book a self-contained resource, Katsikadelis moves on to cover the application of BEM to basic thin plate problems and more advanced problems. Each chapter contains several examples described in detail and closes with problems to solve. Presenting the BEM as an efficient computational method for practical plate analysis and design, "Boundary Element Method for Plate Analysis" is a valuable reference for researchers, students and engineers working with BEM and plate challenges within mechanical, civil, aerospace and marine engineering.
One of the first resources dedicated to boundary element analysis of plates, offering a systematic and accessible introductory to theory and applicationAuthored by a leading figure in the field whose pioneering work has led to the development of BEM as an efficient computational method for practical plate analysis and designIncludes mathematical background, examples and problems in one self-contained resource

Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded... Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains (Hardcover)
Feliz Manuel Minhos, Robert De Sousa
R2,369 Discovery Miles 23 690 Ships in 18 - 22 working days

Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically. The existence, and in some cases, the localization of the solutions are carried out in Banach space, following several types of arguments and approaches such as Schauder's fixed-point theorem or Guo-Krasnosel'ski? fixed-point theorem in cones, allied to Green's function or its estimates, lower and upper solutions, convenient truncatures, the Nagumo condition presented in different forms, the concept of equiconvergence, Caratheodory functions, and sequences. Moreover, the final part in the volume features some techniques on how to relate differential coupled systems to integral ones, which require less regularity. Parallel to the theoretical explanation of this work, there is a range of practical examples and applications involving real phenomena, focusing on physics, mechanics, biology, forestry, and dynamical systems, which researchers and students will find useful.

An Introduction to Nonsmooth Analysis (Paperback, New): J. Ferrera An Introduction to Nonsmooth Analysis (Paperback, New)
J. Ferrera
R1,376 Discovery Miles 13 760 Ships in 10 - 15 working days

Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematicsthat introduce this interesting area in detail.
Includes different kinds of sub and super differentials as well as generalized gradientsIncludes also the main tools of the theory, as Sum and Chain Rules or Mean Value theoremsContent isintroduced in an elementary way, developing many examples, allowing the reader to understand a theory which is scattered in many papers and research books"

Thomas' Calculus: Early Transcendentals, SI Units (Paperback, 15th edition): Joel Hass, Christopher Heil, Maurice Weir Thomas' Calculus: Early Transcendentals, SI Units (Paperback, 15th edition)
Joel Hass, Christopher Heil, Maurice Weir
R2,189 R1,762 Discovery Miles 17 620 Save R427 (20%) Ships in 5 - 10 working days

Thomas' Calculus: Early Transcendentals goes beyond memorizing formulas and routine procedures to help you develop deeper understanding. It guides you to a level of mathematical proficiency, with additional support if needed through its clear and intuitive explanations, current applications and generalized concepts. Technology exercises in every section use the calculator or computer for solving problems, and Computer Explorations offer exercises requiring a computer algebra system like Maple or Mathematica. The 15th Edition adds exercises, revises figures and language for clarity, and updates many applications.

Essential Concepts of Differential Equations: Volume II (Hardcover): Calanthia Wright Essential Concepts of Differential Equations: Volume II (Hardcover)
Calanthia Wright
R3,248 R2,938 Discovery Miles 29 380 Save R310 (10%) Ships in 18 - 22 working days
Essential Concepts of Differential Equations: Volume I (Hardcover): Calanthia Wright Essential Concepts of Differential Equations: Volume I (Hardcover)
Calanthia Wright
R3,261 R2,951 Discovery Miles 29 510 Save R310 (10%) Ships in 18 - 22 working days
The Water-cure Journal, and Herald of Reforms, Devoted to Physiology, Hydropathy and the Laws of Life; 12, (1851) (Hardcover):... The Water-cure Journal, and Herald of Reforms, Devoted to Physiology, Hydropathy and the Laws of Life; 12, (1851) (Hardcover)
Anonymous
R771 Discovery Miles 7 710 Ships in 18 - 22 working days
The Water-cure Journal, and Herald of Reforms, Devoted to Physiology, Hydropathy and the Laws of Life; 17, (1854) (Hardcover):... The Water-cure Journal, and Herald of Reforms, Devoted to Physiology, Hydropathy and the Laws of Life; 17, (1854) (Hardcover)
Anonymous
R797 Discovery Miles 7 970 Ships in 18 - 22 working days
Handbook of Mathematical Fluid Dynamics (Hardcover, New): S Friedlander, D. Serre Handbook of Mathematical Fluid Dynamics (Hardcover, New)
S Friedlander, D. Serre
R5,593 Discovery Miles 55 930 Ships in 18 - 22 working days

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

Formal Analysis - An Introduction (Hardcover): Xiao-Xiong Gan Formal Analysis - An Introduction (Hardcover)
Xiao-Xiong Gan
R3,906 Discovery Miles 39 060 Ships in 10 - 15 working days

Formal analysis is the study of formal power series, formal Laurent series, formal root series, and other formal series or formal functionals. This book is the first comprehensive presentation of the topic that systematically introduces formal analysis, including its algebraic, analytic, and topological structure, along with various applications.

Introduction To Partial Differential Equations (With Maple), An: A Concise Course (Hardcover): Zhilin Li, Larry Norris Introduction To Partial Differential Equations (With Maple), An: A Concise Course (Hardcover)
Zhilin Li, Larry Norris
R1,944 Discovery Miles 19 440 Ships in 18 - 22 working days

The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations.The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions.The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area.

An Introduction To Abstract Harmonic Analysis (Hardcover): Lynn H. Loomis An Introduction To Abstract Harmonic Analysis (Hardcover)
Lynn H. Loomis
R827 Discovery Miles 8 270 Ships in 18 - 22 working days
A Treatise on Differential Equations (Hardcover): Andrew Russell Forsyth A Treatise on Differential Equations (Hardcover)
Andrew Russell Forsyth
R2,136 Discovery Miles 21 360 Ships in 18 - 22 working days
Advanced Calculus (Hardcover): David V. Widder Advanced Calculus (Hardcover)
David V. Widder
R966 R844 Discovery Miles 8 440 Save R122 (13%) Ships in 18 - 22 working days

Precise approach with definitions, theorems, proofs, examples and exercises. Topics include partial differentiation, vectors, differential geometry, Stieltjes integral, infinite series, gamma function, Fourier series, Laplace transform, much more. Numerous graded exercises with selected answers.

Unified Transform for Boundary Value Problems - Applications and Advances (Paperback): Anthanasios S. Fokas, Beatrice Pelloni Unified Transform for Boundary Value Problems - Applications and Advances (Paperback)
Anthanasios S. Fokas, Beatrice Pelloni
R2,743 R2,477 Discovery Miles 24 770 Save R266 (10%) Out of stock

This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs. The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.

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
R885 R811 Discovery Miles 8 110 Save R74 (8%) Ships in 18 - 22 working days
Operator Theory - Proceedings of the International Conference on Operator Theory, Hammamet, Tunisia, April 30 - May 3, 2018... Operator Theory - Proceedings of the International Conference on Operator Theory, Hammamet, Tunisia, April 30 - May 3, 2018 (Hardcover)
Aref Jeribi
R3,893 Discovery Miles 38 930 Ships in 10 - 15 working days

This proceedings volume collects select contributions presented at the International Conference in Operator Theory held at Hammamet, Tunisia, on April 30 May 3, 2018. Edited and refereed by well-known experts in the field, this wide-ranging collection of survey and research articles presents the state of the art in the field of operator theory, covering topics such as operator and spectral theory, fixed point theory, functional analysis etc.

Real Analysis - 3rd Edition (Hardcover): Alice Gorguis Real Analysis - 3rd Edition (Hardcover)
Alice Gorguis
R690 Discovery Miles 6 900 Ships in 10 - 15 working days
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