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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
R934 R834 Discovery Miles 8 340 Save R100 (11%) 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): Dennis Zill, Warren Wright Differential Equations with Boundary-Value Problems, International Edition (Paperback, 8th edition)
Dennis Zill, Warren Wright 1
R953 R849 Discovery Miles 8 490 Save R104 (11%) 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.

Introduction Finite Element Method (Paperback): Niels Ottosen, Glen Peters Introduction Finite Element Method (Paperback)
Niels Ottosen, Glen Peters
R1,694 Discovery Miles 16 940 Ships in 10 - 15 working days

Intended to be used as an introductory text for students in various fields of engineering, this book deals with the formulation of the finite element method for arbitrary differential equations. The weak formulation of differential equations is used in combination with the Galerkin method.

Differential Equations with Boundary Value Problems: Pearson New International Edition (Paperback, 2nd edition): John Polking,... Differential Equations with Boundary Value Problems: Pearson New International Edition (Paperback, 2nd edition)
John Polking, Al Boggess, David Arnold
R1,576 Discovery Miles 15 760 Ships in 10 - 15 working days

Combining traditional differential equation material with a modern qualitative and systems approach, this new edition continues to deliver flexibility of use and extensive problem sets. The second edition's refreshed presentation includes extensive new visuals, as well as updated exercises throughout.

Elementary Number Theory: Pearson New International Edition (Paperback, 6th edition): Kenneth Rosen Elementary Number Theory: Pearson New International Edition (Paperback, 6th edition)
Kenneth Rosen
R1,645 Discovery Miles 16 450 Ships in 10 - 15 working days

Elementary Number Theory, Sixth 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.

Elementary Differential Equations: Pearson New International Edition (Paperback, 8th edition): Earl Rainville, Phillip Bedient,... Elementary Differential Equations: Pearson New International Edition (Paperback, 8th edition)
Earl Rainville, Phillip Bedient, Richard Bedient
R1,606 Discovery Miles 16 060 Ships in 10 - 15 working days

Appropriate for introductory courses in Differential Equations. This clear, concise fairly easy classic text is particularly well-suited to courses that emphasize finding solutions to differential equations where applications play an important role. Many illustrative examples in each chapter help the student to understand the subject. Computer applications new to this edition.

Linear Algebra and Differential Equations: Pearson New International Edition (Paperback, Pearson New International Edition):... Linear Algebra and Differential Equations: Pearson New International Edition (Paperback, Pearson New International Edition)
Gary Peterson, James Sochacki
R1,571 Discovery Miles 15 710 Ships in 10 - 15 working days

Linear Algebra and Differential Equations has been written for a one-semester combined linear algebra and differential equations course, yet it contains enough material for a two-term sequence in linear algebra and differential equations. By introducing matrices, determinants, and vector spaces early in the course, the authors are able to fully develop the connections between linear algebra and differential equations. The book is flexible enough to be easily adapted to fit most syllabi, including separate courses that that cover linear algebra in the first followed by differential equations in the second. Technology is fully integrated where appropriate, and the text offers fresh and relevant applications to motivate student interest.

Fundamentals of Differential Equations and Boundary Value Problems: Pearson New International Edition (Paperback, 6th edition):... Fundamentals of Differential Equations and Boundary Value Problems: Pearson New International Edition (Paperback, 6th edition)
R. Nagle, Edward Saff, David Snider
R1,693 Discovery Miles 16 930 Ships in 10 - 15 working days

Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in syllabus design, course emphasis (theory, methodology, applications, and numerical methods), and in using commercially available computer software. Fundamentals of Differential Equations, Eighth Edition is suitable for a one-semester sophomore- or junior-level course. Fundamentals of Differential Equations with Boundary Value Problems, 'Sixth Edition, contains enough material for a two-semester course that covers and builds on boundary value problems. The Boundary Value Problems version consists of the main text plus three additional chapters (Eigenvalue Problems and Sturm-Liouville Equations; Stability of Autonomous Systems; and Existence and Uniqueness Theory)

Numerical Bifurcation Analysis of Maps - From Theory to Software (Hardcover): Yuri A. Kuznetsov, Hil G. E. Meijer Numerical Bifurcation Analysis of Maps - From Theory to Software (Hardcover)
Yuri A. Kuznetsov, Hil G. E. Meijer
R2,702 Discovery Miles 27 020 Ships in 10 - 15 working days

This book combines a comprehensive state-of-the-art analysis of bifurcations of discrete-time dynamical systems with concrete instruction on implementations (and example applications) in the free MATLAB (R) software MatContM developed by the authors. While self-contained and suitable for independent study, the book is also written with users in mind and is an invaluable reference for practitioners. Part I focuses on theory, providing a systematic presentation of bifurcations of fixed points and cycles of finite-dimensional maps, up to and including cases with two control parameters. Several complementary methods, including Lyapunov exponents, invariant manifolds and homoclinic structures, and parts of chaos theory, are presented. Part II introduces MatContM through step-by-step tutorials on how to use the general numerical methods described in Part I for simple dynamical models defined by one- and two-dimensional maps. Further examples in Part III show how MatContM can be used to analyze more complicated models from modern engineering, ecology, and economics.

Encyclopedia of Special Functions: The Askey-Bateman Project (Hardcover): Tom H. Koornwinder, Jasper V. Stokman Encyclopedia of Special Functions: The Askey-Bateman Project (Hardcover)
Tom H. Koornwinder, Jasper V. Stokman
R1,687 Discovery Miles 16 870 Ships in 7 - 11 working days

This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 2 covers multivariable special functions. When the Bateman project appeared, study of these was in an early stage, but revolutionary developments began to be made in the 1980s and have continued ever since. World-renowned experts survey these over the course of 12 chapters, each containing an extensive bibliography. The reader encounters different perspectives on a wide range of topics, from Dunkl theory, to Macdonald theory, to the various deep generalizations of classical hypergeometric functions to the several variables case, including the elliptic level. Particular attention is paid to the close relation of the subject with Lie theory, geometry, mathematical physics and combinatorics.

Differential Forms (Paperback, Dover ed): Henri Cartan Differential Forms (Paperback, Dover ed)
Henri Cartan
R327 R272 Discovery Miles 2 720 Save R55 (17%) Ships in 7 - 11 working days

Addressed to 2nd- and 3rd-year students, this work by a world-famous teacher skillfully spans the pure and applied branches, so that applied aspects gain in rigor while pure mathematics loses none of its dignity. Equally essential as a text, a reference, or simply as a brilliant mathematical exercise. 1971 edition.

A First Look at Perturbation Theory (Paperback, New edition): James G. Simmonds A First Look at Perturbation Theory (Paperback, New edition)
James G. Simmonds
R258 R214 Discovery Miles 2 140 Save R44 (17%) Ships in 7 - 11 working days

Emphasizing the "why" as well as the "how," this useful and well-written introductory text explains methods for obtaining approximate solutions to mathematical problems by exploiting the presence of small, dimensionless parameters. Geared toward undergraduates in engineering and the physical sciences. Preface. Bibliography. Appendixes.

An Introduction to Phase-Integral Methods (Paperback): John Heading An Introduction to Phase-Integral Methods (Paperback)
John Heading
R312 R256 Discovery Miles 2 560 Save R56 (18%) Ships in 7 - 11 working days

The phase-integral method in mathematics, also known as the Wentzel-Kramers-Brillouin (WKB) method, is the focus of this introductory treatment. Author John Heading successfully steers a course between simplistic and rigorous approaches to provide a concise overview for advanced undergraduates and graduate students in mathematics and physics.
Since the number of applications is vast, the text considers only a brief selection of topics and emphasizes the method itself rather than detailed applications. The process, once derived, is shown to be one of essential simplicity that involves merely the application of certain well-defined rules. Starting with a historical survey of the problem and its solutions, subjects include the Stokes phenomenon, one and two transition points, and applications to physical problems. An appendix and bibliography conclude the text.

Differential Equations (Paperback, Dover): F.G. Tricomi, Mathematics Differential Equations (Paperback, Dover)
F.G. Tricomi, Mathematics; Translated by Elizabeth A McHarg
R441 R368 Discovery Miles 3 680 Save R73 (17%) Ships in 7 - 11 working days

Based on his extensive experience as an educator, F. G. Tricomi wrote this practical and concise teaching text to offer a clear idea of the problems and methods of the theory of differential equations. The treatment is geared toward advanced undergraduates and graduate students and addresses only questions that can be resolved with rigor and simplicity.
Starting with a consideration of the existence and uniqueness theorem, the text advances to the behavior of the characteristics of a first-order equation, boundary problems for second-order linear equations, asymptotic methods, and differential equations in the complex field. The author discusses only ordinary differential equations, excluding coverage of the methods of integration and stressing the importance of reading the properties of the integrals directly from the equations. An extensive bibliography and helpful indexes conclude the text.

Ordinary Differential Equations and Their Solutions (Paperback): George Moseley Murphy Ordinary Differential Equations and Their Solutions (Paperback)
George Moseley Murphy
R578 R481 Discovery Miles 4 810 Save R97 (17%) Ships in 7 - 11 working days

This two-part treatment presents most of the methods for solving ordinary differential equations as well as systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that math students and professionals can readily locate standard equations. Plus, the substantial number and variety of equations assures users of finding either an exact equation or a sufficiently similar one.
Part I considers differential equations of the first order, with separate sections on those of the first degree and those of the second or higher degree, as well as linear and nonlinear differential equations of the second order and of an order greater than two. Part II presents tables of equations and solutions organized in precisely the same manner. The book concludes with an index of equation types, a bibliography, and a general index.

Dynamical Systems (Paperback): Shlomo Sternberg Dynamical Systems (Paperback)
Shlomo Sternberg
R369 R313 Discovery Miles 3 130 Save R56 (15%) Ships in 7 - 11 working days

Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises.
"Even though there are many dynamical systems books on the market, this book is bound to become a classic. The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank." -- Oliver Knill, PhD, Preceptor of Mathematics, Harvard University.

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
R952 R848 Discovery Miles 8 480 Save R104 (11%) 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.

An Introduction to Stability Theory (Paperback, Dover): Anand Pillay An Introduction to Stability Theory (Paperback, Dover)
Anand Pillay
R262 R218 Discovery Miles 2 180 Save R44 (17%) Ships in 7 - 11 working days

This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems, propositions, and problems, it is suitable for graduate students in logic and mathematics, professional mathematicians, and computer scientists. Chapter 1 introduces the notions of definable type, heir, and coheir. A discussion of stability and order follows, along with definitions of forking that follow the approach of Lascar and Poizat, plus a consideration of forking and the definability of types. Subsequent chapters examine superstability, dividing and ranks, the relation between types and sets of indiscernibles, and further properties of stable theories. The text concludes with proofs of the theorems of Morley and Baldwin-Lachlan and an extension of dimension theory that incorporates orthogonality of types in addition to regular types.

Numerical Solution of Nonlinear Boundary Value Problems with Applications (Paperback): Milan Kubicek, Vladimir Hlavacek Numerical Solution of Nonlinear Boundary Value Problems with Applications (Paperback)
Milan Kubicek, Vladimir Hlavacek
R463 R392 Discovery Miles 3 920 Save R71 (15%) Ships in 7 - 11 working days

A survey of the development, analysis, and application of numerical techniques in solving nonlinear boundary value problems, this text presents numerical analysis as a working tool for physicists and engineers. Topics include initial and boundary value problems for ordinary differential equations and the numerical realization of parametric studies. 1983 edition.

Singularly Perturbed Methods for Nonlinear Elliptic Problems (Hardcover): Daomin Cao, Shuangjie Peng, Shusen Yan Singularly Perturbed Methods for Nonlinear Elliptic Problems (Hardcover)
Daomin Cao, Shuangjie Peng, Shusen Yan
R1,448 Discovery Miles 14 480 Ships in 7 - 11 working days

This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then progresses to other related problems to help the reader learn more about the general theories developed from singularly perturbed methods. Designed for PhD students and junior mathematicians intending to do their research in the area of elliptic differential equations, the text covers three main topics. The first is the compactness of the minimization sequences, or the Palais-Smale sequences, or a sequence of approximate solutions; the second is the construction of peak or bubbling solutions by using the Lyapunov-Schmidt reduction method; and the third is the local uniqueness of these solutions.

Sparse Approximation with Bases (Paperback): Vladimir Temlyakov Sparse Approximation with Bases (Paperback)
Vladimir Temlyakov; Edited by Sergey Tikhonov
R961 R700 Discovery Miles 7 000 Save R261 (27%) Ships in 10 - 15 working days

This book systematically presents recent fundamental results on greedy approximation with respect to bases. Motivated by numerous applications, the last decade has seen great successes in studying nonlinear sparse approximation. Recent findings have established that greedy-type algorithms are suitable methods of nonlinear approximation in both sparse approximation with respect to bases and sparse approximation with respect to redundant systems. These insights, combined with some previous fundamental results, form the basis for constructing the theory of greedy approximation. Taking into account the theoretical and practical demand for this kind of theory, the book systematically elaborates a theoretical framework for greedy approximation and its applications. The book addresses the needs of researchers working in numerical mathematics, harmonic analysis, and functional analysis. It quickly takes the reader from classical results to the latest frontier, but is written at the level of a graduate course and does not require a broad background in the field.

Synchronization - From Coupled Systems to Complex Networks (Hardcover): Stefano Boccaletti, Alexander N. Pisarchik, Charo I Del... Synchronization - From Coupled Systems to Complex Networks (Hardcover)
Stefano Boccaletti, Alexander N. Pisarchik, Charo I Del Genio, Andreas Amann
R1,629 R1,411 Discovery Miles 14 110 Save R218 (13%) Ships in 10 - 15 working days

A modern introduction to synchronization phenomena, this text presents recent discoveries and the current state of research in the field, from low-dimensional systems to complex networks. The book describes some of the main mechanisms of collective behaviour in dynamical systems, including simple coupled systems, chaotic systems, and systems of infinite-dimension. After introducing the reader to the basic concepts of nonlinear dynamics, the book explores the main synchronized states of coupled systems and describes the influence of noise and the occurrence of synchronous motion in multistable and spatially-extended systems. Finally, the authors discuss the underlying principles of collective dynamics on complex networks, providing an understanding of how networked systems are able to function as a whole in order to process information, perform coordinated tasks, and respond collectively to external perturbations. The demonstrations, numerous illustrations and application examples will help advanced graduate students and researchers gain an organic and complete understanding of the subject.

Generalized Functions And Partial Differential Equations (Paperback): Avner Friedman Generalized Functions And Partial Differential Equations (Paperback)
Avner Friedman
R443 R371 Discovery Miles 3 710 Save R72 (16%) Ships in 7 - 11 working days

This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies them to solving a variety of problems in partial differential equations. A major portion of the text is based on material included in the books of L. Schwartz, who developed the theory of distributions, and in the books of Gelfand and Shilov, who deal with generalized functions of any class and their use in solving the Cauchy problem. In addition, the author provides applications developed through his own research. Geared toward upper-level undergraduates and graduate students, the text assumes a sound knowledge of both real and complex variables. Familiarity with the basic theory of functional analysis, especially normed spaces, is helpful but not necessary. An introductory chapter features helpful background on topological spaces. Applications to partial differential equations include a treatment of the Cauchy problem, the Goursat problem, fundamental solutions, existence and differentiality of solutions of equations with constants, coefficients, and related topics. Supplementary materials include end-of-chapter problems, bibliographical remarks, and a bibliography.

An Introduction to Differential Equations and Their Applications (Paperback): Stanley J Farlow An Introduction to Differential Equations and Their Applications (Paperback)
Stanley J Farlow
R1,100 R890 Discovery Miles 8 900 Save R210 (19%) Ships in 7 - 11 working days

This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

Applied Partial Differential Equations with Fourier Series and Boundary Value Problems: Pearson New International Edition... Applied Partial Differential Equations with Fourier Series and Boundary Value Problems: Pearson New International Edition (Paperback, 5th edition)
Richard Haberman
R1,648 Discovery Miles 16 480 Ships in 10 - 15 working days

This text emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for students in science, engineering, and applied mathematics.

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