Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences

Although the rigors of modern science increasingly require of its practitioners greater and greater mathematical sophistication, today's students are often ill-prepared to meet the challenge. Mathematical Techniques aims to rectify that situation. Aimed at beginning students in the engineering, mathematical, and physical sciences, the book offers a course in essential mathematical methods--such as analytic geometry, vector algebra, complex numbers, matrix operations, differential equations, double integrals, Laplace transforms, and Fourier series, among many others. Throughout, the book omits mathematical pedantry and obscure proofs, and presents summary material clearly. A large number of exercises and worked examples are included. Students taking the road down to careers in engineering, chemistry, mathematics, and physics will welcome this friendly introduction to important mathematical techniques.

Science & Math

Smith, P.

JORDAN, D.W.

Mathematics

Oxford University Press

Aimed at a new generation of mathematically less well-prepared students, this text teaches by example, omits mathematical pedantry and obscure proofs, and presents summary material clearly.

Undergraduate students of engineering, science, and mathematics must quickly master a variety of mathematical methods, although many of these students do not have strong mathematics backgrounds. In this well-received book, now in its second edition, the authors use their extensive experience with diverse groups of students to provide an accessible introduction to mathematical techniques. They start at the elementary level and proceed to cover the full range of topics typically encountered by beginning students: · Analytic geometry, vector algebra, vector fields (div and curl), differentiation, and integration. · Complex numbers, matrix operations, and linear systems of equations. · Differential equations and first-order linear systems, functions of more than one variable, double integrals, and line integrals. · Laplace transforms, Fourier series and Fourier transforms. · Probability and statistics. Incorporating many suggestions from readers, this new edition has expanded discussions of vectors and new chapters on Fourier series and on probability and statistics. The emphasis throughout is on understanding concepts through well-chosen examples, and the book includes over 500 fully worked problems. As far as is possible chapter topics are self-contained so that a student only needing to master certain techniques can omit others without trouble. The generously illustrated text also includes simple numerical processes which lead to examples and projects for computation (particularly with Mathematica), and contains a large number of exercises (with answers) to reinforce the material. These features combine to make this book an ideal starting point for students entering the sciences.

Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems (Oxford Texts in Applied and Engineering Mathematics)

Nonlinear Ordinary Differential Equations was first published in 1977 and has since become a standard text in the teaching of the subject. It takes a qualitative approach, and is designed for advanced undergraduate and graduate students of dynamical systems in mathematics or mathematics-related subjects. The text of this third edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos. The book is directed towards practical applications of the theory, with several hundred examples and problems covering a wide variety of applications. Prerequisites are kept to a minimum, with appendices containing the necessary mathematical theory new to this edition.

SMITH, PETER

Nonlinear ordinary differential equations was first published in 1977 and has since become a standard text in the teaching of the subject. It takes a qualitative approach, and is designed for advanced undergraduate and graduate students of dynamical systems in mathematics or mathematics-related subjects. The text of this third edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos. The book is directed towards practical applications of the theory, with several hundred examples and problems covering a wide variety of applications. Prerequisites are kept to a minimum, with appendices containing the necessary mathematical theory new to this edition. From reviews of the first edition: "The book can profitably be used in a senior undergraduate course. It is well written, well motivated and contains some recent developments of interest which have not been readily accessible before at this level." V. Lakshmikantham in Mathematical Reviews From reviews of the second edition: "The subject has wide applications in physical, biological, and social sciences which continuously supply new problems of practical and theoretical importance. The book does a good job in motivating the reader in such pursuits, and presents the subject in a simple but elegant style."--P. K. Kythe in Applied Mechanics Reviews

Nonlinear Ordinary Differential Equations

Nonlinear ordinary differential equations (Oxford applied mathematics and computing science series)

Clarendon Press

Nonlinear Ordinary Differential Equations (Oxford Applied Mathematics and Computing Science Series)

This new edition has been expanded to include areas of current importance such as bifurcation, structural stability and chaotic behavior. Other topics covered are linearization, perturbation theory, subharmonics, stability, the existence of limit cycles, and Poincaré maps. The text is concerned with practical applications and includes over 400 examples and exercises.

This new edition has been expanded to contain an introduction to areas of current importance such as bifurcation, structural stability and chaotic behavior. Other topics include linearization, perturbation theory, subharmonics, stability, the existence of limit cycles, and Poincaré maps. The text is concerned with practical applications and includes over 400 examples and exercises.

An ideal companion to the new 4th Edition of Nonlinear Ordinary Differential Equations by Jordan and Smith (OUP, 2007) this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in Nonlinear Ordinary Differential Equations 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications while keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.

Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics)

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Books by JORDAN, D.W.

See the best price to sell, buy, or rent books by JORDAN, D.W.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences

Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences

Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences

Mathematical Techniques: An Introduction for the Engineering, Physical, and Mathematical Sciences

Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems (Oxford Texts in Applied and Engineering Mathematics)

Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems (Oxford Texts in Applied and Engineering Mathematics)

Nonlinear ordinary differential equations (Oxford applied mathematics and computing science series)

Nonlinear Ordinary Differential Equations (Oxford Applied Mathematics and Computing Science Series)

Nonlinear Ordinary Differential Equations (Oxford Applied Mathematics and Computing Science Series)

Nonlinear Ordinary Differential Equations: Problems and Solutions: A Sourcebook for Scientists and Engineers (Oxford Texts in Applied and Engineering Mathematics)