Tdcb - Differentialkalkyl och differentialekvationer

Ledmotivet i denna bok är partiella differentialekvationer. Framställningen fokuserar på de grundläggande ekvationer som uppträder inom klassisk fysik och teknik, dvs Laplaces ekvation, värmeledningsekvationen och v…

This traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences. Written by two of the world's leading authorities on differential eq…

Focusing on growth and decay processes, interacting populations, and heating/cooling problems, "Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple and MATLAB[registered], Second Edition" presents mathematical tec…

Detta övningsmaterial är avsett att användas tillsammans med läroboken Kontinuerliga system, Studentlitteratur, av samma författare. Övningsboken följer lärobokens uppläggning och behandlar lösningsm…

This book has been thoroughly revised and updated to reflect developments since the third edition, with an emphasis on structural mechanics. Coverage is up-to-date without making the treatment highly specialized and mathematically difficult. Basic t…

George Simmons klassiska lärobok om differentialekvationer har nu kommit ut på svenska i en moderniserad upplaga. Boken är en övertygande och lättillgänglig introduktion till differentialekvationer. Den tar även upp avancerade ämnen såsom Laplacetra…

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs an…

This refreshing, introductory textbook covers both standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigoro…

Hirsch, Devaney, and Smale's classic "Differential Equations, Dynamical Systems, and an Introduction to Chaos" has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides…

This book deals with systems of polynomial autonomous ordinary differential equations in two real variables. The emphasis is mainly qualitative, although attention is also given to more algebraic aspects as a thorough study of the center/focus probl…

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different typ…

Textbook introduces the vocabulary and some highlights of elementary group theory. Emphasis is placed on concrete examples so that finite rotation groups and the 17 wallpaper groups are treated in detail alongside theoretical results. Over 300 exerc…

Several distinctive aspects make Dynamical Systems unique, including: treating the subject from a mathematical perspective with the proofs of most of the results included providing a careful review of background materials introducing ideas through e…

This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and…

This is a continuation of the subject matter discussed in the first book, with an emphasis on systems of ordinary differential equations and will be most appropriate for upper level undergraduate and graduate students in the fields of mathematics, e…

This is a corrected third printing of the first part of the text Differential Equations: A Dynamical Systems Approach written by John Hubbard and Beverly West. The authors' main emphasis in this book is on ordinary differential equations. The book i…

Provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students.

A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developin…

Time dependent problems frequently pose challenges in areas of science and engineering dealing with numerical analysis, scientific computation, mathematical models, and most importantly—numerical experiments intended to analyze physical behavio…

"Written in an admirably cleancut and economical style." -- "Mathematical Review." A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background…

This book presents a unified approach to computational mathematical modelling based on differential equations combining aspects of mathematics, computation and application. The backbone of the book is a general methodology for the numerical solution…

This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study syn…

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social science…

Maximum Principles are central to the theory and applications of second-order partial differential equations and systems. This self-contained text establishes the fundamental principles and provides a variety of applications.

Tips, tricks and lots of practice to help students get a handle on these complex calculus problems Pre-calculus classes prepare students for studies in calculus and other advanced Differential equations are essential in physics, economics, engineeri…

The fun and easy way to understand and solve complex equations Many of the fundamental laws of physics, chemistry, biology, and economics can be formulated as differential equations. This plain-English guide explores the many applications of this ma…

Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for g…

Surgical Anatomy and Technique: A Pocket Manual, consistently places in the top 10 bestsellers for Springer. The third edition will ensure its continued place on the list. The authors know exactly what makes this book popular: expansive scope; conci…

This book deals with methods for solving nonstiff ordinary differential equations. The first chapter describes the historical development of the classical theory, and the second chapter includes a modern treatment of Runge-Kutta and extrapolation me…

The 4th edition of this text distinguishes itself from other differential equation texts by incorporating recent developments and offering applications to fascinating events such as the Tacoma Narrows Bridge disaster, why the catch of predator fish…

This book gives a treatment of exterior differential systems including both the general theory and various applications. Topics include: a review of exterior algebra, simple exterior differential systems, the generation of integral manifolds through…

This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number f…

For a one-year, graduate-level course in Partial Differential Equations.Designed to bridge the gap between introductory texts in partial differential equations and the current literature in research journals, this text introduces students to the bas…

This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization…

This book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory and explains how to use these methods to obtain approximate analytical solutions to differential and difference equations. These…

Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran Northwestern University, Evanston, Illinois This book provides a comprehensive description of the major methodologies of nonlinear finite element analysi…

New design architectures in computer systems have surpassed industry expectations. Limits, which were once thought of as fundamental, have now been broken. Digital Systems and Applications details these innovations in systems design as well as cutti…

When a dynamical system has a large number of parameters it is not possible to get a completely comprehensive picture of all the types of behavior that it may display and one must be content with surveying the system along various corridors of lower…

This substantial revision of the text Numerical Solution of Partial Differential Equations by the Finite Element Method by C. Johnson is a two volume introduction to the computational solution of differential equations using a unified approach organ…

The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines…

Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from…

A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classic…

A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classic…

This book starts with an overview of the research of Grobner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invar…

Ordinary differential equations (ODEs), differential-algebraic equations (DAEs) and partial differential equations (PDEs) are among the forms of mathematics most widely used in science and engineering. Each of these equation types is a focal point f…