A Workbook for Differential Equations

Author: Bernd S. W. Schröder

Publisher: John Wiley & Sons

ISBN: 0470447516

Category: Mathematics

Page: 340

View: 2975

An accessible and hands-on approach to modeling and predicting real-world phenomena using differential equations A Workbook for Differential Equations presents an interactive introduction to fundamental solution methods for ordinary differential equations. The author emphasizes the importance of manually working through computations and models, rather than simply reading or memorizing formulas. Utilizing real-world applications from spring-mass systems and circuits to vibrating strings and an overview of the hydrogen atom, the book connects modern research with the presented topics, including first order equations, constant coefficient equations, Laplace transforms, partial differential equations, series solutions, systems, and numerical methods. The result is a unique guide to understanding the significance of differential equations in mathematics, science, and engineering. The workbook contains modules that involve readers in as many ways as possible, and each module begins with "Prerequisites" and "Learning Objectives" sections that outline both the skills needed to understand the presented material and what new skills will be obtained by the conclusion of the module. Detailed applications are intertwined in the discussion, motivating the investigation of new classes of differential equations and their accompanying techniques. Introductory modeling sections discuss applications and why certain known solution techniques may not be enough to successfully analyze certain situations. Almost every module concludes with a section that contains various projects, ranging from programming tasks to theoretical investigations. The book is specifically designed to promote the development of effective mathematical reading habits such as double-checking results and filling in omitted steps in a computation. Rather than provide lengthy explanations of what readers should do, good habits are demonstrated in short sections, and a wide range of exercises provide the opportunity to test reader comprehension of the concepts and techniques. Rich illustrations, highlighted notes, and boxed comments offer illuminating explanations of the computations. The material is not specific to any one particular software package, and as a result, necessary algorithms can be implemented in various programs, including Mathematica®, Maple, and Mathcad®. The book's related Web site features supplemental slides as well as videos that discuss additional topics such as homogeneous first order equations, the general solution of separable differential equations, and the derivation of the differential equations for a multi-loop circuit. In addition, twenty activities are included at the back of the book, allowing for further practice of discussed topics whether in the classroom or for self-study. With its numerous pedagogical features that consistently engage readers, A Workbook for Differential Equations is an excellent book for introductory courses in differential equations and applied mathematics at the undergraduate level. It is also a suitable reference for professionals in all areas of science, physics, and engineering.

Differentialgleichungen für Dummies

Author: Steven Holzner

Publisher: John Wiley & Sons

ISBN: 3527658041

Category: Mathematics

Page: 327

View: 4591

Als die Gute Fee H?nschen fragte: "was w?nschst Du dir?", antwortete er: "Keine Differentialgleichungen mehr in der Schule": Hans im Gl?ck! Jetzt k?nnen Sie auch auf eine Gute Fee warten, oder sich dieses Buch kaufen. Sie finden hier Hilfe sollten Sie mit linearen und nichtlinearen gew?hnlichen Differentialgleichungen ihre liebe M?he haben, seien sie nun erster, zweiter oder h?herer Ordnung. Sie lernen auch, was Sie zu Laplace Transformation, Potenzreihen und vielen anderen vertrackten Problemen wissen sollten. Sehen Sie der Realit?t ins Auge, mit diesem Buch.

Differential Equations Workbook For Dummies

Author: Steven Holzner

Publisher: John Wiley & Sons

ISBN: 0470472014

Category: Mathematics

Page: 312

View: 1500

Making Everything Easier! Differential Equations Workbook for Dummies Make sense of these difficult equations Improve your problem-solving skills Practice with clear, concise examples Score higher on standardized tests and exams Steven Holzner, PhD Author, Differential Equations For Dummies Get the confidence and the skills you need to master differential equations! Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every equation. You'll also memorize the most-common types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more! The Dummies Workbook Way Quick refresher explanations Step-by-step procedures Hands-on practice exercises Ample workspace to work out problems Tear-out Cheat Sheet A dash of humor and fun Go to Dummies.com®for videos, step-by-step photos, how-to articles, or to shop the store! More than 100 problems! Detailed, fully worked-out solutions to problems The inside scoop on first, second, and higher order differential equations A wealth of advanced techniques, including power series

Differential Equations For Dummies

Author: Steven Holzner

Publisher: John Wiley & Sons

ISBN: 0470395664

Category: Mathematics

Page: 360

View: 9300

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 mathematical tool and shows how differential equations can help us understand the world around us. Differential Equations For Dummies is the perfect companion for a college differential equations course and is an ideal supplemental resource for other calculus classes as well as science and engineering courses. It offers step-by-step techniques, practical tips, numerous exercises, and clear, concise examples to help readers improve their differential equation-solving skills and boost their test scores.

Analysis II für Dummies

Author: Zegarelli

Publisher: John Wiley & Sons

ISBN: 3527657983

Category: Mathematics

Page: 358

View: 5241

Nach der Analysis ist vor der Analysis. Dies ist das richtige Buch für Sie, wenn es in der Analysis ein wenig mehr sein soll oder auch muss. Mark Zegarelli erklärt Ihnen, was Sie zur infiniten Integration und zu differential- und multivariablen Gleichungen wissen müssen. Er fährt mit Taylorreihe und Substitutionen fort und führt Sie auch in die Dritte Dimension der Analysis; und das ist lange noch nicht alles! Im Ton verbindlich, in der Sache kompetent führt er Ihre Analysiskenntnisse auf eine neue Stufe.

A Workbook for a Course in General Psychology

Author: Jose Fadul

Publisher: Lulu.com

ISBN: 1430320575

Category:

Page: 140

View: 6604

Contains a variety of ninety-nine mostly activity-based worksheets: with puzzles, comic strips, time line construction, pre- and post film-viewing tasks, poetry, mini survey, sketching, computations, games, etc. The book may even be used as a reference by students and teachers alike. A learning preference inventory to be accomplished by the students at the start of the course is provided to help the teacher know his or her students better. The author has degrees in Educational Psychology from the University of the Philippines and is currently teaching social science courses at the School of Multidisciplinary Studies, De La Salle-College of Saint Benilde. He is a member of the International Society of the Learning Sciences, and has published several articles in the International Journal of Learning.

Lineare Algebra

Author: Gilbert Strang

Publisher: Springer-Verlag

ISBN: 3642556310

Category: Mathematics

Page: 656

View: 2188

Diese Einführung in die lineare Algebra bietet einen sehr anschaulichen Zugang zum Thema. Die englische Originalausgabe wurde rasch zum Standardwerk in den Anfängerkursen des Massachusetts Institute of Technology sowie in vielen anderen nordamerikanischen Universitäten. Auch hierzulande ist dieses Buch als Grundstudiumsvorlesung für alle Studenten hervorragend lesbar. Darüber hinaus gibt es neue Impulse in der Mathematikausbildung und folgt dem Trend hin zu Anwendungen und Interdisziplinarität. Inhaltlich umfasst das Werk die Grundkenntnisse und die wichtigsten Anwendungen der linearen Algebra und eignet sich hervorragend für Studierende der Ingenieurwissenschaften, Naturwissenschaften, Mathematik und Informatik, die einen modernen Zugang zum Einsatz der linearen Algebra suchen. Ganz klar liegt hierbei der Schwerpunkt auf den Anwendungen, ohne dabei die mathematische Strenge zu vernachlässigen. Im Buch wird die jeweils zugrundeliegende Theorie mit zahlreichen Beispielen aus der Elektrotechnik, der Informatik, der Physik, Biologie und den Wirtschaftswissenschaften direkt verknüpft. Zahlreiche Aufgaben mit Lösungen runden das Werk ab.

Quantenphysik für Dummies

Author: Steven Holzner

Publisher: John Wiley & Sons

ISBN: 3527668004

Category: Science

Page: 316

View: 8744

Von den Grundlagen bis zur Streutheorie – das Wichtigste zur Quantenmechanik Die Quantenphysik ist ein zentrales und spannendes, wenn auch von vielen Schülern und Studenten ungeliebtes Thema der Physik. Aber keine Sorge! Steven Holzner erklärt Ihnen verständlich und lebendig, was Sie über Quantenphysik wissen müssen. Er erläutert die Grundlagen von Drehimpuls und Spin, gibt Ihnen Tipps, wie Sie komplexe Gleichungen lösen und nimmt den klassischen Problemen der Quantenphysik den Schrecken. Dabei arbeitet er mit Beispielen, die er ausführlich erklärt und gibt Ihnen so zusätzliche Sicherheit auf einem vor Unschärfen wimmelnden Feld.

Grundlagen der Mathematik für Dummies

Author: Zegarelli

Publisher: John Wiley & Sons

ISBN: 352769935X

Category: Mathematics

Page: 357

View: 9710

Mathematik ist nicht jedermanns Sache und oft sind es gerade die Grundlagen, die fehlen: Wie berechnet man nochmal den Umfang eines Kreises? Wieviel Geld spare ich bei 30 % Rabatt? Und wie geht man Textaufgaben eigentlich richtig an? Fragen über Fragen - die Antworten finden Sie in diesem Buch. Egal ob Bruch- oder Prozentrechnung, Geometrie, Algebra, Wahrscheinlichkeitsrechnung oder Statistik, Mark Zegarelli erklärt es Ihnen einfach, mit Humor und immer schnell auf den Punkt. Frischen Sie Ihr Wissen auf, lernen Sie die Grundlagen der Mathematik und werden Sie ruckzuck zum Mathe-Ass.

Analysis and Algebra on Differentiable Manifolds

A Workbook for Students and Teachers

Author: Pedro M. Gadea,Jaime Muñoz Masqué,Ihor V. Mykytyuk

Publisher: Springer Science & Business Media

ISBN: 9400759525

Category: Mathematics

Page: 618

View: 7551

This is the second edition of this best selling problem book for students, now containing over 400 completely solved exercises on differentiable manifolds, Lie theory, fibre bundles and Riemannian manifolds. The exercises go from elementary computations to rather sophisticated tools. Many of the definitions and theorems used throughout are explained in the first section of each chapter where they appear. A 56-page collection of formulae is included which can be useful as an aide-mémoire, even for teachers and researchers on those topics. In this 2nd edition: • 76 new problems • a section devoted to a generalization of Gauss’ Lemma • a short novel section dealing with some properties of the energy of Hopf vector fields • an expanded collection of formulae and tables • an extended bibliography Audience This book will be useful to advanced undergraduate and graduate students of mathematics, theoretical physics and some branches of engineering with a rudimentary knowledge of linear and multilinear algebra.

Elementary differential equations and boundary value problems

Author: William E. Boyce,Richard C. DiPrima

Publisher: John Wiley & Sons Inc

ISBN: 9780471089551

Category: Mathematics

Page: 749

View: 3306

This book covers all the essential topics on differential equations, including series solutions, Laplace transforms, systems of equations, numerical methods and phase plane methods. Clear explanations are detailed with many current examples.

Calculus II Workbook

Author: Nakia Rimmer

Publisher: Lulu.com

ISBN: 1732415900

Category:

Page: N.A

View: 335

100 Exam Problems With Full Solutions Covering Integration Applications, Integration Techniques, Introduction to Differential Equations, Sequences and Series.

A Guided Tour of Differential Equations

Using Computer Technology

Author: Alexandra Skidmore,Margie Hale

Publisher: N.A

ISBN: N.A

Category: Differential equations

Page: 200

View: 9310

This ODE workbook develops more than 50 projects that require a CAS. Some are designed to get the student into the right mode of thinking for that topic, be it solutions, integrating factors, linear operations, and so forth. The syntax for using Maple, Mathematica and Derive are provided.

Analysis and Numerics of Partial Differential Equations

Author: Franco Brezzi,Piero Colli Franzone,Ugo Pietro Gianazza,Gianni Gilardi

Publisher: Springer Science & Business Media

ISBN: 8847025923

Category: Mathematics

Page: 366

View: 8858

This volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes. The first part gives a wide historical perspective of Magenes' work in his 50-year mathematical career; the second part contains original research papers, and shows how ideas, methods, and techniques introduced by Magenes and his collaborators still have an impact on the current research in Mathematics.