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Differential Equations For Dummies
by Steven Holzner
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.
Differential Equations Workbook For Dummies
by Steven Holzner
- Make sense of these difficult equations
- Improve your problem-solving skills
- Practice with clear, concise examples
- Score higher on standardized tests and exams
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!
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
THE DUMMIES WORKBOOK WAY
Quick, refresher explanations
Hands-on practice exercises
Ample workspace to work out problems
Online Cheat Sheet
A dash of humor and fun
by H. S. Bear
Beginning with a survey of first order equations, the text goes on to consider linear equations — including discussions of complex-valued solutions, linear differential operators, inverse operators, and variation of parameters method. Subsequent chapters then examine the Laplace transform and Picard’s existence theorem and conclude with an exploration of various interpretations of systems of equations.
Numerous clearly stated theorems and proofs, examples, and problems followed by solutions make this a first-rate introduction to differential equations.
Calculus II For Dummies®
by Mark Zegarelli
Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.
Differential Equations and Dynamical Systems
by Lawrence Perko
Partial Differential Equations of Mathematical Physics
by S. L. Sobolev
Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics. This book covers a variety of topics, including waves, heat conduction, hydrodynamics, and other physical problems.
Comprised of 30 lectures, this book begins with an overview of the theory of the equations of mathematical physics that has its object the study of the integral, differential, and functional equations describing various natural phenomena. This text then examines the linear equations of the second order with real coefficients. Other lectures consider the Lebesgue–Fubini theorem on the possibility of changing the order of integration in a multiple integral. This book discusses as well the Dirichlet problem and the Neumann problem for domains other than a sphere or half-space. The final lecture deals with the properties of spherical functions.
This book is a valuable resource for mathematicians.
Linear Algebra For Dummies
by Mary Jane Sterling
- Solve linear algebra equations in several ways
- Put data in order with matrices
- Determine values with determinants
- Work with eigenvalues and eigenvectors
Your hands-on guide to real-world applications of linear algebra
Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you’ll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction.
- Line up the basics — discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices
- Relate vectors and linear transformations — link vectors and matrices with linear combinations and seek solutions of homogeneous systems
- Evaluate determinants — see how to perform the determinant function on different sizes of matrices and take advantage of Cramer’s rule
- Hone your skills with vector spaces — determine the properties of vector spaces and their subspaces and see linear transformation in action
- Tackle eigenvalues and eigenvectors — define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices
Open the book and find:
- Theoretical and practical ways of solving linear algebra problems
- Definitions of terms throughout and in the glossary
- New ways of looking at operations
- How linear algebra ties together vectors, matrices, determinants, and linear transformations
- Ten common mathematical representations of Greek letters
- Real-world applications of matrices and determinants
MATLAB For Dummies
by Jim Sizemore, John Paul Mueller
If you work in a STEM field, chances are you’ll be using MATLAB on a daily basis. MATLAB is a popular and powerful computational tool and this book provides everything you need to start manipulating and plotting your data. MATLAB has rapidly become the premier data tool, and MATLAB For Dummies is a comprehensive guide to the fundamentals. MATLAB For Dummies guides you through this complex computational language from installation to visualization to automation.
- Learn MATLAB’s language fundamentals including syntax, operators, and data types
- Understand how to use the most important window in MATLAB – the Command Window
- Get the basics of linear algebra to get up and running with vectors, matrices, and hyperspace
- Automate your work with programming scripts and functions
- Plot graphs in 2D and 3D to visualize your data
- Includes a handy guide for MATLAB’s functions and plotting routines
MATLAB is an essential part of the analysis arsenal and MATLAB For Dummies provides clear, thorough guidance to get the most out of your data.
Circuit Analysis For Dummies
by John Santiago
Many universities require that students pursuing a degree in electrical or computer engineering take an Electric Circuit Analysis course to determine who will “make the cut” and continue in the degree program. Circuit Analysis For Dummies will help these students to better understand electric circuit analysis by presenting the information in an effective and straightforward manner.
Circuit Analysis For Dummies gives you clear-cut information about the topics covered in an electric circuit analysis courses to help further your understanding of the subject. By covering topics such as resistive circuits, Kirchhoff’s laws, equivalent sub-circuits, and energy storage, this book distinguishes itself as the perfect aid for any student taking a circuit analysis course.
- Tracks to a typical electric circuit analysis course
- Serves as an excellent supplement to your circuit analysis text
- Helps you score high on exam day
Whether you’re pursuing a degree in electrical or computer engineering or are simply interested in circuit analysis, you can enhance you knowledge of the subject with Circuit Analysis For Dummies.
TI-89 Graphing Calculator For Dummies
by C. C. Edwards
TI-89 For Dummies is the plain-English nuts-and-bolts guide that gets you up and running on all the things your TI-89 can do, quickly and easily. This hands-on reference guides you step by step through various tasks and even shows you how to add applications to your calculator. Soon you’ll have the tools you need to:
- Solve equations and systems of equations
- Factor polynomials
- Evaluate derivatives and integrals
- Graph functions, parametric equations, polar equations, and sequences
- Create Stat Plots and analyze statistical data
- Multiply matrices
- Solve differential equations and systems of differential equations
- Transfer files between two or more calculators
- Save calculator files on your computer
Packed with exciting and valuable applications that you can download from the Internet and install through your computer, as well as common errors and messages with explanations and solutions, TI-89 For Dummies is the one-stop reference for all your graphing calculator questions!