# calculus ordinary differential equations modular mathematics series

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## Calculus And Ordinary Differential Equations

**Author :**David Pearson

**ISBN :**9780080928654

**Genre :**Mathematics

**File Size :**54. 93 MB

**Format :**PDF, ePub

**Download :**239

**Read :**929

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

## Ordinary Differential Equations

**Author :**W. Cox

**ISBN :**9780340632031

**Genre :**Computers

**File Size :**87. 84 MB

**Format :**PDF, ePub, Mobi

**Download :**192

**Read :**561

Building on introductory calculus courses, this text provides a sound foundation in the underlying principles of ordinary differential equations. Important concepts, including uniqueness and existence theorems, are worked through in detail and the student is encouraged to develop much of the routine material themselves, thus helping to ensure a solid understanding of the fundamentals required. The wide use of exercises, problems and self-assessment questions helps to promote a deeper understanding of the material and it is developed in such a way that it lays the groundwork for further study of partial differential equations.

## Ordinary Differential Equations

**Author :**William A. Adkins

**ISBN :**9781461436188

**Genre :**Mathematics

**File Size :**90. 10 MB

**Format :**PDF, ePub

**Download :**467

**Read :**936

Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited. For example, the standard solution methods for constant coefficient linear differential equations are immediate and simplified, and solution methods for constant coefficient systems are streamlined. By introducing the Laplace transform early in the text, students become proficient in its use while at the same time learning the standard topics in differential equations. The text also includes proofs of several important theorems that are not usually given in introductory texts. These include a proof of the injectivity of the Laplace transform and a proof of the existence and uniqueness theorem for linear constant coefficient differential equations. Along with its unique traits, this text contains all the topics needed for a standard three- or four-hour, sophomore-level differential equations course for students majoring in science or engineering. These topics include: first order differential equations, general linear differential equations with constant coefficients, second order linear differential equations with variable coefficients, power series methods, and linear systems of differential equations. It is assumed that the reader has had the equivalent of a one-year course in college calculus.

## Vector Calculus

**Author :**William Cox

**ISBN :**9780080572956

**Genre :**Mathematics

**File Size :**90. 48 MB

**Format :**PDF, Kindle

**Download :**579

**Read :**561

Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

## Vector Calculus

**Author :**Bill Cox

**ISBN :**9780340677414

**Genre :**Computers

**File Size :**85. 93 MB

**Format :**PDF, ePub

**Download :**633

**Read :**695

Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differential equations will find it a useful introduction and basic reference.

## Discrete Mathematics

**Author :**Amanda Chetwynd

**ISBN :**9780080928609

**Genre :**Mathematics

**File Size :**85. 13 MB

**Format :**PDF, ePub

**Download :**617

**Read :**652

As an introduction to discrete mathematics, this text provides a straightforward overview of the range of mathematical techniques available to students. Assuming very little prior knowledge, and with the minimum of technical complication, it gives an account of the foundations of modern mathematics: logic; sets; relations and functions. It then develops these ideas in the context of three particular topics: combinatorics (the mathematics of counting); probability (the mathematics of chance) and graph theory (the mathematics of connections in networks). Worked examples and graded exercises are used throughout to develop ideas and concepts. The format of this book is such that it can be easily used as the basis for a complete modular course in discrete mathematics.

## Calculus And Odes

**Author :**D. B. Pearson

**ISBN :**9780340625309

**Genre :**Mathematics

**File Size :**37. 92 MB

**Format :**PDF, Docs

**Download :**534

**Read :**1040

Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students.

## Particle Mechanics

**Author :**Chris Collinson

**ISBN :**9780080928593

**Genre :**Technology & Engineering

**File Size :**75. 47 MB

**Format :**PDF, ePub, Mobi

**Download :**561

**Read :**672

* Assumes no prior knowledge * Adopts a modelling approach * Numerous tutorial problems, worked examples and exercises included * Elementary topics augmented by planetary motion and rotating frames This text provides an invaluable introduction to mechanicsm confining attention to the motion of a particle. It begins with a full discussion of the foundations of the subject within the context of mathematical modelling before covering more advanced topics including the theory of planetary orbits and the use of rotating frames of reference. Truly introductory , the style adoped is perfect for those unfamiliar with the subject and , as emphasis is placed on understanding, readers who have already studied maechanics will also find a new insight into a fundamental topic.

## Vectors In Two Or Three Dimensions

**Author :**A. E. Hirst

**ISBN :**9780340614693

**Genre :**Mathematics

**File Size :**32. 5 MB

**Format :**PDF, ePub

**Download :**983

**Read :**500

Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories. * Adopts a geometric approach * Develops gradually, building from basics to the concept of isometry and vector calculus * Assumes virtually no prior knowledge * Numerous worked examples, exercises and challenge questions

## Vectors In Two Or Three Dimensions

**Author :**Ann Hirst

**ISBN :**9780080572017

**Genre :**Mathematics

**File Size :**32. 57 MB

**Format :**PDF, ePub

**Download :**734

**Read :**293

Vectors in 2 or 3 Dimensions provides an introduction to vectors from their very basics. The author has approached the subject from a geometrical standpoint and although applications to mechanics will be pointed out and techniques from linear algebra employed, it is the geometric view which is emphasised throughout. Properties of vectors are initially introduced before moving on to vector algebra and transformation geometry. Vector calculus as a means of studying curves and surfaces in 3 dimensions and the concept of isometry are introduced later, providing a stepping stone to more advanced theories. * Adopts a geometric approach * Develops gradually, building from basics to the concept of isometry and vector calculus * Assumes virtually no prior knowledge * Numerous worked examples, exercises and challenge questions