Daniel J. Arrigo's Books

Fast Start Integral Calculus

By: Daniel Ashlock

Write a review Read reviews Take a Quiz Solve Book Puzzle

This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. Both the differential and integral calculus of parametric, polar, and vector functions are introduced. The book concludes with a survey of methods of integration, including u-substitution, integration by parts, special trigonometric integrals, trigonometric substitution, and partial fractions.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

198

Publisher

Springer Nature

Published Date

ISBN 10

3031024214

ISBN 13

9783031024214

Mathematical Problem Factories

Almost Endless Problem Generation

By: Andrew McEachern,Daniel Ashlock

Write a review Read reviews Take a Quiz Solve Book Puzzle

Mathematical Problem Factories

Almost Endless Problem Generation

By: Andrew McEachern,Daniel Ashlock

A problem factory consists of a traditional mathematical analysis of a type of problem that describes many, ideally all, ways that the problems of that type can be cast in a fashion that allows teachers or parents to generate problems for enrichment exercises, tests, and classwork. Some problem factories are easier than others for a teacher or parent to apply, so we also include banks of example problems for users. This text goes through the definition of a problem factory in detail and works through many examples of problem factories. It gives banks of questions generated using each of the examples of problem factories, both the easy ones and the hard ones. This text looks at sequence extension problems (what number comes next?), basic analytic geometry, problems on whole numbers, diagrammatic representations of systems of equations, domino tiling puzzles, and puzzles based on combinatorial graphs. The final chapter previews other possible problem factories.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

147

Publisher

Springer Nature

Published Date

ISBN 10

3031024362

ISBN 13

9783031024368

Fast Start Differential Calculus

By: Daniel Ashlock

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fast Start Differential Calculus

By: Daniel Ashlock

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. It explores the applications of the derivative to curve sketching and optimization and concludes with the formal definition of the limit, the squeeze theorem, and the mean value theorem.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

222

Publisher

Springer Nature

Published Date

ISBN 10

3031024206

ISBN 13

9783031024207

Symmetry Analysis of Differential Equations

An Introduction

By: Daniel J. Arrigo

Write a review Read reviews Take a Quiz Solve Book Puzzle

Symmetry Analysis of Differential Equations

An Introduction

By: Daniel J. Arrigo

A self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEs Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems. Thoroughly class-tested, the author presents classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features: Detailed, step-by-step examples to guide readers through the methods of symmetry analysis End-of-chapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methods Symmetry Analysis of Differential Equations: An Introduction is an ideal textbook for upper-undergraduate and graduate-level courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

190

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118721659

ISBN 13

9781118721650

Fast Start Advanced Calculus

By: Daniel Ashlock

Write a review Read reviews Take a Quiz Solve Book Puzzle

Fast Start Advanced Calculus

By: Daniel Ashlock

This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. Volumes of rotation, arc length, and surface area are included in the additional applications of integration. Using multiple integrals, including computing volume and center of mass, is covered. The book concludes with an initial treatment of sequences, series, power series, and Taylor's series, including techniques of function approximation.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

179

Publisher

Springer Nature

Published Date

ISBN 10

3031024222

ISBN 13

9783031024221

Analytical Techniques for Solving Nonlinear Partial Differential Equations

By: Daniel J. Arrigo

Write a review Read reviews Take a Quiz Solve Book Puzzle

Analytical Techniques for Solving Nonlinear Partial Differential Equations

By: Daniel J. Arrigo

This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, the reader is introduced to techniques used to obtain exact solutions of NPDEs. The chapters include the following topics: Compatibility, Differential Substitutions, Point and Contact Transformations, First Integrals, and Functional Separability. The reader is guided through these chapters and is provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for a second course in PDEs (typically found in both science and engineering programs) and has been used at the University of Central Arkansas for more than ten years.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

151

Publisher

Springer Nature

Published Date

ISBN 10

3031024176

ISBN 13

9783031024177

An Introduction to Partial Differential Equations

By: Daniel J. Arrigo

Write a review Read reviews Take a Quiz Solve Book Puzzle

An Introduction to Partial Differential Equations

By: Daniel J. Arrigo

This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs that come from a variety of fields in the Natural Sciences and Engineering and is a springboard into this wonderful subject. The chapters include the following topics: First-order PDEs, Second-order PDEs, Fourier Series, Separation of Variables, and the Fourier Transform.The reader is guided through these chapters where techniques for solving first- and second-order PDEs are introduced. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for any introductory course in PDEs typically found in both science and engineering programs and has been used at the University of Central Arkansas for over ten years.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

155

Publisher

Springer Nature

Published Date

ISBN 10

3031024133

ISBN 13

9783031024139

An Introduction to Partial Differential Equations

By: Daniel J. Arrigo

Write a review Read reviews Take a Quiz Solve Book Puzzle

An Introduction to Partial Differential Equations

By: Daniel J. Arrigo

This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs that come from a variety of fields in the Natural Sciences and Engineering and is a springboard into this wonderful subject. The chapters include the following topics: First-order PDEs, Second-order PDEs, Fourier Series, Separation of Variables, and the Fourier Transform. The reader is guided through these chapters where techniques for solving first- and second-order PDEs are introduced. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for any introductory course in PDEs typically found in both science and engineering programs and has been used at the University of Central Arkansas for over ten years.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

169

Publisher

Morgan & Claypool Publishers

Published Date

ISBN 10

1681732556

ISBN 13

9781681732558

Analytical Techniques for Solving Nonlinear Partial Differential Equations

By: Daniel J. Arrigo

Write a review Read reviews Take a Quiz Solve Book Puzzle

Analytical Techniques for Solving Nonlinear Partial Differential Equations

By: Daniel J. Arrigo

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

151

Publisher

Springer Nature

Published Date

ISBN 10

3031024176

ISBN 13

9783031024177

Symmetry Analysis of Differential Equations

An Introduction

By: Daniel J. Arrigo

Write a review Read reviews Take a Quiz Solve Book Puzzle

Symmetry Analysis of Differential Equations

An Introduction

By: Daniel J. Arrigo

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

192

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118721446

ISBN 13

9781118721445

Book's by Daniel J. Arrigo

Fast Start Integral Calculus

Fast Start Integral Calculus

Mathematical Problem Factories

Mathematical Problem Factories

Fast Start Differential Calculus

Fast Start Differential Calculus

Symmetry Analysis of Differential Equations

Symmetry Analysis of Differential Equations

Fast Start Advanced Calculus

Fast Start Advanced Calculus

Analytical Techniques for Solving Nonlinear Partial Differential Equations

Analytical Techniques for Solving Nonlinear Partial Differential Equations

An Introduction to Partial Differential Equations

An Introduction to Partial Differential Equations

An Introduction to Partial Differential Equations

An Introduction to Partial Differential Equations

Analytical Techniques for Solving Nonlinear Partial Differential Equations

Analytical Techniques for Solving Nonlinear Partial Differential Equations

Symmetry Analysis of Differential Equations

Symmetry Analysis of Differential Equations

Username

Password

Username

Password

Password again

Birthday

Email