Jared Maruskin's Books

Dynamical Systems and Geometric Mechanics

An Introduction

By: Jared Maruskin

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Dynamical Systems and Geometric Mechanics

An Introduction

By: Jared Maruskin

Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds. The first part discusses the linearization and stability of trajectories and fixed points, invariant manifold theory, periodic orbits, Poincaré maps, Floquet theory, the Poincaré-Bendixson theorem, bifurcations, and chaos. The second part of the book begins with a self-contained chapter on differential geometry that introduces notions of manifolds, mappings, vector fields, the Jacobi-Lie bracket, and differential forms.

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Page Count

350

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110597802

ISBN 13

9783110597806

The Elements of Problem Solving

By: Jared M. Maruskin

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The Elements of Problem Solving

By: Jared M. Maruskin

This concise volume seeks to address the silent void that university students embarking on mathematical coursework inevitably face: How does one apply ideas, concepts, and theory to story problems that at first seem intractable? We pay equal attention to the abstract aspects of problem solving as well as the practical. We discuss common misperceptions of ability and pay close attention to the attitudes and habits employed by successful problem solvers. We reveal problem solving as both achievable and fun, and illustrate these themes with specific examples and stories throughout the text. We also enumerate simple, executable steps that can be implemented when faced with virtually any new problem: understand the problem; draw a picture; define variables; be consistent; utilize principles. Far from trivial, these steps often lead novice problem solvers to error. In sum, we hope you find this charming work to be an indispensable guide on your journey and an effective means to improving and maturing your problem-solving capabilities.

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Page Count

132

Publisher

Solar Crest Publishing LLC

Published Date

ISBN 10

0985062754

ISBN 13

9780985062750

Essential Linear Algebra

By: Jared M. Maruskin

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Essential Linear Algebra

By: Jared M. Maruskin

This text introduces linear algebra--boiled to its essence--presented in a clear and concise fashion. Designed around a single-semester undergraduate course, Essential Linear Algebra introduces key concepts, various real-world applications, and provides detailed yet understandable proofs of key results that are aimed towards students with no advanced preparation in proof writing. The level of sophistication gradually increases from beginning to end in order to prepare students for subsequent studies.We begin with a detailed introduction to systems of linear equations and elementary row operations. We then advance to a discussion of linear transformations, which provide a second, more geometric, interpretation of the operation of matrix-vector product. We go on to introduce vector spaces and their subspaces, the image and kernel of a transformation, and change of coordinates. Following, we discuss matrices of orthogonal projections and orthogonal matrices. Our penultimate chapter is devoted to the theory of determinants, which are presented, first, in terms of area and volume expansion factors of 2x2 and 3x3 matrices, respectively. We use a geometric understanding of volume in n-dimensions to introduce general determinants axiomatically as multilinear, antisymmetric mappings, and prove existence and uniqueness. Our final chapter is devoted to the theory of eigenvalues and eigenvectors. We conclude with a number of discussions on various types of diagonalization: real, complex, and orthogonal.

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Page Count

282

Publisher

Solar Crest Publishing LLC

Published Date

ISBN 10

0985062738

ISBN 13

9780985062736

Dynamical Systems and Geometric Mechanics

An Introduction

By: Jared Maruskin

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Dynamical Systems and Geometric Mechanics

An Introduction

By: Jared Maruskin

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Solve jigsaw puzzle

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Page Count

350

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110597802

ISBN 13

9783110597806

Fundamentals of Data Science Trilogy

Experiment-Model-Learn

By: Jared M. Maruskin

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Fundamentals of Data Science Trilogy

Experiment-Model-Learn

By: Jared M. Maruskin

In this series, we cover statistical experimentation, modeling, and machine learning, focusing on:basic statistics, hypothesis testing, and experimentationvalidation methodologylinear and logistic regression; generalized linear modelscausalitytime series analysisBayesian statisticsclusteringdecision trees, random forests, and boosted forestsartificial neural networks and deep learningreinforcement learningOur focus is on mathematical derivations, algorithmic development, and programming. We use Python throughout the text to support our theory. All machine learning techniques are coded from scratch using Python.

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Page Count

892

Published Date

ISBN 10

1941043038

ISBN 13

9781941043035

Fundamentals of Data Science Part III

Machine Learning

By: Jared M. Maruskin

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Fundamentals of Data Science Part III

Machine Learning

By: Jared M. Maruskin

In Part III of this series, we cover the fundamentals of machine learning, focusing on:validation methodology (reprint)nearest neighbor, k-means, support vector machines, principal component analysistree-based methods: decision trees, bagging, random forest, boosting, XGBoostartificial neural networks and deep learningreinforcement learningThe focus is on algorithmic development and programming. We code each technique from scratch in Python, using an object-oriented approach.

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Page Count

316

Published Date

ISBN 10

1941043135

ISBN 13

9781941043134

The Elements of Problem Solving

By: Jared M. Maruskin

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The Elements of Problem Solving

By: Jared M. Maruskin

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Solve jigsaw puzzle

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Page Count

132

Publisher

Solar Crest Publishing LLC

Published Date

ISBN 10

0985062754

ISBN 13

9780985062750

Fundamentals of Data Science Part II: Statistical Modeling

By: Jared M. Maruskin

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Fundamentals of Data Science Part II: Statistical Modeling

By: Jared M. Maruskin

In Part II of this series, we cover the elements of statistical modeling, focusing on: validation methodology principles of object-oriented design linear and logistic regression generalized linear models causality time series analysis Bayesian statistics, including simulations in pymc3 Modeling customer lifetime values, including a detailed study of the beta-Bernoulli/beta-binomial model, a discretized version of the classic Pareto/NBD an introduction to credibility theory The theory is illustrated with simulations in Python throughout the text.

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Page Count

356

Published Date

ISBN 10

1941043127

ISBN 13

9781941043127

The Elements of Problem Solving

By: Jared M. Maruskin

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The Elements of Problem Solving

By: Jared M. Maruskin

This concise volume seeks to address the silent void that university students embarking on mathematical coursework inevitably face: How does one apply ideas, concepts, and theory to story problems that at first seem intractable? We pay equal attention to the abstract aspects of problem solving as well as the practical. We discuss common misperceptions of ability and pay close attention to the attitudes and habits employed by successful problem solvers. We reveal problem solving as both achievable and fun, and illustrate these themes with specific examples and stories throughout the text. We also enumerate simple, executable steps that can be implemented when faced with virtually any new problem: understand the problem; draw a picture; define variables; be consistent; utilize principles. Far from trivial, these steps often lead novice problem solvers to err. In aggregate, we hope you find this charming work to be an indispensable guide on your journey and an effective means to improving and maturing your problem-solving capabilities.

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

132

Published Date

ISBN 10

0985062746

ISBN 13

9780985062743

Book's by Jared Maruskin

Dynamical Systems and Geometric Mechanics

Dynamical Systems and Geometric Mechanics

The Elements of Problem Solving

The Elements of Problem Solving

Essential Linear Algebra

Essential Linear Algebra

Dynamical Systems and Geometric Mechanics

Dynamical Systems and Geometric Mechanics

Fundamentals of Data Science Trilogy

Fundamentals of Data Science Trilogy

Fundamentals of Data Science Part III

Fundamentals of Data Science Part III

The Elements of Problem Solving

The Elements of Problem Solving

Fundamentals of Data Science Part II: Statistical Modeling

Fundamentals of Data Science Part II: Statistical Modeling

The Elements of Problem Solving

The Elements of Problem Solving

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