Suggested Books of the Week 50, 2019 | Books - Helge Scherlund's eLearning News

Check out these books below by Cambridge University Press and Dover Publications.

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Where Do Numbers Come From?  

Where Do Numbers Come From?

Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and techniques needed to address them. Nowadays it is commonplace for apprentice mathematicians to hear 'we shall assume the standard properties of the real numbers' as part of their training. But exactly what are those properties? And why can we assume them?...

Additional chapters on polynomials and quarternions provide further context for any reader wanting to delve deeper.

• Contains clear explanation of the various number systems used in mathematics
• Entertaining and accessible to undergraduates
• Solutions to all exercises are available online

Date Published: October 2019
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The Role of Mathematics in Evolutionary Theory

The Role of Mathematics in Evolutionary Theory

The central role of mathematical modeling in modern evolutionary theory has raised a concern as to why and how abstract formulae can say anything about empirical phenomena of evolution. This Element introduces existing philosophical approaches to this problem and proposes a new account according to which evolutionary models are based on causal, and not just mathematical, assumptions.

Date Published: October 2019
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Data Mining and Machine Learning - Fundamental Concepts and Algorithms 

 

Data Mining and Machine Learning
Fundamental Concepts and Algorithms

The fundamental algorithms in data mining and machine learning form the basis of data science, utilizing automated methods to analyze patterns and models for all kinds of data in applications ranging from scientific discovery to business analytics. This textbook for senior undergraduate and graduate courses provides a comprehensive, in-depth overview of data mining, machine learning and statistics, offering solid guidance for students, researchers, and practitioners...

New to this second edition is an entire part devoted to regression methods, including neural networks and deep learning.

• Covers both core methods and cutting-edge research, including deep learning
• Offers an algorithmic approach with open-source implementations
• Short, self-contained chapters with class-tested examples and exercises allow flexibility in course design and ready reference

Publication planned for: December 2019
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Data-Driven Science and Engineering - Machine Learning, Dynamical Systems, and Control

Data-Driven Science and Engineering
Machine Learning, Dynamical Systems, and Control

Data-driven discovery is revolutionizing the modeling, prediction, and control of complex systems. This textbook brings together machine learning, engineering mathematics, and mathematical physics to integrate modeling and control of dynamical systems with modern methods in data science...

Aimed at advanced undergraduate and beginning graduate students in the engineering and physical sciences, the text presents a range of topics and methods from introductory to state of the art.

• Provides in-depth examples paired with comprehensive, open-source code
• Features concise, digestible explanations of complex concepts and their applications
• Online supplements include homeworks, video lectures, and code and datasets in MATLAB® and Python

 Date Published: February 2019
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Probability Theory and Statistical Inference - Empirical Modeling with Observational Data

Probability Theory and Statistical Inference
Empirical Modeling with Observational Data

Doubt over the trustworthiness of published empirical results is not unwarranted and is often a result of statistical mis-specification: invalid probabilistic assumptions imposed on data. Now in its second edition, this bestselling textbook offers a comprehensive course in empirical research methods, teaching the probabilistic and statistical foundations that enable the specification and validation of statistical models, providing the basis for an informed implementation of statistical procedure to secure the trustworthiness of evidence...


This new edition is now more accessible to students of disciplines beyond economics and includes more pedagogical features, with an increased number of examples as well as review questions and exercises at the end of each chapter.

• Addresses the current concerns surrounding the untrustworthiness of evidence stemming from an uninformed recipe-like implementation of statistical procedures
• Offers a seamless integration of probability theory and statistical inference with a view to elucidate the interplay between deduction and induction when learning from data using statistical procedures
• Proposes a coherent account of frequentist testing that refines and extends the original Fisher and Neyman–Pearson framing by articulating an evidential interpretation of the p-values and accept/reject results that addresses several fallacies, abuses and misinterpretations bedevilling statistical testing since the 1940s

Date Published: September 2019
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Advanced Calculus 

Advanced Calculus

"This book is a radical departure from all previous concepts of advanced calculus," declared the Bulletin of the American Mathematics Society, "and the nature of this departure merits serious study of the book by everyone interested in undergraduate education in mathematics." Classroom-tested in a Princeton University honors course, it offers students a unified introduction to advanced calculus.
Starting with an abstract treatment of vector spaces and linear transforms, the authors introduce a single basic derivative in an invariant form. All other derivatives — gradient, divergent, curl, and exterior — are obtained from it by specialization. The corresponding theory of integration is likewise unified, and the various multiple integral theorems of advanced calculus appear as special cases of a general Stokes formula. The text concludes by applying these concepts to analytic functions of complex variables.

Reprint of the Van Nostrum, Princeton, New Jersey, 1959 edition.
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Aristotle 

Aristotle

A. E. Taylor's Aristotle is a brilliantly written popular account of the great Greek philosopher and his thought. It is not simply a listing and abstract discussion of ideas, but a searching analysis of Aristotle's thought, both in terms of its contemporary and historical background, and its present application. Written by one of the very greatest Platonic scholars of our day, it is provocative enough to stimulate the expert, and lucid and instructive for the beginner.
Dr. Taylor covers the life and works of Aristotle; classification of the sciences; scientific method; formal logic; induction; theory of knowledge; first philosophy; matter & form; the potential and the actual; the four causes; motion and its eternity; God; physics; terrestrial bodies; biology; psychology; grades of psychical life; sensation; common sensibles and the common sense organ; thought; active intelligence; practical philosophy; ethics; society; the theory of the state; music and literature.

 

Reprint of the revised, 1919 edition.

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A Confession
 

A Confession

Despite having written War and Peace and Anna Karenina, Leo Tolstoy, at the age of 51, looked back on his life and considered it a meaningless, regrettable failure. A Confession provides insight into the great Russian writer's movement from the pursuit of aesthetic ideals toward matters of religious and philosophical consequence.
Authentic and genuinely moving, this memoir of midlife spiritual crisis was first distributed in 1872 and marked a turning point in the author's career as a writer: in subsequent years, Tolstoy would write almost exclusively about religious life, especially devotion among the peasantry.
Generations of readers have been inspired by this heartfelt reexamination of Christian orthodoxy and subsequent spiritual awakening. Ranked among the best books on the subject, this timeless work is for anyone who has ever worried about the fleeting nature of life and speculated about the value of existence.

 

Reprint from A Confession and What I Believe,Oxford University Press, London, 1921.

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Sit in the studyroom enjoy a hot cup of ☕️coffee and a good 📚book

Source: Cambridge University Press and Dover Publications.