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Livio M: The Most Beautiful Number

The Most Beautiful Number

Smart Thinking

A new smart-thinking series that applies complex mathematical ideas to everyday scenarios.

Mathematical answers to life’s key questions

Why Don’t Rabbits Rule The World?

Essays in Developmental Psychology

Perspectives from Developmental Psychology

Attitudes and Emotions Towards Mathematics

This book offers several topics of mathematical analysis which are closely connected with significant properties of real-valued functions of various types (such as semi-continuous functions, monotone functions, convex functions, measurable functions, additive and linear functionals, etc.). Alongside with fairly traditional themes of real analysis and classical measure theory, more profound questions are thoroughly discussed in the book – appropriate extensions and restrictions of functions, oscillation functions and their characterization, discontinuous functions on resolvable topological spaces, pointwise limits of finite sums of periodic functions, some general results on invariant and quasi-invariant measures, the structure of non-measurable sets and functions, the Baire property of functions on topological spaces and its connections with measurability properties of functions, logical and set-theoretical aspects of the behavior of real-valued functions.

Lectures on Real-valued Functions

The Science of Scaling Revenue

Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications. Designed to build swiftly from the more basic special functions towards more advanced material, the book is ideally suited for an intensive one semester course. Complemented with various solved examples and exercises to support students and instructors, the book can be used for both self-study and directed learning.Features<ul> <li>Suitable for graduate level students or beginning PhD students in mathematics, physics, statistics, and economics</li> <li>No previous background in complex analysis required</li> <li>Numerous solved examples and exercises.</li> </ul>

Introduction to Special Functions for Applied Mathematics

A hands-on guide to preparing your company for AI-powered digital transformation In Monster Transformation: Conquer Your Digital Fears, Be AI Ready, and Focus on What Matters to Your Organization, a team of veteran digital leaders delivers an expert guide to digital transformation that focuses on the competencies and your employees will need to have--and develop--to enable your organization to function in a world defined by generative artificial intelligence. The authors explain the knowledge, behaviors, and attitudes required to navigate an impactful digital transformation, offering you a methodical approach to meeting the technological moment. You'll learn how to begin, complete, and sustain a digital transformation and how to scale that transformation throughout your company. You'll also find: <ul> <li>Examples of transformation blockers and obstacles, as well as the steps you need to take to eliminate and overcome them</li> <li>Interviews with more than 30 transformation professionals providing real-world insights into the process</li> <li>Incisive case studies, hands-on scenarios, chapter exercises, and actionable takeaways you can apply immediately at your own organization</li> </ul> Perfect for managers, executives, and other business leaders, Monster Transformation is a practical handbook for implementing the world's newest, most exciting technologies in your company. It's a hands-on, no-nonsense guide for leaders who want to stop talking and planning about theoretical digital transformation and, instead, make a real difference, right now.

Conquer Your Digital Fears, Be AI Ready, and Focus on What Matters to Your Organization

Monster Transformation

De Gruyter Series in Applied and Numerical Mathematics

Advanced Computational Approaches for Rarefied Flows

Beyond Navier-Stokes

Statistical Analysis with Python For Dummies

Data-Directed Mathematical Modeling

Mathematics Study Resources

What kind of objects does mathematics investigate, and in what sense do these objects exist? Why are we justified in considering mathematical statements as part of our knowledge, and how can they be validated? A philosophy of mathematics seeks to answer such questions. In this introduction, we present the major positions in the philosophy of mathematics and formulate their core ideas into clear, accessible theses. Readers will learn which philosophers developed each position and the historical context in which they emerged. Drawing on fundamental intuitions and scientific findings, one can argue for or against these theses – such arguments form the second focus of this book. The book aims to encourage readers to reflect on the philosophy of mathematics, to develop their own stance, and to learn how to argue for it.
This book is a translation of the original German 2nd edition. The translation was done with the help of an artificial intelligence machine translation tool. A subsequent human revision was done primarily in terms of content, so that the book may read stylistically differently from a conventional translation.
The Author
Jörg Neunhäuserer earned his doctorate in mathematics at Freie Universität Berlin. He has published numerous articles in academic journals and has taught mathematics lectures in various bachelor's and master's programs at the universities of Berlin, Brunswick, Clausthal, Dresden, Hanover, Göttingen and Lüneburg. His German-language books on Mathematical Concepts and Beautiful Theorems of Mathematics are also available from Springer Spektrum.

Introduction to the Philosophy of Mathematics

Synthesis Lectures on Mathematics & Statistics

This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric space theory is the mathematical language in which limits are formulated. To understand analysis at a graduate level, students need to develop fluency in this language. To facilitate this development, exercises are incorporated into the main text, with many key results posed as problems. Solutions are provided to help readers fill in any gaps.
This book:
<ul>
<li>Covers the most crucial prerequisites for graduate level analysis, including metric space theory</li>
<li>Contains plentiful exercises to help develop proficiency in the key ideas and techniques, with solutions provided</li>
<li>Features a self-contained presentation designed for students to review or study on their own</li>
</ul>

A Primer for Mathematical Analysis

The Most Beautiful Number

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