What are the sources of mathematical subject matter?

• What is about the meaning of a mathematical object?

• What is the nature of a mathematical proposition?

• What is the relationship between logic and mathematics?

• What is the role of mathematics hermeneutic?

• Mathematics played a role in the investigation which type

• What is the subject of mathematical investigations?

• What is the human traits behind mathematics?

• What is mathematical beauty?

• What is the ...

From ancient times, mathematics has developed side-by-side with physics; only in the last two hundred years they came apart as different branches of science. Extensive use of mathematics in other sciences, such as biology, chemistry, economics, pharmacology, environmental and social sciences is even more recent. Nowadays, knowledge of mathematical techniques is indispensable also for students and researchers in these fields.

The series of textbooks “Mathematics that Works” presents mathem...

A guide to critical thinking in the 'post-truth' era, from the author of Sunday Times best-seller The Organized Mind We live in a world of information overload. Facts and figures on absolutely everything are at our fingertips, but are too often biased, distorted, or outright lies. From unemployment figures to voting polls, IQ tests to divorce rates, we're bombarded by seemingly plausible statistics on how people live and what they think.

Daniel Levitin teaches us how to effectively ask oursel...

Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum.

Exercise sets are broad and varied and reflect the author's creativity a...

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea.

Throughout the book, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen wallpaper groups are tr...

A precursor to Russell’s famous Principa Mathematica, this is one of the most original and comprehensive treatises on the logical foundation of mathematics available today.

This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics.

Finite Element Modeling and Simulation with ANSYS Workbench 18, Second Edition, combines finite element theory with real-world practice. Providing an introduction to finite element modeling and analysis for those with no prior experience, and written by authors with a combined experience of 30 years teaching the subject, this text presents FEM formulations integrated with relevant hands-on instructions for using ANSYS Workbench 18. Incorporating the basic theories of FEA, simulation case stud...

A springboard for success in Calculus.

With a unique framework and a fresh approach Preparation for Calculus equips students with the necessary skills and confidence to succeed in their foundational calculus course and beyond. The authors focus on challenges observed in the modern classroom to create an accessible resource that will help students develop strong calculation skills and mathematical sophistication.