Foundations of Mathematics offers the university student or interested reader a unique reference book by covering the basics of algebra, trigonometry, geometry, and calculus. There are many instances in the book to demonstrate the interplay and interconnectedness of these topics. The book presents definitions and examples throughout for clear, easy learning. Numerous exercises are included at the ends of the chapters, and readers are encouraged to complete all of them as an essential part of working through the book. It offers a unique experience for readers to understand different areas of mathematics in one clear, concise text. Instructors’ resources are available upon adoption. Features: •Covers the basics of algebra, trigonometry, geometry, and calculus •Includes all of the mathematics needed to learn calculus •Demonstrates the interplay and interconnectedness of these topics •Uses numerous examples and exercises to reinforce concepts
Sn) = D. If this is a tautology then the truth of S1, ..., S, ensures the truth of D, as required. A tautology of the form (S1& . ... In a simple case we might know that Vx e S: P(x) is true, and infer that Hx e S: P(x) is also true.
The Foundations of Mathematics (Stewart and Tall) is a horse of a different color. The writing is excellent and there is actually some useful mathematics. I definitely like this book."--The Bulletin of Mathematics Books
This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics.
This classic undergraduate text by an eminent educator acquaints students with the fundamental concepts and methods of mathematics.
The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science.
This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.
This book shares the work of some of the most important scholars in the fields of set theory (S. Friedman), non-classical logic (G. Priest) and the philosophy of mathematics (P. Maddy).
Finally there's an easy-to-follow book that will help readers succeed in the art of proving theorems. Sibley not only conveys the spirit of mathematics but also uncovers the skills required to succeed.
The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. The book begins with a discussion of modular numbers (clock arithmetic) and modular polynomials.
Comprised of eight chapters, this book begins with an introduction to first-order logic.