Book of Proof

Book of Proof
Author: Richard H. Hammack
Publisher:
Total Pages: 314
Release: 2016-01-01
Genre: Mathematics
ISBN: 9780989472111

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Author:
Publisher: Springer Nature
Total Pages: 680
Release:
Genre:
ISBN: 3031741536

Becoming Socrates

Becoming Socrates
Author: Alex Priou
Publisher: Boydell & Brewer
Total Pages: 258
Release: 2018
Genre: Philosophy
ISBN: 1580469191

A rigorous investigation of Socrates' early education, pinpointing the thought that led Socrates to turn from natural science to the study of morality, ethics, and politics

Creativity and Common Sense

Creativity and Common Sense
Author: Thomas Krettek, SJ
Publisher: State University of New York Press
Total Pages: 334
Release: 1987-07-01
Genre: Philosophy
ISBN: 1438409729

Paul Weiss is one of the two or three most original and creative philosophers and metaphysicians in America today. Creativity and Common Sense reveals why. It contains fourteen recent articles on the thought of Paul Weiss by authors who are most familiar with his writings, including an essay by Charles Hartshorne that provides a unique perspective on Weiss by one who has known him for his entire career. Weiss is shown to be one of the very few contemporary philosophers who examines every area of concern to philosophy and does so on the basis of ontological insights regarding the ultimate elements of reality. He begins his philosophical consideration with the evidences offered by the world of common sense and seeks to provide an adequate and comprehensive account of what he finds there. The contributors to this collection present and examine many of Weiss' strategic insights. They help clarify key elements in his thought and thereby contribute to an appreciation and understanding of his work. They also make evident the importance of Weiss' insights for resolving vexing questions in such diverse areas as the philosophy of science, philosophical methodology, ethics, aesthetics, the philosophy of the human person, and the philosophy of language. This collection makes a significant contribution to the development of Weissian scholarship and to the growing appreciation of the significance of his thought for the discussions of contemporary philosophy.

Exploring Advanced Euclidean Geometry with GeoGebra

Exploring Advanced Euclidean Geometry with GeoGebra
Author: Gerard A. Venema
Publisher: American Mathematical Soc.
Total Pages: 147
Release: 2013-12-31
Genre: Mathematics
ISBN: 0883857847

This book provides an inquiry-based introduction to advanced Euclidean geometry. It utilizes dynamic geometry software, specifically GeoGebra, to explore the statements and proofs of many of the most interesting theorems in the subject. Topics covered include triangle centers, inscribed, circumscribed, and escribed circles, medial and orthic triangles, the nine-point circle, duality, and the theorems of Ceva and Menelaus, as well as numerous applications of those theorems. The final chapter explores constructions in the Poincare disk model for hyperbolic geometry. The book can be used either as a computer laboratory manual to supplement an undergraduate course in geometry or as a stand-alone introduction to advanced topics in Euclidean geometry. The text consists almost entirely of exercises (with hints) that guide students as they discover the geometric relationships for themselves. First the ideas are explored at the computer and then those ideas are assembled into a proof of the result under investigation. The goals are for the reader to experience the joy of discovering geometric relationships, to develop a deeper understanding of geometry, and to encourage an appreciation for the beauty of Euclidean geometry.

Nine Papers on Hilbert's 16th Problem

Nine Papers on Hilbert's 16th Problem
Author: Dmitri_ Andreevich Gudkov G. A. Utkin
Publisher: American Mathematical Soc.
Total Pages: 182
Release: 1978-12-31
Genre: Curves, Algebraic
ISBN: 9780821895504

Translations of articles on mathematics appearing in various Russian mathematical serials.

Euclid's Elements

Euclid's Elements
Author: Euclid
Publisher:
Total Pages: 544
Release: 2002
Genre: Mathematics
ISBN:

"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

DISCRETE MATHEMATICS AND GRAPH THEORY

DISCRETE MATHEMATICS AND GRAPH THEORY
Author: BHAVANARI SATYANARAYANA
Publisher: PHI Learning Pvt. Ltd.
Total Pages: 528
Release: 2014-04-04
Genre: Mathematics
ISBN: 8120349482

This comprehensive and self-contained text provides a thorough understanding of the concepts and applications of discrete mathematics and graph theory. It is written in such a manner that beginners can develop an interest in the subject. Besides providing the essentials of theory, the book helps develop problem-solving techniques and sharpens the skill of thinking logically. The book is organized in two parts. The first part on discrete mathematics covers a wide range of topics such as predicate logic, recurrences, generating function, combinatorics, partially ordered sets, lattices, Boolean algebra, finite state machines, finite fields, elementary number theory and discrete probability. The second part on graph theory covers planarity, colouring and partitioning, directed and algebraic graphs. In the Second Edition, more exercises with answers have been added in various chapters. Besides, an appendix on languages has also been included at the end of the book. The book is intended to serve as a textbook for undergraduate engineering students of computer science and engineering, information communication technology (ICT), and undergraduate and postgraduate students of mathematics. It will also be useful for undergraduate and postgraduate students of computer applications. KEY FEATURES • Provides algorithms and flow charts to explain several concepts. • Gives a large number of examples to illustrate the concepts discussed. • Includes many worked-out problems to enhance the student’s grasp of the subject. • Provides exercises with answers to strengthen the student’s problem-solving ability. AUDIENCE • Undergraduate Engineering students of Computer Science and Engineering, Information communication technology (ICT) • Undergraduate and Postgraduate students of Mathematics. • Undergraduate and Postgraduate students of Computer Applications.