Principles of Mathematics: A Primer

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Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics

An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra.

The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features:

  • Detailed explanations of important theorems and their applications
  • Hundreds of completely solved problems throughout each chapter
  • Numerous exercises at the end of each chapter to encourage further exploration
  • Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics

Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences.

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About the Author:

Vladimir Lepetic, PhD, is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, the foundations, and philosophy of mathematics.

Review:

"Standard material is covered here such as basis, linear transformations, the general linear group, systems of linear equations, determinants and eigenvalues. The book has many examples and exercises to help the reader." (Zentralblatt MATH 2016)

The author goes deep enough into group theory to cover normal subgroups and isomorphism theorems, and deep enough into linear algebra to discuss eigenvalue theory and the general linear group. "There are plenty of exercises and supplementary problems..........the book is certainly different from the competition." (Mathematical Association of America 2016)

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Book Description John Wiley & Sons Inc, United States, 2016. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking.Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: * Detailed explanations of important theorems and their applications * Hundreds of completely solved problems throughout each chapter * Numerous exercises at the end of each chapter to encourage further exploration * Discussions of interesting and provocative issues that spark readers curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences. Vladimir Lepetic, PhD, is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, foundations of mathematics, and the philosophy of mathematics. Seller Inventory # AAH9781119131649

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