Principles of Mathematics

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<p><b>Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics</b></p> <p>An accessible treatment of the fundamentals of modern mathematics, <i>Principles of Mathematics: A Primer </i>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.</p> <p>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, <i>Principles of Mathematics: A</i> <i>Primer </i>features:</p> <ul> <li>Detailed explanations of important theorems and their applications</li> <li>Hundreds of completely solved problems throughout each chapter</li> <li>Numerous exercises at the end of each chapter to encourage further exploration</li> <li>Discussions of interesting and provocative issues that spark readers&rsquo; curiosity and facilitate a better understanding and appreciation of the field of mathematics</li> </ul> <p><i>Principles of Mathematics: A Primer </i>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.</p>