Exploring mathematics : problem-solving and proof / Daniel Grieser.

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Exploring mathematics : problem-solving and proof / Daniel Grieser.

Mathematisches Problemlösen und Beweisen. English

9783319903217 (electronic book)
3319903217 (electronic book)
9783319903194
3319903195

Cham, Switzerland : Springer, 2018.

English

1 online resource (xxi, 298 pages) : illustrations.

10.1007/978-3-319-90321-7 doi

QA39.3

510

Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses.

Includes bibliographical references.

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text file PDF

Online resource; title from PDF title page (SpringerLink, viewed May 31, 2018).

Springer undergraduate mathematics series.

Print version: 9783319903194

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