LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	510
Title	Exploring Mathematics ([EBook]) : Problem-Solving and Proof / / by Daniel Grieser.
Author	Grieser, Daniel
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2018.
Physical Details	XXI, 298 p. 77 illus., 15 illus. in color. : online resource.
Series	Springer undergraduate mathematics series 1615-2085
ISBN	9783319903217
Summary Note	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.:
Contents note	Introduction -- 1 First explorations -- 2 Recursion – a fundamental idea -- 3 Mathematical induction -- 4 Graphs -- 5 Counting -- 6 General problem solving strategies -- 7 Logic and proofs -- 8 Elementary number theory -- 9 The pigeonhole principle -- 10 The extremal principle -- 11 The invariance principle -- A A survey of problem-solving strategies -- B Basics on sets and maps -- List of symbols -- Glossary -- Lists of problems, theorems and methods -- Hints for selected exercises -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-90321-7
Links to Related Works	Subject References: Mathematics . Mathematics Education . Mathematics, general . Popular Science in Mathematics . Authors: Grieser, Daniel . Corporate Authors: SpringerLink (Online service) . Series: Springer undergraduate mathematics series . Classification: 510 .

Catalogue Display

Exploring Mathematics: Problem-Solving and Proof /

Reviews