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    Exploring Mathematics: Problem-Solving and Proof

    Exploring Mathematics by Grieser, Daniel;

    Problem-Solving and Proof

    Series: Springer Undergraduate Mathematics Series;

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      • Publisher's listprice EUR 40.65
      • The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

        17 243 Ft (16 422 Ft + 5% VAT)
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      • Discounted price 13 794 Ft (13 138 Ft + 5% VAT)

    17 243 Ft

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    Availability

    Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
    Not in stock at Prospero.

    Why don't you give exact delivery time?

    Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.

    Product details:

    • Edition number 1st ed. 2018
    • Publisher Springer
    • Date of Publication 31 May 2018
    • Number of Volumes 1 pieces, Book

    • ISBN 9783319903194
    • Binding Paperback
    • No. of pages308 pages
    • Size 235x155 mm
    • Weight 498 g
    • Language English
    • Illustrations 62 Illustrations, black & white; 15 Illustrations, color
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    Short description:

    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.

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    Long description:

    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.



    ?This book sets out to teach the reader to be a successful problem-solver and to be able to produce our own mathematical proofs. In a carefully designed and well-documented journey we are taken through a wide variety of problems ? . This is a very clear and helpful book. It would be a useful addition to every teacher?s repertoire and a very helpful source of interesting problems to share with students at all levels.? (Peter Hall, The Mathematical Gazette, Vol. 103 (557), July, 2019)

    ?Exploring Mathematics can be used as an introduction to mathematical problem-solving, but may be better used as a supplement. I personally found that this systematic review of mathematical topics was refreshing, helping to fill gaps in my problem-solving toolkit. The reader may find it beneficial to use the book to review the fundamentals and enrich their problem-solving knowledge.? (Jack Chen, MAA Reviews, January, 2019)?

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    Table of Contents:

    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.

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    Exploring Mathematics: Problem-Solving and Proof

    Exploring Mathematics: Problem-Solving and Proof

    Grieser, Daniel;

    17 243 HUF

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