Solving Mathematical Problems

Solving Mathematical Problems PDF

Author: Terence Tao

Publisher: OUP Oxford

Published: 2006-07-28

Total Pages: 116

ISBN-13: 0191568694

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Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

The Great Mathematical Problems

The Great Mathematical Problems PDF

Author: Ian Stewart

Publisher: Profile Books

Published: 2013-03-07

Total Pages: 340

ISBN-13: 1847653510

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There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincar Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

Advanced Problems in Mathematics

Advanced Problems in Mathematics PDF

Author: Stephen Siklos

Publisher:

Published: 2020-10-09

Total Pages: 180

ISBN-13: 9781013293832

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This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination.Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently.This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Intriguing Mathematical Problems

Intriguing Mathematical Problems PDF

Author: Oswald Jacoby

Publisher: Courier Corporation

Published: 2013-05-23

Total Pages: 208

ISBN-13: 0486168360

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Treasury of challenging brainteasers includes puzzles involving numbers, letters, probability, reasoning, more: The Enterprising Snail, The Fly and the Bicycles, The Lovesick Cockroaches, many others. No advanced math needed. Solutions.

Mathematical Analysis of Physical Problems

Mathematical Analysis of Physical Problems PDF

Author: Philip Russell Wallace

Publisher: Courier Corporation

Published: 1984-01-01

Total Pages: 644

ISBN-13: 0486646769

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This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

The Green Book of Mathematical Problems

The Green Book of Mathematical Problems PDF

Author: Kenneth Hardy

Publisher: Courier Corporation

Published: 2013-11-26

Total Pages: 184

ISBN-13: 0486169456

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Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.

Challenging Math Problems

Challenging Math Problems PDF

Author: Terry Stickels

Publisher: Courier Dover Publications

Published: 2015-10-21

Total Pages: 116

ISBN-13: 0486795535

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This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions.

Unsolved Problems in Number Theory

Unsolved Problems in Number Theory PDF

Author: Richard Guy

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 176

ISBN-13: 1475717385

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Second edition sold 2241 copies in N.A. and 1600 ROW. New edition contains 50 percent new material.

A Mathematical Orchard

A Mathematical Orchard PDF

Author: Mark Krusemeyer

Publisher: MAA

Published: 2012-10-11

Total Pages: 412

ISBN-13: 0883858339

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An entertaining collection of 208 accessible yet challenging mathematical puzzles, designed to appeal to problem solvers at many different levels.

Famous Problems of Mathematics

Famous Problems of Mathematics PDF

Author: Heinrich Tietze

Publisher:

Published: 1965

Total Pages: 410

ISBN-13:

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Topics include prime numbers and prime twins, traveling on surfaces; geodesics-surface curvature, trisection of an angle, on neighboring domains, squaring a circle, three dimensions-higher dimensions, more on prime numbers-their distribution, counting and calculating, the regular polygon of 17 sides, solving algebraic equations by means of root extraction, the four color problem, infinity in mathematics, Ferment's last problem, space curvature.