Advanced Problems in Mathematics
Advanced Problems in Mathematics

Author: Stephen Siklos

Publisher:

Published: 2019-10-16

Total Pages: 188

ISBN-13: 9781783747764

DOWNLOAD EBOOK

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.

The Problems of Mathematics
The Problems of Mathematics

Author: Ian Stewart

Publisher:

Published: 1992

Total Pages: 382

ISBN-13:

DOWNLOAD EBOOK

For the second edition of this introduction to today's mathematics, Ian Stewart has revised the text to take account of recent developments in the field. There are three new chapters, including one on Kepler's sphere-packing problem, which has taken 380 years to solve.

Berkeley Problems in Mathematics
Berkeley Problems in Mathematics

Author: Paulo Ney de Souza

Publisher: Springer Science & Business Media

Published: 2004-01-08

Total Pages: 614

ISBN-13: 9780387204291

DOWNLOAD EBOOK

This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.

Intriguing Mathematical Problems
Intriguing Mathematical Problems

Author: Oswald Jacoby

Publisher: Courier Corporation

Published: 2013-05-23

Total Pages: 210

ISBN-13: 0486168360

DOWNLOAD EBOOK

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.

Open Problems in Mathematics
Open Problems in Mathematics

Author: John Forbes Nash, Jr.

Publisher: Springer

Published: 2018-05-31

Total Pages: 543

ISBN-13: 9783319812106

DOWNLOAD EBOOK

The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. This volume comprises highly selected contributions by some of the most eminent mathematicians in the international mathematical community on longstanding problems in very active domains of mathematical research. A joint preface by the two volume editors is followed by a personal farewell to John F. Nash, Jr. written by Michael Th. Rassias. An introduction by Mikhail Gromov highlights some of Nash’s legendary mathematical achievements. The treatment in this book includes open problems in the following fields: algebraic geometry, number theory, analysis, discrete mathematics, PDEs, differential geometry, topology, K-theory, game theory, fluid mechanics, dynamical systems and ergodic theory, cryptography, theoretical computer science, and more. Extensive discussions surrounding the progress made for each problem are designed to reach a wide community of readers, from graduate students and established research mathematicians to physicists, computer scientists, economists, and research scientists who are looking to develop essential and modern new methods and theories to solve a variety of open problems.

Unsolved Problems in Number Theory
Unsolved Problems in Number Theory

Author: Richard Guy

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 176

ISBN-13: 1475717385

DOWNLOAD EBOOK

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

100 Great Problems of Elementary Mathematics
100 Great Problems of Elementary Mathematics

Author: Heinrich Dörrie

Publisher: Courier Corporation

Published: 2013-04-09

Total Pages: 418

ISBN-13: 0486318478

DOWNLOAD EBOOK

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Mathematics Problem-solving Challenges For Secondary School Students And Beyond
Mathematics Problem-solving Challenges For Secondary School Students And Beyond

Author: Alan Sultan

Publisher: World Scientific

Published: 2016-02-25

Total Pages: 196

ISBN-13: 981473005X

DOWNLOAD EBOOK

This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.

Problems and Solutions in Mathematics
Problems and Solutions in Mathematics

Author: Ji-Xiu Chen

Publisher: World Scientific

Published: 2011

Total Pages: 804

ISBN-13: 9814304964

DOWNLOAD EBOOK

This book contains a selection of more than 500 mathematical problems and their solutions from the PhD qualifying examination papers of more than ten famous American universities. The mathematical problems cover six aspects of graduate school mathematics: Algebra, Topology, Differential Geometry, Real Analysis, Complex Analysis and Partial Differential Equations. While the depth of knowledge involved is not beyond the contents of the textbooks for graduate students, discovering the solution of the problems requires a deep understanding of the mathematical principles plus skilled techniques. For students, this book is a valuable complement to textbooks. Whereas for lecturers teaching graduate school mathematics, it is a helpful reference.