Author: Kenneth Hardy

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 184

View: 860

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.

Author: Kenneth S. Williams

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 192

View: 319

Handy compilation of 100 practice problems, hints, and solutions indispensable for students preparing for the William Lowell Putnam and other mathematical competitions. Preface to the First Edition. Sources. 1988 edition.

Author: Kenneth Hardy

Publisher:

ISBN:

Category: Mathematics

Page: 173

View: 899

Author: Jiri Herman

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 344

View: 496

A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.

Author: Kenneth Hardy

Publisher:

ISBN:

Category: Mathematics

Page: 173

View: 870

Author: Martha A. Tucker

Publisher: ABC-CLIO

ISBN:

Category: Language Arts & Disciplines

Page: 368

View: 536

This book is a reference for librarians, mathematicians, and statisticians involved in college and research level mathematics and statistics in the 21st century. We are in a time of transition in scholarly communications in mathematics, practices which have changed little for a hundred years are giving way to new modes of accessing information. Where journals, books, indexes and catalogs were once the physical representation of a good mathematics library, shelves have given way to computers, and users are often accessing information from remote places. Part I is a historical survey of the past 15 years tracking this huge transition in scholarly communications in mathematics. Part II of the book is the bibliography of resources recommended to support the disciplines of mathematics and statistics. These are grouped by type of material. Publication dates range from the 1800's onwards. Hundreds of electronic resources-some online, both dynamic and static, some in fixed media, are listed among the paper resources. Amazingly a majority of listed electronic resources are free.

Author: Antonella Cupillari

Publisher: Academic Press

ISBN:

Category: Mathematics

Page: 283

View: 818

The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. New chapter on proof by contradiction New updated proofs A full range of accessible proofs Symbols indicating level of difficulty help students understand whether a problem is based on calculus or linear algebra Basic terminology list with definitions at the beginning of the text

Author: Jiri Herman

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 392

View: 275

This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.

Author: Robert Gerver

Publisher: IAP

ISBN:

Category: Mathematics

Page: 277

View: 419

Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their motivation and desire takes them. The features and benefits of the research paper process offer a natural alignment with all eight Common Core State Standards for Mathematical Practice. Writing Math Research Papers serves both as a text for students and as a resource for instructors and administrators. The Writing Math Research Papers program started at North Shore High School in 1991, and it received the 1997 Chevron Best Practices in Education Award as the premier high school math course in the United States. Author Robert Gerver's articles on high school mathematics research programs were featured in the National Council of Teachers of Mathematics publication Developing Mathematically Promising Students, the NCTM's 1999 Yearbook, Developing Mathematical Reasoning in Grades K – 12, and in the September 2017 issue of the Mathematics Teacher.

Author: Michael Th. Rassias

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 324

View: 858

The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).

Author: Eric W. Weisstein

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 3252

View: 351

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Author: Richard Guy

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 438

View: 505

Mathematics is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane's Online Encyclopedia of Integer Sequences, at the end of several of the sections.

Author: Daniel D. Bonar

Publisher: American Mathematical Soc.

ISBN:

Category:

Page: 261

View: 352

This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, and several fallacious proofs are made available. Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works on infinite series.

Author: Murray S. Klamkin

Publisher: SIAM

ISBN:

Category: Mathematics

Page: 588

View: 823

People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry.

Author: David J. Morin

Publisher: Independently Published

ISBN:

Category: Mathematics

Page: 210

View: 519

This book is a collection of 57 very challenging math problems with detailed solutions. It is written for anyone who enjoys pondering difficult problems for great lengths of time. The problems are mostly classics that have been around for ages. They are divided into four categories: General, Geometry, Probability, and Foundational, with the Probability section constituting roughly half the book. Many of the solutions contain extensions/variations of the given problems. In addition to the full solution, each problem comes with a hint. For the most part, algebra is the only formal prerequisite, although a few problems require calculus.Are you eager to tackle the Birthday Problem, Simpson's Paradox, the Game-Show Problem, the Boy/Girl Problem, the Hotel Problem, and of course the Green-Eyed Dragons? If so, this book is for you! You are encouraged to peruse the problems via either the Look Inside feature on Amazon, or the author's Harvard webpage (where all of the problems are posted), to gauge whether the level of difficulty is right for you.

Author:

Publisher:

ISBN:

Category: Theater

Page:

View: 739

Author: Hongwei Chen

Publisher: American Mathematical Soc.

ISBN:

Category: Mathematics

Page: 301

View: 567

Excursions in Classical Analysis will introduce students to advanced problem solving and undergraduate research in two ways: it will provide a tour of classical analysis, showcasing a wide variety of problems that are placed in historical context, and it will help students gain mastery of mathematical discovery and proof. The [Author]; presents a variety of solutions for the problems in the book. Some solutions reach back to the work of mathematicians like Leonhard Euler while others connect to other beautiful parts of mathematics. Readers will frequently see problems solved by using an idea that, at first glance, might not even seem to apply to that problem. Other solutions employ a specific technique that can be used to solve many different kinds of problems. Excursions emphasizes the rich and elegant interplay between continuous and discrete mathematics by applying induction, recursion, and combinatorics to traditional problems in classical analysis. The book will be useful in students' preparations for mathematics competitions, in undergraduate reading courses and seminars, and in analysis courses as a supplement. The book is also ideal for self study, since the chapters are independent of one another and may be read in any order.

Author: Loren C. Larson

Publisher: Springer

ISBN:

Category: Mathematics

Page: 352

View: 388

This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Author: Barry Brocas

Publisher: Ready-Ed Publications

ISBN:

Category: Mathematics

Page: 56

View: 305

Brain Benders 1 for Junior Primary Students is the first book in a series of three. It contains twenty-six photocopiable mathematical problems which are all curriculum linked. Some of the problems are more challenging than others, thus the book caters for a range of abilities wihtin the junior primary cohort. Each problem appears next to an answer page which not only provides the problem's solution but clearly explains the methods that can be used to arrive at the solution. In this way, the book is designed to not only test a wide range of methods to solve problems but to equip students with effective problem solving techniques and strategies which will help strengthen their mathematical skills.

Author: Sarah Foster

Publisher: Nelson Thornes

ISBN:

Category: Juvenile Nonfiction

Page: 144

View: 479

Addresses all the different strategies for problem-solving, ensuring your pupils from Years 1 to 6 become successful problem solvers. Includes the full range of problems: finding all possibilities; logic problems; finding rules and describing patterns; diagrams and visual puzzles. Provides clear links to the National Numeracy Strategy.