Advanced Problems In Mathematics

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Advanced Problems in Mathematics

Author : Stephen Siklos
Publisher :
ISBN 13 : 9781783747764
Total Pages : 188 pages
Book Rating : 4.7/5 (477 download)

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Book Synopsis Advanced Problems in Mathematics by : Stephen Siklos

Download or read book Advanced Problems in Mathematics written by Stephen Siklos and published by . This book was released on 2019-10-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Problems in Mathematics: Preparing for University

Author : Stephen Siklos
Publisher : Open Book Publishers
ISBN 13 : 9781783741427
Total Pages : 188 pages
Book Rating : 4.7/5 (414 download)

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Book Synopsis Advanced Problems in Mathematics: Preparing for University by : Stephen Siklos

Download or read book Advanced Problems in Mathematics: Preparing for University written by Stephen Siklos and published by Open Book Publishers. This book was released on 2016-01-25 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book 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 as the basis for conditional offers. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. 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 anybody interested in advanced mathematics.

Advanced Problems in Mathematics

Author : S. T. C. Siklos
Publisher :
ISBN 13 : 9781783741458
Total Pages : pages
Book Rating : 4.7/5 (414 download)

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Book Synopsis Advanced Problems in Mathematics by : S. T. C. Siklos

Download or read book Advanced Problems in Mathematics written by S. T. C. Siklos and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. 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."--Open Textbook Library.

Mathematics Problem-Solving Challenges for Secondary School Students and Beyond

Author : David Linker
Publisher : World Scientific
ISBN 13 : 981473005X
Total Pages : 196 pages
Book Rating : 4.8/5 (147 download)

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Book Synopsis Mathematics Problem-Solving Challenges for Secondary School Students and Beyond by : David Linker

Download or read book Mathematics Problem-Solving Challenges for Secondary School Students and Beyond written by David Linker and published by World Scientific. This book was released on 2016-02-25 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Contents:Arithmetic and LogicAlgebraGeometryTrigonometryLogarithmsCountingNumber TheoryProbabilityFunctional Equations Readership: High school students, teachers and general public interested in exciting mathematics problems.

Challenging Problems in Algebra

Author : Alfred S. Posamentier
Publisher : Courier Corporation
ISBN 13 : 0486131548
Total Pages : 288 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Challenging Problems in Algebra by : Alfred S. Posamentier

Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

A Problems Based Course in Advanced Calculus

Author : John M. Erdman
Publisher : American Mathematical Soc.
ISBN 13 : 1470442469
Total Pages : 360 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Problems Based Course in Advanced Calculus by : John M. Erdman

Download or read book A Problems Based Course in Advanced Calculus written by John M. Erdman and published by American Mathematical Soc.. This book was released on 2018-07-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is suitable for a course in advanced calculus that promotes active learning through problem solving. It can be used as a base for a Moore method or inquiry based class, or as a guide in a traditional classroom setting where lectures are organized around the presentation of problems and solutions. This book is appropriate for any student who has taken (or is concurrently taking) an introductory course in calculus. The book includes sixteen appendices that review some indispensable prerequisites on techniques of proof writing with special attention to the notation used the course.

Open Problems in Mathematics

Author : John Forbes Nash, Jr.
Publisher : Springer
ISBN 13 : 3319321625
Total Pages : 543 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Open Problems in Mathematics by : John Forbes Nash, Jr.

Download or read book Open Problems in Mathematics written by John Forbes Nash, Jr. and published by Springer. This book was released on 2016-07-05 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Problem-Solving Strategies

Author : Arthur Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 403 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Challenging Problem in Maths For JEE Advanced

Author : Career Point Kota
Publisher : Career Point Publication
ISBN 13 : 938626093X
Total Pages : 408 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Challenging Problem in Maths For JEE Advanced by : Career Point Kota

Download or read book Challenging Problem in Maths For JEE Advanced written by Career Point Kota and published by Career Point Publication. This book was released on 2020-09-16 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this book is to help students develop command over fundamentals and their application through challenging questions. In this book, only those problems have been selected, which in the opinion of Career Point Faculty team, are most important for mastering application of concepts. This book covers a variety of questions asked in the IIT JEE examination ~ be it MCQ (One or More than One correct choice), Numeric Response Type, Matrix match type, paragraph based questions etc. A mix of questions helps stimulate and strengthen question-solving skills of the student. The majority of questions are not easy; some of them are definitely difficult. We believe if you solve these questions on your own, you will achieve a higher degree of understanding of concepts. We would like to suggest that you should attempt this book only after you complete a chapter. This book is also used by Lakshya Batch students of Career Point to give a finishing touch to their preparation for JEE-Advanced Exam. We hope this book would immensely help genuine, hardworking students in sharpening their questions solving skills enabling them to achieve a seat in most prestigious colleges. We take this opportunity to express our deepest appreciation to CP Publishing team, who helped in the editing of the book. We will greatly appreciate if the users of this book will let us know about any errors or misprints that they may happen to encounter. We will incorporate the same in the subsequent editions. This book covers the complete Maths course for JEE Advanced.

Problem-Solving Through Problems

Author : Loren C. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 352 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Problem-Solving Through Problems by : Loren C. Larson

Download or read book Problem-Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Calculus

Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus by : Lynn Harold Loomis

Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Advanced Problem Solving with Maple

Author : William P. Fox
Publisher : CRC Press
ISBN 13 : 0429891342
Total Pages : 253 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Advanced Problem Solving with Maple by : William P. Fox

Download or read book Advanced Problem Solving with Maple written by William P. Fox and published by CRC Press. This book was released on 2019-05-29 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem Solving is essential to solve real-world problems. Advanced Problem Solving with Maple: A First Course applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. It is intended for a course introducing students to mathematical topics they will revisit within their further studies. The authors present mathematical modeling and problem-solving topics using Maple as the computer algebra system for mathematical explorations, as well as obtaining plots that help readers perform analyses. The book presents cogent applications that demonstrate an effective use of Maple, provide discussions of the results obtained using Maple, and stimulate thought and analysis of additional applications. Highlights: The book’s real-world case studies prepare the student for modeling applications Bridges the study of topics and applications to various fields of mathematics, science, and engineering Features a flexible format and tiered approach offers courses for students at various levels The book can be used for students with only algebra or calculus behind them About the authors: Dr. William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his Ph.D. at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles. William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).

Advanced Mathematics for Applications

Author : Andrea Prosperetti
Publisher : Cambridge University Press
ISBN 13 : 1139492683
Total Pages : 743 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Advanced Mathematics for Applications by : Andrea Prosperetti

Download or read book Advanced Mathematics for Applications written by Andrea Prosperetti and published by Cambridge University Press. This book was released on 2011-01-06 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.

Advanced Problem Solving Using Maple

Author : William P Fox
Publisher : CRC Press
ISBN 13 : 0429891318
Total Pages : 325 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Advanced Problem Solving Using Maple by : William P Fox

Download or read book Advanced Problem Solving Using Maple written by William P Fox and published by CRC Press. This book was released on 2020-11-09 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Problem Solving Using MapleTM: Applied Mathematics, Operations Research, Business Analytics, and Decision Analysis applies the mathematical modeling process by formulating, building, solving, analyzing, and criticizing mathematical models. Scenarios are developed within the scope of the problem-solving process. The text focuses on discrete dynamical systems, optimization techniques, single-variable unconstrained optimization and applied problems, and numerical search methods. Additional coverage includes multivariable unconstrained and constrained techniques. Linear algebra techniques to model and solve problems such as the Leontief model, and advanced regression techniques including nonlinear, logistics, and Poisson are covered. Game theory, the Nash equilibrium, and Nash arbitration are also included. Features: The text’s case studies and student projects involve students with real-world problem solving Focuses on numerical solution techniques in dynamical systems, optimization, and numerical analysis The numerical procedures discussed in the text are algorithmic and iterative Maple is utilized throughout the text as a tool for computation and analysis All algorithms are provided with step-by-step formats About the Authors: William P. Fox is an emeritus professor in the Department of Defense Analysis at the Naval Postgraduate School. Currently, he is an adjunct professor, Department of Mathematics, the College of William and Mary. He received his PhD at Clemson University and has many publications and scholarly activities including twenty books and over one hundred and fifty journal articles. William C. Bauldry, Prof. Emeritus and Adjunct Research Prof. of Mathematics at Appalachian State University, received his PhD in Approximation Theory from Ohio State. He has published many papers on pedagogy and technology, often using Maple, and has been the PI of several NSF-funded projects incorporating technology and modeling into math courses. He currently serves as Associate Director of COMAP’s Math Contest in Modeling (MCM).

Intriguing Mathematical Problems

Author : Oswald Jacoby
Publisher : Courier Corporation
ISBN 13 : 0486168360
Total Pages : 208 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Intriguing Mathematical Problems by : Oswald Jacoby

Download or read book Intriguing Mathematical Problems written by Oswald Jacoby and published by Courier Corporation. This book was released on 2013-05-23 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Transition to Advanced Mathematics

Author : Douglas Smith
Publisher : Cengage Learning
ISBN 13 : 9780495562023
Total Pages : 416 pages
Book Rating : 4.5/5 (62 download)

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Book Synopsis A Transition to Advanced Mathematics by : Douglas Smith

Download or read book A Transition to Advanced Mathematics written by Douglas Smith and published by Cengage Learning. This book was released on 2010-06-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A TRANSITION TO ADVANCED MATHEMATICS helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving students' ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they'll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Physics Galaxy 2020-21

Author : Ashish Arora
Publisher : G.K Publications Pvt.Limited
ISBN 13 : 9788193975633
Total Pages : 448 pages
Book Rating : 4.9/5 (756 download)

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Book Synopsis Physics Galaxy 2020-21 by : Ashish Arora

Download or read book Physics Galaxy 2020-21 written by Ashish Arora and published by G.K Publications Pvt.Limited. This book was released on 2020-11-24 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Illustrations in Physics by seasoned expert Ashish Arora is a valuable asset for the Advanced Illustrations in Physics by seasoned expert Ashish Arora is a valuable asset for the aspirants of JEE Advanced examination. The book covers more than 700 advanced problems with illustrations. Detailed explanations have been included with video solutions so that students are able to grasp the fundamental examination edge of JEE Advanced. Every illustration is based on specific experimental analysis and practical situations from real life, so that students can understand how questions are framed in competitive exams. All illustrations are divided in several topics covering the syllabus of Advanced Physics for JEE. Features 700+ advanced problems illustrated with explanations Practical problems included from real life Video solutions included to help students grasp concepts better