Starting Advanced Mathematics

The Essential Foundation

Author: Hugh Neill,Sarah Payne

Publisher: Cambridge University Press

ISBN: 9780521893565

Category: Juvenile Nonfiction

Page: 128

View: 1691


Starting Advanced Mathematics is a self-study guide for students who will be continuing their study of Mathematics after GCSE either to AS/A level or as part of the International Baccalaureate. It will enable students to consolidate the basic algebra and trigonometry skills that they will require during their study of advanced Mathematics. Other GCSE formulae and results that they may require during their post 16 studies are included for reference. The book is also a valuable revision aid for Higher Tier GCSE students who need more practice in Algebra and Trigonometry.

The Well-Trained Mind: A Guide to Classical Education at Home (Third Edition)

Author: Susan Wise Bauer,Jessie Wise

Publisher: W. W. Norton & Company

ISBN: 0393067084

Category: Education

Page: 814

View: 9659


A new edition of a forefront home-schooling reference shares step-by-step recommendations for providing a child with an academically rigorous, comprehensive education from preschool through high school, in a guide that incorporates updated resource listings, contact information, and Internet links. 20,000 first printing.

Advanced Mathematical Thinking

Author: David Tall

Publisher: Springer Science & Business Media

ISBN: 0306472031

Category: Education

Page: 292

View: 8049


This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.

Advanced Mathematical Thinking

A Special Issue of Mathematical Thinking and Learning

Author: Annie Selden,John Selden

Publisher: Routledge

ISBN: 1135478457

Category: Education

Page: 80

View: 9364


First Published in 2005. Routledge is an imprint of Taylor & Francis, an informa company.

Advanced Mathematics for Engineering and Science

Author: C F Chan Man Fong,D De Kee,P N Kaloni

Publisher: World Scientific Publishing Company

ISBN: 9813102357

Category: Science

Page: 896

View: 9838


This is a mathematical text suitable for students of engineering and science who are at the third year undergraduate level or beyond. It is a book of applicable mathematics. It avoids the approach of listing only the techniques, followed by a few examples, without explaining why the techniques work. Thus, it provides not only the know-how but also the know-why. Equally, the text has not been written as a book of pure mathematics with a list of theorems followed by their proofs. The authors' aim is to help students develop an understanding of mathematics and its applications. They have refrained from using clichés like “it is obvious” and “it can be shown”, which may be true only to a mature mathematician. On the whole, the authors have been generous in writing down all the steps in solving the example problems. The book comprises ten chapters. Each chapter contains several solved problems clarifying the introduced concepts. Some of the examples are taken from the recent literature and serve to illustrate the applications in various fields of engineering and science. At the end of each chapter, there are assignment problems with two levels of difficulty. A list of references is provided at the end of the book. This book is the product of a close collaboration between two mathematicians and an engineer. The engineer has been helpful in pinpointing the problems which engineering students encounter in books written by mathematicians.

A Bridge to Advanced Mathematics

Author: Dennis Sentilles

Publisher: Courier Corporation

ISBN: 0486277585

Category: Mathematics

Page: 416

View: 4321


This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.

A Transition to Advanced Mathematics

A Survey Course

Author: William Johnston,Alex McAllister

Publisher: OUP USA

ISBN: 0195310764

Category: Mathematics

Page: 745

View: 2314


A Transition to Advanced Mathematics promotes the goals of a ``bridge'' course in mathematics, helping to lead students from courses in the calculus sequence to theoretical upper-level mathematics courses. The text simultaneously promotes the goals of a ``survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics.

Elements of Advanced Mathematics, Third Edition

Author: Steven G. Krantz

Publisher: CRC Press

ISBN: 1439898359

Category: Mathematics

Page: 367

View: 7771


For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.

How to Think About Analysis

Author: Lara Alcock

Publisher: OUP Oxford

ISBN: 0191035386

Category: Mathematics

Page: 272

View: 4449


Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.

Advanced Mathematical Methods for Finance

Author: Julia Di Nunno,Bernt Øksendal

Publisher: Springer Science & Business Media

ISBN: 9783642184123

Category: Mathematics

Page: 536

View: 7318


This book presents innovations in the mathematical foundations of financial analysis and numerical methods for finance and applications to the modeling of risk. The topics selected include measures of risk, credit contagion, insider trading, information in finance, stochastic control and its applications to portfolio choices and liquidation, models of liquidity, pricing, and hedging. The models presented are based on the use of Brownian motion, Lévy processes and jump diffusions. Moreover, fractional Brownian motion and ambit processes are also introduced at various levels. The chosen blend of topics gives an overview of the frontiers of mathematics for finance. New results, new methods and new models are all introduced in different forms according to the subject. Additionally, the existing literature on the topic is reviewed. The diversity of the topics makes the book suitable for graduate students, researchers and practitioners in the areas of financial modeling and quantitative finance. The chapters will also be of interest to experts in the financial market interested in new methods and products. This volume presents the results of the European ESF research networking program Advanced Mathematical Methods for Finance.

Lectures on Advanced Mathematical Methods for Physicists

Author: Sunil Mukhi,N. Mukunda

Publisher: World Scientific

ISBN: 981429974X

Category: Electronic books

Page: 288

View: 6364


Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles.

A Transition to Advanced Mathematics

Author: Douglas Smith,Maurice Eggen,Richard St. Andre

Publisher: Cengage Learning

ISBN: 0495562025

Category: Mathematics

Page: 416

View: 7837


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.

Advanced Mathematics for Applied and Pure Sciences

Author: CF Chan Man Fong,D De Kee

Publisher: CRC Press

ISBN: 9789056996079

Category: Mathematics

Page: 904

View: 8606


Covers applicable mathematics that should provide a text, at the third year level and beyond, appropriate for both students of engineering and the pure sciences. The book is a product of close collaboration between two mathematicians and an engineer and it is of note that the engineer has been helpful in pinpointing the problems engineering students usually encounter in books written by mathematicians. Instead of just listing techniques and a few examples, or providing a list of theorems along with their proofs, it explains why the techniques work. The emphasis is on helping the student develop an understanding of mathematics and its applications.

Das BUCH der Beweise

Author: Martin Aigner,Günter M. Ziegler

Publisher: Springer-Verlag

ISBN: 3662064545

Category: Mathematics

Page: 247

View: 8785


Die elegantesten mathematischen Beweise, spannend und für jeden Interessierten verständlich. "Der Beweis selbst, seine Ästhetik, seine Pointe geht ins Geschichtsbuch der Königin der Wissenschaften ein. Ihre Anmut offenbart sich in dem gelungenen und geschickt illustrierten Buch." Die Zeit

The keys to advanced mathematics

recurrent themes in abstract reasoning

Author: Daniel Solow

Publisher: Books Unlimited

ISBN: 9780964451902

Category: Mathematics

Page: 476

View: 2885


Here is a unique book that reduces the time & frustration involved in learning virtually every college-level undergraduate mathematics course & is as appropriate for freshman as it is for seniors. Standard textbooks teach specific subject matter, but this book explains for the first time the underlying thinking processes used in all of these courses. This book is therefore suitable as a supplement & as a reference for all of the following courses: discrete mathematics, linear algebra, abstract algebra, real analysis, transition-to-advanced math courses, courses on proofs & mathematical reasoning, & many more. There is currently no book on the market like this. You will not be able to keep this book on the shelf, but do not take our word for it -- Ask the head of your math department about this book. Distributed by BookMasters Distribution Center, P.O. Box 388, 1444 St. Route 42, Ashland, OH 44805. Phone (800) 247-6553, FAX (419) 281-6883.

Jump-Starting Boys

Help Your Reluctant Learner Find Success in School and Life

Author: Pam Withers

Publisher: Simon and Schuster

ISBN: 1936740494

Category: Family & Relationships

Page: 248

View: 7100


Everyone knows that boys are falling behind in education. Largely left out of the discussion are parents of boys, who are most aware that their bright, eager sons hit an invisible wall somewhere near fourth grade, after which they become disengaged, discouraged, and disaffected. There are dozens of books on underachieving boys, but most parents brave enough to lift one off the shelf are instantly intimidated by the footnotes, graphs, case studies, and academic-speak addressed almost entirely to educators. What about the average guilt-ridden, frustrated mother or father of an underachieving boy? Jump-Starting Boys is the first book on the market that empowers parents, helping them reclaim the duties and rewards of raising their children and navigate the influences of school and media. Filled with reassurance and support, the authors turn fear and guilt into can-do confidence. Through easy tips and action list sidebars, this is the most practical, readable book on the topic.