Introduction to Mathematical Thinking PDF Download
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Author: Keith J. Devlin
Publisher:
ISBN: 9780615653631
Category : Mathematics
Languages : en
Pages : 0
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Book Description
"Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.
Author: Keith J. Devlin
Publisher:
ISBN: 9780615653631
Category : Mathematics
Languages : en
Pages : 0
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Book Description
"Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.
Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 0486131734
Category : Mathematics
Languages : en
Pages : 466
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Book Description
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
Author: Thomas A. Garrity
Publisher: 清华大学出版社有限公司
ISBN: 9787302090854
Category : Mathematics
Languages : en
Pages : 380
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Book Description
Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Category :
Languages : en
Pages : 342
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Book Description
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
Author: Alex Greer
Publisher: Nelson Thornes
ISBN: 9780748763047
Category : Juvenile Nonfiction
Languages : en
Pages : 498
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Book Description
Certificate Mathematics is a two-year revision course for students following the General Proficiency Syllabus in Mathematics of the Caribbean Examinations Council. It provides a programme for thorough review and consolidation of all the basic aspects of mathematics needed for success in the examination. The fourth edition of this extremely popular and successful textbook. Takes account of the latest changes to the CXC syllabuses. Incorporates a very large number of graded exercises to help student's "learn by doing". Includes chapter summaries and points to remember that enhance the usefulness of the book for consolidation and revision. Contains specimen tests in preparation for the multiple choice and long answer papers of the CXC examination. Used systematically, Certificate Mathematics will provide students with a firm foundation for success in their CXC mathematics examinations.
Author: Michael F. Petras
Publisher: Createspace Independent Publishing Platform
ISBN: 9781533107725
Category :
Languages : en
Pages : 456
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Book Description
A unified approach to mathematics covering all of the major topics from simple counting through calculus, including an introduction to differential equations. Starting with counting, all of the operations of arithmetic and the corresponding systems of numbers are developed as a single, interconnected framework. This framework is then used as a foundation for the construction of algebra and calculus. Each new topic is introduced as a logical extension of the topics that came before it, and is developed thoroughly and rigorously with the reader as if it was being invented for the first time. Although it is assumed that the reader is familiar with arithmetic and has had some exposure to algebra, proficiency with mathematics is not required. The conversational style and step-by-step approach make it easy to follow the flow of ideas, and numerous exercises sprinkled throughout allow readers to test their understanding before proceeding to the next topic. Among the topics covered are the additive and positional number systems, the operations of arithmetic, integer and non-integer exponents, fractions, rational and irrational numbers, real and complex numbers, algebraic solutions of equations, simultaneous equations, graphs and graphical solutions of equations, constructing polynomial equations from data, finding roots of polynomial equations, functions and inverse functions, differential calculus including the sum, product, and chain rules, integral calculus including proper and improper integrals, and an introduction to ordinary and partial differential equations, with applications to the physical sciences. Problems at the ends of the chapters, along with their solutions, provide the opportunity to practice methods discussed in the text, and explore important topics in more depth. The choice of subject matter and method of presentation makes this an ideal text for a high school or college level course, or as a self-teaching guide for the general reader interested in developing a deeper understanding of mathematics.
Author: Robert A. Adams
Publisher: Don Mills, Ont. : Addison-Wesley Publishers
ISBN: 9780201828238
Category : Calculus
Languages : en
Pages : 999
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Book Description
Author: Hugh Neill
Publisher: Teach Yourself
ISBN: 1444191136
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.
Author: John S. Rose
Publisher: Courier Corporation
ISBN: 0486170667
Category : Mathematics
Languages : en
Pages : 322
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Book Description
Text for advanced courses in group theory focuses on finite groups, with emphasis on group actions. Explores normal and arithmetical structures of groups as well as applications. 679 exercises. 1978 edition.
Author: B.K. Singh
Publisher: Goyal Brothers Prakashan
ISBN: 8194465257
Category : Juvenile Nonfiction
Languages : en
Pages : 488
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Book Description
The revised edition of the book entitled A Complete Course in Mathematics for Class IX has been written strictly according to the latest Syllabus & Examination Pattern prescribed by CBSE,New Delhi for the academic year 2022-23 and onwards. Efforts have been made to present the subject matter in a manner that after reading this book,even students of average or below average caliber would not face any difficulty in passing the examinations with flying colours. Plenty of Case Study Based Questions, which are an integral part of the new examination pattern, have also been incorporated. Some Salient Features of the Book are: • The book is strictly according to the latest syllabus prescribed by the CBSE for the academic year 2022-23. • The text (Definitions, Concepts, Theorems, etc.} has been explained systematically and logically by giving ample number of variety of Solved Examples and Exercises. • All the difficult questions (from NCERT, NCERT Exemplar and other parallel books} have been either solved or provided with the Hints. • Author's Tip to highlight important points have been given. • Handy Hints, wherever required, have been incorporated. • Multiple Choice Questions (MCQs) have been added for better understanding of the lesson. • Synopsis to recapitulate the main concepts learnt in the chapter has been given. • Chapter-wise Self Evaluation Tests-have been given to revise the whole chapter at one go. • In each chapter, Case Study Based Questions have been given. • Video Lectures (through QR codes) by the author provide the solutions of difficult questions. I would like to extend my gratitude to entire Goyal Brothers Prakashan Editorial team and IT team. Editorial team's suggestions and contributions have helped me in bringing out this edition of the book in such an excellent form. I have tried my best to keep the book free from mistakes or errors. Still I will be grateful to the readers who point out any error and omission which, in spite of all care, might have inadvertently crept in. It is hoped that this book will meet the requirements of the students, teachers and parents alike. Suggestions and constructive criticism for the improvement of the book will be highly appreciated. You may send your concerns and/or valuable inputs. B K Singh Cell-9717272737 Email:
[email protected]
