Easy as p?

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387985213
Total Pages : 210 pages
Book Rating : 4.9/5 (852 download)

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Book Synopsis Easy as p? by : Oleg A. Ivanov

Download or read book Easy as p? written by Oleg A. Ivanov and published by Springer Science & Business Media. This book was released on 1999 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction for readers with some high school mathematics to both the higher and the more fundamental developments of the basic themes of elementary mathematics. Chapters begin with a series of elementary problems, cleverly concealing more advanced mathematical ideas. These are then made explicit and further developments explored, thereby deepending and broadening the readers' understanding of mathematics. The text arose from a course taught for several years at St. Petersburg University, and nearly every chapter ends with an interesting commentary on the relevance of its subject matter to the actual classroom setting. However, it may be recommended to a much wider readership; even the professional mathematician will derive much pleasureable instruction from it.

An Accompaniment to Higher Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461239982
Total Pages : 212 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Accompaniment to Higher Mathematics by : George R. Exner

Download or read book An Accompaniment to Higher Mathematics written by George R. Exner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for students preparing to engage in their first struggles to understand and write proofs and to read mathematics independently, this is well suited as a supplementary text in courses on introductory real analysis, advanced calculus, abstract algebra, or topology. The book teaches in detail how to construct examples and non-examples to help understand a new theorem or definition; it shows how to discover the outline of a proof in the form of the theorem and how logical structures determine the forms that proofs may take. Throughout, the text asks the reader to pause and work on an example or a problem before continuing, and encourages the student to engage the topic at hand and to learn from failed attempts at solving problems. The book may also be used as the main text for a "transitions" course bridging the gap between calculus and higher mathematics. The whole concludes with a set of "Laboratories" in which students can practice the skills learned in the earlier chapters on set theory and function theory.

A Bridge to Higher Mathematics

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Publisher : CRC Press
ISBN 13 : 1498775276
Total Pages : 213 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis A Bridge to Higher Mathematics by : Valentin Deaconu

Download or read book A Bridge to Higher Mathematics written by Valentin Deaconu and published by CRC Press. This book was released on 2016-12-19 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought. The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems. The emphasis is on proof. To progress towards mathematical maturity, it is necessary to be trained in two aspects: the ability to read and understand a proof and the ability to write a proof. The journey begins with elements of logic and techniques of proof, then with elementary set theory, relations and functions. Peano axioms for positive integers and for natural numbers follow, in particular mathematical and other forms of induction. Next is the construction of integers including some elementary number theory. The notions of finite and infinite sets, cardinality of counting techniques and combinatorics illustrate more techniques of proof. For more advanced readers, the text concludes with sets of rational numbers, the set of reals and the set of complex numbers. Topics, like Zorn’s lemma and the axiom of choice are included. More challenging problems are marked with a star. All these materials are optional, depending on the instructor and the goals of the course.

Higher Mathematics for Physics and Engineering

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Publisher : Springer Science & Business Media
ISBN 13 : 3540878645
Total Pages : 693 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Higher Mathematics for Physics and Engineering by : Hiroyuki Shima

Download or read book Higher Mathematics for Physics and Engineering written by Hiroyuki Shima and published by Springer Science & Business Media. This book was released on 2010-04-12 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures of important subjects in these fields are fully covered, which will be helpful for readers to become acquainted with certain abstract mathematical concepts. The selected topics are: - Real analysis, Complex analysis, Functional analysis, Lebesgue integration theory, Fourier analysis, Laplace analysis, Wavelet analysis, Differential equations, and Tensor analysis. This book is essentially self-contained, and assumes only standard undergraduate preparation such as elementary calculus and linear algebra. It is thus well suited for graduate students in physics and engineering who are interested in theoretical backgrounds of their own fields. Further, it will also be useful for mathematics students who want to understand how certain abstract concepts in mathematics are applied in a practical situation. The readers will not only acquire basic knowledge toward higher-level mathematics, but also imbibe mathematical skills necessary for contemporary studies of their own fields.

A Textbook of Higher Mathematics

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Publisher :
ISBN 13 : 9788173816161
Total Pages : 0 pages
Book Rating : 4.8/5 (161 download)

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Book Synopsis A Textbook of Higher Mathematics by : Bholanath Sen

Download or read book A Textbook of Higher Mathematics written by Bholanath Sen and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self contained insightful text with an emphasis on mathematical exposition. Here a large number of examples have been worked out with step by step details and realistic applications.

Bridge to Higher Mathematics

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Publisher : Lulu.com
ISBN 13 : 055750337X
Total Pages : 258 pages
Book Rating : 4.5/5 (575 download)

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Book Synopsis Bridge to Higher Mathematics by : Sam Vandervelde

Download or read book Bridge to Higher Mathematics written by Sam Vandervelde and published by Lulu.com. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.

Transition to Higher Mathematics

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Publisher : McGraw-Hill Education
ISBN 13 : 9780071106474
Total Pages : 0 pages
Book Rating : 4.1/5 (64 download)

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Book Synopsis Transition to Higher Mathematics by : Bob A. Dumas

Download or read book Transition to Higher Mathematics written by Bob A. Dumas and published by McGraw-Hill Education. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for students who have taken calculus and want to learn what "real mathematics" is.

Higher Mathematics

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Publisher :
ISBN 13 : 9781410202673
Total Pages : 316 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Higher Mathematics by : I. Suvorov

Download or read book Higher Mathematics written by I. Suvorov and published by . This book was released on 2002-09-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by an experienced Soviet teacher, Candidate of Physico-mathematical sciences, I. F. Suvorov, this text represents a concise course in higher mathematics, with problems and exercises arranged in the same sequence as the theoretical material. It is designed for intermediate and higher educational institutions with short courses of mathematics and also for self-instruction.

Laboratories in Mathematical Experimentation

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387949222
Total Pages : 308 pages
Book Rating : 4.9/5 (492 download)

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Book Synopsis Laboratories in Mathematical Experimentation by : Mount Holyoke College

Download or read book Laboratories in Mathematical Experimentation written by Mount Holyoke College and published by Springer Science & Business Media. This book was released on 1997-03 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text is composed of a set of sixteen laboratory investigations which allow the student to explore rich and diverse ideas and concepts in mathematics. The approach is hands-on, experimental, an approach that is very much in the spirit of modern pedagogy. The course is typically offered in one semester, at the sophomore (second year) level of college. It requires completion of one year of calculus. The course provides a transition to the study of higher, abstract mathematics. The text is written independent of any software. Supplements will be available on the projects' web site.

Advanced Mathematics

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Publisher : John Wiley & Sons
ISBN 13 : 1119563534
Total Pages : 556 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Advanced Mathematics by : Stanley J. Farlow

Download or read book Advanced Mathematics written by Stanley J. Farlow and published by John Wiley & Sons. This book was released on 2019-10-02 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a smooth and pleasant transition from first-year calculus to upper-level mathematics courses in real analysis, abstract algebra and number theory Most universities require students majoring in mathematics to take a “transition to higher math” course that introduces mathematical proofs and more rigorous thinking. Such courses help students be prepared for higher-level mathematics course from their onset. Advanced Mathematics: A Transitional Reference provides a “crash course” in beginning pure mathematics, offering instruction on a blendof inductive and deductive reasoning. By avoiding outdated methods and countless pages of theorems and proofs, this innovative textbook prompts students to think about the ideas presented in an enjoyable, constructive setting. Clear and concise chapters cover all the essential topics students need to transition from the "rote-orientated" courses of calculus to the more rigorous "proof-orientated” advanced mathematics courses. Topics include sentential and predicate calculus, mathematical induction, sets and counting, complex numbers, point-set topology, and symmetries, abstract groups, rings, and fields. Each section contains numerous problems for students of various interests and abilities. Ideally suited for a one-semester course, this book: Introduces students to mathematical proofs and rigorous thinking Provides thoroughly class-tested material from the authors own course in transitioning to higher math Strengthens the mathematical thought process of the reader Includes informative sidebars, historical notes, and plentiful graphics Offers a companion website to access a supplemental solutions manual for instructors Advanced Mathematics: A Transitional Reference is a valuable guide for undergraduate students who have taken courses in calculus, differential equations, or linear algebra, but may not be prepared for the more advanced courses of real analysis, abstract algebra, and number theory that await them. This text is also useful for scientists, engineers, and others seeking to refresh their skills in advanced math.

A Course of Higher Mathematics

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Publisher :
ISBN 13 :
Total Pages : 1050 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis A Course of Higher Mathematics by : Vladimir Ivanovich Smirnov

Download or read book A Course of Higher Mathematics written by Vladimir Ivanovich Smirnov and published by . This book was released on 1964 with total page 1050 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Bridge, A: An Intuitive Journey In Higher Mathematics (2nd Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813101245
Total Pages : 672 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Mathematical Bridge, A: An Intuitive Journey In Higher Mathematics (2nd Edition) by : Stephen Fletcher Hewson

Download or read book Mathematical Bridge, A: An Intuitive Journey In Higher Mathematics (2nd Edition) written by Stephen Fletcher Hewson and published by World Scientific Publishing Company. This book was released on 2009-01-20 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.

A Transition to Advanced Mathematics

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Publisher : Oxford University Press
ISBN 13 : 0199718660
Total Pages : 766 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis A Transition to Advanced Mathematics by : William Johnston

Download or read book A Transition to Advanced Mathematics written by William Johnston and published by Oxford University Press. This book was released on 2009-07-27 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Transition to Advanced Mathematics: A Survey Course promotes the goals of a "bridge'' course in mathematics, helping to lead students from courses in the calculus sequence (and other courses where they solve problems that involve mathematical calculations) to theoretical upper-level mathematics courses (where they will have to prove theorems and grapple with mathematical abstractions). The text simultaneously promotes the goals of a ``survey'' course, describing the intriguing questions and insights fundamental to many diverse areas of mathematics, including Logic, Abstract Algebra, Number Theory, Real Analysis, Statistics, Graph Theory, and Complex Analysis. The main objective is "to bring about a deep change in the mathematical character of students -- how they think and their fundamental perspectives on the world of mathematics." This text promotes three major mathematical traits in a meaningful, transformative way: to develop an ability to communicate with precise language, to use mathematically sound reasoning, and to ask probing questions about mathematics. In short, we hope that working through A Transition to Advanced Mathematics encourages students to become mathematicians in the fullest sense of the word. A Transition to Advanced Mathematics has a number of distinctive features that enable this transformational experience. Embedded Questions and Reading Questions illustrate and explain fundamental concepts, allowing students to test their understanding of ideas independent of the exercise sets. The text has extensive, diverse Exercises Sets; with an average of 70 exercises at the end of section, as well as almost 3,000 distinct exercises. In addition, every chapter includes a section that explores an application of the theoretical ideas being studied. We have also interwoven embedded reflections on the history, culture, and philosophy of mathematics throughout the text.

Foundations of Higher Mathematics

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Publisher : Addison Wesley
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Foundations of Higher Mathematics by : Daniel M. Fendel

Download or read book Foundations of Higher Mathematics written by Daniel M. Fendel and published by Addison Wesley. This book was released on 1990 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Higher Mathematics: Exploration and Proof is the ideal text to bridge the crucial gap between the standard calculus sequence and upper division mathematics courses. The book takes a fresh approach to the subject: it asks students to explore mathematical principles on their own and challenges them to think like mathematicians. Two unique features-an exploration approach to mathematics and an intuitive and integrated presentation of logic based on predicate calculus-distinguish the book from the competition. Both features enable students to own the mathematics they're working on. As a result, your students develop a stronger motivation to tackle upper-level courses and gain a deeper understanding of concepts presented.

Maths in Action - Advanced Higher Mathematics 2

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Publisher : Nelson Thornes
ISBN 13 : 9780174315421
Total Pages : 172 pages
Book Rating : 4.3/5 (154 download)

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Book Synopsis Maths in Action - Advanced Higher Mathematics 2 by : Edward C. K. Mullan

Download or read book Maths in Action - Advanced Higher Mathematics 2 written by Edward C. K. Mullan and published by Nelson Thornes. This book was released on 2001 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a series of five books each covering a separate unit of the Advanced Higher course. This unit structure gives you the flexibility to put together a complete course or to offer separate units of study.

Higher Mathematics

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Publisher :
ISBN 13 :
Total Pages : 618 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Higher Mathematics by : Mansfield Merriman

Download or read book Higher Mathematics written by Mansfield Merriman and published by . This book was released on 1898 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Higher Mathematics

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Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Higher Mathematics by : Mansfield Merriman

Download or read book Higher Mathematics written by Mansfield Merriman and published by . This book was released on 1902 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: