Higher Math for Beginners

Higher Math for Beginners PDF Author: Y. B. Zeldovich
Publisher: Prentice Hall
ISBN: 9780133876482
Category : Mathematics
Languages : en
Pages : 560

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Book Description

Higher Math for Beginners

Higher Math for Beginners PDF Author: Y. B. Zeldovich
Publisher: Prentice Hall
ISBN: 9780133876482
Category : Mathematics
Languages : en
Pages : 560

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Book Description


A Gateway to Higher Mathematics

A Gateway to Higher Mathematics PDF Author: Jason H. Goodfriend
Publisher: Jones & Bartlett Learning
ISBN: 9780763727338
Category : Computers
Languages : en
Pages : 346

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Book Description
A Gateway to Higher Mathematics integrates the process of teaching students how to do proofs into the framework of displaying the development of the real number system. The text eases the students into learning how to construct proofs, while preparing students how to cope with the type of proofs encountered in the higher-level courses of abstract algebra, analysis, and number theory. After using this text, the students will not only know how to read and construct proofs, they will understand much about the basic building blocks of mathematics. The text is designed so that the professor can choose the topics to be emphasized, while leaving the remainder as a reference for the students.

Easy as p?

Easy as p? PDF Author: Oleg A. Ivanov
Publisher: Springer Science & Business Media
ISBN: 9780387985213
Category : Mathematics
Languages : en
Pages : 210

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Book Description
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.

A Bridge to Higher Mathematics

A Bridge to Higher Mathematics PDF Author: Valentin Deaconu
Publisher: CRC Press
ISBN: 1498775276
Category : Mathematics
Languages : en
Pages : 213

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Book Description
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.

Bridge to Higher Mathematics

Bridge to Higher Mathematics PDF Author: Sam Vandervelde
Publisher: Lulu.com
ISBN: 055750337X
Category : Education
Languages : en
Pages : 258

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Book Description
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.

Real Analysis

Real Analysis PDF Author: N. L. Carothers
Publisher: Cambridge University Press
ISBN: 9780521497565
Category : Mathematics
Languages : en
Pages : 420

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Book Description
A text for a first graduate course in real analysis for students in pure and applied mathematics, statistics, education, engineering, and economics.

Towards Higher Mathematics: A Companion

Towards Higher Mathematics: A Companion PDF Author: Richard Earl
Publisher: Cambridge University Press
ISBN: 1107162386
Category : Mathematics
Languages : en
Pages : 545

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Book Description
This book allows students to stretch their mathematical abilities and bridges the gap between school and university.

Transition to Higher Mathematics

Transition to Higher Mathematics PDF Author: Bob A. Dumas
Publisher: McGraw-Hill Education
ISBN: 9780071106474
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0

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Book Description
This book is written for students who have taken calculus and want to learn what "real mathematics" is.

All the Mathematics You Missed

All the Mathematics You Missed PDF 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


Higher Mathematics for Engineering and Technology

Higher Mathematics for Engineering and Technology PDF Author: Mahir M. Sabzaliev
Publisher: CRC Press
ISBN: 1351397109
Category : Mathematics
Languages : en
Pages : 239

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Book Description
Based on and enriched by the long-term teaching experience of the authors, this volume covers the major themes of mathematics in engineering and technical specialties. The book addresses the elements of linear algebra and analytic geometry, differential calculus of a function of one variable, and elements of higher algebra. On each theme the authors first present short theoretical overviews and then go on to give problems to be solved. The authors provide the solutions to some typical, relatively difficult problems and guidelines for solving them. The authors consider the development of the self-dependent thinking ability of students in the construction of problems and indicate which problems are relatively difficult. The book is geared so that some of the problems presented can be solved in class, and others are meant to be solved independently. An extensive, explanatory solution of at least one typical problem is included, with emphasis on applications, formulas, and rules. This volume is primarily addressed to advanced students of engineering and technical specialties as well as to engineers/technicians and instructors of mathematics. Key features: Presents the theoretical background necessary for solving problems, including definitions, rules, formulas, and theorems on the particular theme Provides an extended solution of at least one problem on every theme and guidelines for solving some difficult problems Selects problems for independent study as well as those for classroom time, taking into account the similarity of both sets of problems Differentiates relatively difficult problems from others for those who want to study mathematics more deeply Provides answers to the problems within the text rather than at the back of the book, enabling more direct verification of problem solutions Presents a selection of problems and solutions that are very interesting not only for the students but also for professor-teacher staff