A Transition to Advanced Mathematics

  • Filename: a-transition-to-advanced-mathematics.
  • ISBN: 9781305177192
  • Release Date: 2014-08-01
  • Number of pages: 448
  • Author: Douglas Smith
  • Publisher: Cengage Learning

A TRANSITION TO ADVANCED MATHEMATICS helps students to bridge the gap between calculus and advanced math courses. The most successful text of its kind, the 8th 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. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

A Bridge to Advanced Mathematics

  • Filename: a-bridge-to-advanced-mathematics.
  • ISBN: 9780486277585
  • Release Date: 2013-05-20
  • Number of pages: 416
  • Author: Dennis Sentilles
  • Publisher: Courier Corporation

This helpful "bridge" book offers students the foundations they need to understand advanced mathematics, spanning the gap between practically oriented and theoretically orientated courses. Part 1 provides the most basic tools, examples, and motivation for the manner, method, and material of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning. 1975 edition.

Schaum s Outline of Advanced Mathematics for Engineers and Scientists

  • Filename: schaum-s-outline-of-advanced-mathematics-for-engineers-and-scientists.
  • ISBN: 0071702423
  • Release Date: 2009-12-18
  • Number of pages: 432
  • Author: Murray Spiegel
  • Publisher: McGraw Hill Professional

Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's. More than 40 million students have trusted Schaum's Outlines to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you: Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

Advanced Mathematics for Applications

  • Filename: advanced-mathematics-for-applications.
  • ISBN: 9781139492683
  • Release Date: 2011-01-06
  • Number of pages:
  • Author: Andrea Prosperetti
  • Publisher: Cambridge University Press

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.

Introduction to Advanced Mathematics A Guide to Understanding Proofs

  • Filename: introduction-to-advanced-mathematics-a-guide-to-understanding-proofs.
  • ISBN: 9780547165387
  • Release Date: 2011-01-01
  • Number of pages: 144
  • Author: Connie Campbell
  • Publisher: Cengage Learning

This text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents these concepts in plain English, with a focus on basic terminology and a conversational tone that draws natural parallels between the language of mathematics and the language students communicate in every day. The discussion highlights how symbols and expressions are the building blocks of statements and arguments, the meanings they convey, and why they are meaningful to mathematicians. In-class activities provide opportunities to practice mathematical reasoning in a live setting, and an ample number of homework exercises are included for self-study. This text is appropriate for a course in Foundations of Advanced Mathematics taken by students who’ve had a semester of calculus, and is designed to be accessible to students with a wide range of mathematical proficiency. It can also be used as a self-study reference, or as a supplement in other math courses where additional proofs practice is needed. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

A Transition to Advanced Mathematics

  • Filename: a-transition-to-advanced-mathematics.
  • ISBN: 0199718660
  • Release Date: 2009-07-27
  • Number of pages: 768
  • Author: William Johnston
  • Publisher: Oxford University Press

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.

Advanced Mathematics for Engineering and Science

  • Filename: advanced-mathematics-for-engineering-and-science.
  • ISBN: 9812382925
  • Release Date: 2003
  • Number of pages: 880
  • Author: Wenfang Chen
  • Publisher: World Scientific

The book comprises ten chapters, Each chapter contains serveral soved 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. Contents: Review of Calculus and Ordinary Differential Equations; Series Solutions and Special Functions; Complex Variables; Vector and Tensor Analysis; Partial Differential Equations I; Partial Differential Equations II; Numerical Methods; Numerical Solution of Partial Differential Equations; Calculus of Variations; Special Topics. Readership: Upper level undergraduates, graduate students and researchers in mathematical modeling, mathematical physics and numerical &computational mathematics.

Elements of Advanced Mathematics Third Edition

  • Filename: elements-of-advanced-mathematics-third-edition.
  • ISBN: 9781439898345
  • Release Date: 2012-03-19
  • Number of pages: 367
  • Author: Steven G. Krantz
  • Publisher: CRC Press

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.

Advanced Math

  • Filename: advanced-math.
  • ISBN: 0395461375
  • Release Date: 1988-06-01
  • Number of pages: 707
  • Author: Theodore E Brown
  • Publisher: Houghton Mifflin

Advanced Problems in Mathematics Preparing for University

  • Filename: advanced-problems-in-mathematics-preparing-for-university.
  • ISBN: 1783741422
  • Release Date: 2016-01-25
  • Number of pages: 188
  • Author: Stephen Siklos
  • Publisher: Open Book Publishers

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 Mathematics

  • Filename: advanced-mathematics.
  • ISBN: 9788122426854
  • Release Date: 2009
  • Number of pages: 324
  • Author: C. B. Gupta
  • Publisher: New Age International

About the Book: This book 'Advanced Mathematics' is primarily designed for B. Tech., IV Semester (EE and EC branch) students of Rajasthan Technical University. The subject matter is discussed in a lucid manner. The discussion is covered in five units: Unit.

Year 10 Advanced Mathematics

  • Filename: year-10-advanced-mathematics.
  • ISBN: 1741251265
  • Release Date: 2006
  • Number of pages: 166
  • Author: Lyn Baker
  • Publisher: Pascal Press

"Revises the NSW Year 10 Stage 5.3 Mathematics course"--Cover.

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