Mastering Advanced Pure Mathematics
Mastering Advanced Pure Mathematics

Author: Geoff Buckwell

Publisher: Bloomsbury Publishing

Published: 1996-11-11

Total Pages: 392

ISBN-13: 1349135518

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Mastering Advanced Pure Mathematics is not just another A-Level textbook. It contains full explanations so that it can be used in the classroom or at home as a support in the study of a wide range of syllabuses based on the common core 'A' level topic list. Throughout the book there are: - 'Do you know?' sections which contain brief reminders of ideas which will enable the reader to continue without any problems - 'Memory Joggers' to reinforce learning and understanding - 'Exercises' which are divided into straightforward type questions, and more complex examination questions, to be tackled once the reader has worked through most of the book once - 'Activities' to broaden knowledge.

Advanced Problems in Mathematics
Advanced Problems in Mathematics

Author: Stephen Siklos

Publisher:

Published: 2019-10-16

Total Pages: 188

ISBN-13: 9781783747764

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This new and expanded edition 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 for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and 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 anyone interested in advanced mathematics.

Advanced Calculus (Revised Edition)
Advanced Calculus (Revised Edition)

Author: Lynn Harold Loomis

Publisher: World Scientific Publishing Company

Published: 2014-02-26

Total Pages: 595

ISBN-13: 9814583952

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An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Pure Mathematics for Beginners
Pure Mathematics for Beginners

Author: Steve Warner

Publisher:

Published: 2018-09-25

Total Pages: 262

ISBN-13: 9780999811757

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Pure Mathematics for Beginners Pure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra. The 16 lessons in this book cover basic through intermediate material from each of these 8 topics. In addition, all the proofwriting skills that are essential for advanced study in mathematics are covered and reviewed extensively. Pure Mathematics for Beginners is perfect for professors teaching an introductory college course in higher mathematics high school teachers working with advanced math students students wishing to see the type of mathematics they would be exposed to as a math major. The material in this pure math book includes: 16 lessons in 8 subject areas. A problem set after each lesson arranged by difficulty level. A complete solution guide is included as a downloadable PDF file. Pure Math Book Table Of Contents (Selected) Here's a selection from the table of contents: Introduction Lesson 1 - Logic: Statements and Truth Lesson 2 - Set Theory: Sets and Subsets Lesson 3 - Abstract Algebra: Semigroups, Monoids, and Groups Lesson 4 - Number Theory: Ring of Integers Lesson 5 - Real Analysis: The Complete Ordered Field of Reals Lesson 6 - Topology: The Topology of R Lesson 7 - Complex Analysis: The field of Complex Numbers Lesson 8 - Linear Algebra: Vector Spaces Lesson 9 - Logic: Logical Arguments Lesson 10 - Set Theory: Relations and Functions Lesson 11 - Abstract Algebra: Structures and Homomorphisms Lesson 12 - Number Theory: Primes, GCD, and LCM Lesson 13 - Real Analysis: Limits and Continuity Lesson 14 - Topology: Spaces and Homeomorphisms Lesson 15 - Complex Analysis: Complex Valued Functions Lesson 16 - Linear Algebra: Linear Transformations

Mastering Mathematics
Mastering Mathematics

Author: Geoff Buckwell

Publisher: Bloomsbury Publishing

Published: 1997-11-11

Total Pages: 435

ISBN-13: 1349141313

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The second edition of this popular book has been fully revised. Geoff Buckwell combines a practical approach with a clear straightforward style. - A complete, self-contained course for individual study or classroom use - Investigations to help you explore topics in a more practical way - Problems at the end of chapters to consolidate what you have learned - Explains pencil and paper techniques in full - Illustrations and revision materials for enjoyable learning

Mathematics for Machine Learning
Mathematics for Machine Learning

Author: Marc Peter Deisenroth

Publisher: Cambridge University Press

Published: 2020-04-23

Total Pages: 392

ISBN-13: 1108569323

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The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.

Mastering Desktop Publishing
Mastering Desktop Publishing

Author: Simon Mitchell

Publisher: Bloomsbury Publishing

Published: 1999-11-11

Total Pages: 234

ISBN-13: 1349145971

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If you design to publish on a computer, in print or digital media, then this book is an essential resource. Both the quality and effectiveness of your work will improve through focus on design. This easy-to-follow book describes processes and tools available for successful desktop publishing (DTP), backed up with over two hundred illustrations. It reveals the tricks, secrets and magic ingredients for design in desktop publishing. Recommended for 'in-house' DTP and those studying: - Communications - Media - Business - Marketing - Design - Desktop publishing Mastering Desktop Publishing offers the reader techniques, skills and strategies to achieve effective results in publishing.

Real Analysis via Sequences and Series
Real Analysis via Sequences and Series

Author: Charles H.C. Little

Publisher: Springer

Published: 2015-05-28

Total Pages: 483

ISBN-13: 1493926519

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This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.

The Principles of Mathematics
The Principles of Mathematics

Author: Bertrand Russell

Publisher: W. W. Norton & Company

Published: 1996

Total Pages: 580

ISBN-13: 9780393314045

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Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.