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# Mathematics

E-Books for free online viewing and/or download

## subcategories

**Abstract Algebra** (31)

**Analysis & Calculus** (31)

**Applied** (43)

**Category Theory** (32)

**Discrete Mathematics** (25)

**Elementary Algebra & Trigonometry** (23)

**Geometry & Topology** (23)

**History** (19)

**Linear Algebra** (30)

**Popular** (25)

**Probability & Statistics** (34)

**Pure Mathematics** (17)

**Study & Teaching** (12)

## see also

**Mathematical Physics** (60)

**Math Games** (16)

**Mathematical & Statistical Software** (12)

**TeX/LaTeX** (17)

## e-books in this category

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**Mathematics Illuminated**

by **MacGregor Campbell** - **Annenberg Foundation** , **2017**

Mathematics Illuminated is a text for adult learners and high school teachers. It explores major themes of mathematics, from humankind's earliest study of prime numbers, to the cutting-edge mathematics used to reveal the shape of the universe.

(**1182** views)

**Galois Lectures**

by **J. Douglas, P. Franklin, C.J. Keyser, L. Infeld** - **Morrill Press** , **1941**

Addresses delivered by Jesse Douglas, Philip Franklin, Cassius Jackson Keyser, and Leopold Infeld. Contents: Survey of the theory of integration; The four color problem; Charles Sanders Peirce as a pioneer; The fourth dimension and relativity.

(**1067** views)

**H2 Mathematics Textbook**

by **Yan Min Choo** , **2016**

Includes 300 exercises and all 2006-2015 A-level exam questions -- all worked solutions included. Brief contents: I. Functions and Graphs. II. Sequences and Series. III. Vectors IV. Complex Numbers. V. Calculus. VI. Probability and Statistics.

(**1991** views)

**An Infinitely Large Napkin**

by **Evan Chen** - **MIT** , **2016**

The book is aimed at making higher math accessible to high school students. Topics: Basic Algebra and Topology; Linear Algebra; Multivariable Calculus; Groups and Rings; Complex Analysis; Quantum Algorithms; Algebraic Topology; Category Theory; etc.

(**1277** views)

**Proof in Mathematics: An Introduction**

by **James Franklin, Albert Daoud** - **Kew Books** , **2011**

This is a small (98 page) textbook designed to teach mathematics and computer science students the basics of how to read and construct proofs. The book takes a straightforward, no nonsense approach to explaining the core technique of mathematics.

(**11234** views)

**Encyclopedia of Mathematics**

- **Kluwer Academic Publishers** , **2002**

An open access resource designed specifically for the mathematics community. With more than 8,000 entries, illuminating 50,000 notions in mathematics, Encyclopaedia was the most up-to-date graduate-level reference work in the field of mathematics.

(**10478** views)

**Basic Math Quick Reference Handbook**

by **Peter J. Mitas** - **Quick Reference Handbooks** , **2009**

This handbook, written by an experienced math teacher, lets readers quickly look up definitions, facts, and problem solving steps. It includes over 700 detailed examples and tips to help them improve their mathematical problem solving skills.

(**10516** views)

**An Introduction to Higher Mathematics**

by **Patrick Keef, David Guichard, Russ Gordon** - **Whitman College** , **2010**

Contents: Logic (Logical Operations, De Morgan's Laws, Logic and Sets); Proofs (Direct Proofs, Existence proofs, Mathematical Induction); Number Theory (The Euclidean Algorithm); Functions (Injections and Surjections, Cardinality and Countability).

(**8353** views)

**An Introduction to Contemporary Mathematics**

by **John Hutchinson** - **Australian National University** , **2010**

The goal is to introduce you to contemporary mainstream 20th and 21st century mathematics. If you are doing this course you will have a strong interest in mathematics, and probably be in the top 5% or so of students academically.

(**7614** views)

**Problems with and Without ... Problems!**

by **Florentin Smarandache** - **viXra** , **2011**

This book is addressed to College honor students, researchers, and professors. It contains 136 original problems published by the author in various journals. The problems could be used to preparing for courses, exams, and Olympiads in mathematics.

(**5791** views)

**Advanced High-School Mathematics**

by **David B. Surowski** - **Kansas State University** , **2011**

An advanced mathematics textbook accessible by and interesting to a relatively advanced high-school student. Topics: geometry, discrete mathematics, abstract algebra, series and ordinary differential equations, and inferential statistics.

(**10108** views)

**Mathematics for Technical Schools**

by **J.M. Warren, W.H. Rutherford** - **Copp, Clark** , **1921**

In this book an attempt has been made to present the subject of Elementary Mathematics in a way suitable to industrial students in our technical schools. The fundamentals as herein presented will form a basis for a wide range of industries.

(**5910** views)

**Higher Mathematics for Students of Chemistry and Physics**

by **Joseph William Mellor** - **Longmans, Green** , **1902**

Long a standard textbook for graduate use in both Britain and America, this 1902 classic of modern mathematics remains a lucid, if advanced introduction to higher mathematics as used in advanced chemistry and physics courses.

(**7081** views)

**Mathematical Formula Handbook**

by **Wu-ting Tsai** - **National Taiwan University** , **2012**

Contents: Series; Vector Algebra; Matrix Algebra; Vector Calculus; Complex Variables; Trigonometry; Hyperbolic Functions; Limits; Differentiation; Integration; Differential Equations; Calculus of Variations; Functions of Several Variables; etc.

(**9357** views)

**Engineering Analysis**

- **Wikibooks** , **2012**

This book is about the topic of mathematical analysis, particularly in the field of engineering. This will build on topics covered in Probability, Algebra, Linear Algebra, Calculus, Ordinary Differential Equations, and others.

(**6051** views)

**Handbook of Engineering Mathematics**

by **Walter E. Wynne, William Spraragen** - **Van Nostrand** , **1916**

The authors endeavored to supply a handy means of reference to theoretical and applied mathematics used in engineering, and while the first aim has been to make this a mathematical handbook, it also includes the underlying engineering applications.

(**8726** views)

**The Philosophy of Mathematics**

by **Auguste Comte** - **Harper & brothers** , **1851**

The book presents a map of the wide region of mathematical science -- a bird's-eye view of its features, and of the true bearings and relations of all its parts. Auguste Comte was the first philosopher of science in the modern sense of the term.

(**7090** views)

**Engineering Mathematics: YouTube Workbook**

by **Christopher C. Tisdell** - **BookBoon** , **2012**

This textbook takes learning to a new level by combining free written lessons with free online video tutorials. Each section within the workbook is linked to a video lesson on YouTube where the author discusses and solves problems step-by-step.

(**7314** views)

**Math in Society**

by **David Lippman** - **Lulu.com** , **2013**

A survey of math for liberal arts majors. Introduces contemporary mathematics topics: voting theory, weighted voting, fair division, graph theory, scheduling, growth models, finance math, statistics, and historical counting systems.

(**8218** views)

**Encyclopaedia of Mathematics**

by **Michiel Hazewinkel** - **Springer** , **2011**

The Online Encyclopaedia of Mathematics is the most up-to-date and comprehensive English-language graduate-level reference work in the field of mathematics. It comprises more than 8,000 entries and illuminates nearly 50,000 notions in mathematics.

(**12367** views)

**Aesthetics for the Working Mathematician**

by **Jonathan M. Borwein** - **DocServer** , **2001**

Most research mathematicians neither think deeply about nor are terribly concerned about either pedagogy or the philosophy of mathematics. Nonetheless, as I hope to indicate, aesthetic notions have always permeated (pure and applied) mathematics.

(**6449** views)

**Mathematical Methods for Physical Sciences II**

by **Christoph Kirsch** - **University of North Carolina** , **2011**

Topics covered: Introduction to boundary value problems for the diffusion, Laplace and wave partial differential equations; Bessel functions and Legendre functions; Introduction to complex variables including the calculus of residues.

(**7814** views)

**Essential Engineering Mathematics**

by **Michael Batty** - **BookBoon** , **2011**

The aim is to explain some areas commonly found difficult, such as calculus, and to ease the transition from school level to university level mathematics, where sometimes the subject matter is similar, but the emphasis is usually different.

(**11089** views)

**Engineering Mathematics with Tables**

by **M.A. Keasey, G.A. Kline, D.A. McIlhatten** - **The Blakiston company** , **1940**

The problems in this book emphasize the use of the mathematical principles so vital to a clear understanding of Engineering. They also furnish the necessary foundation for the later development of the Analytical Geometry and the Calculus.

(**8011** views)

**The Millennium Prize Problems**

by **J. Carlson, A. Jaffe, A. Wiles** - **American Mathematical Society** , **2006**

Guided by the premise that solving the most important mathematical problems will advance the field, this book offers a fascinating look at the seven unsolved Millennium Prize problems. This work describes these problems at the professional level.

(**9683** views)

**Just the Maths**

by **A. J. Hobson** , **2002**

Just the Maths is a collection of separate units intended to service foundation level and first year degree level courses in higher education. It concentrates on the core mathematical techniques required by any scientist or engineer.

(**12664** views)

**Higher Mathematics for Engineers and Physicists**

by **Ivan S. Sokolnikoff** - **McGraw Hill** , **1941**

The chief purpose of the book is to help to bridge the gap which separates many engineers from mathematics by giving them a bird's-eye view of those mathematical topics which are indispensable in the study of the physical sciences.

(**15111** views)

**Mathematics for Engineers**

by **William Neville Rose** - **Chapman** , **1922**

These two volumes form a most comprehensive and practical treatise on the subject. They show the direct bearing of all principles to engineering practice, and will prove a valuable reference work embracing all the mathematics needed by engineers.

(**17759** views)

**Unfolding the Labyrinth: Open Problems in Mathematics, Physics, Astrophysics, and Other Areas of Science**

by **Florentin Smarandache, at al.** - **arXiv** , **2006**

Throughout this book, the authors discuss some open problems in various branches of science, including mathematics, theoretical physics, astrophysics, geophysics, etc. Some parts of these problems may be found useful for scholarly stimulation.

(**13662** views)

**Book of Proof**

by **Richard Hammack** - **Virginia Commonwealth University** , **2009**

This textbook is an introduction to the standard methods of proving mathematical theorems. It is written for an audience of mathematics majors at Virginia Commonwealth University, and is intended to prepare the students for more advanced courses.

(**26162** views)

**Basics of Algebra and Analysis For Computer Science**

by **Jean Gallier** , **2007**

From the table of contents: Linear Algebra; Determinants; Basics of Affine Geometry; Polynomials, PID's and UFD's; Topology; Differential Calculus; Zornâ€™s Lemma and Some Applications; Gaussian elimination, LU-factoring and Cholesky-factoring.

(**12551** views)

**The Philosophy of Mathematics**

by **Albert Taylor Bledsoe** - **J.B. Lippincott & Co** , **1868**

The text covers first principles of the infinitesimal method, the method of indivisibles, solution of the mystery of Cavalieri's method, the method of Descartes, or analytical geometry, the method of Leibnitz, the method of Newton.

(**12400** views)

**Mathematics for the Physical Sciences**

by **Herbert S Wilf** - **Dover Publications** , **1962**

The book for the advanced undergraduates and graduates in the natural sciences. Vector spaces and matrices, orthogonal functions, polynomial equations, asymptotic expansions, ordinary differential equations, conformal mapping, and extremum problems.

(**20005** views)

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