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A Computational Introduction to Number Theory and Algebra Provides an introduction to number theory and algebra, with an emphasis on algorithms and applications.

26534 

A CookBook Of Mathematics This text provides the students with simple cookbook recipes which covers the most significant issues of mathematical economics.

23568 

A Gentle Introduction to the Art of Mathematics This opensource textbook covers several topics in the foundations of mathematics (logic, sets, relations, functions and cardinality) and introduces the reader to many techniques of mathematical proof.

15588 

A Problem Course in Mathematical Logic This is a text for a problemoriented course on mathematical logic and computability.

17537 

A=B Shows how several recently developed computer algorithms can simplify complex summations, presenting the underlying mathematical theory of these methods, the principle theorems and proofs, and the implementation using Maple packages.

14687 

Advanced Calculus, Revised Edition This 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.

27458 

Algorithmic Mathematics Introduces the basic algorithms for computing and provides a constructive approach to abstract mathematics.

13997 

Algorithms for Modular Elliptic Curves, Second Edition Describes in detail an algorithm based on modular symbols for computing modular elliptic curves. Also describes various algorithms for studying the arithmetic of elliptic curves.

10852 

An Introduction to the Theory of Numbers An introduction to the elementary theory of numbers, in both technical (avoiding complex variable theory) and usual sense (that of being easy to understand).

25154 

Analytic Combinatorics Provides a unified treatment of analytic methods in combinatorics. Many examples are given that relate to words, integer compositions and partitions, paths and walks, graphs, mappings and allocations, lattice paths, permutations, trees, and planar maps.

13125 

Basic Concepts of Mathematics Helps the student complete the transition from purely manipulative to rigorous mathematics.

35677 

Calculus Without Limits Introduces differentiability as a local property without using limits. The course is designed for life science majors who have a precalculus background, and whose primary interest lies in the applications of calculus.

11544 

Calculus, Applications and Theory This book gives complete proofs of all theorems in one variable calculus and to at least give plausibility arguments for those in multiple dimensions. Serious students will find complete explanations in this book.

23743 

California Free Digital Calculus Textbook This is a freely available calculus book, covering a fairly standard course sequence: single variable calculus, infinite series, and multivariable calculus. There is no chapter on differential equations.

16753 

Combinatorial Algorithms for Computers and Calculators, Second Edition An easytoread introduction to Combinatorial Algorithms for any graduate student of mathematics or computer science. Provides a kit of building blocks with which the reader can construct more elaborate structures of his or her own.

13723 

Complex Analysis A textbook for an introductory course in complex analysis. Topics from complex function theory, including contour integration and conformal mapping.

18044 

Complex Variables This is a studentoriented text covering the standard first year graduate course in complex variables. Solutions to all problems are included.

13846 

Computational Geometry: Methods and Applications Focuses on four major directions in computational geometry: the construction of convex hulls, proximity problems, searching problems and intersection problems.

13264 

Derivations of Applied Mathematics An applied exposition of proofs of numerous mathematical results useful in the modeling of physical systems. If you have seen a mathematical result, if you want to know why the result is so, you can look for the proof here.

13708 

Elementary Mathematics Develops fundamental skills in algebra, trigonometry, indices and logarithms, equations and inequalities, as well as progressions. Includes differential and integral calculus in a reasonable level.

23201 

Essential Mathematics Provides training for a compulsory examination, designed to address the lack of fluency in elementary arithmetic and algebra.

16282 

Introduction to Methods of Applied Mathematics This open source textbook contains material on calculus, functions of a complex variable, ordinary differential equations, partial differential equations and the calculus of variations. Includes exercises and solutions.

9763 

Introduction to Probability, 2nd Rev edition Introductory textbook for undergraduates, develops key ideas in probability and describes a variety of applications and of nonintuitive examples.

24116 

Linear Methods of Applied Mathematics A suitable text for a first course on partial differential equations, Fourier series and special functions, and integral equations.

17273 

Logic For Computer Science  Foundations of Automatic Theorem Proving An introduction to mathematical logic, with an emphasis on proof theory and procedures for constructing formal proofs of formulae algorithmically.

14282 