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مجموعه کتاب های ریاضیات Ultimate Mathematics E-Book Collection

ریاضیات را بیشتر دانش بررسی کمیت ها و ساختارها و فضا و دگرگونی (تغییر) تعریف می‌کنند. دیدگاه دیگری ریاضی را دانشی می‌داند که در آن با استدلال منطقی از اصول و تعریف‌ها به نتایج دقیق و جدیدی می‌رسیم (دیدگاه‌های دیگری نیز در فلسفه ریاضیات بیان شده‌است). با اینکه ریاضیات از علوم طبیعی به شمار نمی‌رود، ولی ساختارهای ویژه‌ای که ریاضی‌دانان می‌پژوهند بیشتر از دانش‌های طبیعی به‌ویژه فیزیک سرچشمه می‌گیرند و در فضایی جدا از طبیعت و محض‌گونه گسترش پیدا می‌کنند، به‌طوری که علوم طبیعی برای حل مسائل خود به ریاضی باز می‌گردند تا جوابشان را با آن مقایسه و بررسی کنند.

Ebook List:
Algebra
Analysis
Applied mathematics
Artificial Intelligence
CRC Concise Encyclopedia- Mathematics
Cryptography
Differential Algebra
Differential Equation
Encyclopedia of Mathematics – Gale Group
Financial Mathematics and Risk Analysis
Fractals
Game Theory
Graph Theory
Number Theory
Principia Mathematica
Probability and Statistics
Ramanujan Notebooks
Stochaistic Processes and Differential Equations
Topology
Other

Algebra
=======
Geometry
Group Theory
Linear Algebra
Alekseev V. B. – Abel’s Theorem in Problems and Solutions
Ash R. – Abstract Algebra – The Basic Graduate Year
Ash Robert B. – Algebra Abstract
Baker-Fluckiger E., Lewis D., Raniki A. – Quadratic Forms and their Applications
Barr M., Wells W. – Toposes, Triples and Theories
Beachy John A. – Abstract Algebra – A Study Guide for Beginners
Beecher – Algebra and Trigonometry (3rd ed.)
Bird J. – Basic Engineering Mathematics (4th ed., Newnes, 2005)
Bittinger Marvin L. – Algebra & Trigonometry Graphs & Models (3rd ed.)
Borel A. et. al. – Algebraic D-Modules
Borel A., Mostow G. – Algebraic Groups and Discontinuous Subgroups
Borel A., Mostow G. – Symposium on Algebraic Groups – Algebraic Groups and Discontinuous Subgroups
Bratelli O. – Operator Algebras and Quantum Statistical Mechanics Vol. 1 (2nd ed.)
Bratelli O. – Operator Algebras and Quantum Statistical Mechanics Vol. 2 (2nd ed.)
Burris S., Sankappanavar H. P. – A Course In Universal Algebra
Chevalley C. – The Algebraic Theory of Spinors and Clifford Algebras
Coutinho S. – A Primer of Algebraic D-Modules
Dales G., et al. – Introduction to Banach Algebras, Operators, and Harmonic Analysis (Cambridge, 2003)
Debnath L., Mikusinski P. – Introduction to Hilbert Spaces with Applications (1990)
Diamond H., Pollard H. – The Theory Of Algebraic Numbers (2nd ed.)
Dym C. – Principles of Mathematical Modeling (2nd ed., AP, 2006)
Eisenbud D. – Commutative Algebra, with a View Toward Algebraic Geometry
Ernest P. – The Philosophy of Mathematics Education (Falmer, 1991)
Fauser – Treatise on Quantum Clifford Algebras
Franzen T. – Godel’s Theorem – An Incomplete Guide to Its Use and Abuse (2005)
Friedman R. – Algebraic Surfaces and Holomorphic Vector Bundles
Galois Theory 2nd ed. – E. Artin
Garret P. – Introduction to Abstract Algera
Gelfand S., Manin Y. – Methods of Homological Algebra
Gencay R., et. al. – An Introduction to Wavelets and Other Filtering Methods in Finance and Economics (AP, 2001)
Gilbert, Nicholson – Modern Algebra With Applications (2nd ed.)
Goldschmidt D. – Group Characters, Symmetric Functions and the Hecke Algebras
Goodman F. – Abstract and Concrete (2.5 ed., 2006)
Gray R. M. – Toeplitz and Circulant Matrices
Greub W. H. – Linear Algebra (3rd ed.)
Hardy G., Wright E. – Introduction to the Theory of Numbers (4th ed. 1968)
Hazewinkel M. – Handbook of Algebra Vol 1
Hazewinkel M. – Handbook of Algebra Vol 2
Higgins P. – Number Story – From Counting to Cryptography (Copernicus, 2008)
Hilger Adam – Compact Numerical Methods for Computers Linear Algebra and Function Minimisation (2nd ed.)
Hilton P., Stammbach U. – A Course in Homological Algebra
Huettenmueller Rhonda – Algebra Demystified
Invitation to Higher Local Feilds – I. Fesenko, M. Kurihara
Jacobson N. – Structure and Representation of Jordan Algebras
Kandasamy W. B. V. – Bialgebraic Structures
Kandasamy W. B. V. – Smarandache Fuzzy Algebra Vol. 9
Kandasamy W. B. V. – Smarandache Loops
Kandasamy W. B. V. – Smarandache Near-Rings
Kandasamy W. B. V. – Smarandache Rings
Kandasamy W. B. V. – Smarandache Semirings, Semifields, Semi Vector Spaces
Keddes K., Czapor S., Labahn G. – Algorithms for Computer Algebra
Klima R., Sigmon N., Stitzinger E. – Applications of Abstract Algebra with MAPLE
Kolman B., Beck R. – Elementary Linear Programming with Applications (Elsevier, 1995)
Kostrikin A. I., Shafarevich I. R. – Algebra I Basic Notions Of Algebra
Kreyszig – Advanced Engineering Mathematics (9th ed.)
Lam T. – A First Course in Noncommutative Rings
Levitz H., Levitz K. – Logic and Boolean Algebra
MacDonald I., Atiyah M. – Introduction to Commutative Algebra
Matsumura H. – Commutative Algebra (2nd ed., 1980)
Matsumura H. – Commutative Ring Theory
Matthews K. R. – Elementary Linear Algebra
Milne J. – Fileds and Galois Theory [jnl article]
Mishra B. – Algorithmic Algebra
Put M. van der, Singer M. – Differential Galois Theory
Quillen D. – Homotopical Algebra
Ring of Quotients – Introduction to Methods of Ring Theory – Bo Stenstrom
Robbiano, Kreuzer – Computational Commutative Algebra
Rotman Joseph J. – Advanced Modern Algebra
Schemes – D. Eisenbud, J. Harris
Surowski D. – Workbook in Higher Algeba
Tournier E. – Computer Algebra and Differential Equations
Vasantha W. B. – Groupoids and Smarandache Groupoids
Vermani L. – An Elementary Approach to Homological Algebra
Von Zur Gathen, Gerhard – Modern Computer Algebra
Wedderburn – Lectures On Matrices
Wedderburn J. H. M. – Lectures on Matricies
Wesner – College Algebra and Trigonometry with Applications 2e HQ
Wesner – Elementary Algebra with Applications 3e HQ
Wesner – Intermediate Algebra with Applications 3e HQ
Yaglom I., Zeldovich Y. – Higher Mathematics for Beginners (Mir, 1987)
Yap C. K. – Fundamental Problems in Algorithmic Algebra

Geometry
========
Trigonometry
Akivis M., Goldberg V. – Differential Geometry of Varieties With Degenerate Gauss Maps (Springer, 2004)
Arabello E., Cornalba M., Griffiths P., Harris J. – Geometry of Algebraic Curves Vol. 1
Artin E. – Geometric Algebra
Behnke, Bachmann – Fundamentals of Mathematics Vol. 2, Geometry
Borovik A., Borovik A. – Mirrors and Reflections – The Geometry of Finite Reflection Groups
Bryant R. L. – Introduction to Lie groups and Symplectic Geometry
Bump D. – Algebraic Geometry (1)
Bump D. – Algebraic Geometry (2)
Calvet R. G. – Treatise of Plane Geometry Through Geometric Algebra
Chen – Computational Geometry Methods And Applications
Cox D., Katz S. – Mirror  Symmetry and Algebraic Geometry
Coxeter – Introduction to Geometry (2nd ed.)
Coxeter H. S. M. – Non-Euclidean Geometry (6th ed.)
DeBerg – Computational Geometry Algorithms and Applications (2nd ed.)
Dolgachev – Introduction to Algebraic Geometry
Doran C. – Geometric Algebra and its Application to Mathematical Physics
Eisenbud D. – Commutative Algebra, With A View Toward Algebraic Geometry
Eisenbud D., Harris. J. – The Geometry of Schemes
Ewald G. – Combinatorial Convexity and Algebraic Geometry
Eyssette F., Galligo A. – Computational Algebraic Geometry
Falconer – Fractal Geometry Mathematical Foundations & Applications
Gardenfors – Conceptual Spaces The Geometry Of Thought
Guillemin, Sternberg – Geometry Asymptotics
Harris J. – Algebraic Geometry A First Course
Harris J., Morrison I. – Moduli of Curves
Hartshorne R. – Algebraic Geometry
Helgason S. – Differential Geometry, Lie Groups and Symmetric Spaces (AP, 1978)
Hemmerling E. M. – Fundamentals of College Geometry (2nd ed.)
Jo’orourk – Computational Geometry in C
Lapidus M., et al. – Fractal Geometry, Complex Dimensions and Zeta Functions (Springer, 2006)
Mine J. S. – Algebraic Geometry
Miron, Hrimiuc, Shimara, Sabau – The Geometry of Hamilton and Lagrange Spaces
Mumford D. – Abelian Varieties
Plane Analytic Geometry With Differential Calculus – Maxime Bocher
Positivity In Algebraic Geometry – R. Lazarsfeld
Real Algebraic Geometry – J. Bochnak, M. Coste, M. Roy
Ribet K. – Current Trends in Arithmetical Algebraic Geometry
Rosen – Handbook of Discrete and Computational Geometry and its Applications
Shafarevich I. R. – Algebraic geometry I-V
Silva A. da, Weinstein A. – Geometric Models for Noncummutative Algebras
Sphere Packings – C. Zong
Thomas – Zeta Functions, Introduction to Algebraic Geometry
Thurston – The Geometry & Topology of 3-Manifold
Ueno K. – Algebraic Geometry I. From Algebraic Varieties to Schemes
Ueno K. – An Introduction to Algebraic Geometry (AMS, 1995)
Verlag – Glimpses of Algebra and Geometry (2nd ed.)
Vossler D. – Exploring Analytic Geometry with Mathematica

Trigonometry
============
Butler S. – Notes from Trigonometry
Gibilisco S. – Trigonometry Demystified
Palmer C., Leigh C. – Plane and Spherical Trigonometry
Wesner – Trigonometry with Applications (3rd ed.) HQ

Group Theory
============
Artin E. – Galois Theory (2nd ed.)
Atiyah M., et al. – Representation Theory of Lie groups
Bechtell H. – The Theory of Groups
Borel A. – Linear Algebraic Groups
Burnside W. – Theory Of Groups of Finite Order
Cvitanovic P. – Group Theory (Lie’s, Tracks and Exceptional Groups)
Cvitanovic P. – Group Theory Exceptional Lie Groups As Invariance Groups
Dieck T. – Quantum Groups and Knot Algebra
Dixon J. – Problems in Group Theory
Firk Frank W. K. – Introduction To Groups, Invariants and Particles
Fulton W., Harris J. – Representation Theory – A First Course
Garrett P. – Buildings and Classical Groups
Greenstein D., Lyons R., Solomon R. – The Classification of the Finite Simple Groups
Gruenberg K. – Cohomological Topics in Group Theory
Hall B. – An Elementary Introduction to Groups and Representations
Kandasamy W. – Groupoids. and Smarandache Groupoids
Kandasamy W. – Smarandache Semigroups
Kurosh A. – The Theory of Groups (2nd ed.) Vol. 1
Michor P. – Isometric Actions of Lie Groups and Invariants [jnl article]
Milicic D. – Lectures on Lie Groups
Milne J. – Group Theory [jnl article]
Polites G. – Introduction to the Theory of Groups
Schmidt O. – Abstract Theory of Groups
Sternberg S. – Lie Algebras

Linear Algebra
==============
Axler S. – Linear Algebra Done Right (2nd ed.)
Banks T. – Matrix Theory [jnl article]
Beezer Robert A. – A First Course In Linear Algebra
Borel A. – Linear Algebraic Groups (2nd ed.)
Connell E. H. – Elements of Abstract and Linear Algebra
Dale P., Vein R. – Determinants and Their Applications in Mathematical Physics
Demmel James W. – Applied Numerical Linear Algebra
Hefferson Jim – Linear Algebra
Hoffman Kenneth, Kunze Ray – Linear algebra (2ed, PH, 1971)(T)(415s)
Hoffman Kenneth, Kunze Ray – Linear Algebra (Prentice-Hall, Edition 2, 1971)
Hueper – Calculus Approach To Matrix Eigenvalue Algorithms
Iohvidov I. – Hankel and Toeplitz Matrices and Forms
Kandasamy Vasantha W. B. – Linear Algebra and Smarandache Linear Algebra
Kandasamy W. B. V. – Linear Algebra and Smarandache Linear Algebra
Kuttler Kenneth – An Introduction To Linear Algebra
Lay D. C. – Linear Algebra And Its Applications
Lipschutz S. – Schaum’s Outline of Theory and Problems of Linear Algebra (2nd ed.)
Mathews K. R. – Elementary Linear Algebra
Matrices Over Commutative Rings – W. Brown
Messer R. – Linear Algebra Gateway to Mathematics
Meyer C. D. – Matrix Analysis & Applied Linear Algebra
Nicholson, Keith W. – Linear Algebra with Applications (3rd ed.)
Serre D. – Matrices Theory and Applications
Sharipov R. – Linear Algebra and Multidimensional Geometry
Shores T. S. – Applied Linear Algebra And Matrix Analysis
Strang G. – Linear Algebra and Its Applications (3rd ed.)

Analysis
========
Complex analysis
Adler M. – An Introduction to Complex Analysis for Engineers
Ahlfors – Complex Analysis
Alhford L. – Complex Analysis (2nd ed.)
Apostol T. M. – Mathematical Analysis
Arnold Douglas – Functional Analysis
Axler, Gehring, Ribet – Foundations of Real and Abstract Analysis
Baker A. – Introduction To p-adic Numbers and p-adic Analysis
Bartle R. – The Elements of Real Analysis
Borel A., Casselman W. – Automorphic Forms, Representations and L-Functions Part 1
Borel A., Casselman W. – Automorphic Forms, Representations and L-Functions Part 2
Borisenko A., Tarapov I. – Vector and Tensor Analysis with Applications
Borwein, Lewis – Convex Analysis and Non Linear Optimization Theory and Examples
Bulirsch R., Stoer J. – Introduction to Numerical Analysis (2nd ed.)
Cain – Complex Analysis
Carslaw H. S. – Introduction to the Theory of Fourier’s Series and Integrals (2nd ed.)
Chen W. – Introduction to Complex Analysis Lecture Notes
Cinlar E., Vanderbei R. – Mathematical Methods of Engineering Analysis
Clarke B. – Fourier Theory
Collins G. W. – Fundamental Numerical Methods and Data Analysis
Conway J. – Functions of One Complex Variable (2nd ed.)
Dahlberg B., Kenig C. – Harmonic Analysis And Partial Differential Equations
de Boor – Elementary Numerical Analysis  An Algorithmic Approach (3rd ed.)
Dodge C. – Foundations of Algebra and Analysis
Flaherty Joseph E. – Finite Element Analysis (Lecture Notes, Spring 2000, Rensselaer Polytechnic Institute)
Fomin S., Kolmogorov A. – Introductory Real Analysis
Friedman – Foundations of Modern Analysis
Goffman C., Nishiura T., Waterman D. – Homeomorphisms in Analysis
Goursat E., Hedrick E. R. – A Course In Mathematical Analysis Vol. 1 (Ginn and Company)
Goursat Edouard, Hedrick Earle Raymond – A Course in Mathematical Analysis – Vol. I
Hardy – A course of Pure Mathematics
Harmonic Analysis, Real Variable Methods Orthogonality & Oscillatory Integrals – Stein
Henrici P. – Applied and Computational Complex Analysis Vol 1
Henrici P. – Applied and Computational Complex Analysis Vol 2
Hiai F., Kosaki H. – Means of Hilbert Space Operators
Hille E., Phillips R. – Functional Analysis and Semi-Groups
Hochstadt H. – Integral Equations
Hoermander L. – Notions of Convexity
Hoppensteadt F. – Analysis and Simulation of Chaotic Systems (2nd ed.)
Houston K. – Complex Analysis
Hyland – Analysis
Ibstedt H. – Computer Analysis of Number Sequences
Jacquet H., Langlands R. – Automorphic Forms on GL(2)
Jolley L. B. W. – Summation of Series (2nd rev. ed.)
Koblitz N. – p-adic Numbers, p-adic Analysis, and Zeta-Functions (2nd ed.)
Kolmogorov A., Fomin S. – Introductory Real Analysis
Kuczma M. – Functional Equations in a Single Variable
Kuttler K. – Basic Analysis
Marsden, Ratiu, Abraham – Manifolds, Tensor Analysis and Applications (3rd ed.)
Measure And Integral an introduction to  Real analysis – Wheeden and Zygmund,
Mixed Motives – M. Levine
Moaveni S. – Finite Element Analysis Theory and Application with ANSYS
Monotone Operators in Banach Space and Nonlinear partial differential equation – P. Showalter
Neumann J. von – Functional Operators, Vol. 1 – Measures and Integrals
Nevanlinna R., Paatero V. – Introduction to Complex Analysis
Partial Differantial  Equations and Fourier Analysis  an Introduction – K. Tung
Porter D., Stirling D. – Integral Equations – A Practical Treatment
Principles of Mathematical Analysis 3ed – Rudin W
Protter M. – Basic Elements of Real Analysis (1998)
Protter M. – Basic Elements of Real Analysis
Real And Complex Analysis International Student edn – W. Rudin
Real and complex analysis third edition – Rudin
Real Mathematical Analysis- Charles Chapman
Rudin W. – Fourier Analysis on Groups
Rudin W. – Functional Analysis
Rugh W. J. – Nonlinear System Theory
Salem – Algebraic Numbers and Fourier Analysis
Sequeira A., H. da Vega, Videman J. – Applied Nonlinear Analysis
Sharipov R. – A Quick Introduction to Tensor Analysis
Smirnov V. – A Course of Higher Mathematics Vol. 1
Smirnov V. – A Course of Higher Mathematics Vol. 2
Smith (III) J. O. – Mathematics of the Discrete Fourier Transform
Smith M. – Principles and Applications of Tensor Analysis
Spiegel – Theory and Problems Of Fourier Analysis with Applications to Boundary Value Problems
Szarski J. – Differential Inequalities
Theory of Functions of a Real Variable – S. Sternberg
Titshmarch – The Theory Of The Riemann Zeta-Function
Varadarajan V. – Harmonic Analysis on Semisimple Lie Groups
Vitali Milman – An Introduction To Functional Analysis
Watson G., Whittaker E. – A Course of Modern Analysis (4th ed.)
Wiley – An Introduction to Numerical Analysis for Electrical and Computer Engineers
Yeh J. – Real Analysis, Theory of Measure and Integration (2nd ed.)
Yoshida K. – Functional Analysis
Zakon E. – Basic Math Conecpts
Zakon E. – Mathematical Analysis

Complex analysis
================
Alder M. D. – An Introduction to Complex Analysis for Engineers
Arnold D. N. – Complex Analysis
Cain G. – Complex Analysis
Deitmar A. – Complex Analysis
Houston K. – Complex Analysis (2003)
Jacobowitz H. – Real Hypersurfaces and Complex Analysis

Applied mathematics
===================
Anderson M. – The Mathematical Theory Of Cosmic Strings
Ash R. – Information Theory
Benfatto G., Gallavotti G. – Renormalization Groups
Bierens H. – Introduction to the Math. and Stat. Foundations of Econometrics
Brylinski, Chen – Mathematics of Quantum Computation
Chan A., Goswami J. – Fundamentals of Wavelets – Theory, Algorithms, and Applications
Hernandez E., Weiss G. – A First Course On Wavelets
Kemeny J. G., Snell J. L., Thompson G. L. – Introduction To Finite Mathematics (3rd ed.)
Lipschutz S. – Theory and Problems of Finite Mathematics (Schaums Outlines)
Neal R. – Probabilistic Inference Using Markov Chain Monte Carlo Methods
Oliver P., Shakiban C. – Applied Mathematics
Rordam M., Stormer E. – Classification of Nuclear C-algebras – Entropy in Operator Algebras
Smith P. – Explaining Chaos
Tarantola A. – Inverse Problem Theory and Methods for Model Parameter Estimation
Vanderbei R. – Linear Programming – Foundation and Extensions (2nd ed.)
Williams G. – Chaos Theory Tamed

Artificial Intelligence
=======================
Bayesian networks
Computer Vision
Evolutionary Computation
Fuzzy Systems
Swarm Intelligence

Bayesian networks
=================
Murphy K. P., Dynamic Bayesian Networks Representation, Inference And Learning
Neapolitan R. E., Learning Bayesian Networks

Computer Vision
===============
Ballard D., Computer Vision (2nd ed.)
Bigun J., Vision with Direction A Systematic Introduction to Image Processing and Computer Vision
Frosyth, Ponce, Computer Vision A Modern Approach
Hartley R., Zisserman A., Multiple View Geometry in Computer Vision (2nd ed.)
Jahne B., Computer Vision and Applications A Guide for Students and Practitioners
Jahne B., Handbook of Computer Vision and Applications Vol. 1 Sensors and Imaging
Jahne B., Handbook of Computer Vision and Applications Vol. 2 Signal Processing and Pattern Recognition
Jahne B., Handbook of Computer Vision and Applications Vol. 3 Systems and Applications
Lu M., Computer Modeling and Simulation Techniques for Computer Vision Problems
Nixon M. S., Feature Extraction in Computer Vision and Image Processing
Paragios N., Handbook Of Mathematical Models In Computer Vision
Ritter G. X., Handbook of Computer Vision Algorithms in Image Algebra (2nd Ed.)
Shah M., Fundamentals of Computer Vision
Shapiro L., Computer Vision

Evolutionary Computation
========================
Ashlock D., Evolutionary Computation for Modeling and Optimization
Baeck T., Fogel D. B., Michalewicz Z., Evolutionary computation, vol. 1 basic algorithms and operators
Baeck T., Fogel D. B., Michalewicz Z., Evolutionary computation, vol. 2 advanced algorithms and operators
Cheung, Wong, Data Mining Using Grammar Based Genetic Programming and Applications
DeJong K., The Handbook of Evolutionary Computation
Kaufmann M., Genetic Programming, An Intro On the Automatic Evolution of Computer Programs and Apps
Koza J. R., Genetic programming Complex adaptive systems
Koza J. R., Genetic Programming Theory and Practice II
Menon A., Frontiers of Evolutionary Computation

Fuzzy Systems
=============
Banks W., Fuzzy Logic in Embedded Microcomputers and Control Systems
Buckley J. J., Simulating Continuous Fuzzy Systems
Dubois D., Prade H., Fuzzy Sets And Systems Theory And Applications
Jain L. C., Martin N. M., Fusion Of Neural Networks, Fuzzy Systems And Genetic Algorithms
Jyh-Shing, Jang R., Neuro-Fuzzy and Soft Computing A Computational Approach to Learning and Machine Intelligence
Klir G. J., Yuan B., Fuzzy Sets and Fuzzy Logic Theory and Applications
Rutkowski L., Flexible Neuro-Fuzzy System Structures, Learning and Performance Evaluation
Tanaka K., Wang H. O., Fuzzy Control Systems Design and Analysis A Linear Matrix Inequality Approach
Zadeh I., Fuzzy Sets And Fuzzy Information Granulation Theory
Zadeh L. A., Fu K. S., Fuzzy Systems and Their Applications To Cognitive And Decision Processes

Swarm Intelligence
==================
Kennedy J., Swarm intelligence

CRC Concise Encyclopedia- Mathematics
=====================================
Weisstein E. – CRC Concise Encyclopedia of Mathematics [part 1 of 4]
Weisstein E. – CRC Concise Encyclopedia of Mathematics [part 2 of 4]
Weisstein E. – CRC Concise Encyclopedia of Mathematics [part 3 of 4]
Weisstein E. – CRC Concise Encyclopedia of Mathematics [part 4 of 4]

Cryptography
============
Hankerson D., Menezes A.,Vanstone S. – Guide to Elliptic Curve Cryptography
Lomonaco S. J. – A quick glance at quantum cryptography (archive_9811056)(T)(54s)
Mao Wenbo – Modern Cryptography, Theory And Practice
Menezes A., VanOorschot P., Vanstone S. – Handbook of Applied Cryptography
Mollin R. – An Introduction to Cryptography (2nd ed.)
Schneier B. – Applied Cryptography (2nd ed.)
Stinson Douglas – Cryptography Theory And Practice

Differential Algebra
====================
Buium A. – Differential Algebra and Diophantine Geometry (1973)
Buium A. – Differential Algebraic Groups of Finite Dimension
Buium A. – Differential Function Fields and Moduli of Algebraic Varieties
Kolchin E. – Differential Algebraic Groups
Ritt Joseph – Differential Algebra

Differential Equation
=====================
Abell M., Braselton J. – Differential Equations with Mathematica
Abell, Braselton – Differential Equations with Mathematica (641s)
Agarwal P. – Difference Equations and Inequalities – Theory, Methods, and Applications (2nd ed.)
Ames W. – Numerical Methods for Partial Differential Equations (2nd ed.)
Arnold V. – Ordinary Differential Equations
Billingham J., King A., Otto S. – Differential Equations – Linear, Nonlinear, Ordinary, Partial (Cambridge, 2003)
Boyce W., Diprima R. – Elementary Differential Equations and Boundry Value Problems (7th ed.)
Brauer F., Nohel H. – The Qualitative Theory of Ordinary Diff. Equations
Bronson R. – Differential Equations Crash Course
Bryant, Griffiths, Grossman – Exterior Diff Systems And Euler-Lagrange Partial Diff Eqns
Butcher J. C. – Numerical Methods for Ordinary Differential Equations
Chen G., DiBenedetto E. – Nonlinear Partial Differential Equations
Chen Z., Li R., Wu W. – Generalized Difference Methods for Differential Equations
Cohen A. – Numerical Methods for Laplace Transform Inversion (Springer, 2007)
Dickson L. – Differential Equations From the Group Standpoint
Egorov Y., Shubin M. – Partial Differential Equns I – Foundations of the Classical Theory (Springer, 1992)
Egorov Y., Shubin M. – Partial Differential Equns II – Elements of the Classical Theory [Eqns w Constant Coefficients] (Springer, 1995)
Evans L. – Introduction to Stochastic Differential Equations Ver. 1.2 (Berkeley lecture notes)
Evans L. – Partial Differential Equations
Forsyth A. – A Treatise on Differential Equations (2nd ed.)
Hartman P. – Ordinary Differential Equations
Heinbockel J. – Introduction To Tensor Calculus & Continuum Mechanics
Hirsch M., Smale S. – Differential Equations, Dynamical Systems and Linear Algebra
Johnson R. – Singular Perturbation Theory – Math and Analyt Technique w. appl to Engineering
Kythe P. – Partial Differential Equations and Mathematica
Liu G. – Mesh-free Methods – Moving Beyond Finite Element Methods
Logan J. D., An Introduction To Nonlinear Partial Differential Equations (2nd ed., 2008, Wiley)
Mayers D., Morton K. – Numerical Solution of Partial Differetial Equations (2nd ed., Cambridge, 2005)
Miller K. S., Ross B. – An Introduction to the Fractional Calculus and Fractional Differential Equations
Miller S., Mocanu P. – Differential Subordinations, Theory and Applications
Neta B. – Partial Differential Equations, (MA3132 lecture notes)
Oksendal B. – Stochastic Differential Equations (5th ed.)
Page J. – Ordinary Differential Equations, with Introduction to Lie Theory
Pinchover Y., Rubenstein J. – An Introduction to Partial Differential Equations (Cambridge, 2005)
Schmitt, Thompson – An Introduction to Nonlinear Analysis & Differential Equations
Showalter R. – Hilbert Space Methods For Partial Differential Equations
Sibuya Y. – Linear Differential Equations in the Complex Domain – Problems of Analytic Continuation
Singer M., Put M. van der – Galois Theory of Linear Differential Equations
Solin P. – Partial Differential Equations and the Finite Element Method
Taylor M. – Partial Differential Equations Vol 1 – Basic Theory
Taylor M. – Partial Differential Equations Vol 2 – Qualitative Studies of Linear Equations
Taylor M. – Partial Differential Equations Vol 3 – Nonlinear Equations
Teschl G. – Ordinary Differential Equations and Dynamical Systems
Tveito A., Winther R. – Introduction to Partial Differential Equations – A Computational Approach
Vrabie I. – Differential Equations – An Intro to Basic Concepts, Results and Applications (World, 2004)
Weinberger H. – A First Course in Partial Differential Equations With Complex Variables and Transform Methods
Wesseling P. – An Introduction to MultiGrid Methods

Encyclopedia of Mathematics – Gale Group
=======================================
Encyclopedia of Mathematics – Gale Group (Vol.1 Ab-Cy)
Encyclopedia of Mathematics – Gale Group (Vol.2 Da-Lo)
Encyclopedia of Mathematics – Gale Group (Vol.3 Ma-Ro)
Encyclopedia of Mathematics – Gale Group (Vol.4 Sc-Ze)

Financial Mathematics and Risk Analysis
=======================================
Dewvynne, Howison, Wilmott – The Mathematics of Financial Derivatives
Hull, J. C., Options, Futures and Other Derivative Securities (2nd Edition, redsamara.com)
Hull, J. C., Options, Futures and Other Derivatives Solutions
McDonald R. L., Derivatives Markets (2nd ed., Addison Wesley)
Molak V. – Fundamentals of Risk Analysis and Risk Management (CRC, 1997)
Osborune Martin J. – Bargaining and Markets
Staveren M. Van – Uncertainty and Ground Conditions – A Risk Management Approach (B-H, 2006)
Wilmott, Howison, Dewynne – The Mathematics of Financial Derivatives (1995)

Fractals
========
Addison P. – Fractals and Chaos – An Illustrated Course (1997)
Barnsley M. – Fractals Everywhere (AP, 1988)
Kigami J. – Analysis on Fractals (Cambridge, 2001)
Kilbas A., et al. – Theory and Applications of Fractional Differential Equations (Elsevier, 2006)
Liebovitch L. – Fractals and Chaos Simplified for the Life Sciences (Oxford, 1998)

Game Theory
===========
Alpern S., The Theory of Search Games and Rendezvous
Camerer C. F., Behavioral Game TheoryThinking, Learning, and Teaching Lctn
Conway J. H., On Numbers and Games
Cressman R., Evolutionary Dynamics and Extensive Form Games
Duffy J., Lectures Note On Game Theory
Ferguson T. S., Game Theory Text
Fudenberg D., Game Theory
Fudenberg D., The Theory Of Learning In Games
Gibbons R., Game Theory For Applied Economists
Haurie A., An Introduction to Dynamic Games Lctn
Kockesen L., Game Theory Lecture Notes
Mansour Y., Computational Game Theory Lctn
Mas-Colell, Microeconomic Theory Solution Manual
Mas-Colell, Microeconomic Theory
Miller J. D., Game Theory At WOrk How to Use Game Theory To Outthink and Outmaneuver Your Competition
Osborne M. J., A Course in Game Theory Solution Manual
Osborne M. J., A Course in Game Theory
Osborne M. J., Bargaining and Markets
Osborune Martin J., A Course in Game Theory (Solution Manual)
Osborune Martin J., A Course in Game Theory
Peres Y., Game Theory Instructor Lctn
Rasmusen E., An Introduction to Game Theory
Rasmusen E., Games and Information – An Introduction to Game Theory
Reasoning About Knowledge – Ronald Fagin
Rubinstein A., Modeling bounded rationality
Schalk A., The Theory of Games and Game Models Lctn
Schelling T., The Strategy Of Conflict
Schmidt C., Game Theory and Economic Analysis A quiet revolution in economics
Stinchcombe M. B., Notes for a Course in Game Theory
Yildiz M., Game Theory Lecture Notes Introduction

Graph Theory
============
Bondy J., Murty U. – Graph Theory With Applications
Diestel R. – Graph Theory
Nishizeki T., Rahman M. – Planar Graph Drawing

Number Theory
=============
Apostol – Introduction To Analytic Number Theory
Bach E., Shallit J. – Algorithmic Number Theory, Vol. 1 Efficient Algorithms
Bachman G. – Introduction to p-adic Numbers and Valuation Theory
Baker A. – A Concise Introduction to the Theory of Numbers
Baker A. – Algebra and Number Theory
Baker A. – Transcendental Number Theory
Borevitch Z., Shafarevich I. – Number Theory
Borwein P. – Computational Excursions in Analysis and Number Theory
Burton David M. – Elementary Number Theory
Clark – Elementary Number Theory
Coates J. – Arithmetic Theory of Elliptic Curves
Cohen – A Course In Computational Algebraic Number Theory
Cohen Henri – A Course in Computational Algebraic Number Theory
Cohen Henri – Algorithmic Number Theory
Cohn Harvey – Advanced Number Theory (Dover, 1962)
Cohn Harvey – Advanced Number Theory
Dickson L. E. – History of the Theory of Numbers Vol. 2
Elementary Number Theory And Primality Tests
Erdos P.,Graham R. L. – Old And New Problems And Results In Combinatorial Number Theory
Everest G., Ward T. – An Introduction to Number Theory (Springer, 2005)
Flannery B. P., Press W. H., Teukolsky S. A., Vetterling W. T. – Numerical Recipes in C (2nd ed.)
Frege G. – The Foundations of Arithmetic (2nd ed.) Revised
Gaberdiel M. – An Introduction to Conformal Field Theory [jnl article]
Georg Cantor – Contributions to the Founding of the Theory of Transfinite Numbers
Ghorpade – Lectures on Topics in Algebraic Number Theory
Guy R. K. – Unsolved Problems In Number Theory (2nd ed.)
Hardy G. H., Wright E. M. – An Introduction To The Theory Of Numbers (4th Edition, 1962)
Hardy G., Wright E. – Introduction to the Theory of Numbers (4th ed.)
Hardy, Wright – An Introduction To The Theory of Numbers
Hilbert – The Elements of The Theory of Algebraic Numbers
Hoffman J. – Numerical Methods for Engineers and Scientists (2nd ed.)
Husemoeller D. – Elliptic Curves (2nd ed.)
Ibstedt H. – Mainly Natural Numbers – Studies on Sequences
Ibstedt H. – Surfing on the Ocean of Numbers
Iwaniec H., Kowalski E. – Analytic Number Theory
Iyanaga – Algebraic Number Theory
Jia, Matsumoto – Analytic Number Theory
Khinchin – Three Pearls of Number Theory
Kisacanin B. – Mathematical Problems and Proofs Combinatorics, Number Theory and Geometry
Kluwer – Mathematical Problems And Proofs  Combinatorics, Number Theory, and Geometry
Koblitz Neal – A Course In Number Theory And Cryptography (2nd ed.)
Lang Serge – Survey Of Diophantine Geometry
Leo Moser – An Introduction to the Theory of Numbers
Manin I., Panchishkin A. – Introduction to Modern Number Theory Fundamental Problems, Ideas and Theories (2nd ed.)
Milne J. – Algebraic Number Theory
Milne J. – M-Elliptic Curves – Notes for Math 679, University of Michigan
Montgomery H. L., Zuckerman H. S., Niven I. – An Introduction to the Theory of Numbers (5th ed.)
Murty M., Esmonde J. – Problems In Algebraic Number Theory (2nd ed.)
Nathanson M. B. – Elementary Methods in Number Theory
Newman D. J. – Analytic Number Theory
Nocedal J., Wright S. – Numerical Optimization
Numerical Recipes in Fortran 77 (2nd ed.) Vol 1
Odifreddi P. – The Theory of Functions and Sets of Natural Numbers
Platonov, Rapinchuk – Algebraic Groups and Number Theory
Pohst M. – Algorithmic Methods In Algebra And Number Theory
Pohst M. E. – Computational Algebraic Number Theory
Pollard H., Diamond H. G. – The Theory of Algebraic Numbers (2nd ed.)
Quarteroni A., Sacco A., Saleri F. – Numerical Mathematics
Ribenboim P. – The New Book Of Prime Number Records (3rd ed.)
Ribenboim Paul – My Numbers, My Friends – Popular Lectures On Number Theory (2)
Ribenboim Paul – My Numbers, My Friends – Popular Lectures On Number Theory
Sandor J. – Geometric Theorems, Diophantine Equations and Arithmetic Functions
Santos David – Elementary Number Theory Notes
Serre J. – A Course in Arithmetic (graduate level)
Shanks Daniel – Solved and unsolved problems in Number Theory
Shoup Victor – A Computational Introduction to Number Theory and Algebra
Sierpinski W. – Elementary Theory of Numbers
Smarandache F. – Definitions, Solved And Unsolved Problems, Conjectures and Theorems, In Number Theory And Geometry
Smarandache F. – Only Problems Not Solutions
Stein – An Explicit Approach To Elementary Number Theory
Victor S. – A Computational Introduction To Number Theory And Algebra
Weil A. – Number Theory For Beginners
Wells D. – Prime Numbers The Most Mysterious Figures in Mathematics
Yan S. Y. – Number Theory For Computing

Principia Mathematica
=====================
Russel, B., Whitehead, A. N. – Principia Mathematica Vol. 1
Russel, B., Whitehead, A. N. – Principia Mathematica Vol. 2
Russel, B., Whitehead, A. N. – Principia Mathematica Vol. 3

Probability and Statistics
==========================
Adams N. (ed.) – Methods & Models in Statistics (WSP, 2004)(261s)
Aitken A. – Statistical Mathematics (5ed., Interscience, 1947)(160s)
Altman D. – Statistics With Confidence (2nd edition, BMJ, 2005)
Bertsekas Dimitri, Tsitsiklis John N. – Introduction To Probability
Bryc Wlodzimierz – Applied Probability and Stochastic Processes
Capinski, Kopp – Measure Integral & Probability
Chung K. L. – A Course In Probability Theory
Congdon P. – Applied Bayesian Modelling
Drosg M. – Dealing with Uncertainties- A Guide to Error Analysis (Springer, 2007)
Durrett R. – Probability Theory and Examples (2nd ed.)
Feller W. – An Introduction to Probability Theory and its Applications Vol I
Frey B. – Statistics Hacks
Fukunaga K. – Introduction to Statistical Pattern Recognition (2nd ed.)
Geiss – An Introduction to Probability Theory
Ghosh Jayanta – An Introduction to Bayesian Analysis (Springer, 2006)
Gray R. – Probability, Random Processes, and Ergodic Properties
Grinstead C. M., Snell J. L. – Introduction to Probability (2nd ed.)
Grinstead, Snell – Introduction to Probability
Hoel P. – Introduction to Mathematical Statistics (6th ed.)
Hsu Hwei P. – Theory and Problems of Probability, Random Variables, and Random Processes
Jaynes E. T. – Probability Theory The Logic Of Science
Kallenberg Olav – Foundations of Modern Probability
Kallenberg Ollav – Probability and its Applications
Kinderman, Snell – Markov Random Fields And Their Applications
Kolmogorov A. N. – Foundations of the Theory of Probability
Lange K. – Applied Probability
Lee Elisa T., Wang John Wenyu – Statistical Methods for Survival Data Analysis (3rd Edition, Wiley)
Lipschutz, Seymour – Theory and Problems of Probability
Montgomery, Runger – Applied Statistics And Probability For Engineers (solution)
Montgomery, Runger – Applied Statistics And Probability For Engineers
Moore D. S. – The Basic Practice of Statistics (3rd ed.)
Mukhopadhya Nitis – Probability And Statistical Inference
Nelson Edward – Radically Elementary Probability Theory
Papoulis – Probability, Random Variables and Stochastic Processes (3rd ed)
Papoulis – Probability, Random Variables and Stochastic Processes
Peebles P. Z. – Probability, Random Variables and Random Signal Principles (2nd ed.)
Picard Jean – Lectures on Probability Theory and Statistics
Recent Advances in Applied Probability – Springer
Robert C. – The Bayesian Choice (2nd edition, Springer, 2007)
Ross Sheldon M. – Introduction To Probability Models (6th ed. 1997)
Ross Sheldon M. – Introduction to Probability Models (7th ed. 2007)
Rowe D. – Multivariable Bayesian Statistics
Rumsey D. – Statistics for Dummies
Ryan T – Modern Engineering Statistics (Wiley, 2007)
Satamtis D. H. – Six Sigma and Beyond Statistics and Probability, Volume III
Schay G. – Introduction to Probability with Statistical Applications (Birkhauser, 2007)
Shafer Glenn, Vovk Vladimir – Probability and Finance – It’s only a game
Shao J. – Mathematical Statistics, Exercises and Solutions (Springer, 2005)
Song P. – Correlated Data Analysis, Modeling, Analytics and Applicationlns (Springer, 2007)
Soong T. T. – Fundamentals of Probability and Statistics for Engineers
Spiegel M., Stephens L. – Schaum’s Outlines – Theory and Problems of Statistics (3rd ed.)
Tarantola A. – Probability and Measurements
Tutorials in Probability
Zwillinger Daniel – CRC Standard Probability and Statistics Tables and Formulae

Ramanujan Notebooks
===================
Ramanujan Notebooks I
Ramanujan Notebooks II
Ramanujan Notebooks III
Ramanujan’s Notebooks vol 1 – B. Berndt
Ramanujan’s Notebooks vol 2 – B. Berndt
Ramanujan’s Notebooks vol 3 – B. Berndt
Ramanujan’s Notebooks vol 4 – B. Berndt
Ramanujan’s Notebooks vol 5 – B. Berndt

Stochaistic Processes and Differential Equations
================================================
Bertsekas Dimitri P. – Stochastic Optimal Control The Discrete Time Case
Bichteler Klaus – Stochastic Integration with Jumps
Bryc W. Lodzimierz – Applied Probability And Stochastic Processes
Brzezniak Z., Zastawniak T. – Basic Stochastic Processes, A Course Through Exercises (Springer, 2002)
Cherny A., Englebert H. – Singular Stochastic Differential Equations
Crauel H., Gundlach M. – Stochastic Dynamics
Da Prato G., Tubaro L. – Stochastic Partial Differential Equations And Applications
Evans L. C. – Introduction To Stochastic Differential Equations
Friedman A. – Stochastic Differential Equations And Applications Vol 1
Friedman A. – Stochastic Differential Equations And Applications Vol 2
Haas P. – Stochastic Petri nets. Modelling, stability, simulation
Kannan D., Lakshmikantham V. – Handbook of Stochastic Analysis with Applications
Meyn S. – Markov Chains and Stochastic Stability
Oksenda, B. – Stochastic Differential Equations An Introduction with Applications (5th edition)
Pivato Marcus – Stochastic Processes and Stochastic Integration
Pollard D. – Convergence Of Stochastic Processes
Protter – Stochastic Integration and Differential Equations (2 edition)
Tijms H. C. – A First Course In Stochastic Models
Whitt Ward – Stochastic Process Limits

Topology
========
Aguilar M., Gitler S., Prieto C. – Algebraic Topology From A Homotopical Viewpoint (Springer)
Alexandroff P. – Elementary Concepts In Topology
Allen, Hacher – Notes on Basic 3-manifold Topology
Berger M. – A Panoramic View of Riemannian Geometry
Blackadar B. – K-theory for Operator Algebras (2nd ed.)
Brezis – Topology & Sobolev Spaces
Brin – Introduction to Differential Topology
Brin, Matthew G. – Introduction to Differential Topology
Bruzzo U. – Introduction to  Algebraic Topology and Algebraic Geometry
doCarmo M. – Riemannian Geometry
Dold A. – Lectures on Algebraic Topology (2nd ed.)
Driver – Topology and Functional Analysis
Dundas – Differential Topology
Geometry and Topology of 3-Manifolds – W. Thurston
Goldberg S. – Curvature and Homology, Revised Ed.
Hatcher A. – Algebraic Topology
Hatcher A. – Vector Bundles and K-Theory
Hatcher Allen – Algebraic Topology (secured)
Hatcher Allen – Algebraic Topology
Hill J. V., Reed G. – Open Problems In Topology
Ivanov, Kharlamov, Netsvetaev, Viro – Elementary Topology a First Course
Kaczynski , Mischaikow , Mrozek – Algebraic Topology  A Computational Approach
Lee J. – Introduction to Smooth Manifolds
Lefschetz S. – Algebraic Topology
Lipschutz, Seymour – Theory and Problems of General Topology
May J. P. – A Concise Course in Algebraic Topology
McCluskey A., McMaster B. – Topology Course Lecture Notes
Morris – Differential Topology
Morris, Sidney A. – Topology Without Tears
Muller – General Topology
Munkres J. – Topology (2nd ed.)
Nicolaescu – Notes On The Topology Of Complex Singularities
Riemannian Geometry, a Beginners Guide – F. Morgan
Roe J. – Index Theory, Coarse Geometry, and Topology of Manifolds
Sato H. – Algebraic Topology an Intuitive Approach
Schick – Operator Algebras and Topology
Seebach, Steen – Counterexamples In Topology
Simmons G. – Intorduction to Topology and Modern Analysis
Singer, Thorpe – Lecture Notes On Elementary Topology And Geometry
Thomas, Ward – Topology Lecture Notes
Venkatamarana T. – Cohomology of Arithmetic Groups, L-Functions and Automorphic
Warner – Topics In Topology And Homotopy Theory
Yan – Topology
Zomorodian – Topology for Computing

Other
=====
GRE Math Practice Test (2001)
Lin G., Li Y., Chan A. – Principles and Applications of Asymmetric Synthesis (Wiley, 2001)
Luenberger David G., Ye Yinyu – Linear and Nonlinear Programming (3rd edition, Springer)


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