zakimath’s blog

Berikut ini diberikan beberapa buku dan materi kuliah yang dapat di-download sebagai referensi belajar maupun untuk materi perkuliahan.

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Algoritma dan Teori Komputasi (Algorithm and Computational Thoery)

• Algorithms, by S. Dasgupta, C.H. Papadimitriou, and U.V. Vazirani (Berkeley).
• A Computational Introduction to Number Theory and Algebra, by Victor Shoup (Cambridge University Press).
• Algorithms and Complexity, by Herbert S. Wilf.
• Computer Algebra I and Computer Algebra II lecture notes by Joachim von zur Gathen and Jüergen Gerhard.
• Lecture Notes on Numerical Analysis, by Dennis Deturck and Herbert S. Wilf.

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Aljabar Abstrak/Pengantar Struktur Aljabar (Introduction to Abstract Algebra)

• Abstract Algebra: Theory and Applications, by Judson.

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Kriptografi (Cryptography)

• Handbook of Applied Cryptography, by Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone (CRC Press, 1996).
• Lecture Notes on Cryptography, ditulis oleh S. Goldwasser and M. Bellare. Merupakan materi kuliah Kriptografi di Massachusetts Institute of Technology (MIT), 1996-2008.
• Cryptography Lectures, by David Wagner (Berkeley).
• Introduction to Modern Cryptography, Mihir Bellare and Phillip Rogaway.
• Methods of Cryptanalysis, by Dr. Alex Biryukov.

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Matematika Diskrit (Discrete Mathematics)

• Discrete Mathematics lecture notes by Laszlo Lovasz and Kati Vesztergomb.
• Combinatory analysis by Percy A. MacMaho.
• Generating Functionology by Herbert S. Wilf.

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Pengantar Analisis Real (Introduction to Real Analysis)

• Pengantar Analisis Real I. Buku ini merupakan materi kuliah Pengantar Analisis Real I yang saya tulis berdasarkan kuliah yang pernah saya tempuh pada Jurusan Matematika UGM.

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Teori Bilangan (Number Theory)

• Online number theory lecture notes, by Keith Matthews.
• Elementary Number Theory, by William A. Stei.
• A Brief Introduction To Classical And Adelic Algebraic Number Theory by William A. Stei.
• An Explicit Approach to Number Theory (alternate link), lecture notes and a book by William A. Stei.
• Analytic and Combinatorial Number Theory course notes by Paul Pollack.

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Teori Grup (Group Theory)

• Group Theory, by J.S. Milne.

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Teori Graf (Graph Theory)

• Graph Theory: lecture notes, by Tero Harju.
• Graph Theory by Reinhard Diestel. Silahkan download di link2: Graph Theory 1, Graph Theory 2, atau Graph Theory 3.

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Topologi Aljabarik (Algebraic Topology)

• “Algebraic Topology”, “Vector Bundles and K-Theory”, “Spectral Sequences in Algebraic Topology”, “3-Manifolds”, by Allen Hatcher.