Gottschalk's Gestalts

The packets are listed below with the title and number of pages each contains.

Please read the Author's Introduction for more information on how they are are meant to be used.

The few that are not available are listed in grey, and will be posted soon.

Reading the packets requires Adobe Acrobat Reader 4.0 or later. The Transcendental Trellis #1 (43) The Inverse Function Tableau #2 (29) The Fundamental Theorem of Calculus #3 (23) The Telltale Tableau of Calculus #4 (12) An Ingenious Instantaneous Way To Invent Interesting Functions Is To Integrate & Invert #5 (16) Abbreviations for Mathematics General Rules #6 (44) Abbreviations for Mathematics Special Rules #7 (51) My Style #8 (24) The Cylinder, The Cone, The Sphere and Their Archimedean Ratios #9 (44) The Panoramic Pentagon #10 (21) An Esthetic/Philosophical Appreciation of the Biggest Little Formula in Mathematics: e to the πi power plus 1 equals 0 #11 (33) The Early History of General Topological Dynamics #12 (14) Percentage #13 (20) Integers Defined As Sets #14 (15) Sets of Integers #15 (27) Angles on Angles #16 (51) What Is Geometry? #17 (26) The Sigma Summation Notation #18 (28) Roman Numerals #19 (17) Quaternions & Octonions Made Easy #20 (22) Trig Patterns #21 (39) The 44 Most Serviceable Trig Identities #22 (27) A Semi-Systematic Sampling of Trig Identities: Part I #23 (42) A Semi-Systematic Sampling of Trig Identities: Part II #24 (38) A Semi-Systematic Sampling of Trig Identities: Part III #25 (32) A Semi-Systematic Sampling of Trig Identities: Part IV #26 (43) Formulas for Triangles #27 (23) Math Snippets: First Bouquet #28 (30) Math Snippets: Second Bouquet #29 (31) Math Snippets: Third Bouquet #30 (32) Math Snippets: Fourth Bouquet #31 (29) Bernoulli Numbers and Bernoulli Polynomials #32 (37) Initial Analogies: Line in Plane, Plane in Space, Line in Space #33 (32) Posets & Tosets & Wosets #34 (116) Quadratic Polynomials and Equations # 35 (23) The Ackermann Number Explosion #36 (18) Orientation #37 (10) From EVT & IVT to Topology #38 (21) A Parade of Integrals #39 (18) That Sterling Formula: Stirling's Formula #40 (10) Show & Tell: Tell & Tally #41 (8) All Good Things Come In Three's #42 (113) Extremely Valuable Mean Value Theorems #43 (21) Math Allusions & Overtones in G&S #44 (9) Math Medley #45 (30) The Four Functions in the Del #46 (10) Some Math Allusions in the Good Book #47 (25) Some Guises & Roles of Natlogbase e #48 (81) Initial Letters Provide Literal Notation #49 (39) Alphabetic Runs Make Good Signs #50 (12) Number Set Notation from Integers to Octonions #51 (23) Three Momentous Means: AM, GM, AGM #52 (25) Math Chants #53 (47) The Geometry of Compass Directions #54 (28) Adjoining Infinities to Number Systems #55 (16) A Short Series of Serious Series Six-Packs #56 (48) Basic Blocks In Equality & Inequality & Diagram #57 (39) Math Snatches & Patches #58 (34) Geometry Shards #59 (30) Euclid: The Elements & The Elementator #60 (19) A Small Slice of Pi #61 (31) A Few Good Distance-Rate-Time Problems #62 (14) Units for Astronomical Distances #63 (10) SI Quantities/Units/Prefixes/Symbols #64 (104) Intro Info on Regular Polygons #65 (61) The Hyperpower Function #66 (6) Reunits #67 (10) A Smidgen of Symmetric Functions #68 (67) The Fascinating Fractious Egyptian Fractions #69 (58) The Perfect Definition of a Topology of a Set #70 (14) Basic Topological Predicates, Relations, Operators #71 (57) Thick & Thin Sets in Topological Spaces #72 (20) Comments on the Three Big C's of General Topology: Compact, Connected, Continuous #73 (30) Scratching the Surface of Topological Surfaces #74 (18) Identities in Commutative Rings #75 (32) Basic Notation & Terminology for Fields #76 (17) The Mamas & The Papas of The Math X-Files & Episodic Epitomizing Epithets & A Bit More #77 (38) The Bernoulli Names Tabulated #78 (8) The Graphs of Real Second-degree Binary Polynomial Equations #79 (25) Some Quaint & Curious & Almost Forgotten Trig Functions #80 (25) How to Extract Square Roots the Old-Fashioned Way #81 (23) Deradicalizing Radicals #82 (48) Patterns of Sums & Products of Decimal Digits #83 (67) Triple-Treat Triangles #84 (63) In Pursuit of Perfection: The Five Platonic Polyhedra #85 (141) Classifications of Propositional Operations #86 (12) Series Expansions for the Twelve Basic Real Trigonometric and Hyperbolic Functions and Their Inverses #87 (29) Good Things about the Gudermannian #88 (31) The Classical Greek Alphabet #89 (14) Certain Classes of Abbreviations #90 (31) Some Words for & from Math #91 (54) Cramer's Rule #92 (19) Aphorisms for Math & a Bit/Byte More #93 (11) Comparisons & Contrasts #94 (18) Math Snippets: Fifth Bouquet #95 (25) Math Snippets: Sixth Bouquet #96 (24) A Short Semi-Systematic Selection of Indefinite Integrals Classified as Elementary or Nonelementary #97 (19) The Algebra of Real 3-Vectors #98 (89) How to 'Derive' the Gamma Function #99 (14) Theme & Variations: Defining a Group #100 (26)

Please read the Author's Introduction for more information on how they are are meant to be used.

The few that are not available are listed in grey, and will be posted soon.

Reading the packets requires Adobe Acrobat Reader 4.0 or later. The Transcendental Trellis #1 (43) The Inverse Function Tableau #2 (29) The Fundamental Theorem of Calculus #3 (23) The Telltale Tableau of Calculus #4 (12) An Ingenious Instantaneous Way To Invent Interesting Functions Is To Integrate & Invert #5 (16) Abbreviations for Mathematics General Rules #6 (44) Abbreviations for Mathematics Special Rules #7 (51) My Style #8 (24) The Cylinder, The Cone, The Sphere and Their Archimedean Ratios #9 (44) The Panoramic Pentagon #10 (21) An Esthetic/Philosophical Appreciation of the Biggest Little Formula in Mathematics: e to the πi power plus 1 equals 0 #11 (33) The Early History of General Topological Dynamics #12 (14) Percentage #13 (20) Integers Defined As Sets #14 (15) Sets of Integers #15 (27) Angles on Angles #16 (51) What Is Geometry? #17 (26) The Sigma Summation Notation #18 (28) Roman Numerals #19 (17) Quaternions & Octonions Made Easy #20 (22) Trig Patterns #21 (39) The 44 Most Serviceable Trig Identities #22 (27) A Semi-Systematic Sampling of Trig Identities: Part I #23 (42) A Semi-Systematic Sampling of Trig Identities: Part II #24 (38) A Semi-Systematic Sampling of Trig Identities: Part III #25 (32) A Semi-Systematic Sampling of Trig Identities: Part IV #26 (43) Formulas for Triangles #27 (23) Math Snippets: First Bouquet #28 (30) Math Snippets: Second Bouquet #29 (31) Math Snippets: Third Bouquet #30 (32) Math Snippets: Fourth Bouquet #31 (29) Bernoulli Numbers and Bernoulli Polynomials #32 (37) Initial Analogies: Line in Plane, Plane in Space, Line in Space #33 (32) Posets & Tosets & Wosets #34 (116) Quadratic Polynomials and Equations # 35 (23) The Ackermann Number Explosion #36 (18) Orientation #37 (10) From EVT & IVT to Topology #38 (21) A Parade of Integrals #39 (18) That Sterling Formula: Stirling's Formula #40 (10) Show & Tell: Tell & Tally #41 (8) All Good Things Come In Three's #42 (113) Extremely Valuable Mean Value Theorems #43 (21) Math Allusions & Overtones in G&S #44 (9) Math Medley #45 (30) The Four Functions in the Del #46 (10) Some Math Allusions in the Good Book #47 (25) Some Guises & Roles of Natlogbase e #48 (81) Initial Letters Provide Literal Notation #49 (39) Alphabetic Runs Make Good Signs #50 (12) Number Set Notation from Integers to Octonions #51 (23) Three Momentous Means: AM, GM, AGM #52 (25) Math Chants #53 (47) The Geometry of Compass Directions #54 (28) Adjoining Infinities to Number Systems #55 (16) A Short Series of Serious Series Six-Packs #56 (48) Basic Blocks In Equality & Inequality & Diagram #57 (39) Math Snatches & Patches #58 (34) Geometry Shards #59 (30) Euclid: The Elements & The Elementator #60 (19) A Small Slice of Pi #61 (31) A Few Good Distance-Rate-Time Problems #62 (14) Units for Astronomical Distances #63 (10) SI Quantities/Units/Prefixes/Symbols #64 (104) Intro Info on Regular Polygons #65 (61) The Hyperpower Function #66 (6) Reunits #67 (10) A Smidgen of Symmetric Functions #68 (67) The Fascinating Fractious Egyptian Fractions #69 (58) The Perfect Definition of a Topology of a Set #70 (14) Basic Topological Predicates, Relations, Operators #71 (57) Thick & Thin Sets in Topological Spaces #72 (20) Comments on the Three Big C's of General Topology: Compact, Connected, Continuous #73 (30) Scratching the Surface of Topological Surfaces #74 (18) Identities in Commutative Rings #75 (32) Basic Notation & Terminology for Fields #76 (17) The Mamas & The Papas of The Math X-Files & Episodic Epitomizing Epithets & A Bit More #77 (38) The Bernoulli Names Tabulated #78 (8) The Graphs of Real Second-degree Binary Polynomial Equations #79 (25) Some Quaint & Curious & Almost Forgotten Trig Functions #80 (25) How to Extract Square Roots the Old-Fashioned Way #81 (23) Deradicalizing Radicals #82 (48) Patterns of Sums & Products of Decimal Digits #83 (67) Triple-Treat Triangles #84 (63) In Pursuit of Perfection: The Five Platonic Polyhedra #85 (141) Classifications of Propositional Operations #86 (12) Series Expansions for the Twelve Basic Real Trigonometric and Hyperbolic Functions and Their Inverses #87 (29) Good Things about the Gudermannian #88 (31) The Classical Greek Alphabet #89 (14) Certain Classes of Abbreviations #90 (31) Some Words for & from Math #91 (54) Cramer's Rule #92 (19) Aphorisms for Math & a Bit/Byte More #93 (11) Comparisons & Contrasts #94 (18) Math Snippets: Fifth Bouquet #95 (25) Math Snippets: Sixth Bouquet #96 (24) A Short Semi-Systematic Selection of Indefinite Integrals Classified as Elementary or Nonelementary #97 (19) The Algebra of Real 3-Vectors #98 (89) How to 'Derive' the Gamma Function #99 (14) Theme & Variations: Defining a Group #100 (26)